antoine-444/aqua_rat_dataset huggingface dataset:
Question: In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
Choices:
2080
3120
4160
None of these
Answer: B
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
40
70
80
20
Answer: A
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 140?
Choices:
29
30
31
32
Answer: D
Question: At a tanning salon, customers are charged $10 for their first visit in a calendar month and $8 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
Choices:
$1240
$1300
$1340
$1880
Answer: A
Question: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability R that the team will have exactly 2 women?
Choices:
1/7
2/7
3/7
1/2
Answer: C
Question: What number is 70 more than one-fourth of itself?
Choices:
93
288
324
336
Answer: A
Question: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?
Choices:
251001
260101
261001
None of these
Answer: A
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
45
66
88
12
Answer: A
Question: If m and n are positive integers of T such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Choices:
2n/m + 1
2n/(m+1)
2m/n
2n/m
Answer: D
Question: If the seventh day of a month is three days earlier than Friday, What day will it be on the nineteenth
day of the month?
Choices:
Monday
Sunday
Wednesday
None of these
Answer: B
Question: If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 9 m of the same rod?
Choices:
34.2 kg
28 kg
26.5 kg
None of these
Answer: A
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20
88
66
21
Answer: A
Question: There are 70 doors marked with numbers 1 to 70. There are 70 individuals marked 1 to 70.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, and 70. If every individual in the group gets one turn, then how many doors are open at the end?
Choices:
2
5
8
10
Answer: C
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
56
54
67
19
Answer: B
Question: A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2km/hr
5.2km/hr
10km/hr
5km/hr
Answer: A
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 75 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
Choices:
5%
15%
20%
22.5%
Answer: D
Question: In 1978, a kg of paper was sold at Rs25/-.If the paper rate increases at 1.5% more than the inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?
Choices:
29.16
30.12
32.65
None of these
Answer: A
Question: Three consecutive odd integers are in increasing order such that the sum of the last two integers is 21 more than the first integer. Find the three integers?
Choices:
7, 2, 10
15,17,19
7, 9, 11
7, 9, 29
Answer: B
Question: If a train, travelling at a speed of 360 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
112 m
500 m
125 m
433 m
Answer: B
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 20 such machines produce in 4 minutes ?
Choices:
1800
2700
10800
3600
Answer: D
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Choices:
16
18
25
27
Answer: A
Question: A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% sunflower. If a customer purchases a mix of the two types of birdseed that is 50% sunflower, what percent of the mix is Brand A?
Choices:
45%
50 %
55 %
60 %
Answer: D
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
167 m
245 m
267 m
127 m
Answer: B
Question: A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at p.a for 2 years. Find his gain in the transaction per year
Choices:
112.50
112.58
112.57
112.52
Answer: A
Question: Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?
I.	Retirement age is 60 years.
II.	There are 50 employees in the department.
Choices:
II alone sufficient while I alone not sufficient to
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 50 bricks in the wall, how many bricks does the bottom row contain ?
Choices:
10
9
8
11
Answer: C
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Choices:
720
750
800
900
Answer: A
Question: Alice can fill Q cans of paint in 2 minutes. If there are R cans of paint in one gallon, how many gallons can Alice fill in 36 minutes?
Choices:
18Q/R
18QR
18R/Q
36R/Q
Answer: A
Question: The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 13%?
Choices:
35.9%
37.5%
39.5%
30.5%
Answer: A
Question: A is 6 times as fast as B and takes 100 days less to complete a work than B. Find the total number of days taken by A and B to complete the work.
Choices:
120/7
120/76
120/6
120/1
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
700 m
800 m
100 metre
1004m
Answer: C
Question: 5 x 1.6 - 2 x 1.4/1.3 = ?
Choices:
0
5
4
2
Answer: C
Question: Find the odd man out
445, 221, 109, 46, 25, 11, 4
Choices:
109
46
25
21
Answer: B
Question: Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 243^5?
Choices:
8
10
15
25
Answer: D
Question: If p, q, and r are positive numbers such that (p/(p+q))(10) + (q/(p+q))(20)=r and if p<q which of the following could be the value of r?
Choices:
12
15
18
30
Answer: C
Question: A can do a piece of work 20 days. B can do work in 35 days. In how many days they will complete the work together?
Choices:
16.32 days
12.72 days
17 days
18 days
Answer: B
Question: Each of the 48 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 15 students sign up for the poetry club, 23 students for the history club, and 21 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?
Choices:
4
5
6
7
Answer: A
Question: In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 32% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
Choices:
64.75%
68.00%
69.57%
none of these
Answer: B
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 $ 2178?
Choices:
$ 2650
$ 2670
$ 2200
$ 2540
Answer: C
Question: A shopkeeper sold an article at $100 with 30% profit. Then find its cost price?
Choices:
$100
$91
$77
$69
Answer: C
Question: The price of a VCR is marked at Rs. 12,000. If the successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Choices:
Rs. 8500
Rs. 8721
Rs. 8856
None
Answer: B
Question: In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.9 sec
3.5 sec
7.5 sec
5 sec
Answer: D
Question: Sahil purchased a machine at Rs 12000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
Choices:
Rs. 24000
Rs. 26000
Rs. 27000
None of these
Answer: C
Question: A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
49
53.5
55
57
Answer: A
Question: A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
Choices:
5%
6%
7%
8%
Answer: C
Question: If two positive numbers are in the ratio 1/9 : 1/7, then by what percent is the second number more than the first?
Choices:
70%.
60%.
28.6%.
80%.
Answer: C
Question: Which of the following fractions T, if written as a decimal, would have a 2 in the thousandths place ?
Choices:
3/11
1/8
4/7
1/6
Answer: A
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
94
59
48
Answer: A
Question: In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 10 consecutive days in Rwanda?
Choices:
3/7
105/512
4/28
28/135
Answer: B
Question: A walks at 10 kmph and 10 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Choices:
150km
50km
120km
200km
Answer: D
Question: 20% of a 6 liter solution and 60% of 4 liter solution are mixed. What percentage of the mixture of solution
Choices:
36%
35%
34%
30%
Answer: A
Question: Ravi purchased a car and a mobile phone for Rs. 150000 and Rs. 10000 respectively. He sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
loss of Rs. 2000
profit of Rs. 100
profit of Rs. 200
None of these
Answer: A
Question: If a positive integer n is divisible by both 2 and 7, then n must also be divisible by which of the following?
I. 14
II. 9
III. 42
Choices:
I only
II only
I and II
II and III
Answer: A
Question: A student chose a number, multiplied it by 4, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
60
130
140
150
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
676 m
240 m
239 m
186 m
Answer: B
Question: If a is a positive integer then 6^(2a) + (144^a)/(2^(2a)) =
Choices:
2 × 36^a
3 × 36^a
2 × 64^a
2 × 18^a
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/10
30/14
30/13
30/11
Answer: C
Question: The profit earned by selling on article for 900 is double the loss incurred when the same article is sold for 450. At what price should the article be sold to make 25% profit?
Choices:
750
850
860
890
Answer: A
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 480. The number of hares in the zoo is?
Choices:
40
77
66
221
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 6001
Rs. 6991
Rs. 6976
Answer: A
Question: The probability of pulling a black ball out of a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass?
Choices:
Y/X
X/Y
1/(X+Y).
1/(X-Y).
Answer: B
Question: A statue is being carved by a sculptor. The original piece of marble weighed 200 kg. In the first week 20 percent is cut away. In the second week 25 percent of the remainder is cut away. In the third week the statue is completed when 35 percent of the remainder is cut away. What is the weight of the final statue?
Choices:
97.5 kg
108 kg
125 kg
117 kg
Answer: A
Question: A collection of books went on sale, and 2/3 of them were sold for $1.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$135
$108
$60
$54
Answer: B
Question: If the perimeter of a rectangular garden is 500 m, its length when its breadth is 100 m is?
Choices:
777 m
200 m
167 m
150 m
Answer: D
Question: At what rate percent on simple interest will Rs.1800 amount to Rs.2000 in 5 years?
Choices:
3 6/7 %
2 6/7 %
3.47%
6 %
Answer: C
Question: we have 5 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 10 kg by using only four weight how many wight u can weight
Choices:
2
3
4
5
Answer: D
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 25 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Choices:
2^4*3
24
38
47
Answer: B
Question: Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 14 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?
Choices:
14
10
11
13
Answer: A
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:
60%
30%
10%
20%
Answer: B
Question: How much is 40% of 60 is greater than 4/5 of 25?
Choices:
5
12
8
4
Answer: D
Question: If 0.12 ÷ x2 = 12, than x = ?
Choices:
0.01
0.1
1
0
Answer: B
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
21 days
22 days
11 days
43 days
Answer: C
Question: From 2008 to 2009, the number of Easter eggs in a certain egg hunt rose 20%, then fell 17% from 2009 to 2010. From 2008 to 2009, the ratio of Easter eggs to Easter bunnies in the same hunt fell 20%, then rose 22% from 2009 to 2010. By what approximate percent did the number of bunnies change over the full period from 2008 to 2010?
Choices:
2% increase
1% decrease
3% decrease
6% decrease
Answer: A
Question: If Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
12x/y
x/(12y)
13/(xy)
xy/12
Answer: A
Question: The area of a rectangular field is equal to 500 square meters. Its perimeter is equal to 90 meters. Find the width of this rectangle.
Choices:
10
15
20
25
Answer: C
Question: The sum of two numbers is 30 and their product is 1050. What will be the sum of their reciprocals?
Choices:
(1/35)
(35/4)
(75/8)
None
Answer: A
Question: Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 10^10+11^11 is divided by 5. What is the remainder?
Choices:
1
2
3
4
Answer: C
Question: What is 35% of 4/13 of 780?
Choices:
73
84
95
106
Answer: B
Question: If a + b - c = 2d, and if a - b + c =-2e, then a =
Choices:
d – e
(d + e)/2
d-2e
e-d
Answer: A
Question: Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
Choices:
5000
6000
7000
None of these
Answer: B
Question: A typist uses a sheet measuring 20cm by 30 cm lenghtwise. If a margin of 2 cm is left on each side and a 3 cm margin on the top and bottom, then what is the percentage of page used by the typist?
Choices:
63 %
64 %
65 %
66 %
Answer: B
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre
Choices:
Rs680
Rs880
Rs480
Rs980
Answer: A
Question: A semicircle has a radius of 12. What is the approximate perimeter of the semicircle?
Choices:
62
66
70
74
Answer: A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
24000
34000
35000
30000
Answer: D
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 600 resolutions.
Choices:
844.03 m
845.03 m
846.03 m
847.03 m
Answer: A
Question: The probability of two events A and B are 0.15 and 0.40 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
Choices:
0.4
0.5
0.05
0.6
Answer: D
Question: The area of a square is 144 m². Find its perimeter.
Choices:
28 m
38 m
42 m
48 m
Answer: D
Question: In a room filled with 7 people, 1 people have exactly 1 sibling in the room and 6 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
3/7
4/21
5/7
16/21
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150 m
110 m
130 m
157 m
Answer: A
Question: Two pipes can fill a tank in 12 minutes and 15 minutes. An outlet pipe can empty the tank in 10 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
20
24
26
28
Answer: A
Question: If x% of y is the same as 4/5 of 80, then the value of xy is?
Choices:
6205
5260
4852
6400
Answer: D
Question: A bag holds 5 red marbles and 5 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Choices:
2/5
3/10
2/9
1/2
Answer: C
Question: If you drove at average speed of 66 miles per hour, what distance, in miles, did you drive in 99 minutes?
Choices:
112.7 miles
120.5 miles
108.9 miles
105.6 miles
Answer: C
Question: How many pieces of 85 cm length can be cut from a rod of 17 meters long?
Choices:
40
30
20
10
Answer: C
Question: The midpoints of three of the edges of a cube are
labelled A, B, and C as shown in the diagram. What
is the measure of L ABC ?
Choices:
105o
120o
135o
150o
Answer: B
Question: If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 6?
Choices:
2/3
1/2
5/8
3/4
Answer: A
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Choices:
720
770
780
790
Answer: A
Question: A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
Choices:
90
80
28
93
Answer: B
Question: Find large number from below question The difference of two numbers is 1385. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1678
1767
1659
Answer: D
Question: There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that boys and girls sit alternately?
Choices:
12C6/12!
6!6!/12!
2∗6!6!/12!
6!7!/12!
Answer: C
Question: A car is traveling 85 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1360m/min
2560m/min
1670m/min
1416.67m/min
Answer: D
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20 days
16 days
19 days
36 days
Answer: A
Question: A certain country had a total annual expenditure of $7.2 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
Choices:
$1,000
$2,000
$3,000
$5,000
Answer: C
Question: Two employees M and N are paid a total of $583 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
Choices:
$255
$265
$275
$285
Answer: B
Question: Product of two co-prime numbers is 117. Their L.C.M should be:
Choices:
117
116
equal to their H.C.F
Cannot be calculated
Answer: A
Question: Brand A coffee costs twice as much as brand B coffee. If a certain blend is 1/2 brand A and 1/2 brand B. what fraction of the cost of the blend is Brand A?
Choices:
b. 2/5
3. 1/2
4. 2/3
5. 3/4
Answer: C
Question: A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Choices:
5
7
8
9
Answer: A
Question: Set A = {1, 2, 3, 4, 5, 6, d}
Which of the following possible values for d would cause Set A to have the smallest standard deviation?
Choices:
2.5
3
3.5
7
Answer: C
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 3 days. B can do the work alone in?
Choices:
18
11
19
114
Answer: A
Question: Three friends Alice, Bond and Charlie divide $1105 amongs them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?
Choices:
$495
$480
$375
$360
Answer: A
Question: A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
28 years
23 years
24 years
26 years
Answer: A
Question: The average weight of A, B and C is 42 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
31 kg
32 kg
40 kg
37 kg
Answer: C
Question: A and B can do a piece of work in 8 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
13 1/3
30
88
11
Answer: A
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 Q of the larger integer?
Choices:
Q=2
Q=8
Q=10
11
Answer: A
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $25 per month and Plan B costs $75 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A?
Choices:
30%
37.5%
56.25%
50%
Answer: D
Question: A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction Q of the cookies that were placed in the other tins were placed in the green tin?
Choices:
9/4
5/9
7/5
9/7
Answer: B
Question: If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 5, which of the following could NOT be a possible value of M+N?
Choices:
52
34
29
14
Answer: A
Question: A water tank is three-fifths full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
8 min
7 min
9 min
1 min
Answer: C
Question: If n and y are positive integers and 450y = n^3, which of the following must be an integer?
Choices:
y/(3*2^2*5)
y/(3*2*5^2)
y/(5^3*2^2)
y/(5*3*2)
Answer: A
Question: If x and y are prime numbers such that x > y > 2, then x^2 − y^2 must be divisible by which one of the following numbers?
Choices:
4
5
9
12
Answer: A
Question: How many positive integers between 1 and 300 are there such that they are multiples of 9?
Choices:
33
35
36
23
Answer: A
Question: A can work three times as fast as B. Together they can finish a job in 18 days. In how many days can A complete the job alone?
Choices:
24
28
32
36
Answer: A
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 850 grams. Find the profit percent.
Choices:
300/17%
100/19%
100/13%
None of these
Answer: A
Question: Three workers have a productivity ratio of 2 to 3 to 4. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Choices:
6 to 1
5 to 1
1 to 6
10 to 3
Answer: D
Question: John makes $60 a week from his job. He earns a raise andnow makes $80 a week. What is the % increase?
Choices:
33.33%
17.8%
19%
21%
Answer: A
Question: pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Choices:
9
8
7
1
Answer: A
Question: What is log3(4) log4(5)...log80(81)?
Choices:
4
81
log80 243
e81
Answer: A
Question: How many integers between 6000 and 7000 that have distinct digits and increase from left to right ?
Choices:
20
60
80
600
Answer: A
Question: Calculate the different number of ways 3 girls and 2 boys can sit on a bench?
Choices:
150
120
122
130
Answer: B
Question: A seven-digit phone number is divisible by 3. After adding the two digits of the area code the number is not divisible by 3, which of the following cannot be the area code?
Choices:
06
05
04
02
Answer: A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 67 more for Rs.40, what is reduced price per dozen?
Choices:
2.86
4.86
3.86
5.86
Answer: A
Question: If M is the mean of x,y,z ; then what is the mean of z,y and x
Choices:
3M
10M
M
M-10
Answer: C
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 15 years?
Choices:
35
40
50
60
Answer: A
Question: A guy was asked to specify his age in years. He said, “Take my age 5 years hence, multiply it by five and subtract five times of my age 5 years ago and you will know my age.” What was the age of that guy?
Choices:
15
33
39
50
Answer: D
Question: If 3/a + 4/a + 5/a is an integer, which of the following must also be an integer?
Choices:
12/a
6/a
9/a
15/a
Answer: A
Question: The largest natural number by which the product of three consecutive even natural numbers is always divisible, is
Choices:
24
48
96
78
Answer: B
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
4
6
7
8
Answer: B
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 1/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?
Choices:
a.	A - 10
c.	C – 22.5
d.	D – 30
e.	E – 67.5
Answer: A
Question: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 16 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
Choices:
5
7
8
9
Answer: A
Question: In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $3.5. The factory holds a $45 worth stock of 11 modules. How many of the modules in the stock are of the cheaper kind?
Choices:
28
25
20
10
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
Choices:
17%
29%
55%
45%
Answer: A
Question: In how many ways the letters of the word TIME be arranged?
Choices:
4
24
89
120
Answer: B
Question: Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 48% nuts, what percent of the combined mixture is dried fruit?
Choices:
24%
28%
32%
36%
Answer: B
Question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 2 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
18
22
6
Answer: B
Question: If 3 tic equals 6 tacs and 2 tacs equal 7 tocs, what is the ratio of one tic to one toc?
Choices:
7/1
5/6
3/10
1/15
Answer: A
Question: The total marks obtained by a student in Mathematics and Physics is 80 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
30
25
50
None of these.
Answer: C
Question: A woman can do a piece of work in 40 days. Man is 25% more efficient than Woman. In how many days a man can do the same piece of work?
Choices:
32 days
38 days
40 days
53 days
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
10 years
12 years
None of these
Answer: A
Question: How long will a boy take to run round a square field of side 60 meters, if he runs at the rate of 9km/hr?
Choices:
96sec
1min
32sec
25sec
Answer: A
Question: Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
20,000
20,005
20,002
20,001
Answer: A
Question: How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.
Choices:
1000 cubes
100 cubes
50 cubes
None of these
Answer: A
Question: 15.03 Ã— 0.01 = ?
Choices:
0.1503
1.503
0.001503
None of these
Answer: A
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 35 cm?
Choices:
268 sq.cm
618 sq.cm
297 sq.cm
700 sq.cm
Answer: D
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 3 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choices:
4/1
2/3
3/4
3/1
Answer: D
Question: Tough and Tricky questions: Ratios
1/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
Choices:
2/3
7/15
23/30
4/5
Answer: B
Question: The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
Choices:
35 kg
85 kg
45 kg
25 kg
Answer: A
Question: The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?
Choices:
-10, 3
20,-3
-10,-3
None of these
Answer: D
Question: John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $55. What is the percent decrease?
Choices:
30%
40%
50%
45%
Answer: D
Question: The triplicate ratio of 1:2 is?
Choices:
1:8
1:3
1:1
1:2
Answer: A
Question: A certain gallery is hanging a series of 7 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 3 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
Choices:
200
144
80
16
Answer: B
Question: The average age of 28 students in a group is 11 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
38
40
cannot be determined
None of these
Answer: B
Question: Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 630meters, after what time will they meet at the starting point?
Choices:
15sec
42sec
50sec
1min
Answer: B
Question: Average between two sets of numbers is closer to the set withmore numbers?
Choices:
80
98
89
91
Answer: A
Question: If an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. If the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production?
Choices:
10%
14%
15%
18%
Answer: B
Question: How many possible ways are there to select 2 stocks at random from 7 stocks?
Choices:
19
21
23
25
Answer: B
Question: A 6% stock yields 8%. The market value of the stock is
Choices:
75
44
27
91
Answer: A
Question: Which of the following number is divisible by 24 ?
Choices:
63810
537804
3125736
63811
Answer: C
Question: Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 54 seconds. The length of each train is:
Choices:
50m
75m
80m
None of these
Answer: B
Question: An article is bought for Rs.1200 and sold for Rs.1300, find the loss percent?
Choices:
8.33%
10.00%
11.11%
7.56%
Answer: A
Question: If the number 53,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
5
2
1
0
Answer: D
Question: A beauty pageant is being held with 50 competitors (one from each state in the USA). Each competitor has an equal chance of winning the competition. Four competitors will be chosen, and each will win either 1st, 2nd, 3rd, or 4th place. What is the probability California, Florida, and Hawaii will win three of the four places?
Choices:
3/5
1/100
1/4,900
1/5
Answer: C
Question: The mean of four integers E will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
Choices:
I only
III only
I and II only
I, II, and III
Answer: A
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour?
Choices:
8
9
1
2
Answer: B
Question: The number 4 is the smallest positive
integer that has exactly three factors:
1, 2, and 4. If k is the next-highest integer
that also has exactly three factors, what is
the sum of the three factors of k?
Choices:
18
16
14
13
Answer: D
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
16.98%
17.23%
18.3%
Answer: A
Question: What is 0.01 percent of 15,356?
Choices:
1.5356
15.356
0.015356
0.0015356
Answer: A
Question: Two taps can separately fill a cistern 20 minutes and 30 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
37
36
39
35
Answer: B
Question: If (8,000)(6,000) = (480)(10^y), what is the value of y?
Choices:
5
3
2
1
Answer: A
Question: The sum of two numbers is 16. The difference is 6. What are the two numbers?
Choices:
8-8
9-7
11-5
13-3
Answer: C
Question: Paul buys his co-workers donuts 24 glazed, 12 creme-filled and 6 with sprinkles. The glazed donuts cost $0.75 each, the creme-filled donuts cost $1.00 each, and the sprinkle covered donuts cost $0.50 each. What is the average cost Paul paid for each donut?
Choices:
75 cents
79 cents
80 cents
1 dollar
Answer: B
Question: How many positive integers less than 100 have a remainder of 6 when divided by 13?
Choices:
7
6
9
10
Answer: B
Question: If the price of a certain computer increased 30 percent from d dollars to 377 dollars, then 2d =
Choices:
570
619
649
580
Answer: D
Question: For any number x, x* is defined as the greatest positive even integer less than or equal to x. What is the value of 5.2 – 5.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: A
Question: The compound ratio of 5:6, 3:2 and 4:5?
Choices:
1:6
1:2
1:1
1:7
Answer: C
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 40% alcohol, is?
Choices:
2.25
5.25
6.25
7.25
Answer: A
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
276
297
236
Answer: A
Question: When positive integer x is divided by positive integer y, the result is 59.32. What is the sum Q of all possible 2-digit remainders for x/y?
Choices:
616
672
728
784
Answer: A
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 6x km.
Choices:
45kmph
48kmph
50kmph
55kmph
Answer: B
Question: If a#b = ab – b + b^2, then 3#8 =
Choices:
80
15
21
35
Answer: A
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
Choices:
28
26
20
27
Answer: A
Question: A survey is conducted on 800 people from a city. It is found that 6 1% of people surveyed speakHindi, 54.5% people speak Bangla and 37.5% of them speak English. 16.5% people can speak only Hindi and Bangla, 14.5% people can speak only Hindi and English and 6% people can speak only Bangla and English. Answer the following questions based on this information.
How many people are there who can speak only Hindi ?
Choices:
174
176
178
179
Answer: B
Question: An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 36 coaches are attached.
Choices:
24
20
32
40
Answer: A
Question: Divide 5679 by 7 and find out remainder and quotient ?
Choices:
811, 2
921, 7
805, 4
951, 20
Answer: A
Question: If a and b are different values and a – b = 3(√a - √b), then in terms of b, a equals:
Choices:
b
b - 2√b + 1
b - 6√b + 9
b^2 – 2b√b + b
Answer: C
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
125
772
662
812
Answer: A
Question: A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
200 m
270 m
320 m
None
Answer: B
Question: The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 220, how many such sequences can be formed?
Choices:
29
25
33
50
Answer: A
Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Choices:
22
25
24
26
Answer: A
Question: What is the sum of all the multiples of 10 between 0 and 75?
Choices:
620
450
340
280
Answer: D
Question: P,Q and R together earn Rs.1890 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
Choices:
s.40
s.90
s.100
s.120
Answer: A
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 4 runs. His new average is:
Choices:
66 runs
68 runs
70 runs
72 runs
Answer: B
Question: During a recent track meet, Peter ran x meters of the 100 meter dash in 6 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
Choices:
6z/x
6x/z
6/xz
xz/6
Answer: A
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 36 days and B in 18 days, then C alone can do it in?
Choices:
7
8
9
6
Answer: D
Question: An article is bought for Rs.980 and sold for Rs.788, find the loss percent?
Choices:
19%
17%
13%
12%
Answer: A
Question: A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
Choices:
8 hrs 5 min
7 hrs 45 min
9 hrs 20 min
None of these
Answer: B
Question: Which of the following is between 14/19 and 19/23?
Choices:
3/8
1/2
5/8
7/9
Answer: D
Question: The diameter of a cylindrical tin is 8cm and height is 5 cm. Find the volume of the cylinder?
Choices:
45
66
80
21
Answer: C
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent
Choices:
40%
100%
75%
25%
Answer: B
Question: Which of the following could be the value of x, if |14x – 56| = 196?
Choices:
-18
-10
10
1/4
Answer: B
Question: What is the remainder when 54487^(42787035) is divided by 5?
Choices:
1
2
3
4
Answer: C
Question: How many pieces of 85 cm length can be cut from a rod of 42.5 meters long?
Choices:
50
30
20
10
Answer: A
Question: What is the difference between the greatest and the smallest five digit numbers formed using the digits 7, 0, 3, 4 and 2 without repeating the digits?
Choices:
53978
53961
56781
None of these
Answer: A
Question: How many ounces of a 60% salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
Choices:
30
50
60
70
Answer: C
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choices:
30, 40
50, 60
20, 40
35, 45
Answer: A
Question: If -4 < x < 4 and -6 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 24
-28 < xy < 18
-24 < xy < 24
-24 < xy < 24
Answer: C
Question: 9.009/2.002 =
Choices:
4.50045
4.501
4.5045
4.5
Answer: D
Question: Mike, Jim and Bob are all professional fisherman. Mike can catch 33 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
Choices:
154.
186.
98.
142.
Answer: A
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 4 of the slips are the drawn, without replacement, what is the probability that all 4 have a even number written on it?
Choices:
1/10
1/8
1/42
5/9
Answer: C
Question: If a man crosses a 800 m long street in 5 minutes. What is his speed?
Choices:
7.1 km/hr
7.2 km/hr
8 km/hr
9.6 km/hr
Answer: D
Question: A number exceeds by 40 from its 3/8 part. Then the number is?
Choices:
B)24
C)64
D)40
E)45
Answer: B
Question: 1/0.06 is equal to
Choices:
16.7
25
.25
None of these
Answer: A
Question: AQ + CD = AAA, where AQ and CD are two-digit numbers and AAA is a three digit number; A, Q, 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 sum of three consecutive numbers is 87. The greatest among these three numbers is :
Choices:
24
26
30
44
Answer: C
Question: P and Q started a business investing Rs 50000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
Choices:
17:3
10:6
17:7
10:3
Answer: D
Question: Having scored 98 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?
Choices:
27
26
22
24
Answer: B
Question: Bradley owns b video game cartridges. If Bradley’s total is one-eighth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
35b / 4
37b / 4
39b / 4
41b / 4
Answer: B
Question: What is 2 3/4 - 1 2/5 divided by 2/3 - 1/3 ?
Choices:
36/17
7/6
27/20
51/44
Answer: C
Question: There are 4 magazines lying on a table; 2 are fashion magazines and the other 2 are sports magzines. If 1 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Choices:
1/2
1/4
1/6
1/8
Answer: A
Question: We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $373. How many math books did we buy?
Choices:
27
31
35
39
Answer: A
Question: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference W between n and m?
Choices:
3
5
7
9
Answer: A
Question: Joan and Karl each bought a TV and the sum of their purchases was $500. If twice of what Joan paid was $40 more than what Karl paid, what did Joan pay for her TV?
Choices:
$170
$175
$180
$185
Answer: C
Question: Sakshi can do a piece of work in 20 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Choices:
16
18
25
10
Answer: A
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Choices:
500
800
570
503
Answer: A
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.9
1.6
1.5
1.1
Answer: C
Question: Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer T between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Choices:
15
17
T=18
20
Answer: C
Question: How many of the integers between 45 and 105 are even ?
Choices:
30
11
10
9
Answer: A
Question: John takes 15 hours to complete a certain job, while Bill takes only 5 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
Choices:
2 hours, 40 minutes
3 hours, 20 minutes
3 hours, 45 minutes
4 hours, 10 minutes
Answer: A
Question: A manâ€™s current age is (2/5) of the age of his father. After 5 years, he will be (1/2) of the age of his father. What is the age of father at now?
Choices:
25
38
50
39
Answer: A
Question: If the numbers 1 to 97 are written on 97 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Choices:
1/25
1/97
1
2
Answer: B
Question: Express 30 mps in kmph?
Choices:
108
110
150
100
Answer: A
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
19 cm
32 cm
18 cm
28 cm
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Euro 1000 more than D, what is B's share?
Choices:
Euro 1500
Euro 2000
None of these
Cannot be determined
Answer: B