antoine-444/aqua_rat_dataset huggingface dataset:
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 54m & 24m respectively?
Choices:
Rs. 6250
Rs. 6400
Rs. 6480
Rs. 7000
Answer: C
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2970?
Choices:
3000
2200
2766
2998
Answer: A
Question: The public library has exactly 2 floors. It has 1/4 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
Choices:
5/14
5/9
24/29
5/6
Answer: C
Question: The population of a town increased from 1,75,000 to 2,80,000 in a decade. The average percent increase of population per year is
Choices:
5%
6%
8.75%
None
Answer: B
Question: At a certain conference, 150 students spoke one or more of the following languages: Spanish, English, and French. If 41 students spoke Spanish, 90 spoke English, 65 spoke French, and 32 spoke only 2 languages, how many students spoke three different languages?
Choices:
7
12
15
18
Answer: A
Question: If a rectangular room measures 9 meters by 5 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)
Choices:
240,000
18,000,000
24,000,000
240,000,000
Answer: B
Question: What is the product of all the prime factors of 26?
Choices:
25
22
26
21
Answer: C
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 150?
Choices:
75
25
18
12
Answer: A
Question: In the coordinate plane, a circle centered on point (3, -4) passes through point (1, 1). What is the area of the circle?
Choices:
29π
25π
37π
41π
Answer: A
Question: The average of 10 numbers is calculated as 20. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
26
16
97
20
Answer: D
Question: The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?
Choices:
2.5 cm
3 cm
3.5 cm
4 cm
Answer: A
Question: A batsman in his 12th innings makes a score of 80 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
43
44
45
58
Answer: D
Question: Find (7x + 6y ) / (x-2y) if x/2y = 3/2 ?
Choices:
25
26
27
29
Answer: C
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
Rs. 16.54
Rs. 16.80
Rs. 16.50
Rs. 16.00
Answer: C
Question: An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.16%
5.12%
5.16%
Answer: A
Question: A team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. If the team won a total of 70 percent of its games that season, what was the total number of games that the team played?
Choices:
90
120
150
180
Answer: B
Question: A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 2.5 grams per cubic centimeter and mineral Y weighs 4 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
Choices:
3,400,000
55,000
28,000
280
Answer: A
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
450
276
187
161
Answer: A
Question: For which of the following functions f(x), is it always true that f(a/b) = f(b/a)?
Choices:
f(x) = x^2
f(x) =1/(x/2)
f(x) = x+1
None of the above
Answer: D
Question: If x is Negative integer ,y is positive integer, and 7x+3y=14 , which of the following could be the value of x ?
Choices:
-1
-2
-3
-4
Answer: A
Question: The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $930, what is the length of the plot in meters?
Choices:
20
28
11
19
Answer: A
Question: If the area of a circle is 25pi square feet, find its circumference.
Choices:
10 pi feet
38 pi feet
48 pi feet
58 pi feet
Answer: A
Question: What is the dividend. divisor 17, the quotient is 8 and the remainder is 5
Choices:
B)141
C)150
D)153
E)158
Answer: A
Question: How many two-digit integers exist such that all their digits are odd?
Choices:
25
120
125
135
Answer: A
Question: The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is
Choices:
27months
20months
12months
None of these
Answer: A
Question: A shopkeeper sold sarees at Rs. 266 each after giving 5% discout on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?
Choices:
250
260
270
None
Answer: A
Question: Pipes A and B can fill a tank in 6 and 3 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
Choices:
2 2/5 hours.
1 1/5 hours.
4 2/5 hours.
2 1/5 hours.
Answer: A
Question: Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,900 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
Choices:
40,000
42,500
45,900
48,500
Answer: C
Question: Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?
Choices:
2
7
8
9
Answer: A
Question: 11234783131 find the next three numbers
Choices:
178
176
181
191
Answer: D
Question: When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 16. Which of the following is true?
Choices:
17x –23y = 11
17x +23y =19
14x + 5y = 6
5x – 14y = -6
Answer: A
Question: 1, 8, 27, 64, 125, ?
Choices:
216
200
250
180
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Choices:
153500m2
153600m2
153800m2
None of these
Answer: B
Question: A forest consists of 4 elms, 6 red woods, and 5 birches In how many ways can 2 elms, 2 red woods and 2 birches be selected from the given group?
Choices:
346 ways
5400 ways
157 ways
134 ways
Answer: B
Question: A committee of 6 is chosen from 8 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Choices:
700
1404
2620
3510
Answer: A
Question: A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability J that the first ball picked up is odd numbered?
Choices:
1/3
1/2
2/3
1
Answer: C
Question: A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
Choices:
100
777
299
277
Answer: A
Question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?
Choices:
2 days
8 days
4 days
3 days
Answer: D
Question: The age of a father is 5/2 of his daughter. 5 years ago it was 3 times that of his daughter.what is daughter's present age?
Choices:
20 YRS
15 YRS
10 YRS
18 YRS
Answer: A
Question: In day before Yesterday it was Monday, What day will fall on day after tomorrow ?
Choices:
Tuesday
Saturday
Friday
Monday
Answer: C
Question: Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/2 of capacity in 9 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
Choices:
3.6
4.2
4.4
6
Answer: D
Question: At 9 am a car (A) began a journey from a point, traveling at 40 mph. At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A). At what time will car B pass car A?
Choices:
12p.m.
2p.m.
3p.m.
11p.m.
Answer: A
Question: If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 2?
Choices:
7/36
5/36
1/36
12/36
Answer: C
Question: Shekar scored 76, 65, 82, 67 and 75 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?
Choices:
69
75
85
73
Answer: D
Question: On Monday, a certain animal shelter housed 72 cats and dogs. By Friday, 1/6 of the cats and 1/5 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
Choices:
12
13
14
15
Answer: C
Question: When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $110.60, what was the total value of the item?
Choices:
$2370
$2580
$2790
$2950
Answer: B
Question: The roots of the equation ax2 + bx + c = 0 will be reciprocal if:
Choices:
a = bc,
c = a,
c = b
c = ab.
Answer: B
Question: When positive integer t is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
Choices:
1
2
3
4
Answer: A
Question: Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 8, while all other numbers remain the same, what is the new average of Set S?
Choices:
6.7
6.8
7.0
6.9
Answer: C
Question: A small college reduced its faculty by approximately 20 percent to 195 professors. What was the original number of faculty members?
Choices:
208
224
254
244
Answer: D
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 5 cm.
Choices:
185 cm2
85 cm2
85 cm2
95 cm2
Answer: D
Question: 0---:-|---:--|-:--:-|--:---|-:----1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance Q between any two of the tick marks?
Choices:
1/35
2/35
1/12
1/7
Answer: A
Question: AZ + CD = AAA, where AZ and CD are two-digit numbers and AAA is a three digit number; A, Z, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 48 kg more than the weight of the third boy, what is the weight of the lightest boy?
Choices:
38.4 kg
98.4kg
65.4 kg
87.4 kg
Answer: A
Question: A container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution?
Choices:
3:7
3: 5
5:12
7:3
Answer: C
Question: A fruit seller sells mangoes at the rate of Rs.12 per kg and thereby loses 15%. At what price per kg, he should have sold them to make a profit of 5%
Choices:
Rs 9.82
Rs 10.82
Rs 14.82
None of these
Answer: C
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choices:
25
2520 metre sq
2540 m^2
2590 m^2
Answer: B
Question: How many numbers from 15 to 65 are exactly divisible by 5?
Choices:
7
9
10
12
Answer: C
Question: Find Unit digit of(7^71*6^59*3^65)
Choices:
55
66
4
22
Answer: C
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
10
12
18
20
Answer: C
Question: A train 500m long takes 10 sec to cross a man walking at 6 kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
B)150kmph
C)162kmph
D)176kmph
E)100kmph
Answer: C
Question: For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 40 candles at a distance of 3 feet from the source, what is the intensity of the light at a distance of 20 feet from the source?
Choices:
9/10 candles
1 1/3 candles
2 candles
3 candles
Answer: A
Question: A boat goes 100 km downstream in 4 hours, and 75 Km upstream in 15 hours. The speed of the stream is?
Choices:
10
25
35
15
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 35,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:0
17:7
17:2
17:3
Answer: B
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
1
9
10
19
Answer: D
Question: A dice has one of the first 6 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 10 times and the results added.the addition is most likely to be closet to
Choices:
48
60
68
70
Answer: C
Question: How much time will it take for an amount of 1800 to yield 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
2 years
1 years
7 years
Answer: C
Question: The ratio between the number of sheep and the number of horses at the Stewart farm is 1 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:
28
32
56
8
Answer: D
Question: In how many ways can the letters of the word 'LEADER' be arranged?
Choices:
360
455
375
480
Answer: A
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 1 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/1
8 1/4
8 1/2
12 3/4
Answer: D
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 350. Find the total worth of the stock?
Choices:
20000
20289
17500
20026
Answer: C
Question: If n = 2×3×5×7×11×13×19, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even
Choices:
II only
III only
I and III
None of the above
Answer: A
Question: From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t, the x, or the u in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)
Choices:
15
16
31
32
Answer: C
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 10%. How much will an air-conditioning unit cost in November?
Choices:
$434
$472
$484
$491
Answer: A
Question: A basket contains Rs 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 3 : 4 : 4. The number of 50 paise coins is ?
Choices:
128
144
100
90
Answer: B
Question: Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 90. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
Choices:
89
90
98
95
Answer: C
Question: The greatest number that divides 60 and 190 leaving remainder 6 and 10 respectively is:
Choices:
18
19
22
23
Answer: A
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 48 days. If 60 more cows and 30 more buffaloes are brought in, how many days will the fodder last?
Choices:
18 days
21 days
24 days
27 days
Answer: A
Question: The unit digit in the product (722 * 774 * 889 * 223) is:
Choices:
7
6
8
1
Answer: B
Question: After playing 40 games, the Lesley basketball team had won 50% of the games. The additional games played gave the team a 20% total winning average. How many additional games must the team have won to obtain this average?
Choices:
15
7
10
9
Answer: A
Question: To asphalt 1km road, 30 men spent 12 days working 8 hours per day. How many days, 20 men will spend to asphalt a road of 2km working 15 hours a day?
Choices:
22
21
20
19.2
Answer: D
Question: A batsman makes a score of 50 runs in the 6th inning and thus increases his average by 2. Find his average after 6th inning.
Choices:
40
60
70
80
Answer: A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 6 ½ hours if they are walking in the same direction?
Choices:
6 km
8 1/8 km
9 km
5 km
Answer: B
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
Choices:
787
500
277
181
Answer: B
Question: 1397 x 1397 = ?
Choices:
1951609
1951610
1951611
1951613
Answer: A
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
Choices:
33
39
40
41
Answer: B
Question: A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
10
15
8
13
Answer: B
Question: What is the remainder when (71)(73) is divided by 8?
Choices:
2
4
5
7
Answer: D
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 30% profit on the first article and 30% loss on second article. Find the net profit or loss percent?
Choices:
278
282
202
300
Answer: D
Question: Lucia is a wonderful grandmother.Her age is b/w 50 to 70.Each of her sons have as many sons as they have brothers.Their combined number gives Lucia's present age?what is her age?
Choices:
55
84
64
62
Answer: C
Question: Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is t, what is the difference between the probability that t is even and the probability that t is odd?
Choices:
1/9
2/9
1/4
1/2
Answer: A
Question: A picnic attracts 240 persons. There are 80 more men than women, and 80 more adults than children. How many men are at this picnic?
Choices:
75
110
120
200
Answer: C
Question: Find four consecutive even integers such that the sum of the second and fourth integers is one and a half times the sum of the first and third integers.
Choices:
n, 2, 4, 6
n, 2n, 3n, 4n
n, n+2, n+4, n+6
n, n^2, n^4, n^6
Answer: C
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
None of these
Answer: B
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19
19.7
21
23
Answer: B
Question: An empty tank be filled with an inlet pipe ‘A’ in 42 minutes. After 12 minutes an outlet pipe ‘B’ is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe ‘C’ opened into the same tank, which can fill the tank in 35 minutes and the tank is filled. Find the time taken to fill the tank?
Choices:
51.5
51.7
51.1
51.0
Answer: A
Question: If a and b are positive integers and x = 4^a and y = 5^b, which of the following is a possible units digit of xy?
Choices:
0
5
7
8
Answer: A
Question: In a sequence of 12 numbers, each term, except for the first one, is 12^12 less than the previous term. If the greatest term in the sequence is 12^13, what is the smallest term in the sequence?
Thus, A12 = A1+12-1d
Where d is the difference between each pairs of consecutive terms. Since each term is 1211 less than the previous term, d=-1211Click individual answer choices for specific explanations.
From what I undersltand the formula for an arithmetic sequence represents
some-number-in-the-sequence= first-number-in-sequence +the-place-of-that-number - 1x the-difference-of-each-#-in-the-sequence
Choices:
0
12^11
11·12^11
12^12
Answer: D
Question: The probability of Sam passing the exam is 1/3. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
Choices:
1/2.
1/3.
2/3.
2/5
Answer: A
Question: In the coordinate plane, one of the vertices of a square is the point (-3, -4). If the diagonals of that square intersect at point (4, 2), what is the area of that square?
Choices:
196
140
128
134
Answer: A
Question: A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Choices:
6 days
8 days
12 days
15 days
Answer: A
Question: You frequently buy a box of dog toys for your 3 puppies to play with. Typically, the toys last 60 days before the dogs bury them all and you have to buy another box. Recently, you've started your own mini-animal shelter and now have 25 total puppies. You've just purchased a new box of dog toys, how many days until they bury all the toys?
Choices:
9.7
75
19.2
7.2
Answer: D
Question: Two employees X and Y are paid a total of Rs. 572 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.280
s.290
s.260
s.300
Answer: C
Question: Of the twelve participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
Choices:
4
6
9
20
Answer: C
Question: 34.	The side surface of a cylinder is rolled with a rectangular plate. If the height of a cylinder tank is 10 feet and the perimeter of the circular base Is 4 feet, what is the area of the rectangular plate?
Choices:
34
28
40
14
Answer: C
Question: The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits G of the larger integer?
Choices:
G=2
G=8
G=10
G=11
Answer: A
Question: When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 8?
Choices:
3
4
5
6
Answer: A
Question: There is a square with sides of 12. What is the circumference of the biggest circle that can be cut out of this square?
Choices:
31.42
36
18.85
37.7
Answer: D
Question: The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
36
51
cannot be determined
None of these
Answer: B
Question: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 1/3 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Choices:
x/2
2x/3
3x/2
2x
Answer: D
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.4520
s.5436
s.4530
s.4521
Answer: B
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 2:40:70. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Choices:
600
650
700
720
Answer: C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 130 sq cm. Find the area of the square?
Choices:
268
260
480
Cannot be determined
Answer: D
Question: Ken and Shen are workers in a department that has a total of 10 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Choices:
1/45
11/45
12/45
1/45
Answer: A
Question: If 12 carpenters working 6 hours a day can make 460 chairs in 24 days, the no. of chairs made by 18 carpenters in 36 days each working 8 hours a day will be:
Choices:
1380
1320
1260
None of these
Answer: A
Question: 9 - 3 ÷ 1/3 + 2 = ?
Choices:
2
6
9
12
Answer: A
Question: A man has Rs. 448 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:
60
75
84
95
Answer: C
Question: Out of first 20 natural numbers , one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/29
17/21
P(EᴜP) =17/20
17/212
Answer: C
Question: There are 9 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
1296
1,060
1,520
1,980
Answer: A
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
32 liters
41 liters
50 liters
34 liters
Answer: C
Question: Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
Choices:
8/32
8/35
8/31
6/38
Answer: B
Question: A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find A's share.
Choices:
Rs. 3240
Rs. 2880
Rs. 3360
None of these
Answer: A
Question: P runs 25% faster than Q so P gives Q a ten meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Choices:
50
70
80
90
Answer: A
Question: 5.005/4.004 =
Choices:
1.50015
1.501
1.5015
1.25
Answer: D
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?
Choices:
27
12
37
01
Answer: C
Question: Jim is now twice as old as Fred, who is nine years older than Sam. Four years ago, Jim was four times as old as Sam. How old is Jim now?
Choices:
44
48
52
56
Answer: B
Question: If a = 0, b = 0, and (a^2)b = a, then which of the following MUST equal a?
Choices:
0
b
b^2
b^2 – 2b +1
Answer: A
Question: What is the difference between local value & face value of 3 in the numeral 65793?
Choices:
8956
8991
0
10000
Answer: C
Question: If x and y are both odd prime numbers andx < y, then how many different positive integer factors does2xyhave?
Choices:
4
6
12
8
Answer: D
Question: It takes 50 identical printing machines 8 hours to print 500,000 posters. How long would it take 40 of these machines to print the same total?
Choices:
10 hr
12 hr 24 min
12 hr, 40 min
13 hr, 20 min
Answer: A
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 735, Krishan has ?
Choices:
s. 4335
s. 1190
s. 1620
s. 2680
Answer: A
Question: A number consists of two digits. The sum of the digits is 9. If 63 is subtracted
from the number, its digits are interchanged. Find the number.
Choices:
36
81
72
18
Answer: B
Question: Renuka bought an electric cooker at 90% of the regular price. She paid $360 for the cooker. What was the regular price?
Choices:
$400
$450
$550
$650
Answer: A
Question: 8269Ã—9998=?
Choices:
82673462
86985434
68954365
65486954
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 2:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
3:1
6:5
3:2
3:5
Answer: D
Question: Insert the missing number.
2, 6, 12, 20, 30, (....)
Choices:
38
42
66
19
Answer: B
Question: In a two digit number it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 208, What is the number ?
Choices:
25
26
27
28
Answer: B
Question: 9x^2+3px+6q divided by 3x+1 leave reminder -3/4 and qx^2+4px+7 is exactly divisible by x+1, then find the values of p and Q
Choices:
7/4,0
9/4,0
7/4,1
7/4,2
Answer: A
Question: A man gets a simple interest of Rs.200 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
s.226
s.300
s.356
s.410
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
Choices:
360
299
276
111
Answer: A
Question: Rs.240 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
266
120
299
180
Answer: D
Question: A and B complete a work in 3 days. A alone can do it in 9 days. If both together can do the work in how many days?
Choices:
3.99 days
2.99 days
2.98 days
2.25 days
Answer: D
Question: A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born.
The probability of having a boy is same as the probability of having a girl. What will be the proportion of boys to girls in the village after some time?
Choices:
1.3
5.1
2.3
1.1
Answer: D
Question: A women walking at 3 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Choices:
1 3/5 Km
4 1/3 Km
5 Km
5 1/3 Km
Answer: A
Question: Which of the following is not a prime number ?
Choices:
98
103
107
109
Answer: A
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choices:
635.5
635.51
635.19
635.29
Answer: A
Question: The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :
Choices:
11.5
11.1
11.9
11.3
Answer: A
Question: A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 5 points if you must draw exactly 2 “low” cards?
Choices:
2
3
4
12
Answer: D
Question: A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 10% so that the customer could not buy the required amount of the product. The customer managed to buy only 90% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
Choices:
4%
3%
2%
1%
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
Choices:
17
17
12
16
Answer: D
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/27
5/26
3/19
2/19
Answer: B
Question: Five years hence, father’s age will be three times the age of his son. Five years ago, father was enven times as old as his son. Find their present ages.
Choices:
40 years and 10 years
35 years and 5 years
41 years and 11 years
None of these
Answer: A
Question: Ms. Morris invested in Fund A and Fund B. The total amount he invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Ms. Morris invest in Fund A?
Choices:
$36,000
$40,000
$42,000
$45,000
Answer: C
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Choices:
0 sq m
2 sq m
3 sq m
6 sq m
Answer: A
Question: How many four-digit positive integers can be formed by using the digits from 1 to 9 so that two digits are equal to each other and the remaining two are also equal to each other but different from the other two ?
Choices:
1728
108
216
432
Answer: C
Question: Find the one which does not belong to that group?
Choices:
36
23
64
4
Answer: B
Question: The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
Choices:
180
75
65
None of these
Answer: B
Question: 72519 x 9999 = ?
Choices:
725117481
685126481
696217481
None of them
Answer: A
Question: Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $3,500 less if they could find two more equal investors. How much is the total investment in the new business?
Choices:
$4,800
$21,000
$ 19,400
$ 26,250
Answer: D
Question: In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choices:
150
250
350
None
Answer: A
Question: If the probability that Green Bay wins the Super Bowl is 1/10 and the probability that Milwaukee wins the World Series is 1/15, what is the probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series (but not both)?
Choices:
23/150
17/100
11/80
7/50
Answer: A
Question: The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
Choices:
10
70
90
100
Answer: A
Question: Richie made a part payment of $325 toward buying a brand new scooter, which represents 8% of the total cost of the scooter, how much remains to be paid?
Choices:
$2275
$1275
$1175
$5275
Answer: A
Question: 317 x 317 + 283 x 283=?
Choices:
80578
80698
180578
None of them
Answer: C
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 5h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
52 : 35
13 : 7
15 : 6
13 : 6
Answer: A
Question: Q and F represent two distinct digits. If the number 457Q89F is divisible by 36, what is the value of (Q+F)?
Choices:
b) 3
c) 12
d) 6
e) 10
Answer: A
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
1000
3000
4000
5000
Answer: A
Question: What is the largest 4 digit number exactly divisible by 72?
Choices:
4678
8888
9504
9936
Answer: D
Question: If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance.
Choices:
2 km
1 km
6 km
7 km
Answer: C
Question: In a school with 5 classes, each class has 2 students less than the previous class. How many students are there in the largest class if the total number of students at school is 120?
Choices:
26
27
28
29
Answer: C
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs.1160
Rs.1190
Rs.1202
NONE
Answer: B
Question: When 28 is divided by the positive integer e, the remainder is 1. What is the sum of all the possible values of e for which this is true?
Choices:
3
9
30
39
Answer: D
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly 8 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Choices:
32/3
35/3
40/3
44/3
Answer: C
Question: Select the correct combi nat ion of mathematical signs to replace * signs and to balance the given equation. 8 * 5 * 2 * 72 * 4
Choices:
× = + ÷
+ × = ÷
× + = ÷
+ + = ÷
Answer: B
Question: The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle?
Choices:
37
87
84
82
Answer: C
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 162 km/hr
Choices:
2.22 seconds
3.5 seconds
2.5 seconds
2.6 seconds
Answer: A
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams T?
Choices:
T=32
T=64
128
512
Answer: A
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 3% higher then what would the sum amount in the same time period?
Choices:
Rs. 3683
Rs. 3596
Data inadequate
None of these
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 square feet, if the price per foot of building the fence is Rs. 58?
Choices:
3944
3929
3926
3902
Answer: A
Question: X is the largest prime number less than positive integer N. P is an integer such that P = X – 16. Also, Z = 1*2*…*P√P. If N is the first non-zero perfect square whose tens digit and units digit are same, How many different prime factors does Z have?
Choices:
4
6
160
320
Answer: A
Question: If x^2 + y^2 = 15 and xy = 3, then (x − y)^2 =
Choices:
9
14
17
20
Answer: A
Question: Magnabulk Corp sells boxes holding n magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Choices:
100m/bn
bn/(100m)
m/(bn)
bn/m
Answer: A
Question: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
Choices:
82
85
90
95
Answer: B
Question: There is a equilateral triangle whose area is A. Another triangle is formed by joining the mid points. This process is continued. Find the sum of these areas.
Choices:
43A
47A
49A
41A
Answer: A
Question: Some amount is lent at 6% per annum simple interest.After 1 year rupees 6800 is repaid and the rest of the amount is repaid at 5% per annum.If the second year's interest is 11/20 of the first years interest,find what amount of money was lent out.
Choices:
17000
16500
17500
18500
Answer: A
Question: A cyclist covers a distance of 820 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist
Choices:
17 km/hr
18 km/hr
19.8 km/hr
20 km/hr
Answer: C
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
18
21
26
28
Answer: A
Question: In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
7 sec
8 sec
9 sec
2 sec
Answer: A
Question: In a 1000 m race, A beats B by 50 m and B beats C by 50 m. In the same race, by how many meters does A beat C?
Choices:
A)98m
C)822m
D)929m
E)132mj
Answer: A
Question: If the President and Vice President must sit next to each other in a row with 5 other members of the Board, how many different seating arrangements are possible?
Choices:
1440
300
360
720
Answer: A
Question: If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 35 men in 3 days?
Choices:
52mtr
70mtr.
78mtr.
98mtr.
Answer: D
Question: The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
Choices:
20m
50m
40m
30m
Answer: A
Question: If x = 4^16 and x^x = 4^k, what is k?
Choices:
4^16
4^18
4^20
4^22
Answer: B
Question: If x=1/8, which expression has the greatest value?
Choices:
x^(1/2)
1/(2x)
x/.03
x^(-3)
Answer: D
Question: Find the greatest number that exactly divides 35, 91 and 840?
Choices:
6
7
8
9
Answer: B
Question: A man buys a cycle for Rs. 1900 and sells it at a loss of 18%. What is the selling price of the cycle?
Choices:
s. 1560
s. 1558
s. 1252
s. 1062
Answer: B
Question: The average of the marks of 12 girls in a class is 36. If the marks of each girl are doubled, find the new average?
Choices:
70
72
74
75
Answer: B
Question: A hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the metal is:
Choices:
47 3/5cm3
47 7/5cm3
47 9/5cm3
None of these
Answer: A
Question: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.6, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.096
0.488
0.512
0.64
Answer: A
Question: A school having five classes only have student strength of 10, 10, 20, 20 and 40 respectively. The pass percentages of these classes are 20%, 30%, 60%, 90% and 100% respectively. What is the pass percentage for the entire school?
Choices:
75%
34%
66%
46%
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
2 1/4
4 1/2
5
7
Answer: A
Question: 63.2 is what percent of 867?
Choices:
8.99
7.29
7.98
9.21
Answer: B
Question: If x > y^4 > z^5, which of the following statements could be true? I. x>y>z II. x>z III.y=z
Choices:
I,II only
II only
I only
II,III only
Answer: A
Question: What is the sum of 59 consecutive integers from -29 inclusive, in a increasing order?
Choices:
29
-30
0
60
Answer: C
Question: In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?
Choices:
75
45
63
25
Answer: C
Question: At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the meeting, how many people are present?
Choices:
7
8
9
10
Answer: A
Question: What approximate value should come in place of the question mark(?) in the following equation?
6.39 × 15.266 + 115.8 of 2⁄5 = ?
Choices:
145
180
130
135
Answer: A
Question: A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together?
Choices:
(mx + ny + pz) / (m + n + p)
(mA + nB + pC) / (A + B + C)
(mx + ny + pz) / (A +B + C)
None of these
Answer: A
Question: By selling an umbrella for Rs. 200, a shop keeper gains 50%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
25
15
10
5
Answer: A
Question: List K consists of 12 consecutive integers. If -5 is the least integer in list K, what is the range of the positive integers in list K?
Choices:
5
7
11
12
Answer: A
Question: The radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
Choices:
70
300
500
None of these
Answer: A
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two
numbers is
Choices:
3:5
4:5
6:5
None of these
Answer: B
Question: If d=(10^10)-47, what is the sum of all the digit of d?
Choices:
45
50
55
80
Answer: D
Question: The average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
A)5
C)6
D)2
E)1
Answer: A
Question: 80 is what percent of 40?
.
Choices:
2%
200%
20%
500%
Answer: B
Question: 9 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now?
Choices:
44
54
64
74
Answer: B
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
147
165
315
Answer: B
Question: How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
Choices:
103
111
120
201
Answer: B
Question: 2^(20) + 2^(21) + 2^(22) + ... + 2^(49) + 2^(50) =
Choices:
2^20(2^(31)-1)
2^20(2^(28)-1)
2^21(2^(21)-1)
2^21(2^(25)-1)
Answer: A
Question: A company bought for its 5 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
Choices:
10
25
29
31
Answer: A
Question: A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest .What is the rate of interest ?
Choices:
4%
5%
6%
7%
Answer: C
Question: Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers o did Carl drive each way?
Choices:
345
320
280
240
Answer: C
Question: Convert 0.35 in to a vulgar fraction ?
Choices:
16/50
7/20
19/50
None
Answer: B
Question: A train speeds past a pole in 20 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
876 m
251 m
150 m
400 m
Answer: D
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 20% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?
Choices:
20%
17%
19%
None of these
Answer: C
Question: One night 16 percent of the female officers on a police force were on duty. If 160 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
500
800
950
1100
Answer: A
Question: If 5% more is gained by selling an book for $ 350 than by selling it for $ 340, the cost of the book is:
Choices:
210
200
227
220
Answer: B
Question: A librarian has a set of twelve books, including four different books about Abraham Lincoln. The librarian wants to put the twelve books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other eight books. How many different arrangements of the twelve books are possible?
Choices:
(4!)(8!)
(4!)(9!)
(4!)(12!)
(4!)(8!)(12!)
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
17%
12%
82%
92%
Answer: B
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 52 people bought tickets to the concert, what was the total revenue from ticket sales?
Choices:
$740
$850
$900
$1,140
Answer: C