antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 10 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
Choices:
0.6
1
1.2
2
Answer: B
Question: There are 3 kids in a family-Anna, Peter and Maria. Anna can clean the house
for 1 hour, Peter can do the same job for 3 hours and Maria needs 6 hours.
How much time do they need to work to finish the same cleaning if they do it
together?
Choices:
40min
30min
50min
60min
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $9. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
90xy
xy/90
xy/10
81/(xy)
Answer: D
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Choices:
30 cm2
17 cm2
18 cm2
12 cm2
Answer: A
Question: In the class of 100 students, 70 speak Tamil and 70 speak Telugu. What is the lowest possible number of students who
speak both the languages?
Choices:
B)10
C)20
D)30
E)40
Answer: D
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:
153600
151299
153129
152109
Answer: A
Question: Pipe A can fill a tank in 4 hours, pipe B in 8 hours and pipe C in 24 hours. If all the pipes are open,in how many hours will the tank be filled ?
Choices:
2.4
3.4
2.5
3
Answer: A
Question: Lexy walks 5 miles from point A to point G in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
Choices:
80
120
160
180
Answer: C
Question: Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold four times as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold four times as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
Choices:
Bob
Cary
Dora
Ellen
Answer: B
Question: What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?
Choices:
276
230
225
245
Answer: A
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
17
13
10
12
Answer: C
Question: A certain series is defined by the following recursive rule: Sq=K(Sq-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
Choices:
ROOT 3
64*ROOT 3
64*3^1/3
64*3^24
Answer: C
Question: If YWVSQ is 25 - 24 - 21 - 19 - 17, Then MLIGF
Choices:
13 - 11 - 9 - 7 - 8
13 - 11 - 9 - 7 - 7
13 - 11 - 9 - 7 - 3
13 - 11 - 9 - 7 - 1
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
Choices:
28 sec
25 sec
45 sec
24 sec
Answer: A
Question: At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 11. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. How many cooks does the restaurant have?
Choices:
6
9
12
15
Answer: C
Question: There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
Choices:
21
33
60
6
Answer: A
Question: At a particular pizza shop, a pizza can be created from any combination of 3 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
Choices:
35
120
450
740
Answer: C
Question: A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three tubes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).
Choices:
0.25
0.27
0.28
0.29
Answer: A
Question: A man can row downstream at the rate of 16 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?
Choices:
11,5
9,3
6,6
None of these
Answer: A
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much? Look at this series: 5, 43, 15, 33, 25, ...What number should come next?
Choices:
40
23
13
20
Answer: B
Question: If x/|y| = -sq. root 25 which of the following must be true?
Choices:
x^2 = 25 * y^2
x = y^2
x^2 = y^2
x^3 = y^3
Answer: A
Question: If x, y, and z are positive integers and x = 14y = 7z, then the least possible value of x + y + z is
Choices:
40
49
61
17
Answer: D
Question: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
3 hrs 48 min
3 hrs 25 min
3 hrs 85 min
Answer: A
Question: A circular path of 25 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.40.15
Rs.124.93
Rs.42.53
Rs.43.66
Answer: B
Question: When 4 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
Choices:
81
60
120
11
Answer: C
Question: If 4 people are selected from a group of 10 married couples, what is the probability that none of them would be married to each other?
Choices:
2/63
1/3
43/62
11/12
Answer: C
Question: (8^15)+(16^13)+(4^24) = ?
Choices:
(4)*(2^29+1)
(9)*(2^49)
(28)*(2^53)
2^148
Answer: A
Question: A company has 3 directors and 5 managers. How many different committees with 4 people can be chosen having at least 1 director?
Choices:
720
4500
25
65
Answer: D
Question: . A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
1/9
5/9
6/4
7/15
Answer: B
Question: Find the odd man out, 4, 9, 25, 35, 36, 64
Choices:
35
36
None of these.
All of these.
Answer: A
Question: What least number must be subtracted from 13294 so that the remainder is exactly divisible by 97?
Choices:
5
7
9
10
Answer: A
Question: The greatest number by which the product of three consecutive multiples of 5 is always divisible is
Choices:
750
152
162
None of these
Answer: A
Question: During a certain week, a seal ate 55% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Choices:
40
55
64
80
Answer: D
Question: Of the votes cast on a certain proposal, 58 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
Choices:
245
260
275
290
Answer: D
Question: There are certain diamonds in a shop.
1 thief stole half of diamonds and 2 more.
2 thief stole half of remaining and 2 more
3 same as above
4 same as above.
5 came nothing was left for that.how many diamonds was there??
Choices:
60
70
80
90
Answer: A
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is Z?
Choices:
50+3Z/100
50+Z/40
100+Z/50
100+3A/100
Answer: B
Question: A bus trip of 280 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip?
Choices:
35
45
50
55
Answer: A
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number W?
Choices:
80
40
120
160
Answer: A
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
Rs.9670
Rs.9780
Rs.9682
Rs.9680
Answer: D
Question: A man can row 5 kmph in still water. When the river is running at 2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.7
5.76
4.2
5.71
Answer: C
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
6 cm
2 cm
5 cm
9 cm
Answer: D
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 30 cm?
Choices:
570 cm2
285 cm2
178 cm2
176 cm2
Answer: A
Question: A is twice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by A alone to finish the work is :
Choices:
24 days
46 days
16 days
14 days
Answer: A
Question: How many positive integers H between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Choices:
16
75
24
26
Answer: D
Question: A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10% unleaded petrol. What quantity of leaded petrol should be added to 1 ltr mixture so that the percentage of unleaded petrol becomes 5%?
Choices:
1000 ml
1900 ml
1800 ml
None of these
Answer: A
Question: In order to obtain an income of Rs. 680 from 10% stock at Rs. 120, one must make an investment of
Choices:
8160
2368
1987
2732
Answer: A
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 57. What is that number
Choices:
5
12
14
15
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.1
2.5
2.4
2.7
Answer: B
Question: The least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3 is :
Choices:
13
23
33
43
Answer: B
Question: 5 identical snow plows can clear an iced parking lot in 2 hours. How long would it take 6 such snow plows to clear the same parking lot?
Choices:
1 hour, 20 minutes
3 hours
7 hours, 30 minutes
10 hourss
Answer: A
Question: 180 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?
Choices:
10~20
35~45
65~75
85~95
Answer: C
Question: A certain car can travel 40 minutes on a gallon of gasoline at 70 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Choices:
30%
25%
20%
40%
Answer: C
Question: A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.
Choices:
20%
25%
28%
34%
Answer: A
Question: There are 7 baskets numbered from 1 to 7 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
Choices:
120
250
720
910
Answer: C
Question: Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
Choices:
40 min
35 min
20 min
50 min
Answer: A
Question: A bat is bought for Rs.450 and sold at a gain of 20% find its selling price
Choices:
s.480/-
s.400/-
s.540/-
s.600/-
Answer: C
Question: Sandy is younger than Molly by 6 years. If their ages are in the respective ratio of 7:9, how old is Molly?
Choices:
24
27
36
45
Answer: B
Question: (51+52+53+………+100) is equal to:
Choices:
2975
3225
3775
3885
Answer: C
Question: The height of cylinder is 14 Cm and its diameter is 10 Cm. The volume of the cylinder is:
Choices:
2200
5500
1100
3300
Answer: C
Question: A diner is having lunch at a salad bar. There are two types of lettuce to choose from, as well as three types of tomatoes, and four types of olives. If the diner picks one type of lettuce, one type of tomato, and one type of olive for the salad, how many total options does the diner have for the salad?
Choices:
11
24
48
54
Answer: B
Question: How many consecutive zeros are there at the end of 100! (100 factorial) ?
Choices:
22
23
24
25
Answer: C
Question: Find the area of a parallelogram with base 32 cm and height 22 cm?
Choices:
284
704
640
920
Answer: B
Question: The average of squares of first 11 consecutive even numbers is:
Choices:
174
184
194
204
Answer: B
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.1 per sq m?
Choices:
575, Rs.675
1350, Rs.675
1450, Rs.775
1550, Rs.875
Answer: A
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 35% nuts, what percent of the combined mixture is dried fruit?
Choices:
52.8%
55.5%
58.3%
61.4%
Answer: C
Question: A military commander has to choose 4 soldiers out of a company of 7 for guarding the headquarters. How many different group combinations of 4 does he have to choose from?
Choices:
15
16
27
35
Answer: D
Question: Line Q has the equation 5y – 3x = 30. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
Choices:
22
36
41
58
Answer: A
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 42 more. What was his original selling price?
Choices:
$660
$700
$1100
$840
Answer: A
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 18 years. What is Deepak present age?
Choices:
15
77
9
182
Answer: C
Question: Two men start from opposite banks of a river . They meet 340 meters away from one of the banks on forward journey. After that they meet at 170 meters from the other bank of the river on their backward journey. What will be the width of the river (in meters)?
Choices:
850
900
980
950
Answer: A
Question: The price of sugar is increased by 9%. By how much percent should a home maker reduce her consumption of sugar to have no extra expenditure?
Choices:
(107/100) %
(900/109)%
(7/100)%
(100/700)%
Answer: B
Question: A man buys an article for 16% less than its value and sells it for 16% more than its value. His gain or loss percent is:
Choices:
20% profit
less than 35% profit
more than 35% profit
None
Answer: C
Question: Currently apples cost 60 cents/pound. Due to a disease affecting the apple trees it is expected that next month apples will cost 200% more than they do currently. How much are apples expected to cost next month?
Choices:
150 cents /pound
160 cents /pound
180 cents /pound
170 cents /pound
Answer: C
Question: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Renee will win or draw?
Choices:
2/3
1/2
5/12
1/3
Answer: A
Question: The owner of a furniture shop charges his customer 15% more than the cost price. If a customer paid Rs. 5750 for a computer table, then what was the cost price of the computer table?
Choices:
2699
2670
6725
5000
Answer: D
Question: Which of the following is the lowest positive integer that is divisible by 4, 5, 6, 7, 8, 9, and 10?
Choices:
1950
2230
2520
2870
Answer: C
Question: The sum of three consecutive even numbers is 60. Find the middle number of the three?
Choices:
60
18
70
45
Answer: A
Question: In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 3 Ohms and y is 5 Ohms?
Choices:
15/8
5/8
7/15
8/15
Answer: A
Question: sale of Rs 6835, Rs. 9927, 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, 6600 ?
Choices:
5591
2877
2676
1881
Answer: A
Question: If 90 percent of 600 is 50 percent of x, then x=?
Choices:
1000
1080
1020
1200
Answer: B
Question: A Person X started at 3 hours earlier at 40km/h from a place P, then another person Y followed him at 60km/h. Started his journey at 3 O'clock, afternoon. What is the diference in time when X was30 km ahead of Y and when Y was 30 km ahead of X?
Choices:
3h
6h
3h
1h
Answer: A
Question: A grocer has a sale of Rs. 5124, Rs. 5366, Rs. 5808, Rs. 5399 and Rs. 6124 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5400?
Choices:
4579
5579
5679
5779
Answer: A
Question: A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Choices:
12:24:28
20:22:12
20:49:64
None of these
Answer: C
Question: Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 250 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.06
0.006
0.0006
6.0e-05
Answer: B
Question: The diagonals of a rhombus are 11 cm and 16 cm. Find its area?
Choices:
266
150
88
212
Answer: C
Question: The average of temperatures at noontime from Monday to Friday is 60; the lowest one is 45, what is the possible maximum range of the temperatures?
Choices:
25
40
45
75
Answer: D
Question: 20-3*5^2+15 = ?
Choices:
-40
-73
13
None
Answer: A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
44 sec
49 sec
60 sec
Answer: A
Question: I have an amount of Rs 10 lakh, which I went to invest in stocks of some companies. I always invest only amounts that are multiples of Rs 1 lakh in the stock of any company. If I can choose from among the stocks of five different companies, In how many ways can I invest the entire amount that I have?
Choices:
250
1001
1089
None
Answer: B
Question: Which of the following is closer to √0.5+√0.1?
Choices:
0.7
0.9
1.0
1.2
Answer: C
Question: How long will it take for a sum of money to grow from Rs.2000 to Rs.10,000, if it is invested at 10% p.a simple interest?
Choices:
64 years
72 years
40 years
None
Answer: C
Question: A can do a work in 5 days. B is 50% more efficient than A. How many days does B alone take to do the same job?
Choices:
13/3
11/2
9/4
10/3
Answer: D
Question: Mike and Emily need to build 2 identical houses. Mike, working alone, can build a house in 6 weeks. Emily, working alone, can build a house in 8 weeks. To determine who will do the building they will roll a fair six-sided die. If they roll a 1 or 2, Mike will work alone. If they roll a 3 or 4, Emily will work alone. If they roll a 5 or 6, they will work together and independently. What is the probability both houses will be completed after 7 weeks?
Choices:
1/3
1/2
2/3
1
Answer: A
Question: Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?
Choices:
5555
10C5 * 5!
10C5∗5510C5∗55
510
Answer: B
Question: A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 14cm , find the rise in water level?
Choices:
12.05cm
11.25cm
15.12cm
20.62cm
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
267
245
277
211
Answer: B
Question: How many arrangements of the letters of the word SPECIAL can be made, without changing the place of the vowels in the word?
Choices:
24
28
32
34
Answer: A
Question: Juan is a gold medalist in athletics. In the month of May, if Juan takes 9 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11x/y
9x/y
12x/y
13x/y
Answer: B
Question: The Arnolds purchased 550 square feet of Kentucky Gem sod at $1.69 per square foot and 270 square feet of Zelzea Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
Choices:
$1.59
$1.68
$1.72
$1.76
Answer: A
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
22 sec
18 sec
10 sec
12 sec
Answer: C
Question: If a, b, r are integers, 33 = abr, and a < b < r, what is the smallest possible value of a?
Choices:
-33
1
3
11
Answer: A
Question: 15.06 * 0.00001 = ?
Choices:
0.0001506
0.01506
0.1506
None of these
Answer: A
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/6, then what is the value of abc/def ?
Choices:
27/8
3/4
3/8
1/4
Answer: D
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 7/7%
11 1/9%
71 1/9%
11 1/2%
Answer: B
Question: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is?
Choices:
2877
278
480
288
Answer: C
Question: There are 3 red chips and 3 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Choices:
B)12
C)24
D)60
E)200
Answer: D
Question: If a: b :: 3 : 7, then what is (5a+6b): (a-b)?
Choices:
-57:4
11 : 10
-11 : 10
-1 : 10
Answer: A
Question: Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (a,q). If q = 2, which of the following could be the equation of line m, which is perpendicular to line L?
Choices:
2x + y = ax + 7
x + 2y = ax + 7
y – 7 = x ÷ (a – 2)
2x + y = 7 – ax
Answer: A
Question: Seven children — A, B, C, D, E,— are going to sit in seven chairs in a row. The children CE have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
720
48
4320
4800
Answer: B
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Choices:
3:3
3:4
3:1
3:2
Answer: B
Question: A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $120,000 and variables costs averaging $8 per item. If the manufacturer’s selling price per item is $12, how many items the manufacturer produce and sell to earn an annual profit of $140,000?
Choices:
18,667
21,429
35,000
65,000
Answer: D
Question: A can go round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, then the time required by A to go round the new path once, travelling at the same speed as before is
Choices:
35 min
50 min
70 min
none
Answer: B
Question: In a jar there are 20 white balls, 24 green balls and 32 blue balls. How many balls must be taken out in order to make sure we have 22 balls of the same color?
Choices:
b)	46
c)	57
d)	63
e)	67
Answer: C
Question: Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
Choices:
534
457
567
512
Answer: D
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
Choices:
528
567
872
623
Answer: A
Question: The variable x is inversely proportional to the square of the variable y. If y is divided by 5a, then x is multiplied by which of the following?
Choices:
b. 1/25a^2
1/5a
25a
25a^2
Answer: D
Question: If the terms of a series are either2or24and the sum of all the terms G of the series is 124, then which of the following could be the number of2sin the series?
Choices:
26
35
40
48
Answer: A
Question: A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 820 in 4 years. The
rate on interest per annum is.
Choices:
5.0%
2.5%
7%
8%
Answer: B
Question: Consider a sequence of numbers given by the expression 7 + (q - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
Choices:
1636
16360
16000
15360
Answer: B
Question: Find all integers x NOT EQUAL TO 3 such that X-3|X^3-3
Choices:
-21,-9,-5,-3,-1,0,1,2,4,5,6,7,9,11,15,27
1
6
-1,0,1
Answer: A
Question: How long does a train 140 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
13.6 sec
17.9 sec
16.8 sec
14.9 sec
Answer: A
Question: a is what percent of b percent of c, in terms of a, b and c?
Choices:
10^4*a/bc
bc*10^4
1/abc
abc/1000
Answer: A
Question: A 20 kg metal bar made of alloy of tin and silver lost 2 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?
Choices:
2/5
1/2
3/5
2/3
Answer: D
Question: A and B together invested Rs. 10,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 800. A's investment was
Choices:
s. 6,000
s. 10,500
s. 11,250
s. 12,250
Answer: A
Question: Mrs. Peter got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$145
$112
$214
$321
Answer: A
Question: In a box there are 5 red balls and 6 blue balls. What is the probability of drawing at least one red ball when drawing 3 consecutive balls randomly?
Choices:
164/165
256/259
98/103
115/217
Answer: A
Question: if 28 is divided into two parts such that one fourth of the greater part is equal to one third of the lesser part,then the greater part is
Choices:
16
20
22
24
Answer: A
Question: The sum of seven numbers is 235. The average of the first three is 23 and that of the last three is 42. The fourth number is
Choices:
40
69
195
None
Answer: A
Question: How many multiples of 5 are there between 5 to 90?
Choices:
16
17
none of these
Cannot be determined
Answer: A
Question: A store has 10 bottles of juice, including 6 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 4 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
Choices:
3/5
2/3
1/2
3/7
Answer: D
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 65 other employees of Company K, how many employees does Company K have?
Choices:
260
190
200
400
Answer: A
Question: What is the minimum percentage increase in the mean of set G {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
Choices:
50%
75%
100%
200%
Answer: C
Question: Which of the following CANNOT be a product of two distinct positive integers a and b?
Choices:
b
3b + 2a
b - a
ba
Answer: C
Question: How many paying stones, each measuring 2 m * 1 m are required to pave a rectangular court yard 30 m long and 16 m board?
Choices:
240
26
17
12
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.150 is required to paint the floor at the rate of Rs. 2 per sq m, then what would be the length of the floor?
Choices:
15
18
16
14
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
9
8
65
4
Answer: A
Question: The successive discounts 20% and 15% are equal to a single discount of?
Choices:
38%
32%
29%
None of these
Answer: B
Question: Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Choices:
32.5%
30%
45%
37.5%
Answer: D
Question: A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
3ft. 7 inches
4ft. 7 inches
2ft. 7 inches
1ft. 7 inches
Answer: C
Question: Tanya prepared 3 different letters to 2 different addresses. For each letter, she prepared one envelope with its correct address. If the 2 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: B
Question: Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
Choices:
9/25
9/26
9/24
9/21
Answer: A
Question: The average mark of 10 students is 80%. Later it was found that for one student, instead of 60%, the recorded 90%, by mistake. Now the corrected new percentage?
Choices:
66
77
88
99
Answer: B
Question: A box contains ELEVEN bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good
Choices:
65/66
69/66
64/66
61/66
Answer: A
Question: In a renowned city, the average birth rate is 6 people every two seconds and the death rate is 2 people every two seconds. Estimate the size of the population net increase that occurs in one day.
Choices:
172,800
468,830
338,200
259,200
Answer: A
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 9600 ?
Choices:
13
14
18
16
Answer: D
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
243
270
290
292
Answer: B
Question: From the given equation find the value of x: xÂ²-18x+45
Choices:
-15
-3
14
15
Answer: D
Question: The equation x = 2y^2 + 5y - 19, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Choices:
y - 3x - 11 = 0
-3x + y - 20 = 0
-2x - y - 7 = 0
-3x + y + 13.5 = 0
Answer: B
Question: An article is bought for Rs.600 and sold for Rs.900, find the gain percent?
Choices:
50%
33 1/3%
93 1/3%
33 1/3%
Answer: A
Question: How many integers between 50 and 100 can be evenly divided by neither 3 nor 5?
Choices:
25
26
27
28
Answer: B
Question: If e<0, which of the following must be true?
Choices:
e ≤ –1
e ≤ 1
e^2 ≥ 1/4
–100 < e < 0
Answer: B
Question: A train 200 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
354 m
450 m
350 m
300 m
Answer: D
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.900 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
10000
12019
12197
12012
Answer: A
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
73.9 litres
63.0 litres
93.7 litres
23.8 litres
Answer: A
Question: The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.40, in which year will commodity X cost 80 cents more than the commodity Y?
Choices:
2011.
2012.
2013.
2014.
Answer: A
Question: Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 2/9 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
3/5
4/13
8/29
6/33
Answer: A
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 50 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/25
1/250
1/900
Answer: C
Question: The largest two digit number which is a perfect cube, is:
Choices:
36
49
64
81
Answer: C
Question: A certain candy store sold lollipops for $0.90 each and pieces of individually wrapped saltwater taffy for $0.20 each. If a customer purchased both lollipops and taffy from the store, and spent a total of $3.90, what total number of lollipops and saltwater taffy did the customer purchase?
Choices:
7
8
9
10
Answer: C
Question: A train takes 10 sec to pass a signal post and covers a distance of 10 km in 15 min. Find the length of train?
Choices:
223.1 m
111.1 m
120.3 m
133.4 m
Answer: B
Question: In N is a positive integer less than 200, and 2N/108 is an integer, then N has how many different positive prime factors?
Choices:
3
5
6
8
Answer: A
Question: A salt manufacturing company produced a total of 100 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
650
750
800
725
Answer: A
Question: If a and b are positive integers such that a/b = 5.75, which of the following must be a divisor of a
Choices:
5
4
1
7
Answer: C
Question: If 213 × 16 = 3408, then 1.6 × 2.13 is equal to :
Choices:
3.408
34.08
340.8
None of these
Answer: A
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 457?
Choices:
26.4%
20%
19%
None of these
Answer: A
Question: Which of the numbers below is the odd one out
1,4,10,19,21,31,46.
Choices:
21
10
19
31
Answer: A
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 62, and standard deviation of the distribution is 6.5. A student scoring a 78 on the exam is in what percentile of the school?
Choices
Choices:
68th percentile
84th percentile
96th percentile
98th percentile
Answer: B
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent E should the number of hours worked be increased?
Choices:
20%
25%
50%
100%
Answer: B
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.76
157.5
157.57
157.87
Answer: B
Question: Four dice are thrown simultaneously. Find the probability that all of them show the same face.
Choices:
1/216
1/217
2
2/215
Answer: A
Question: If x^4 + y^4 = 650, then the greatest possible value of x is between:
Choices:
2 to 3
3 to 4
5 to 6
7 to 8
Answer: C
Question: If * stands for /, / stands for -, + stands for * and - stands for +, then
9/8*7+5-10 = ?
Choices:
13.3
10.7
11.4
12.5
Answer: A
Question: Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
Choices:
150
190
110
140
Answer: D
Question: If a and b are nonzero integers such that 2a/5 = b, then each of the following must be true EXCEPT
Choices:
ab is positive.
On the number line, b lies between 0 and a.
The ratio of a to b is equivalent to 10/4.
a – b is positive.
Answer: D
Question: If log10 2 = 0.3010, then log2 10 is equal to:
Choices:
0.301
699/301
none of these
1000/301
Answer: D
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
Rs.282
Rs.739
Rs.400
Rs.538
Answer: C
Question: A 2-digit number is such that the product of the digits plus the sum of the digits
is equal to the number. What is the units digit of the number?
Choices:
3
5
7
9
Answer: D
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
66 ways
30 ways
56 ways
43 ways
Answer: B
Question: (935421 x 625) = ?
Choices:
584638125
584649125
585628125
None of these
Answer: A
Question: 2,3,5,8,13,21,34,?
Choices:
58
55
54
56
Answer: B
Question: one person Tharak speed with the current is 10 km/hr and the speed of the current is 3 km/hr. Tharak's speed against the current is:
Choices:
1 km/hr
2 km/hr
3 km/hr
4 km/hr
Answer: D
Question: The price of electricity in the area where the Smith family lives is scheduled to increase by 20% next year. Since the Smith family cannot afford an increase in their electric bill, how much will they have to reduce consumption to keep their cost the same?
Choices:
25%
16.7%
20%
None
Answer: B
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability T of generating an odd prime digit is between
Choices:
1/6 and 1/3
1/3 and 1/2
1/2 and 2/3
2/3 and 5/6
Answer: A
Question: When integer Q is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3l
II. 4l+10
III. 5l
IV. 2l
V .6l
Choices:
II
IV
V
III
Answer: D
Question: Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 80, what is his shoe size?
Choices:
80
75
40
50
Answer: A
Question: The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from c to d, inclusive, where 0<c<d?
Choices:
d(d+1)/2 - c(c+1)/2
d(d+1)/2 - (c-1)c/2
(d-1)d/2 - (c+1)(c+2)/2
(d-1)d/2 - c(c+1)/2
Answer: B
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
Choices:
4/9
6/7
1/2
9 3/5
Answer: D
Question: Calculate how many men are needed to finish a specific task in 15 days if it will take 60 men to complete the same task in 80 days. ?
Choices:
323
310
320
221
Answer: C
Question: A certain country is divided into 8 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/12 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?
Choices:
1/3
1/2
2/3
3/5
Answer: D
Question: Solve the equation for x : 6x - 47 + 3x = 4 + 9 - x
Choices:
5
7
9
6
Answer: D
Question: If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining 3 1/2 cm is blue, find the total length of the pencil.
Choices:
9
8
6
5
Answer: B
Question: There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 17 take only Biology, 10 take only Calculus, 9 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?
Choices:
32
36
48
62
Answer: D
Question: 65% of a number is 21 less than 4/5th of that number. What is the number?
Choices:
120
140
130
115
Answer: B
Question: A train crosses a platform of 350 m in 15 sec, same train crosses another platform of length 500m in 20 sec. then find the length of the train?
Choices:
100m
159m
250m
152m
Answer: A
Question: P has $63 more than what Q and R together would have had if both B and C had 1/9 of what P has. How much does P have?
Choices:
$72
$75
$78
$81
Answer: D
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
19 days
22 days
20 days
18 days
Answer: D
Question: In the next Cricket World Cup T-20, Team R has decided to score 200 runs only through 4s and 6s. In how many ways can the Team R score these 200 runs?
Choices:
15
16
17
18
Answer: C
Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, four orange ice pops, and five lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
17/33
27/44
37/55
47/66
Answer: D
Question: The sum of all consecutive odd integers from −19 to 29, inclusive, is
Choices:
125
150
175
235
Answer: A
Question: In how many ways Chief Minister and Minister be elected from a team of 8 members?
Choices:
56
50
58
60
Answer: A
Question: What is the place value of 8 in the numeral 8729
Choices:
8000
3500
3000
4000
Answer: A
Question: Claire has a total of 80 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
Choices:
50
54
57
36
Answer: D
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 is?
Choices:
16
77
88
11
Answer: A
Question: Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long E would it take Victor to complete 10 jobs without any supervision?
Choices:
52
60
70
92
Answer: B
Question: A monkey start climbing up a tree 18 ft tall.Each hour it hops 3 ft and slips back 2 ft. How much time would it take the monkey to reach the top.
Choices:
18 hrs
19 hrs
17 hrs
16 hrs
Answer: D
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 120 games will be played during the tournament. Find the number of participants.
Choices:
16
17
18
19
Answer: A
Question: A wolf eats 5.5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in two days?
Choices:
9.
8.
7.
6.
Answer: C
Question: A sum of money when distributed among friends is in the ratio of 3:4:5, if the amount is the larger 3digit number divisible by 24, what is the share of 3rd person?
Choices:
410
420
430
440
Answer: A
Question: The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?
Choices:
4x
5x
12x
27x
Answer: B
Question: A computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Choices:
3.00.
4.5.
5.225.
6.25.
Answer: A
Question: S(n) is sum of first n natural numbers, Z(n) = 2S(n)+41, lowest value of n such that Z(n) is NOT a prime.
Choices:
6
40
always a prime
none
Answer: B
Question: A boat can travel with a speed of 14 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 72 km downstream.
Choices:
3.6 hr
8.25 hr
2.25 hr
2.50 hr
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 5 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
36:23
18:10
18:14
14:11
Answer: A
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 4 days?
Choices:
1/6
1/4
1/9
2/9
Answer: D
Question: 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series
Choices:
3125
3126
3127
3128
Answer: B
Question: How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
20s
25s
30s
35s
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 4
4:3
None of these
Answer: A
Question: A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:
Choices:
emptied in 12 min
filled in 8 min
emptied in 8 min
emptied in 10 min
Answer: C
Question: Walking with 4/5 of my usual speed, I miss the bus by 7 minutes. What is my usual time?
Choices:
26 min
28 min
20 min
12 min
Answer: B
Question: If the S.P of Rs. 36 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?
Choices:
s. 30
s. 31
s. 32
s. 33
Answer: C
Question: A constructor estimates that 4 people can paint Mr.. Rajeev's house in 5 days. If he uses 5 people instead of 4,how long will they take to complete the job?
Choices:
8
1
3
4
Answer: D
Question: How many numbers up to 500 are divisible by 23?
Choices:
76
21
23
25
Answer: B
Question: How long does a vehicle 150 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?
Choices:
21.6
26.5
26.1
56.2
Answer: A
Question: There are 7 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?
Choices:
15120
15609
15680
None of these
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
67 sec
98 sec
36 sec
32 sec
Answer: D
Question: If a(a + 5) = 36 and b(b + 5) = 36, where a ≠ b, then a + b =
Choices:
−5
2
46
48
Answer: A