antoine-444/aqua_rat_dataset huggingface dataset:
Question: A vendor bought 6 toffees for a rupee.How many for a rupee he must sell to gain 20%.
Choices:
4
5
6
7
Answer: B
Question: A roofing crew can roof the house in 10 hours. Another crew can roof the house in 15 hours. How many hours will it take for both of them working together to roof the house?
Choices:
6
8
4
9
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: The marked price of a radio is Rs 1,600. Rahul gives successive discount of 10%, r% to the Pradeep. If Pradeep pays Rs 1.224 for the radio, find the value of r.
Choices:
20%
25%
15%
30%
Answer: C
Question: On my sister's birthday, she was 132 cm in height, having grown 10% since the year before. How tall was she the previous year?
Choices:
126 cm
120 cm
116 cm
112 cm
Answer: B
Question: How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions?
Choices:
125
348
576
None
Answer: C
Question: If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions Q represents the final price of the item?
Choices:
Q=(10,000z + 100z(x – y) – xyz)/10,000
Q=(100z(x – y) – xyz)/10000
(100z(y – x) – xyz)/10000
10000 /(x – y)
Answer: A
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/5
5/4
5/6
5/1
Answer: C
Question: If a lies in the range (-3,2) then which of the following statements must be true?
Choices:
a > a^2 > a^3 > a^4
a^4 > a^2 > a^3 >a
a^2 > a^4 > a^3 >a
a^2 > a^4 > a > a^3
Answer: C
Question: In a group of 2 boys and 8 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
Choices:
140
160
180
200
Answer: A
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
Choices:
60,86
60,89
60,84
60,81
Answer: C
Question: If 6 different numbers are to be selected from integers 0 to 6, how many 6-digit even integers greater than 300,000 can be composed?
Choices:
1180
1280
1480
1680
Answer: D
Question: If a - b = 3 and a(power 2) + b(power 2) = 29, find the value of ab.
Choices:
8
4
10
3
Answer: C
Question: A warehouse is labeling computer inventory with 3-digit codes. Each code is to consist of four digits between the numbers 0 and 9. The manager is debating whether to allow any 3-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used.
The manager wants to measure the magnitude of the number of 3-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost?
Choices:
1000
1011
1101
100
Answer: D
Question: A man has Rs. 512 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
38
37
90
96
Answer: D
Question: A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 85 on the S scale?
Choices:
39
43
45
47
Answer: A
Question: Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $60, what was the final price of the sweater?
Choices:
$31.5
$15.75
$ 45.75
$17.75
Answer: A
Question: The product of two successive numbers is 1122. Which is the smaller of the two numbers?
Choices:
36
33
38
31
Answer: B
Question: How many integers between 1 and 1,800 are divisible by 20,30,40?
Choices:
15
16
17
18
Answer: A
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through F and the letters E and A must be among the letters selected?
Choices:
24
32
36
40
Answer: A
Question: At the end of a business conference the 8 people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
28
55
90
95
Answer: A
Question: A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is :
Choices:
2.5 km/hr
5 km/hr
10.5 km/hr
None of these
Answer: A
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Choices:
756
600
500
450
Answer: A
Question: If f(x)=1/x and x is a natural number, what CANNOT be the answer for f(f(x))?
Choices:
1/7
12/3
6/6
1
Answer: A
Question: A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
Choices:
10% Loss
20% Loss
30% Loss
40% Loss
Answer: A
Question: There are 9 magazines lying on a table; 4 are fashion magazines and the other 5 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
Choices:
2/3
32/35
20/21
13/14
Answer: C
Question: The sum of money will be double itself in 30years and simple interest find rate of interest?
Choices:
B)3.33%
C)4.33%
D)5.33%
E)6.33%
Answer: A
Question: The difference between a two-digit number and number obtained by interchanging the two digits is 63. What is the difference between the two digits of that number?
Choices:
70
92
8
7
Answer: D
Question: The total of company C's assets in 1994 was 700% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
18N
29N
32N
40N
Answer: D
Question: Ten years ago, the ratio of ages of P and Q was 3:2. Ten years from now, the ratio of their ages will be 7:6. What is P's age at present?
Choices:
20
21
24
25
Answer: D
Question: A security company can use number 1 -7 to create a 5 digit lock combo. No numbers can be repeated and the first and last digit must be odd. How many unique lock combos can be created?
Choices:
120
180
240
300
Answer: A
Question: A student committee on academic integrity has 56 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Choices:
8
9
10
11
Answer: A
Question: Four milkmen rented a pasture, A grazed 18 cows for 4 months; B 25 cows for 2 months, C 28 cows for 5 months and D 21 cows for 3 months. If A's share of rent is Rs.360, the total rent of the field is :
Choices:
Rs.1600
Rs.1625
Rs.1650
None
Answer: B
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $15. If the price per share of stock K was $16 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Choices:
5.9%
11.1%
6.67%
23.6%
Answer: C
Question: When x is divided by 6, the quotient is y and the remainder is 1. When x is divided by 6, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?
Choices:
(7z + 5) / 6
(6z + 5) / 6
(7z + 5) / 4
(4z + 6) / 7
Answer: B
Question: 892.7 – 573.07 – 95.007 = ?
Choices:
224.623
233.523
414.637
None of these
Answer: A
Question: What is the greatest positive integer x such that 3^x is a factor of 9^10?
Choices:
9
10
20
30
Answer: C
Question: How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
3 years
9 years
5 years
Answer: A
Question: Two numbers are in the ratio of 2:3. If 20 be subtracted from each, they are in the ratio of 10:17. Find the numbers?
Choices:
70,105
80,120
60,84
60,81
Answer: A
Question: Find large number from below question The difference of two numbers is 1355. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1678
1767
1623
Answer: D
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ?
Choices:
8.76 kms
5.76 kms
3.76 kms
4.76 kms
Answer: B
Question: What least number must be subtracted from 652543 so that remaining no.is divisible by 12
Choices:
5
7
8
9
Answer: B
Question: A, B and C have Rs.250 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
A)300
C)280
D)270
E)66
Answer: A
Question: Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 9^5?
Choices:
8
10
15
19
Answer: B
Question: Divide Rs. 1300 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
368
375
337
325
Answer: D
Question: In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, F, and/or G such that at least one letter is repeated within the password?
Choices:
864
900
936
1561
Answer: D
Question: 1, 0.5, 0.5, 0.75, 1.5, ____
Choices:
5.75
3.25
3.75
none
Answer: C
Question: In a class, the average age of 25 boys is 12 years and the average of 18 girls is 8 years. what is the average age of the whole class?
Choices:
10.3 Years
12.6 Years
13 Years
15 Years
Answer: A
Question: A bag contains nine black balls, three red balls and four red balls. In how many ways can two balls be drawn from the bag?
Choices:
¹⁶C₂
³C₂
¹²C₂
¹⁴C₂
Answer: A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40
77
66
12
Answer: A
Question: The ratio between the number of sheep and the number of horses at the Stewart farm is 3 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Choices:
24
32
56
60
Answer: A
Question: Of the teams competing in the world archery championships, Sxity percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
15/20
3/15
1/20
13/17
Answer: C
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ?
Choices:
6 hrs 28 min
2 hrs 28 min
6 hrs 28 min
1 hrs 28 min
Answer: C
Question: Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 12 machines produce in 6 minutes?
Choices:
3360
8400
5040
67200
Answer: C
Question: In a rectangular axis system, what is the area of a parallelogram with the coordinates: (1,3), (5,3), (2,6), (6,6) ?
Choices:
12.
35.
49.
52.
Answer: A
Question: John Purchased 1365 large bottles at $1.89 per bottle and 720 small bottles at $1.42 per bottle. What was the approximate average price paid per bottle?
Choices:
$1.64
$1.68
$1.73
$1.76
Answer: C
Question: One week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 16 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Choices:
16
12
14
8
Answer: D
Question: Find the average of first 18 natural numbers.
Choices:
9.5
171
18
5.9
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
27
70
27
20
Answer: B
Question: Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings?
Choices:
8:9
8:3
8:7
8:1
Answer: C
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 25%. What is the selling price of the cycle?
Choices:
s. 1160
s. 1190
s. 1202
s. 1050
Answer: D
Question: A set of books costs the merchant $500. At what price would the merchant be sold the set of books if he got loss of 5% ?
Choices:
$475
$485
$495
None of these
Answer: A
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Choices:
1365
1406
1879
2000
Answer: A
Question: A train running at the speed of 180 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
286 meter
186 meter
288 meter
450 meter
Answer: D
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What isthe probability that theextracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initially in the bag were equally possible ?
Choices:
5/8
3/5
4/7
5/8
Answer: A
Question: A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
Choices:
18 days
30 days
36 days
35 days
Answer: A
Question: A man in a train travelling at 25km/hr notices that a train going in the opposite direction passes him in 7 sec.If the length of this train is 180m find its speed .
Choices:
40 km/hr
50 km/hr
68 km/hr
70 km/hr
Answer: C
Question: 7 persons a, b, c, d, e, f and g are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
Choices:
36
480
720
2880
Answer: C
Question: A student is mixing oil and water as part of an experiment. The student's mixture has a 5:3 oil to water ratio. If the student used 12 more units of oil than water, how many units of water were used?
Choices:
18
19
22
24
Answer: A
Question: The number of the members of a club is more than 20 and less than 50. When 4 people sit at a table, other people exactly divided to 6-people groups (6 people sit at a table) or 7-people groups (7 people sit at a table). If the members are divided to 8-people groups, how many people will be left?
Choices:
4
5
6
7
Answer: C
Question: If the sum of two numbers is 18 and the sum of their squares is 180, then the product of the numbers is
Choices:
72
80
88
48
Answer: A
Question: A man can swim in still water at 12 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
4
3
2
8
Answer: A
Question: In a container of vegetables there are 25% potatoes, 40% onions and the rest are tomatoes. If there are 200 kgs vegetables in the container, how many tomatoes are there in the container?
Choices:
70 kg
110 kg
85 kg
65 kg
Answer: A
Question: The cost of 8 gel pens and 12 ball pens is Rs.82. What would be the cost of 36 gel pens and 54 ball pens?
Choices:
Rs.365
Rs.369
Rs.364
None of these
Answer: B
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
3/28
3/11
3/19
3/29
Answer: B
Question: A 280 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
220 m
260 m
320 m
330 m
Answer: A
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choices:
36 km/hr
71.11 km/hr
71 km/hr
81 km/hr
Answer: B
Question: A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
3 hrs 48 min
3 hrs 35 min
2 hrs 45 min
Answer: A
Question: When average age of 23 members are 0, how many members greater than 0?
Choices:
22
21
24
25
Answer: A
Question: If 2*f(x) - f(1/x) = x2x2 , then f(x) is?
Choices:
f(x) = 3{2*x2x2 + (1x)2(1x)2 }
f(x) = 3{2*x2x2 + (1x)2(1x)3 }
f(x) = 3{2*x2x2 + (1x)2(1x)4 }
f(x) = 3{2*x2x2 + (1x)2(1x)1 }
Answer: A
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Choices:
23 years
67 years
16 years
19 years
Answer: A
Question: City A to city B, John drove for 1 hour at 40 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
58.2
59
55
Answer: D
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24 kmph
50 kmph
35 kmph
30 kmph
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choices:
12.5%
13.15%
14%
15%
Answer: A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81 : 121
81 : 191
81 : 161
81 : 182
Answer: A
Question: In a certain warehouse, 30 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
Choices:
64
24
102
144
Answer: B
Question: A man can hit a target once in 9 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Choices:
81/13
81/3
5/8
91/3
Answer: C
Question: A merchant purchased a jacket for $30 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$2
$4
$12
$15
Answer: A
Question: If 20 men can build a water fountain 56 metres long in 14 days, what length of a similar water fountain can be built by 35 men in 3 days?
Choices:
21 m
27 m
29 m
30 m
Answer: A
Question: A person travels equal distances with speeds of 8 km/hr, 9 km/hr and 10 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
3 km
7 km
5 km
2 km
Answer: B
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 9/11%
18 2/41%
2 2/11%
Answer: A
Question: A man put diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per ltr for three successive years. What approximately is the average cost per ltr of diesel if he spends Rs. 4000 each year?
Choices:
Rs. 7.98
Rs. 8.98
Rs. 9.23
Rs. 9.86
Answer: A
Question: The perimeter of a rectangle is 44. The length is 5 less than double the width.
Find the dimensions
Choices:
7 by 11
8 by 12
9 by 13
10 by 14
Answer: C
Question: If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer a?
Choices:
(2a-1)/(a^2- a)
a^3 (a-1)
2a-1
3a-1
Answer: A
Question: If R is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then R/13 is =
Choices:
21840
1680
840
240
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 8:30
Choices:
40 deg
35 deg
75 deg
60 deg
Answer: C
Question: On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,3.5). The point on line segment CD that is twice as far from C as from D is:
Choices:
(1,1)
(2,0.25)
(3,0.5)
(3,1)
Answer: C
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 72 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
Choices:
0152
3581
5184
9126
Answer: C
Question: A certain bacteria colony doubles in size every day for 19 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5
10
18
19
Answer: C
Question: If the positive integer x is a multiple of 5/2 and the positive integer y is a multiple of 2, then xy must be a multiple of which of the following?
I. 1
II. 12
III. 5
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: B
Question: There are 30 people in anime club. 5 of the people voted to watch Case Closed that day. 10 people voted to watch Skip Beat. 3 people voted to watch My Hero Academia Academia. How many people did not vote if no one voted twice?
Choices:
10
11
12
16
Answer: C
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
279
800
277
771
Answer: B
Question: Sum of three numbers 274, If the first number be twice then second and third number be one third of the first, then the second number is
Choices:
B)71
C)75
D)73
E)74
Answer: B
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4
3
2
1
Answer: A
Question: If (x/y)=(11/5), find the value (x^2+y^2)/(x^2-y^2)
Choices:
73/48
51/77
41/11
None of them
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
22 cm
84.92 cm
94.94 cm
23.57 cm
Answer: A
Question: A bus covers a distance of 12 km in 5 min. If it takes 5 sec to pass a telegraph post, then the length of the bus is?
Choices:
180m
240m
200m
280m
Answer: C
Question: One of the two buses completes a journey of 300 miles in 7 1/2 hours and the other journey of 450 miles in 10 hours. the ratio of their average speed is
Choices:
4:5
3:4
8:9
5:6
Answer: C
Question: What number comes next?
482, 693, 714, 826, 937, ?
Choices:
231
245
148
123
Answer: C
Question: A seller uses 500gm in place of 1kg to sell his goods. Find his actual % profit or loss, when he sells his article on 10% gain on cost price?
Choices:
37.5%
35%
40%
75%
Answer: D
Question: In a shower, 6 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choices:
900 cu. m
750 cu. m
9000 cu. m
7.50 cu. m
Answer: A
Question: The forth proportional to 24,8,15 is?
Choices:
5
18
20
24
Answer: A
Question: Two trains of length 220 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
266
990
25
11
Answer: C
Question: The area of a rectangular plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
Choices:
20 M
18 M
12 M
15 M
Answer: A
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 4.5), (8, 0), (0, -4.5), (-8, 0)?
Choices:
72
112
116
120
Answer: A
Question: If 40 people get the chance to pick a card from a canister that contains 5 free passes to an amusement park mixed in with 35 blank cards what is the probability that the 40th person who picks will win?
Choices:
36/175
38/175
39/175
40/175
Answer: A
Question: If a randomly selected non-negative single digit integer is added to {2, 3, 4, 9}. What is the probability that the median of the set will increase but the range still remains the same?
Choices:
0.3
0.4
0.5
0.6
Answer: D
Question: A man buys a cycle for Rs. 1200 and sells it at a loss of 10%. What is the selling price of the cycle?
Choices:
s. 1080
s. 1090
s. 1202
s. 1092
Answer: A
Question: If k and w are the dimensions of a rectangle that has area 20 and if k and w are integers such that k > w, what is the total number of possible values of k?
Choices:
Three
Four
Five
Six
Answer: A
Question: A man complete a journey in 40 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 30 km/hr. Find the total journey in km.
Choices:
960 km
230 km
232 km
234 km
Answer: A
Question: Evaluate:56- 12*3*2 =?
Choices:
48
62
72
82
Answer: A
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 290 m long?
Choices:
35 sec
44 sec
40 sec
52 sec
Answer: D
Question: Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Choices:
Rs 824.32
Rs 825
Rs 723
Rs 624.32
Answer: A
Question: A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 1 day, B can complete the job in 2 days and C can complete the job in 5 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Choices:
4/3 days
10/17 days
12days
14 days
Answer: B
Question: The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for xequal to:
Choices:
0.2
0.04
0.4
None
Answer: B
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?
Choices:
9 meters
8 meters
5 meters
3 meters
Answer: D
Question: Two sets A and B consists only of positive integers such that mean of set A is 60 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
Choices:
[B] 60
[C] 70
[D] 55
[E] cannot be determined
Answer: D
Question: What is the least integer that is a sum of four different prime numbers each greater than 40?
Choices:
180
182
184
186
Answer: C
Question: A theater box office sold an average (arithmetic mean) of 68 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Choices:
2:3
5:6
7:11
3:7
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length
Choices:
12.1
13
14
15
Answer: A
Question: The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 5600 for a computer table, then what was the cost price of the computer table?
Choices:
Rs. 4480
Rs. 6275
Rs. 6725
None of these
Answer: A
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 10 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Choices:
36
34 2/7
34 5/7
42 6/7
Answer: D
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.78
Rs.44
Rs.40
Rs.55
Answer: B
Question: When d is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when d + y is divided by 5?
Choices:
1
2
3
4
Answer: B
Question: (1.2)(power 3) - (0.9)(power 3)/ (1.2)(power 2) + 1.08+ (0.9)(power 2) is:
Choices:
0.6
0.8
0.3
None of them
Answer: C
Question: The mean of (54,823)^2 and (54,825)^2 =
Choices:
(54,821.5)^2
(54,820.5)^2
(54,824)^2 + 1
(54,821)^2 – 1
Answer: C
Question: The product of the prime integers between 23 and 30, inclusive, is:
Choices:
99,029
2,303
2,021
667
Answer: D
Question: Find the total no of divisors of 1728 (including 1 and 1728)
Choices:
28
99
27
18
Answer: A
Question: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (4, 0), (6, 3), and (6, -3)?
Choices:
7
6.5
6
5.5
Answer: C
Question: How many numbers are divisible by 4 between 1 and 100?
Choices:
24
23
22
20
Answer: A
Question: The function f is defined for each positive three-digit integer n by f(n)=2x3y5zf(n)=2x3y5z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9f(v), them m-v=?
Choices:
9
18
20
80
Answer: C
Question: How many different possible arrangements Z can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Choices:
720
900
1800
5040
Answer: B
Question: How many ways can 3 friends be arranged around a circular dinner table?
Choices:
B)2
C)96
D)120
E)720
Answer: A
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.35 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.40 In what ratio should he mix the water and milk?
Choices:
1:20
1:8
1:4
6:11
Answer: A
Question: If x and y are positive integers, and x^3*y^4 = 16,000 which of the following is the value of xy?
Choices:
12
15
16
20
Answer: D
Question: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Choices:
150,219
150,200
150,298
150,217
Answer: B
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choices:
1:6
1:9
1:3
1:4
Answer: B
Question: The greatest possible length which can be used to measure exactly the length 8m ,2m 15cm, 8m 90 cm is?
Choices:
101cm
56cm
42cm
5cm
Answer: D
Question: The probability that B can shoot a target two out of two times is 0.45. What is the probability that the target will be missed by B immediately after such two shots?
Choices:
0.5
0.55
0.4
0.8
Answer: B
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 3 days, then the fraction of the work that is left is
Choices:
7/15
3/15
8/15
13/20
Answer: D
Question: A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/4 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choices:
1/3*(x - 3000) = x
x + 3000 = 1/3*x
x - 7000 = 1/3*x
x - 3000 = 1/4*x
Answer: D
Question: The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers
Choices:
10
16
17
20
Answer: C
Question: If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new number is :
Choices:
40
70
90
80
Answer: A
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
268
198
176
Answer: A
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts Q needed to confirm that each of the 5 keys matches each of the 5 locks?
Choices:
4,15
5,10
4,10
5,20
Answer: C
Question: In a class if 1 is absent the rest of them can be divided into 6 equal groups and if two are absent can be divided into 7 equal groups. Find the minimum number of students in the class
Choices:
36
37
38
39
Answer: B
Question: In one hour a boat goes 18 km long the stream and 14 km against the stream.The speed of the boat in still water is?
Choices:
18
16
15
11
Answer: B
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
Choices:
33.4
33.3
33.1
33.7
Answer: B
Question: If a·b·c·d=270, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?
Choices:
7
11
13
15
Answer: A
Question: Seven unbiased coin are tossed. What is the probability of getting almost
one head?
Choices:
1/4
127/128
127/5
127/6
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4
11 8/4
11 9/4
11 3/4
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444 km
450 km
500 km
550 km
Answer: A
Question: If q and r are even integers, which of the following is an odd integer?
Choices:
q(r − 1)
q(q + 5)
3q + 4r
(q + 3)(r − 1)
Answer: D
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4
5
67
9
Answer: A
Question: A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
2 hr 30 min
2 hr 50 min
2 hr 20 min
1 hr 30 min
Answer: A
Question: Jony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:40. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Jony's speed in meters per minute?
Choices:
100
198
216
252
Answer: A
Question: Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 19,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Choices:
1.25 million
10 million
12.6 million
125 million
Answer: C
Question: A train covers a certain distance at a speed of 300kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Choices:
600km/hr
800km/hr
900km/hr
1000km/hr
Answer: A
Question: The average of twelve numbers is 7. The average of first nine numbers is 6 and the average of last two numbers is 10. What is the middle number?
Choices:
B)10
C)12
D)7
E)13
Answer: A
Question: If 37 /2% of a number is 900,then 62 1/2% of the number is ?
Choices:
1350
1500
540
None
Answer: B
Question: P is the brother of Q and R. S is R's mother. T is P's father. Which of the following statements cannot be definitely true ?
Choices:
Q is L's son
Q is S's son
Q is T's son
I is T's son
Answer: C
Question: If Bella's income is Rs 27000, calculate her savings given that her income and expenditure are in the ratio 6:5.?
Choices:
Rs.4500
Rs.7500
Rs.2500
Rs.5500
Answer: A
Question: The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 6 shirts each of them then average number of shirt each of them now has
Choices:
66
62
64
61
Answer: A
Question: How many four-digit odd numbers do not use any digit more than once?
Choices:
2160
2240
2268
2520
Answer: C
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area covered by the two roads?
Choices:
1550
1575
1600
1625
Answer: B
Question: Patrick has a locker with a 3 number combination. The lock contains numbers from 1 thru 30. No number may be used more than once. Patrick is superstitious and never uses numbers that end with an odd number. He also only uses 2 digit numbers. How many possible 3 digit combinations could he use?
Choices:
440
550
880
990
Answer: D
Question: In a certain group of 9 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Choices:
50
74
80
100
Answer: B
Question: 2+9=20
3+4=19
4+3=25
5+2=34
6+1=??
Solve it?
Choices:
37
43
42
19
Answer: A
Question: Of the 80 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Choices:
17
20
25
30
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88 km
3.99 km
3.78 km
3.98 km
Answer: A
Question: 80% of a number is added to 20, the result is the same number. Find the number?
Choices:
288
270
100
281
Answer: C
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many D women are currently in the room?
Choices:
14
15
24
36
Answer: C
Question: If a and b are digits, and the number a99,99b/88 = an integer, what are the values of a and b?
Choices:
a = b = 6
a = b = 3
a = b = 1
a = b = 2
Answer: D
Question: Two cubes of tire sides ratio 2 : 3. Find its cube volumes ratio?
Choices:
3:27
1:27
8:27
5:27
Answer: C
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
250
772
512
211
Answer: A
Question: An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 50 cm, find the sum of the perimeters of all the triangles.
Choices:
220 cm
240 cm
270 cm
300 cm
Answer: D
Question: How many numbers between 11 and 90 are divisible by 7 ?
Choices:
11
22
32
15
Answer: A
Question: How many integer values Y are there for x such that 1 < 3x + 5 < 17?
Choices:
Three
Four
Five
Six
Answer: C
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Choices:
23%
30%
56%
73%
Answer: B
Question: The average of five numbers id 27. If one number is excluded, the average becomes 22. What is the excluded number?
Choices:
40
32.5
35
47
Answer: D
Question: Which of the following points falls outside of the region defined by 2y≤6x−8?
Choices:
(3, -8)
(1, 0)
(2, 0)
(0, -14)
Answer: B
Question: A farmer has enough food to feed her 1000 cows for 50 days. After 10 days some of the cows run away and the food was now enough for the same period of 50 days as before. How many cows ran away?
Choices:
200
500
400
250
Answer: A
Question: Find the L.C.M of 15, 18, 28 and 30.
Choices:
1260
1460
1600
960
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 36 years now, the son's age five years back was:
Choices:
13
20
25
30
Answer: A
Question: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
56
41
36
34
Answer: C
Question: A sum fetched a total simple interest of $4241.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choices:
$2840
$6578
$7782
$8930
Answer: D
Question: 9 3/4 + 8 2/17 - 9 1/15=?
Choices:
9 817/1020
9 719/1020
8 817/1020
None of them
Answer: C
Question: There are 10 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
30
45
60
90
Answer: B
Question: The sum of three consecutive even numbers is 42. Find the middle number of the three?
Choices:
14
88
99
12
Answer: A
Question: The ratio of 5 seconds to 4 hours
Choices:
1:6000
1:3600
1:400
1:500
Answer: B
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 480, then the other is:
Choices:
10
8
15
12
Answer: C
Question: Lake A has a duck population of 36 females and 30 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
Choices:
105
78
51
77
Answer: D
Question: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is?
Choices:
6! * ⁷P₆
8! * ⁷P₆
2! * ⁷P₆
5! * ⁷P₆
Answer: A
Question: The instructions state that Cheryl needs 3/8 square yards of one type of material and 1/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 15/40 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
1/9
2/3
1/3
2 1/9
Answer: C
Question: In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?
Choices:
45 years
50 years
60 years
70 years
Answer: C
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
10 1/4
10 1/3
10 1/2
10
Answer: D
Question: In how many different number of ways 3 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
180
200
5
220
Answer: C
Question: Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 153 per Kg , the price of the third variety per Kg will be?
Choices:
Rs. 785.50
Rs. 175.50
Rs. 258.50
None of these
Answer: B
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?
Choices:
81
55
42
30
Answer: A
Question: A certain quantity of 55% concentration solution is replaced with 25% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
Choices:
1:2
2:3
2:1
3:1
Answer: C
Question: Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
Choices:
26/35
26/39
26/33
26/31
Answer: C
Question: The average of 1st 3 of 4 numbers is 7 and of the last 3 are 5. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
5
3.5
7
8
Answer: B
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 60 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
96
160
192
320
Answer: A
Question: An object thrown directly upward is at a height of h feet after t seconds, where h = -15 (t-3)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
Choices:
90
106
120
136
Answer: A
Question: A Locomo's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Locomo's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Locomo's to travel 850 kilometers?
Choices:
1 hour and 36 minutes.
2 hours and 24 minutes.
2 hours and 36 minutes.
5 hours.
Answer: A
Question: At a monthly meeting, 2/3 of the attendees were males and 3/4 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Choices:
1/4
3/8
2/9
5/18
Answer: C
Question: Four friends, Peter, John, Quincy, and Andrew, are pooling their money to buy a $1200 item. Peter has twice as much money as John. Quincy has $20 more than Peter. Andrew has 15% more than Quincy. If they put all their money together and spend the $1200, they will have $11 left. How much money does Peter have?
Choices:
$320
$200
$410
$325
Answer: A
Question: If log 27 = 1.431, then the value of log 9 is:
Choices:
0.945
0.954
0.958
0.944
Answer: B
Question: Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took biology as an elective, 1/3 of the students took chemistry as an elective, and all of the other students took physics. In this year, 1/3 of the students who took biology and 1/2 of the students who took physics left school; the chemistry students did not leave, and no fresh students came in. What fraction of all students either took biology or physics?
Choices:
4/9
5/9
1/4
2/3
Answer: B
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Dollar 5400 interest only for the period. The principal amount borrowed by him was:
Choices:
$ 13000
$ 14000
$ 15000
$ 19000
Answer: C
Question: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
Choices:
23 1/1%
23 1/3%
23 1/8%
23 1/9%
Answer: B
Question: Find the value of √(25/16).
Choices:
3/4
2/3
1/3
5/4
Answer: D
Question: A can do a work in 8 days. B can do the same work in 16 days. If both A & B are working together in how many days they will finish the work?
Choices:
16/3 days
3/4 days
9/12 days
5/7 days
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 10sec, then the speed of each train is?
Choices:
108
36
25
24
Answer: A
Question: From 6 positive numbers and 6 negative numbers, how many groups S of 4 numbers, yielding a positive product, can be formed?
Choices:
625
30
960
255
Answer: D
Question: Julie drives to her sister’s house and back. She takes the exact same route both ways. On the trip out she drives an average speed of 80 miles per hour. On the trip back she drives an average speed of 40 miles per hour. What is her approximate average speed for the round trip in miles per hour?
Choices:
48.3
53.33
61.7
70
Answer: B
Question: 4 dices are thrown at the same time. What is the probability of getting ONLY 2 dices showing the same face?
Choices:
5/9
11/18
7/9
none of the above
Answer: A
Question: 250 hundred multiples of seven are chosen at random, and 250 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
Choices:
26%
30%
25%
40%
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 27 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444 km
547 km
645 km
576 km
Answer: D
Question: A man sells an article at 5% loss. Had he sold it for Rs.60 more he could have gained 10%. What is the cost price of the article?
Choices:
Rs.400/-
Rs.450/-
Rs.500/-
Rs.550/-
Answer: A
Question: If N is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
Choices:
N is divisible by 8
The average of w, x, y, and z is odd
N is divisible by 4
w + x + 8 = y + z
Answer: A
Question: by combining number of small cubes, a larger cube is produced. the ratio between volume of larger cube and small cube is 1000:8 then how many small cubes are required to produce a larger cube?
Choices:
2
5
125
80
Answer: C
Question: If 6Pr = 360 and If 6Cr = 15, find r ?
Choices:
6
4
3
2
Answer: B