idx int64 0 730k | prompt stringlengths 19 4.43k | text stringlengths 47 5.74k | dataset_name stringclasses 5
values |
|---|---|---|---|
200 | Question: If S is the product of all positive integers less than 31, than what is the greatest integer k for which S/18^k is an integer?
Options: ['A)3', 'B)6', 'C)7', 'D)14', 'E)26']
Answer: | Question: If S is the product of all positive integers less than 31, than what is the greatest integer k for which S/18^k is an integer?
Options: ['A)3', 'B)6', 'C)7', 'D)14', 'E)26']
Answer: 30! S must be divisible by (3*3*2)^k.
As I will find a lot of 2's among 30!'s factors I will focus on the 3's (that also occurs ... | aqua_rat |
201 | Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Options: ['A)3: 8', 'B)3: 6', 'C)3: 7', 'D)3: 1', 'E)3: 3']
Answer: | Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Options: ['A)3: 8', 'B)3: 6', 'C)3: 7', 'D)3: 1', 'E)3: 3']
Answer: d = 3d d = d
a√2 = 3d a√2 = d
a = 3d/√2 a = d/√2 => 3: 1
Answer:D<|endoftext|> | aqua_rat |
202 | Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
Options: ['A)22', 'B)72', 'C)37', 'D)16', 'E)88']
Answer: | Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
Options: ['A)22', 'B)72', 'C)37', 'D)16', 'E)88']
Answer: Explanation:
L.C.M. of 2, 4, 6, 8, 10, 12 is 120.
So, the bells will toll together after every... | aqua_rat |
203 | Question: A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ?
Options: ['A)13.33', 'B)26.67', 'C)40', 'D)66.67', 'E)50']
Answer: | Question: A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ?
Options: ['A)13.33', 'B)26.67', 'C)40', 'D)66.67', 'E)50']
Answer: Explanation:
Speed = 150+300/40.5m/sec
=450/40.5=18/5km/hr = 40 km/hr.
ANSWER IS C<|endoftext|> | aqua_rat |
204 | Question: The ratio of the number of boys and girls in a college is 7:8.If the percentage increase in the number of boys and girls be 20% and 10% respectively.What will be the new ratio?
Options: ['A)22:21', 'B)19:22', 'C)23:22', 'D)22:19', 'E)21:22']
Answer: | Question: The ratio of the number of boys and girls in a college is 7:8.If the percentage increase in the number of boys and girls be 20% and 10% respectively.What will be the new ratio?
Options: ['A)22:21', 'B)19:22', 'C)23:22', 'D)22:19', 'E)21:22']
Answer: Let the number of boys and girls in the college be 7x and 8x... | aqua_rat |
205 | Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 3. The numbers are
Options: ['A)12, 24, 30', 'B)12, 24, 38', 'C)12, 24, 362', 'D)3, 6, 9', 'E)12, 24, 321']
Answer: | Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 3. The numbers are
Options: ['A)12, 24, 30', 'B)12, 24, 38', 'C)12, 24, 362', 'D)3, 6, 9', 'E)12, 24, 321']
Answer: Explanation:
Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x= 3
\inline \fn_jvn \therefore The numbers are 3, 6, 9
... | aqua_rat |
206 | Question: A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun two times, approximately what is the probability that the product of... | Question: A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun two times, approximately what is the probability that the product of... | aqua_rat |
207 | Question: What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?
Options: ['A)420', 'B)560', 'C)840', 'D)960', 'E)1080']
Answer: | Question: What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?
Options: ['A)420', 'B)560', 'C)840', 'D)960', 'E)1080']
Answer: The integers are 1 , 2 , 3 , 4 , 5 , 6 , 7 and 8
Lowest positive integer that is is divisible by each of the integers 1 through 8
= 2^3 * 3 * 5 ... | aqua_rat |
208 | Question: How many different subsets of the set {0, 1, 2, 3, 4, 5,6,} do not contain 0?
Options: ['A)A.66', 'B)B.57', 'C)C.31', 'D)D.32', 'E)E.58']
Answer: | Question: How many different subsets of the set {0, 1, 2, 3, 4, 5,6,} do not contain 0?
Options: ['A)A.66', 'B)B.57', 'C)C.31', 'D)D.32', 'E)E.58']
Answer: Number of subset
Since we have 6 digits other than 0, we can take any numbers from the set of 6 to make a subset. Also it is a matter of selection and not arrangeme... | aqua_rat |
209 | Question: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, third hour it has 40 and so on). If tank B is 1/32 filled after 21 h... | Question: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, third hour it has 40 and so on). If tank B is 1/32 filled after 21 h... | aqua_rat |
210 | Question: Find the sum of first 30 natural numbers
Options: ['A)470', 'B)468', 'C)465', 'D)463', 'E)487']
Answer: | Question: Find the sum of first 30 natural numbers
Options: ['A)470', 'B)468', 'C)465', 'D)463', 'E)487']
Answer: Explanation:
Sum of n natural numbers
=n(n+1) / 2
=30(30+1) / 2=30(31) / 2=465
Option C<|endoftext|> | aqua_rat |
211 | Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Options: ['A)298', 'B)608', 'C)279', 'D)280', 'E)269']
Answer: | Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Options: ['A)298', 'B)608', 'C)279', 'D)280', 'E)269']
Answer: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280
Answer:D<|endoftext|> | aqua_rat |
212 | Question: If K is the sum of reciprocals of the consecutive integers from 53 to 58, inclusive, then K is closest in value to which of the following?
Options: ['A)1/12', 'B)1/10', 'C)1/8', 'D)1/6', 'E)1/10']
Answer: | Question: If K is the sum of reciprocals of the consecutive integers from 53 to 58, inclusive, then K is closest in value to which of the following?
Options: ['A)1/12', 'B)1/10', 'C)1/8', 'D)1/6', 'E)1/10']
Answer: 1/53 , 1/54 , 1/55 , 1/56 , 1/57 , 1/58
Hypothetically , assume all 6 Numbers to be 1/53
Hence sum of it ... | aqua_rat |
213 | Question: John takes a trip and drives 9 hours from Town X to Town Z at a rate of 60 miles per hour. On his way back, John drives 85 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?
Options: ['A)1.75', 'B)1.25', 'C)1.45', 'D)... | Question: John takes a trip and drives 9 hours from Town X to Town Z at a rate of 60 miles per hour. On his way back, John drives 85 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?
Options: ['A)1.75', 'B)1.25', 'C)1.45', 'D)... | aqua_rat |
214 | Question: A company has 100 employees, 40% of whom are employed part time. If it hires 25 new employees, 40% of whom are employed part time, what will be the percent increase in part time employees?
Options: ['A)1 2/3 %', 'B)2 2/3 %', 'C)4 %', 'D)25 %', 'E)9 %']
Answer: | Question: A company has 100 employees, 40% of whom are employed part time. If it hires 25 new employees, 40% of whom are employed part time, what will be the percent increase in part time employees?
Options: ['A)1 2/3 %', 'B)2 2/3 %', 'C)4 %', 'D)25 %', 'E)9 %']
Answer: Total employee = 100
Part time Empl = 40
New part... | aqua_rat |
215 | Question: In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then ho... | Question: In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then ho... | aqua_rat |
216 | Question: To furnish a room in a model home an interior decorator is to select 4 chairs and 4 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 75 different combinations are possible, how many tables are there in the ware... | Question: To furnish a room in a model home an interior decorator is to select 4 chairs and 4 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 75 different combinations are possible, how many tables are there in the ware... | aqua_rat |
217 | Question: A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Options: ['A)66... | Question: A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Options: ['A)66... | aqua_rat |
218 | Question: 160 is what percent of 50 ?
Options: ['A) 5%', 'B) 20%', 'C) 320%', 'D) 200%', 'E) 500%']
Answer: | Question: 160 is what percent of 50 ?
Options: ['A) 5%', 'B) 20%', 'C) 320%', 'D) 200%', 'E) 500%']
Answer: 50*x=160 --> x=3.2 --> 3.2 expressed as percent is 320%.
Answer: C.<|endoftext|> | aqua_rat |
219 | Question: What will come in place of the x in the following Number series? 46080, 3840, ?, 48, 8, 2, 1
Options: ['A)1', 'B)384', 'C)5', 'D)7', 'E)9']
Answer: | Question: What will come in place of the x in the following Number series? 46080, 3840, ?, 48, 8, 2, 1
Options: ['A)1', 'B)384', 'C)5', 'D)7', 'E)9']
Answer: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
8/4 = 2
2 /2 = 1
B<|endoftext|> | aqua_rat |
220 | Question: The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
Options: ['A)10%', 'B)20%', 'C)25%', 'D)30%', 'E)45%']
Answer: | Question: The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
Options: ['A)10%', 'B)20%', 'C)25%', 'D)30%', 'E)45%']
Answer: Sol. Required change = (20*100)/(100-20)=25%
C<|endoftext|> | aqua_rat |
221 | Question: Find the average of first 20 natural numbers?
Options: ['A)5.5', 'B)7.2', 'C)10.5', 'D)12.3', 'E)15.5']
Answer: | Question: Find the average of first 20 natural numbers?
Options: ['A)5.5', 'B)7.2', 'C)10.5', 'D)12.3', 'E)15.5']
Answer: Sum of first n natural numbers = n(n+1)/2
sum of first 20 natural numbers = 20*21/2 =210
average = 210/20 = 10.5
Answer is C<|endoftext|> | aqua_rat |
222 | Question: The inverse ratio of 4: 2: 1 is?
Options: ['A)2:4:8', 'B)2:3:9', 'C)2:3:2', 'D)2:3:6', 'E)2:3:1']
Answer: | Question: The inverse ratio of 4: 2: 1 is?
Options: ['A)2:4:8', 'B)2:3:9', 'C)2:3:2', 'D)2:3:6', 'E)2:3:1']
Answer: 1/4: 1/2: 1/1 = 2:4:8
Answer:A<|endoftext|> | aqua_rat |
223 | Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Options: ['A)3', 'B)8', 'C)9', 'D)6', 'E)4']
Answer: | Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Options: ['A)3', 'B)8', 'C)9', 'D)6', 'E)4']
Answer: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B<|endoftext|> | aqua_rat |
224 | Question: A password of a computer used two digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Options: ['A)1/32', 'B)1/16', 'C)1/8', 'D)2/5', 'E)1/4']
Answer: | Question: A password of a computer used two digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Options: ['A)1/32', 'B)1/16', 'C)1/8', 'D)2/5', 'E)1/4']
Answer: We have two digits can be used for password -0,2,3,5,7.
Assuming that the numbers can be r... | aqua_rat |
225 | Question: Three times the first of three consecutive odd integers is 8 more than twice the third. The third integer is:
Options: ['A)9', 'B)11', 'C)13', 'D)15', 'E)20']
Answer: | Question: Three times the first of three consecutive odd integers is 8 more than twice the third. The third integer is:
Options: ['A)9', 'B)11', 'C)13', 'D)15', 'E)20']
Answer: Let the three integers be x, x + 2 and x+ 4.
Then,
3x = 2(x + 4) + 8
x = 16
Third integer = x + 4 = 20.
ANSWER:E<|endoftext|> | aqua_rat |
226 | Question: NHAI employs 100 men to build a highway of 2km in 50 days working 8 hours a day. If in 25 days they completed 1/3 part of work .than how many more employees should NHAI hire to finish it in time working 10 hours a day?
Options: ['A)22', 'B)60', 'C)28', 'D)11', 'E)218']
Answer: | Question: NHAI employs 100 men to build a highway of 2km in 50 days working 8 hours a day. If in 25 days they completed 1/3 part of work .than how many more employees should NHAI hire to finish it in time working 10 hours a day?
Options: ['A)22', 'B)60', 'C)28', 'D)11', 'E)218']
Answer: Here 2km is immaterial. The give... | aqua_rat |
227 | Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 60 km and the other at the rate of 90 kmph. In what time will they be completely clear of each other from the moment they meet?
Options: ['A)4.85', 'B)7.85', 'C)6.85', 'D)5.85', 'E)6.62']
Answer:... | Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 60 km and the other at the rate of 90 kmph. In what time will they be completely clear of each other from the moment they meet?
Options: ['A)4.85', 'B)7.85', 'C)6.85', 'D)5.85', 'E)6.62']
Answer:... | aqua_rat |
228 | Question: A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Options: ['A)277 m', 'B)700 m', 'C)800 m', 'D)187 m', 'E)1678 m']
Answer: | Question: A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Options: ['A)277 m', 'B)700 m', 'C)800 m', 'D)187 m', 'E)1678 m']
Answer: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (500 + x)/60 ... | aqua_rat |
229 | Question: The price of a radio was increased by 25 percent. The new price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
Options: ['A)80%', 'B)75%', 'C)65%', 'D)50%', 'E)45%']
Answer: | Question: The price of a radio was increased by 25 percent. The new price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
Options: ['A)80%', 'B)75%', 'C)65%', 'D)50%', 'E)45%']
Answer: consider base price - $100
25% increase = 1.25*100 = $125
another ... | aqua_rat |
230 | Question: Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is :
Options: ['A)500 km', 'B)630 km', 'C)900 km', 'D)660 km', 'E)None']
Ans... | Question: Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is :
Options: ['A)500 km', 'B)630 km', 'C)900 km', 'D)660 km', 'E)None']
Ans... | aqua_rat |
231 | Question: What is the investment made if one invests in 15% stock at 50 and earns Rs.2000?
Options: ['A)5000', 'B)2767', 'C)2697', 'D)126967', 'E)19771']
Answer: | Question: What is the investment made if one invests in 15% stock at 50 and earns Rs.2000?
Options: ['A)5000', 'B)2767', 'C)2697', 'D)126967', 'E)19771']
Answer: Explanation:
To earn Rs.15, investment = Rs.50.
Hence, to earn Rs.1500, investment = (1500*50)/15
= Rs.5000
ANSWER: A<|endoftext|> | aqua_rat |
232 | Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 25 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a... | Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 25 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a... | aqua_rat |
233 | Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was Rs. 28000, find the earning of Nandan.
O... | Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was Rs. 28000, find the earning of Nandan.
O... | aqua_rat |
234 | Question: A certain bakery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x?
Options: ['A) 1.50', 'B) 1.75', 'C) 2.00', 'D) 2.50'... | Question: A certain bakery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x?
Options: ['A) 1.50', 'B) 1.75', 'C) 2.00', 'D) 2.50'... | aqua_rat |
235 | Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length Z of time will elapse before they chime together again?
Options: ['A)2 hr. and 24 min.', 'B)4 hr. and 48 min.', 'C)1 hr. and 36 min.', 'D)5 hr.', 'E)2 hr.']
Answer: | Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length Z of time will elapse before they chime together again?
Options: ['A)2 hr. and 24 min.', 'B)4 hr. and 48 min.', 'C)1 hr. and 36 min.', 'D)5 hr.', 'E)2 hr.']
Answer: It should be simp... | aqua_rat |
236 | Question: A man can row downstream at 25 kmph and upstream at 15 kmph. Find the time to reach a destination point at a distance of 50km along the downstream.
Options: ['A)4 hrs.', 'B)1 hrs.', 'C)3 hrs.', 'D)2 hrs.', 'E)2 1/2 hrs.']
Answer: | Question: A man can row downstream at 25 kmph and upstream at 15 kmph. Find the time to reach a destination point at a distance of 50km along the downstream.
Options: ['A)4 hrs.', 'B)1 hrs.', 'C)3 hrs.', 'D)2 hrs.', 'E)2 1/2 hrs.']
Answer: Let the speed of the man in downstream=25 kmph. distance to be covered along the... | aqua_rat |
237 | Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C19, E21, __, I25, K27, ... What number should fill the blank?
Options: ['A)D20', 'B)E21', 'C)F22', 'D)G23', 'E)H24']
Answer: | Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C19, E21, __, I25, K27, ... What number should fill the blank?
Options: ['A)D20', 'B)E21', 'C)F22', 'D)G23', 'E)H24']
Answer: B
G23
In this series, the letters progress by... | aqua_rat |
238 | Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Options: ['A)276m', 'B)180m', 'C)286m', 'D)288m', 'E)277m']
Answer: | Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Options: ['A)276m', 'B)180m', 'C)286m', 'D)288m', 'E)277m']
Answer: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer:B<|endofte... | aqua_rat |
239 | Question: The ratio of three numbers is 2:3:5 and their sum is 150. The second number of the three numbers is?
Options: ['A)24', 'B)26', 'C)27', 'D)29', 'E)45']
Answer: | Question: The ratio of three numbers is 2:3:5 and their sum is 150. The second number of the three numbers is?
Options: ['A)24', 'B)26', 'C)27', 'D)29', 'E)45']
Answer: 2:3:5
Total parts = 10
10 parts --> 150
1 part ---->15
The second number of the three numbers is = 3*15= 45
Answer : E<|endoftext|> | aqua_rat |
240 | Question: For any real number x, the operatoris defined as:
(x) = x(2 − x)
If p + 2 =(p + 2), then p =
Options: ['A)1', 'B)0', 'C)1', 'D)-2', 'E)3']
Answer: | Question: For any real number x, the operatoris defined as:
(x) = x(2 − x)
If p + 2 =(p + 2), then p =
Options: ['A)1', 'B)0', 'C)1', 'D)-2', 'E)3']
Answer: (x) = x(2 − x)
(p + 2) = (p + 2)(2 - p - 2) = -p(p+1)
We are given that p + 2 =(p + 2)
Therefore -p(p+2) = (p + 2)
Or (p + 2) + p(p+2) = 0
(p + 2)(p+1) = 0
p = -1,... | aqua_rat |
241 | Question: Calculate the circumference of a circular field whose radius is 5 centimeters.
Options: ['A)2', 'B)4', 'C)6', 'D)8', 'E)10']
Answer: | Question: Calculate the circumference of a circular field whose radius is 5 centimeters.
Options: ['A)2', 'B)4', 'C)6', 'D)8', 'E)10']
Answer: Circumference C is given by
C = 2πr = 2π*5 = 10 π cm
correct answer E<|endoftext|> | aqua_rat |
242 | Question: The average age of five persons is 40 years while the average age of some other 10 persons is 25 years. The average age of all the 15 persons is:
Options: ['A)27 Years', 'B)32 Years', 'C)37 Years', 'D)30 Years', 'E)35 Years']
Answer: | Question: The average age of five persons is 40 years while the average age of some other 10 persons is 25 years. The average age of all the 15 persons is:
Options: ['A)27 Years', 'B)32 Years', 'C)37 Years', 'D)30 Years', 'E)35 Years']
Answer: x/5==40
x==200
after 10 person
x/10==25
x==250
so avg btwn 15 person is,,
(2... | aqua_rat |
243 | Question: A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, ... | Question: A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, ... | aqua_rat |
244 | Question: What is the greatest prime factor of 2^10 - 1?
Options: ['A)17', 'B)19', 'C)23', 'D)29', 'E)31']
Answer: | Question: What is the greatest prime factor of 2^10 - 1?
Options: ['A)17', 'B)19', 'C)23', 'D)29', 'E)31']
Answer: 2^10-1 = (2^5-1)(2^5+1) = 31*33
The answer is E.<|endoftext|> | aqua_rat |
245 | Question: A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Options: ['A)... | Question: A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Options: ['A)... | aqua_rat |
246 | Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
Options: ['A)three times as much', 'B)twice as much', 'C)the same', 'D)half as much', 'E)a third as much']
Answer: | Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
Options: ['A)three times as much', 'B)twice as much', 'C)the same', 'D)half as much', 'E)a third as much']
Answer: Let speed of the 1st tr... | aqua_rat |
247 | Question: There are 32 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Options: ['A)1800', 'B)1820', 'C)1150', 'D)1122', 'E)1900']
Answer: | Question: There are 32 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Options: ['A)1800', 'B)1820', 'C)1150', 'D)1122', 'E)1900']
Answer: The total number of stations= 34
From 34 Stations we have to choose a... | aqua_rat |
248 | Question: There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of persons in P is double the number of persons in Q. How many persons are there in building P?
Options: ['A)110', 'B)100', 'C)120',... | Question: There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of persons in P is double the number of persons in Q. How many persons are there in building P?
Options: ['A)110', 'B)100', 'C)120',... | aqua_rat |
249 | Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of t... | Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of t... | aqua_rat |
250 | Question: A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
Options: ['A)$180000', 'B)$280000', 'C)$380000', 'D)$480000', 'E)None']
Answer: | Question: A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
Options: ['A)$180000', 'B)$280000', 'C)$380000', 'D)$480000', 'E)None']
Answer: Solution:
The expenditure incurred on each item is expressed as part of... | aqua_rat |
251 | Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Options: ['A)3', 'B)5', 'C)6', 'D)7', 'E)9']
Answer: | Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Options: ['A)3', 'B)5', 'C)6', 'D)7', 'E)9']
Answer: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer:A<|endoftext|> | aqua_rat |
252 | Question: Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and twice the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Options: ['A)(16/3)b', 'B)(17/4)b', 'C)(13/4)b', 'D)(9/2)b', 'E)(7/12)b']
Answer: | Question: Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and twice the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Options: ['A)(16/3)b', 'B)(17/4)b', 'C)(13/4)b', 'D)(9/2)b', 'E)(7/12)b']
Answer: Step 1: Cat... | aqua_rat |
253 | Question: If a - b = 2 and a2 + b2 = 25, find the value of ab.
Options: ['A)A)10.5', 'B)B)12', 'C)C)15', 'D)D)18', 'E)E)20']
Answer: | Question: If a - b = 2 and a2 + b2 = 25, find the value of ab.
Options: ['A)A)10.5', 'B)B)12', 'C)C)15', 'D)D)18', 'E)E)20']
Answer: Explanation:
2ab = (a2 + b2) - (a - b)2
= 25 - 4 = 21
ab =10.5
Answer: A<|endoftext|> | aqua_rat |
254 | Question: 3, 7, 15, 31, 63, ?
Options: ['A)125', 'B)112', 'C)153', 'D)173', 'E)127']
Answer: | Question: 3, 7, 15, 31, 63, ?
Options: ['A)125', 'B)112', 'C)153', 'D)173', 'E)127']
Answer: E
127
Each number in the series is the preceding number multiplied by 2 and then increased by 1.<|endoftext|> | aqua_rat |
255 | Question: If the complement of a certain angle is two times the measure of that certain angle, then what is the measure of that certain angle?
Options: ['A)45°', 'B)30°', 'C)22.5°', 'D)18°', 'E)15°']
Answer: | Question: If the complement of a certain angle is two times the measure of that certain angle, then what is the measure of that certain angle?
Options: ['A)45°', 'B)30°', 'C)22.5°', 'D)18°', 'E)15°']
Answer: Thecomplementof angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a r... | aqua_rat |
256 | Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
Options: ['A)2 days', 'B)1 day', 'C)3 days', 'D)5 days', 'E)7 days']
Answer: | Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
Options: ['A)2 days', 'B)1 day', 'C)3 days', 'D)5 days', 'E)7 days']
Answer: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
B)<|e... | aqua_rat |
257 | Question: If the sum of 1/3 and 22/99 is converted to a decimal, what is the 3000th digit to the right of the decimal place?
Options: ['A)2', 'B)3', 'C)5', 'D)8', 'E)9']
Answer: | Question: If the sum of 1/3 and 22/99 is converted to a decimal, what is the 3000th digit to the right of the decimal place?
Options: ['A)2', 'B)3', 'C)5', 'D)8', 'E)9']
Answer: 1/3 +22/99 = 5/9=0.555555555...
hence, the 3000th digit would also be 5
Ans: C<|endoftext|> | aqua_rat |
258 | Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Options: ['A)1/11', 'B)2/13', 'C)4/13', 'D)3/17', 'E)3/19']
Answer: | Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Options: ['A)1/11', 'B)2/13', 'C)4/13', 'D)3/17', 'E)3/19']
Answer: Here, n(S) = 52
There are 13 cards of diamond (including one king) and there are 3 more kings.
Let E = event of get... | aqua_rat |
259 | Question: If x and y are integers such that (x+1)^2 is less than or equal to 16 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Options: ['A) -16', 'B) -10', 'C) 0', 'D) 14', 'E) 16']
Answer: | Question: If x and y are integers such that (x+1)^2 is less than or equal to 16 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Options: ['A) -16', 'B) -10', 'C) 0', 'D) 14', 'E) 16']
Answer: (x+1)^2 <= 16
x <= 3
x >= -5
(y-1)^2< 64
y < 9
y > -7
Max... | aqua_rat |
260 | Question: If points A and B are (10-5) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
Options: ['A)I only', 'B)II only', 'C)III only'... | Question: If points A and B are (10-5) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
Options: ['A)I only', 'B)II only', 'C)III only'... | aqua_rat |
261 | Question: The banker's discount on a sum of money for 1 1/2 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
Options: ['A)10%', 'B)13%', 'C)12%', 'D)15%', 'E)11%']
Answer: | Question: The banker's discount on a sum of money for 1 1/2 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
Options: ['A)10%', 'B)13%', 'C)12%', 'D)15%', 'E)11%']
Answer: B.D. for 3/2 years = Rs. 558.
B.D. for 2 years
= Rs.(558 x 2/3 x 2)
= Rs. 744
T.D. for 2 years = ... | aqua_rat |
262 | Question: If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet?
Options: ['A)90', 'B)100', 'C)110', 'D)120', 'E)130']
Answer: | Question: If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet?
Options: ['A)90', 'B)100', 'C)110', 'D)120', 'E)130']
Answer: The projectiles travel a total of 999 ... | aqua_rat |
263 | Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 35 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Options: ['A)525.', '... | Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 35 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Options: ['A)525.', '... | aqua_rat |
264 | Question: Worker A takes 8 hours to do a job. Worker B takes 6 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Options: ['A)20/9', 'B)40/9', 'C)50/9', 'D)24/7', 'E)80/9']
Answer: | Question: Worker A takes 8 hours to do a job. Worker B takes 6 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Options: ['A)20/9', 'B)40/9', 'C)50/9', 'D)24/7', 'E)80/9']
Answer: one day work of A = 1/8
one day work of B = 1/6
so one day work of A and B tog... | aqua_rat |
265 | Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Options: ['A)Rs. 10000', 'B)Rs. 5896', 'C)Rs. 2580', 'D)Rs. 3697', 'E)Rs. 60000']
Answer: | Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Options: ['A)Rs. 10000', 'B)Rs. 5896', 'C)Rs. 2580', 'D)Rs. 3697', 'E)Rs. 60000']
Answer: Explana... | aqua_rat |
266 | Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 84, what is the value of a?
Options: ['A)25', 'B)30', 'C)28', 'D)32', 'E)42']
Answer: | Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 84, what is the value of a?
Options: ['A)25', 'B)30', 'C)28', 'D)32', 'E)42']
Answer: ((2a+16) + (3a-8)) / 2 = (5a+8)/2 = 84
a= 32
The answer is D.<|endoftext|> | aqua_rat |
267 | Question: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Options: ['A)20*(sqr2 -1)', 'B)8*(sqr3 -1)', 'C)4*(sqr7 - 1)', 'D)12* (sqr7 -1)', 'E)None of these']
Answer: | Question: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Options: ['A)20*(sqr2 -1)', 'B)8*(sqr3 -1)', 'C)4*(sqr7 - 1)', 'D)12* (sqr7 -1)', 'E)None of these']
Answer: I got 20/(sqr2 +1) and just forgot to multiply by (sqr2 -1).
Answer A<|endo... | aqua_rat |
268 | Question: If k^3 is divisible by 120, what is the least possible value of integer k?
Options: ['A)12', 'B)30', 'C)60', 'D)90', 'E)120']
Answer: | Question: If k^3 is divisible by 120, what is the least possible value of integer k?
Options: ['A)12', 'B)30', 'C)60', 'D)90', 'E)120']
Answer: 120 = 2^3*3*5
Therefore k must include at least 2 * 3 * 5 = 30.
The answer is B.<|endoftext|> | aqua_rat |
269 | Question: x is the product of each integer from 1 to 25, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
Options: ['A)5', 'B)4', 'C)3', 'D)6', 'E)7']
Answer: | Question: x is the product of each integer from 1 to 25, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
Options: ['A)5', 'B)4', 'C)3', 'D)6', 'E)7']
Answer: The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative int... | aqua_rat |
270 | Question: If n is a positive integer, which of the following expressions must be even?
Options: ['A)(n − 1)( n + 1)', 'B)(n − 4)( n + 1)', 'C)(n − 2)( n + 6)', 'D)(n − 5)( n + 1)', 'E)(n − 3)( n + 3)']
Answer: | Question: If n is a positive integer, which of the following expressions must be even?
Options: ['A)(n − 1)( n + 1)', 'B)(n − 4)( n + 1)', 'C)(n − 2)( n + 6)', 'D)(n − 5)( n + 1)', 'E)(n − 3)( n + 3)']
Answer: Whether n is even or odd, (n-4)(n+1) will have one odd factor and one even factor.
The product will be even.
T... | aqua_rat |
271 | Question: 30 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 3:4?
Options: ['A)8', 'B)10', 'C)12', 'D)14', 'E)16']
Answer: | Question: 30 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 3:4?
Options: ['A)8', 'B)10', 'C)12', 'D)14', 'E)16']
Answer: Let x be the amount of liquid Q to be added.
(2/5)*30 + x = (4/7)*(30+x)
420 + 35x = 600 + 20x
15x = 180... | aqua_rat |
272 | Question: The speed at which a man can row a boat in still water is 21 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 90 metres?
Options: ['A)23.46', 'B)27.46', 'C)28.46', 'D)12.46', 'E)25.46']
Answer: | Question: The speed at which a man can row a boat in still water is 21 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 90 metres?
Options: ['A)23.46', 'B)27.46', 'C)28.46', 'D)12.46', 'E)25.46']
Answer: Speed of the boat downstream = 21 + 5 = 26 kmph
= 26 * 5/18 = 7.22... | aqua_rat |
273 | Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.28 at the candy store. What is John’s weekly allowance?
Options: ['A)$2.40', 'B)$3.00', 'C)$3.20', 'D)$3.60', 'E)$4.80']
... | Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.28 at the candy store. What is John’s weekly allowance?
Options: ['A)$2.40', 'B)$3.00', 'C)$3.20', 'D)$3.60', 'E)$4.80']
... | aqua_rat |
274 | Question: The simple interest at z% for z years will be $z on a sum of
Options: ['A)$ (1000)/z', 'B)$(100)z^2', 'C)$ z', 'D)$ (100)/z', 'E)$ 100z']
Answer: | Question: The simple interest at z% for z years will be $z on a sum of
Options: ['A)$ (1000)/z', 'B)$(100)z^2', 'C)$ z', 'D)$ (100)/z', 'E)$ 100z']
Answer: Principal =$(100*z)/(z*z)=$(100/z).
Answer is D<|endoftext|> | aqua_rat |
275 | Question: The ratio of two quantities is 3 to 5. If each of the quantities is increased by 6, what is the ratio of these two new quantities?
Options: ['A)It cannot be determined from the information given.', 'B)5/9', 'C)12/13', 'D)15/14', 'E)16/14']
Answer: | Question: The ratio of two quantities is 3 to 5. If each of the quantities is increased by 6, what is the ratio of these two new quantities?
Options: ['A)It cannot be determined from the information given.', 'B)5/9', 'C)12/13', 'D)15/14', 'E)16/14']
Answer: let the actual ratio be 3k/5k, increase numerator and denomina... | aqua_rat |
276 | Question: A box contains 4 red chips and 4 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Options: ['A)1/2', 'B)4/7', 'C)7/12', 'D)2/3', 'E)7/10']
Answer: | Question: A box contains 4 red chips and 4 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Options: ['A)1/2', 'B)4/7', 'C)7/12', 'D)2/3', 'E)7/10']
Answer: Total selection ways: 8C2=8!/4!4!=28
Selecting one blue chip out of two: 4C1=4!/1!... | aqua_rat |
277 | Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.2?
Options: ['A)12.6.', 'B)14.4.', 'C)15.8.', 'D)16.2.', 'E)16.4.']
Answer: | Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.2?
Options: ['A)12.6.', 'B)14.4.', 'C)15.8.', 'D)16.2.', 'E)16.4.']
Answer: [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.2
= 6*0 + 2*7.2 + 8 - 6.2
= 0 +14.4 +1.8
16.... | aqua_rat |
278 | Question: the price of a commodity(in rupees per kilogram) is 100+0.1n, on the nthvday of 2007(n=1,2,,,,,100), and then remains constant. On the other hand, the price of another commodity is 89+0.15n on the nth day of 2007(n=1,2,,,,,,365). On which date in 2007, will the price of these twocommodities be equal????
Optio... | Question: the price of a commodity(in rupees per kilogram) is 100+0.1n, on the nthvday of 2007(n=1,2,,,,,100), and then remains constant. On the other hand, the price of another commodity is 89+0.15n on the nth day of 2007(n=1,2,,,,,,365). On which date in 2007, will the price of these twocommodities be equal????
Optio... | aqua_rat |
279 | Question: At 3.40, the hour hand and the minute hand of a clock form an angle of
Options: ['A)120°', 'B)125°', 'C)130°', 'D)135°', 'E)None']
Answer: | Question: At 3.40, the hour hand and the minute hand of a clock form an angle of
Options: ['A)120°', 'B)125°', 'C)130°', 'D)135°', 'E)None']
Answer: Solution
Angle traced by hour hand in 17/2 hrs = (360/12x17/2 )°
= 255.
Angle traced by min hand in 30 min = (360/60x30)°
= 180.
Required angle = (255 - 180)°
=75°
Answer ... | aqua_rat |
280 | Question: The average age of 15 students of a class is 14 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Options: ['A)3years', 'B)4years', 'C)5years', 'D)6years', 'E)7years']
Answer: | Question: The average age of 15 students of a class is 14 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Options: ['A)3years', 'B)4years', 'C)5years', 'D)6years', 'E)7years']
Answer: Age of the 15th student
=[15 * 14 - (14 * 5... | aqua_rat |
281 | Question: A train is 320 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Options: ['A)11 seconds', 'B)38 seconds', 'C)40 seconds', 'D)88 seconds', 'E)36.8 seconds']
Answer: | Question: A train is 320 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Options: ['A)11 seconds', 'B)38 seconds', 'C)40 seconds', 'D)88 seconds', 'E)36.8 seconds']
Answer: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 320+140 = 460 meter
Time =... | aqua_rat |
282 | Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Options: ['A)11 years', 'B)16 years', 'C)33 years', 'D)14 years', 'E)18 years']
Answer: | Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Options: ['A)11 years', 'B)16 years', 'C)33 years', 'D)14 years', 'E)18 years']
Answer: Age of the 15th student
=[15 * 15... | aqua_rat |
283 | Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Options: ['A)3 : 1', 'B)1 : 3', 'C)1 : 2', 'D)2 : 1', 'E)None of these']
Answer: | Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Options: ['A)3 : 1', 'B)1 : 3', 'C)1 : 2', 'D)2 : 1', 'E)None of these']
Answer: Explanation :
Let speed upstream = x
Then,... | aqua_rat |
284 | Question: Two numbers are in the ratio of 1 : 2. If 6 be added to both, their ratio changes to 3 : 5. The greater number is
Options: ['A)20', 'B)24', 'C)28', 'D)32', 'E)36']
Answer: | Question: Two numbers are in the ratio of 1 : 2. If 6 be added to both, their ratio changes to 3 : 5. The greater number is
Options: ['A)20', 'B)24', 'C)28', 'D)32', 'E)36']
Answer: Let the ratio be X : Y,
Given X/Y = 1/2 ,
(X + 6)/(Y + 6) = 3/5
=> X = 12
And Y = 24
ANSWER:B<|endoftext|> | aqua_rat |
285 | Question: On flipping 3 coins together what is the outcomes for at least two tail?
Options: ['A)1/7', 'B)3/8', 'C)3/11', 'D)4/13', 'E)5/13']
Answer: | Question: On flipping 3 coins together what is the outcomes for at least two tail?
Options: ['A)1/7', 'B)3/8', 'C)3/11', 'D)4/13', 'E)5/13']
Answer: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Favorable outcomes for at least two heads
= favorable outcomes for exactly two heads and favorable outcomes for ... | aqua_rat |
286 | Question: If x is 20 percent more than y and y is 60 percent less than z, then x is what percent of z?
Options: ['A)500%', 'B)48%', 'C)500/3%', 'D)125%', 'E)60%']
Answer: | Question: If x is 20 percent more than y and y is 60 percent less than z, then x is what percent of z?
Options: ['A)500%', 'B)48%', 'C)500/3%', 'D)125%', 'E)60%']
Answer: Z = 100 ; Y = 40 so X = 48
X as % of Z = 48/100 * 100 => 48%
Answer will be (B)<|endoftext|> | aqua_rat |
287 | Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Options: ['A)500', 'B)277', 'C)222', 'D)297', 'E)111']
Answer: | Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Options: ['A)500', 'B)277', 'C)222', 'D)297', 'E)111']
Answer: Explanation:
110% of S.P. = 616
S.P. = (616 * 100)/110 = Rs. 560
C.P ... | aqua_rat |
288 | Question: A ladder 18 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 6 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
Options: ['A)12.5', 'B)15', 'C)18', 'D)19', 'E)25']
Answer: | Question: A ladder 18 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 6 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
Options: ['A)12.5', 'B)15', 'C)18', 'D)19', 'E)25']
Answer: 18^2-6^... | aqua_rat |
289 | Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 8, 8, 7, 9, 9, 6, 7, 8 and 7. By what percent did she fall short of her goal?
Options: ['A) 4%', 'B) 5%', 'C) 8%', 'D) 10%', 'E) 12%']
Answer: | Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 8, 8, 7, 9, 9, 6, 7, 8 and 7. By what percent did she fall short of her goal?
Options: ['A) 4%', 'B) 5%', 'C) 8%', 'D) 10%', 'E) 12%']
Answer: Expected minimum rating ... | aqua_rat |
290 | Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person ?
Options: ['A)75 kg', 'B)95 kg', 'C)45 kg', 'D)85 kg', 'E)25 kg']
Answer: | Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person ?
Options: ['A)75 kg', 'B)95 kg', 'C)45 kg', 'D)85 kg', 'E)25 kg']
Answer: Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new per... | aqua_rat |
291 | Question: The value of x is to be randomly selected from the integers from 1 to 11, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Options: ['A)5/11', 'B)4/11', 'C)3/11', 'D)2/11', 'E)1/11']
Answer: | Question: The value of x is to be randomly selected from the integers from 1 to 11, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Options: ['A)5/11', 'B)4/11', 'C)3/11', 'D)2/11', 'E)1/11']
Answer: y will only be negative for x=2.
(We c... | aqua_rat |
292 | Question: A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Options: ['A)287m', 'B)278m', 'C)400m', 'D)228m', 'E)282m']
Answer: | Question: A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Options: ['A)287m', 'B)278m', 'C)400m', 'D)228m', 'E)282m']
Answer: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 42
= ... | aqua_rat |
293 | Question: Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temperature of the particular day is 35°C , it is equal to
Options: ['A)40', 'B)80', 'C)95', 'D)100', 'E)120']
Answer: | Question: Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temperature of the particular day is 35°C , it is equal to
Options: ['A)40', 'B)80', 'C)95', 'D)100', 'E)120']
Answer: Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively.
Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0), i... | aqua_rat |
294 | Question: One night 40 percent of the female officers on a police force were on duty. If 240 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Options: ['A)90', 'B)300', 'C)270', 'D)500', 'E)1,000']
Answer: | Question: One night 40 percent of the female officers on a police force were on duty. If 240 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Options: ['A)90', 'B)300', 'C)270', 'D)500', 'E)1,000']
Answer: Let total number of female officers in ... | aqua_rat |
295 | Question: If 4/a + 5/a + 6/a is an integer, which of the following must also be an integer?
Options: ['A)12/a', 'B)3/a', 'C)6/a', 'D)9/a', 'E)15/a']
Answer: | Question: If 4/a + 5/a + 6/a is an integer, which of the following must also be an integer?
Options: ['A)12/a', 'B)3/a', 'C)6/a', 'D)9/a', 'E)15/a']
Answer: 4/a + 5/a + 6/a
=15/a
Answer E<|endoftext|> | aqua_rat |
296 | Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Options: ['A)70%', 'B)20%', 'C)60%', 'D)10%', 'E)80%']
Answer: | Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Options: ['A)70%', 'B)20%', 'C)60%', 'D)10%', 'E)80%']
Answer: Explanation:
900 ---- 180
100 ---- ? => 20%
Answer: B<|endoftext|> | aqua_rat |
297 | Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Options: ['A)48', 'B)12', 'C)75', 'D)28', 'E)91']
Answer: | Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Options: ['A)48', 'B)12', 'C)75', 'D)28', 'E)91']
Answer: Let the marks obtained by the student in Physics, ... | aqua_rat |
298 | Question: If m and n are positive integers, and m=2n and k=9m, then -
Options: ['A)k is a factor of m.', 'B)2m is a factor of k.', 'C)3m is a factor of k/2.', 'D)m/2 is a factor of k.', 'E)k is a factor of m/2.']
Answer: | Question: If m and n are positive integers, and m=2n and k=9m, then -
Options: ['A)k is a factor of m.', 'B)2m is a factor of k.', 'C)3m is a factor of k/2.', 'D)m/2 is a factor of k.', 'E)k is a factor of m/2.']
Answer: m=2n --> m is even.
k=9m --> m is factor of k, thus m/2 = integer must also be a factor of k.
Answe... | aqua_rat |
299 | Question: The average age of 40 students is 8 years. If the age of teacher is also included , then their average age increases by half a year. What is the age of the teacher?
Options: ['A)45 years', 'B)48.5 years', 'C)28.5 years', 'D)26.5 years', 'E)27.5 years']
Answer: | Question: The average age of 40 students is 8 years. If the age of teacher is also included , then their average age increases by half a year. What is the age of the teacher?
Options: ['A)45 years', 'B)48.5 years', 'C)28.5 years', 'D)26.5 years', 'E)27.5 years']
Answer: Total age of 40 students = 40*8 = 320
Let the age... | aqua_rat |
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