antoine-444/aqua_rat_dataset huggingface dataset:
Question: A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Choices:
20
21
25
24
Answer: B
Question: The average age of father and his two sons is 22 Years. Five years ago, the average age of the two sons was 19 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
Choices:
18
47
48
49
Answer: A
Question: If a boat goes 9km upstream in 108 minutes and the speed of the stream is 2 kmph, then the speed of the boat in still water is ?
Choices:
6
7
8
9
Answer: B
Question: What is the difference between the place value of 2 in the numeral 7229?
Choices:
165
180
190
200
Answer: B
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?
Choices:
39
50
29
28
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
Choices:
798
698
699
998
Answer: B
Question: Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations Q of classes are available?
Choices:
6
Q=7
Q=9
Q=12
Answer: C
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
Choices:
51.47
51.49
53
54.68
Answer: D
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choices:
17
66
13
57
Answer: C
Question: A certain car averages 30 miles per gallon when driving in the city and 35 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
Choices:
34
33
36
38
Answer: A
Question: What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
Choices:
33
46
56
75
Answer: B
Question: Everyone in the class was supposed to bring at least pencil with them to the exam. There are 30 people in the class. If 5 people brought 1 pencil, 18 brought 2, and 6 brought 3 or more, how many people forgot to bring a pencil?
Choices:
1
2
3
4
Answer: A
Question: The number of diagonals of a polygon of n sides is given by the formula v=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Choices:
5
6
7
8
Answer: A
Question: 109 × 109 + 91 × 91 = ?
Choices:
20162
13032
18662
None of these
Answer: A
Question: If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
Choices:
120
140
150 miles
160
Answer: C
Question: Using all the letters of the word "MONDAY", how many different words can be formed?
Choices:
B)8!
C)8
D)6!
E)3
Answer: C
Question: Five consecutive traffic signals each show either red or green. How many different arrangements of the five signals are possible?
Choices:
32
28
17
6
Answer: A
Question: A student has to obtain 60% of the total marks to pass. He got 160 marks and failed by 20 marks. The maximum marks are?
Choices:
280
300
320
340
Answer: B
Question: By selling an umbrella for Rs. 600, a shop keeper gains 700%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
833.33
933.33
533.33
433.33
Answer: B
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (8,0) and (8,6). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
2/5
4/7
1/2
7/4
Answer: C
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are possible?
Choices:
74
162
198
202
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 Y?
Choices:
50+3Y/100
50+Y/40
100+Y/50
100+3A/100
Answer: B
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Choices:
2.81%
2.08%
2.01%
3.01%
Answer: C
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Roe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Roe?
Choices:
60
75
90
105
Answer: C
Question: Sum of ages of two friends is 27 while difference is 3 then their ages are
Choices:
17 years, 15 years
17 years, 16 years
12 years, 15 years
None
Answer: C
Question: In a urban village of india named "owlna" , 70% people have refrigerator , 75% people have television , 65% people got computers and 95% got Air-conditionor. how many people(minimum) got all these luxury.
Choices:
5%
3%
9%
15%
Answer: A
Question: If y is a positive number and 1/2 the square root of x is the cube root of y, then y=
Choices:
64
16
4
1
Answer: A
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts Y needed to confirm that each of the 5 keys matches each of the 5 locks?
Choices:
4,15
5,10
4,10
5,20
Answer: C
Question: Find the area of trapezium whose parallel sides are 28 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
299
345
161
212
Answer: B
Question: A number x is 5 times another number y. The percentage that y is less than x is
Choices:
87.5%
80%
11%
1%
Answer: B
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
1500
2789
2776
2881
Answer: C
Question: In an electric circuit, two resistors with resistances 3ohm and 5 ohm are connected in parallel. In this case, if R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of two resistors. What is the value?
Choices:
15/8 ohms
1/8 ohms
8/15 ohms
8 ohms
Answer: A
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 6 hours?
Choices:
20%
22%
24%
26%
Answer: A
Question: Think of a number, divide it by 5 and add 6 to it. The result is 65. What is the number thought of?
Choices:
77
295
267
29
Answer: B
Question: The true discount on a bill of Rs. 2660 is Rs. 360. What is the banker's discount?
Choices:
Rs. 422
Rs. 416
Rs. 442
None of these
Answer: B
Question: How long will it take for a sum of money to grow from Rs.3000 to Rs.18,000, if it is invested at 5% p.a simple interest?
Choices:
64 years
100 years
56 years
None
Answer: B
Question: What number has a 1:20 ratio to the number 10?
Choices:
1/2
2
1/4
20
Answer: A
Question: A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
Choices:
$200000
$140000
$180000
$250000
Answer: C
Question: Find the greatest common factor (GFC) of 24, 40 and 60.
Choices:
2
3
4
5
Answer: C
Question: If pq = p^3 + q^2 – 2pq, for what value of q is pq equal to p^3 for all values of p?
Choices:
-1
0
1
2
Answer: B
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
7
62
2
Answer: A
Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 630?
Choices:
11
12
13
14
Answer: B
Question: When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [6]*[4] = ?
Choices:
[12]
[45]
[88]
[90]
Answer: A
Question: The difference between a two-digit number and the number after interchanging the position of the two digits is 63. What is the difference between the two digits of the number?
Choices:
7
3
Cannot be determined
None of these
Answer: A
Question: A tree on first day grows 1/2 of its size second day 1/3 of its size on the previous day similarly than 1/4 and so on..U have calculate after how many days the tree will be 100 times of original size.
Choices:
198 days
178 days
168 days
158 days
Answer: A
Question: A committee of 5 is to be selected from among 5 boys and 5 girls. I how many ways can this be done if the committee is to consist of at-least one Girl?
what is the answer choice and how?
Choices:
250
230
350
455
Answer: A
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
70 m
80 m
90 m
Answer: A
Question: The number of arrangements that can be made with the letters of the word LUCK so that the vowels occupy the even places?
Choices:
3
6
1
2
Answer: B
Question: A boatman can row 3 km against the stream in 36 minutes and return in 18 minutes. Find the rate of current ?
Choices:
2.5 kmph
5/2 kmph
1/2 kmph
2/2 kmph
Answer: A
Question: A space shuttle orbits the earth at about 4 kilometers per second. This speed is equal to how many kilometers per hour?
Choices:
14,400
24,200
28,800
48,000
Answer: A
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs. 2(2/9)
Rs. 2(1/9)
Rs. 2(2/7)
Rs. 2(2/5)
Answer: A
Question: There are 16 bees in the hive , then 5 more fly. How many bees are there in all?
Choices:
20
12
17
25
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150
77
166
1812
Answer: A
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 60% of Bima's weight. Dravid weighs 45% of Leela's weight. Leela weighs 25% of Dhoni's weight. Who among these 5 persons weighs the least?
Choices:
Bima
Leela
Dravid
Nameetha
Answer: C
Question: The average weight of 10 persons increases by 6.3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
80 kg
185 kg
90 kg
128 kg
Answer: D
Question: 40, 45, 50, 55, 60, 75, 75, 80, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 20.4, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
Choices:
2
3
4
5
Answer: A
Question: The average of 9 numbers is 23. If each number is increased by 4, what will the new average be?
Choices:
26
27
28
29
Answer: B
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.14 per cubic meter?
Choices:
1386
2890
1485
2780
Answer: A
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:
18
66
55
12
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
Choices:
7.1 hours
7.2 hours
7.3 hours
None of these
Answer: B
Question: Replace the ? by the correct Mathematics symbol to make the expression true
15 ? 3 ? 3 ? 5 = 10
Choices:
15 ÷ 3 x 3 - 5 = 10
15 x 3 + 3 + 5 = 10
15 x 3 ÷ 3 + 5 = 10
15 x 3 ÷ 3 + 6 = 10
Answer: A
Question: The cube root of .000216 is:
Choices:
0.06
0.9
0.2
0.61
Answer: A
Question: Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $108 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?
Choices:
$3200
$6000
$3600
$9600
Answer: C
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
72
26
27
29
Answer: A
Question: How many ways are there to split a group of 8 boys into two groups of 4 boys each? (The order of the groups does not matter)
Choices:
35
43
60
72
Answer: A
Question: A man swims downstream 65 km and upstream 35 km taking 5 hours each time; what is the speed of the current?
Choices:
3
5
7
9
Answer: A
Question: x, a, z, and b are single digit positive integers. x = 1/8 a. z = 1/8 b. (10a + b) – (10x + z) could NOT equal
Choices:
35
49
63
55
Answer: D
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
3 3/5 Km
4 1/5 Km
5 1/5 Km
Answer: A
Question: The average of fifteen results is 593 and that of the first fourteen is 594. The fifteenth result is?
Choices:
602
579
586
592
Answer: B
Question: Sequence A consists of 16 consecutive integers. If -6 is the least integer in sequence A, what is the range of the positive integers in sequence A?
Choices:
15
9
8
7
Answer: C
Question: The entire range of values of x is marked by the dark region on the number line, as shown above. Which of the following expressions describes the range of values of x?
Choices:
(3−x)(2+x) ≥ 0
(x−3)(x+2) ≤ 0
(x+3)(2−x) ≥ 0
(3−x)(2−x) ≥ 0
Answer: C
Question: If n is an integer and n^4 is divisible by 9, which of the following could be the remainder when n is divided by 9?
Choices:
3
5
6
8
Answer: A
Question: An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
Choices:
0.6976
0.7565
1.6465
2.3475
Answer: A
Question: A boat can travel with aspeed of 20km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 125km downstream.
Choices:
2 hrs
3 hrs
4 hrs
5 hrs
Answer: D
Question: Dacid obtained 73, 69, 92, 64 and 82 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
99
88
88
76
Answer: D
Question: what is next no. 11 23 47 83 131 191 263 347 443 551???
Choices:
181
191
201
671
Answer: D
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.9687
Rs.3338
Rs.9632
Rs.9680
Answer: D
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choices:
266
289
300
271
Answer: C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 7350 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
1287
125
988
175
Answer: D
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.12
7.1
7.15
7.11
Answer: C
Question: A dishonest milkman sells a 40 liter mixture of milk and water that contains milk and water in the ratio of 2:3. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
Choices:
3:5
2:3
3:2
5:3
Answer: C
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 13260, how much money did he borrow?
Choices:
13000
2668
2600
2781
Answer: A
Question: The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/5. What is the probability of Michael passing his driving test?
Choices:
4/5.
1/3.
2/3.
2/5
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
90%
27%
22%
Answer: A
Question: What is the value of (P + Q)/(P - Q) if P/Q is 8?
Choices:
2/3
2/6
7/8
9/7
Answer: D
Question: On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Choices:
3
4
5
6
Answer: C
Question: When asked what the time is,a person answered that the amount of time left is 1/5 of the time already completed.what is the time.
Choices:
9
3
8
6
Answer: C
Question: The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 35 cents less than the price of commodity Y?
Choices:
2007
2008
2009
2010
Answer: B
Question: What was the day of the week on 11th March, 2006?
Choices:
Friday
Thursday
Sunday
Saturday
Answer: D
Question: Find the ratio in which wheat of inferior quality (Rs.14/kg) be mixed with wheat of superior quality (Rs.28/kg) so that the shopkeeper gains Rs.2 by selling the resulting mixture at Rs.20/kg.
Choices:
5 : 2
3 : 4
2 : 5
None of these
Answer: A
Question: In a fuel station the service costs $2.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 65 liters and a truck's tank is 140% bigger and they are all empty-?
Choices:
128.9$
243.7$
298.85$
314.45$
Answer: D
Question: 20% of A is B, then B% of 20 is same as what?
Choices:
4% of A
8% of A
1% of A
3% of A
Answer: A
Question: A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum N of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
Choices:
7
9
10
14
Answer: C
Question: 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
Choices:
70%
80%
90%
100%
Answer: B
Question: A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than seven people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
Choices:
2x/35
x/7
3x/20
5x/7
Answer: A
Question: Missing number in the series
4 9 20 43 90 185 376 759 1526 ?
Choices:
3061
3903
3952
3804
Answer: A
Question: Average of five numbers is 12. If one number is excluded the average becomes 10. The excluded number is
Choices:
20
40
30
67
Answer: A
Question: 20 men do a work in 20days. How many men are needed to finish the work in 5days?
Choices:
20
80
10
15
Answer: B
Question: In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 70π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Choices:
400π
280π
200π
20π
Answer: B
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
3882
2661
1234
Answer: A
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 12% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
10%
15%
21%
31%
Answer: C
Question: Can you find the last number in the number sequence given below?
10 : 10 : 20 : 45 : 110 : 300 : ?
Choices:
930
450
330
220
Answer: A
Question: How many seconds will a 450 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
27
42
32
60
Answer: A
Question: A boy has three trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
24 ways
28 ways
18 ways
19 ways
Answer: A
Question: How many number from 11 to 50 are there which are exactly divisible by 7 but not by 3?
Choices:
4
5
6
7
Answer: A
Question: Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 38 square meters. What is the area that is covered with three layers of wallpaper?
Choices:
36 Square Meters
42 Square Meters
83.3 Square Meters
41 Square Meters
Answer: D
Question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Choices:
8 hrs
8 hrs 15 min
8 hrs 25 min
9 hrs
Answer: B
Question: 10^(655) Ã· 10^(652) = ?
Choices:
100
10000
100000
1000
Answer: D
Question: If the sides of a triangle have lengths x, y, and z, x + y = 30, and y + z = 20, then which of the following could be the perimeter of the triangle?
I.	28
II.	36
III.	42
Choices:
II only
I and II only
I and III only
I, II, and III
Answer: A
Question: n is an integer chosen at random from the set
{5, 7, 9, 11 }
p is chosen at random from the set
{2, 6, 10, 14, 18}
What is the probability that n + p = 27 ?
Choices:
0.2
0.25
0.3
0.05
Answer: D
Question: A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes jerry can make using this recipe?
Choices:
5
7
8
9
Answer: A
Question: If x/4 years ago Roger was 21 years old and x/4 years from now he will be 4x years old, how old will he be 5x years from now?
Choices:
35
30
40
70
Answer: D
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.8 kg. The weight of the new student is
Choices:
22 kg
22.4 kg
21 kg
23 kg
Answer: A
Question: What is the lowest positive integer that is divisible by 4 through 6, inclusive?
Choices:
120
82
76
160
Answer: A
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 150. What is the rate of interest per annum?
Choices:
2
10
4
6
Answer: B
Question: If 25 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Choices:
600
250
300
none of these
Answer: C
Question: john bakes 6 cakes for 6 friends. 3 of the friend arrive early and eat 3 cakes each. How many cakes are left over if the other friends all have the same number of cakes?
Choices:
0
2
3
4
Answer: A
Question: Calculate 469200 x 9999 = ?
Choices:
4686970743
4691100843
4586870843
4691530800
Answer: D
Question: Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: A
Question: The length of the bridge, which a train 170 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
157 m
205 m
156 m
167 m
Answer: B
Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Choices:
70 km/hr
79 km/hr
79.2 km/hr
89.2 km/hr
Answer: C
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
2:1
1:7
2:3
Answer: A
Question: What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 7), (x, 7)?
Choices:
121
169
225
441
Answer: B
Question: If a is 50% greater than b, then a is what % less than b?
Choices:
33.33%
66.78%
70.6%
10%
Answer: A
Question: A batsman in his 12th innings makes a score of 55 and thereby increases his average by 1 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
43
44
45
46
Answer: B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480
287
1661
211
Answer: A
Question: The smallest number which when diminished by 4, is divisible by 12, 16, 18, 21 and 28 is
Choices:
1012
1022
1032
1043
Answer: A
Question: A stockiest wants to make some profit by selling sugar. He contemplates about various methods. Which of the following would maximize his profit?
i.	Sell sugar at 10% profit.
ii.	Use 900 g of weight instead of 1 kg.
iii.	Mix 10% impurities in sugar and selling sugar at cost price.
iv.	Increase the price by 5% and reduced weights by 5%.
Choices:
ii
ii, ii and iv
Profits are same
None of these
Answer: A
Question: IF IN A AP SERIES 18TH TERM IS 29 & 29TH TERM IS 18. THEN FIND THE 49TH TERM??
Choices:
-1
-2
1
2
Answer: B
Question: 8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 11th and the 20th terms?
Choices:
335
346
357
368
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:
10
18
16
12
Answer: A
Question: If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Choices:
7
5
4
3
Answer: A
Question: ratio of girl and boys in class is 5:6.if 20 girl leave the class and ratio become 2:3.calculate the no. of boys?
Choices:
120
80
90
none of the above
Answer: A
Question: 1704 x 1704 = ?
Choices:
B)2903616
C)3624316
D)3625116
E)3625216
Answer: A
Question: Consider the set N = {2, 3, 4, ..., 2n + 1}, where n is a positive integer larger than 10005. If O is the average of the odd integers in N and E is the average of the even integers in N then what is the value of O –E?
Choices:
1
8
9
0
Answer: B
Question: A boat can move upstream at 28 kmph and downstream at 50 kmph, then the speed of the current is?
Choices:
6
7
54
11
Answer: D
Question: A dealer buys dry fruits at the rate of ` 100, ` 80 and ` 60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets 20% profit by selling the first two and at last he finds he has no gain or no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?
Choices:
40%
20%
50%
None of these
Answer: A
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 2,450. What was Simran share in the profit?
Choices:
s 1000
s 1,050
s 1,100
s 14,000
Answer: B
Question: If a, f, and c are consecutive even integers and a < f < c, all of the following must be divisible by 4 EXCEPT
Choices:
f + c
ac
(bc)/2
(abc)/4
Answer: A
Question: If 6^t is a factor of (10!)^2, What is the greatest possible value of t ?
Choices:
4
6
8
10
Answer: C
Question: The successive discounts 20% and 15% are equal to a single discount of?
Choices:
58
32
27
21
Answer: B
Question: What is the smallest positive integer x, such that 6000x is a perfect cube?
Choices:
6
36
12
18
Answer: B
Question: The ratio of two quantities is 2 to 5. If each of the quantities is increased by 6, what is the ratio of these two new quantities?
Choices:
5/8
7/13
22/25
It cannot be determined from the information given.
Answer: D
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is ?
Choices:
0.5904
0.5906
0.5904
0.5901
Answer: A
Question: If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 25000 sheets of xerox paper?
Choices:
$1060
$1350
$900
$1000
Answer: A
Question: Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 500 nuts and 500 bolts?
Choices:
500 seconds
750 seconds
2,000 seconds
3,000 seconds
Answer: B
Question: Two trains, traveling towards each other, left from two stations that are 900 miles apart, at 4 pm. If the rate of the first train is 72 mph and the rate of the second train is 78 mph, at whatt time will they pass each other?
Choices:
4
6
8
10
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
268
1200
2877
1681
Answer: B
Question: Find the compound interest on $ 66,000 at 20% per annum for 9 months, compounded quarterly
Choices:
2552.2
9524.32
10403.25
20512.54
Answer: C
Question: 10 t-shirts are available to choose. 5 of them are printed, and 5 of them are plain t-shirts. If 3 t-shirts are to be selected at random from the 10, what is the probability that at least one of them is a printed t-shirt.
Choices:
7/12
5/12
11/12
13/12
Answer: C
Question: All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 152 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
Choices:
1216
1129
2613
1372
Answer: A
Question: A walks at 10 kmph and 4 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Choices:
150km
80km
120km
200km
Answer: B
Question: Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/6 rooms in 4/3 hours. How many hours would it take Albert to paint 3n rooms by himself?
Choices:
9
11
D.13
18
Answer: D
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Thursday at 11 AM, what will be the time at the end of 10 days?
Choices:
11:54:24 AM
12:16:40 PM
11:54:40 AM
12:06:36 PM
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
41
42
34
Answer: A
Question: If the average marks of three batches of 40, 50 and 60 students respectively is 45, 55, 65, what is the average marks of all the students?
Choices:
56.33
23.67
54.65
43.98
Answer: A
Question: a, b are positive integers. The remainder of a to be divided by 5 is 2 and the remainder of b to be divided by 7 is 3.
Which is possible to be the remainder of a*b to be divided by 48
Choices:
b) 6
c) 8
d) 12
e) 20
Answer: A
Question: What is the length of a bridge (in meters), which a train 156 meters long and travelling at 45 km/h can cross in 40 seconds?
Choices:
320
332
344
356
Answer: C
Question: 10 groups have applied for funding from the rec board. After dividing the budget equally among the 10, the rec board finds that there are 4 dollars left over, as funding allocations must be in whole numbers of dollars.
The next semester, the rec board has 4 times as much money to allocate to the 10 groups. How much money will be left over this semester?
Choices:
4
6
8
0
Answer: B
Question: Increasing the original price of a certain item by 15 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent?
Choices:
37.5
50.0
52.5
43.75
Answer: D
Question: Two employees X and Y are paid a total of Rs. 700 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.240.18
s.290.18
s.300.18
s.318.18
Answer: D
Question: Sum of the squares of three numbers is 467 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
27
25
27
29
Answer: A
Question: A train 140 m long is running at 60 kmph. In how much time wiU it pass a platform 260 m long?
Choices:
22sec
23sec
24sec
26sec
Answer: C
Question: Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 6 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
Choices:
5.25 mph
3.5 mph
4 mph
0.5 mph
Answer: B
Question: A charity is raising Â£1000 for disabled children. If it spends Â£20 for every Â£100 raised, how much money do they need to raise to reach the goal?
Choices:
A - 1200
A - 1200
D - 12
155
Answer: B
Question: There are three persons A, B and C when the age of A is added to half of the age of B, the result is equal to C's age. One-third of the age of 'B' is equal to one-fourth of the age of 'C'. If one-fifth of A's age is added to half of B's age, the result is equal to half of C's age. Then what is the age of 'B' ?
Choices:
20 yrs
24 yrs
30 yrs
35 yrs
Answer: B
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony eight hours from now?
Choices:
6,860,000
9,920,000
11,720,000
14,960,000
Answer: B
Question: A train covered a distance at a uniform speed .if the train had been 6 km/hr faster it would have been 4 hour less than schedule time and if the train were slower by 6 km/hr it would have been 6 hrs more.find the distance.
Choices:
720 km
920 km
620 km
780 km
Answer: A
Question: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40, 30 kmph
90, 60 kmph
40, 60 kmph
60, 20 kmph
Answer: D
Question: The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 5 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Choices:
25 km
40 km
50 km
60 km
Answer: A
Question: Three table runners have a combined area of 220 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Choices:
20 square inches
24 square inches
28 square inches
30 square inches
Answer: C
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 4 years older than B the present age of B is
Choices:
38
39
34
41
Answer: C
Question: Jimâ€™s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.4 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.45
$4.80
$5.05
$5.85
Answer: D
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is :
Choices:
45
47
48
49
Answer: A
Question: The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H?
Choices:
1
3
5
8
Answer: A
Question: How many keystrokes are needed to type numbers from 8 to 180?
Choices:
180
325
425
None of these
Answer: C
Question: Peter purchased 30 kg of rice at the rate of $11.50 per kg and 20 kg of rice at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
Choices:
15.3
16.3
19.3
10.12
Answer: B
Question: How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?
Choices:
20 sec
15 sec
23 sec
16 sec
Answer: C
Question: River A and River B have a combined length of 650 miles and River B is 250 miles shorter than river A. How many miles long in river B?
Choices:
200
300
400
not be determined
Answer: A
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Choices:
1/36
1/28
1/29
1/23
Answer: A
Question: Jackson has $313,193 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?
Choices:
$2
$3
$4
$5
Answer: A
Question: The angles of a triangle are in the ratio 2: 3 : 4. Find the measurement of the 3 angles of triangle.
Choices:
25°
40°
80°
20°
Answer: C
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Choices:
98%
96%
06%
92%
Answer: B
Question: The price of a new SUV is $50,000 and you have $10,000 cash to make a down-payment. You will be able to finance the remainder of the balance over 60 months. Regarding the principle only, what percent of the original price of the SUV will you pay monthly?
Choices:
1 %
1 1/3 %
2 %
3 %
Answer: B
Question: Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number Q of defective chips in a shipment of 60000 chips?
Choices:
20
22
24
25
Answer: A
Question: Miguel is 41 years old. He is 3 years older than twice his son’s age. Find the age of his son.
Choices:
12years
13years
18years
19years
Answer: D
Question: The area of a rectangular plot is 20 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
Choices:
10 metres
7.5 metres
Data inadequate
None of these
Answer: A
Question: Q' = 3Q - 3, what is the value of (7')' ?
Choices:
106
206
306
406
Answer: C
Question: In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. If 20% of the ducks in the smaller pond are green and 40% of the ducks in the larger pond are green, then what percentage of ducks are green?
Choices:
27%
29%
31%
33%
Answer: C
Question: People were sitting in a circle.7th one is direct opposite to 18th one..Then how many were there in that group?
Choices:
22
23
24
20
Answer: A
Question: If 3^x = 2, then 3^(4x+3) =
Choices:
454
432
438
108
Answer: B
Question: A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube?
Choices:
4
5
6
7
Answer: B
Question: There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
40
42
45
80
Answer: B
Question: A certain fraction has the same ratio to 1/36, as 4/7 does to 5/9. What is this certain fraction?
Choices:
1/35
1/49
1/56
1/63
Answer: A
Question: A man has some hens and cows. If the number of heads be 50 and the number of feet equals 144, then the number of hens will be
Choices:
24
26
20
28
Answer: D
Question: 34, 45, 56, 67,78, _ ?
Choices:
82
99
89
27
Answer: C
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
Rs.179
Rs.189
Rs.187
Rs.119
Answer: B
Question: A committee of four students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choices:
4
5
6
8
Answer: C
Question: Superman flies at a heroic rate of 10 miles per second- wow! What is his speed in kilometers per hour? [1km = 0.6 miles]
Choices:
12,000
60,000
30,000
120,000
Answer: B
Question: A train met with an accident 90km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
Choices:
55 km/hr
65 km/hr
90 km/hr
48 km/hr
Answer: C
Question: What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.
II. The sum amounts to Rs. 750 in 5 years at S.I.
III. The rate of interest is 5% p.a.
Choices:
II and III only
I and II only
Any two of the three
None of these
Answer: C
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
Choices:
22
17
26
25
Answer: A
Question: A committee is to be formed by randomly choosing 5 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?
Choices:
4/7
5/21
6/21
9/42
Answer: B
Question: What approximate value should come in place of the question mark (?) in the following equation?64.85 Ã— 12.25 â€“ 30.22 Ã— 8.95 = (52 + ?) Ã— 10
Choices:
3.39435
2.39435
0.39435
1.39435
Answer: C
Question: One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the faster pipe is used?
Choices:
11.52
1.25
7.2
9
Answer: D
Question: After decreasing 24% in the price of an article costs Rs.320. Find the actual cost of an article?
Choices:
520
651
525
421
Answer: D
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
19
23
25
26
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:
4
18
6
9
Answer: B
Question: A GOLF BALL HAS DIAMETER EQUAL TO 4.1CM. ITS SURFACE HAS 150 DIMPLES EACH OF RADIUS 2MM (0.2 CM) .CALCULATE TOTAL SURFACE AREA WHICH IS EXPOSED TO SURROUNDINGS ASSUMING THAT THE DIMPLES ARE HEMISPHERCAL.
Choices:
71.62cm2
61.62cm2
51.62cm2
41.62cm2
Answer: A
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?
Choices:
4/3 days
8 days
3 days
9 days
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
77
12
99
12
Answer: B
Question: How many different combinations of clothes can rahul make if he have 2 pairs of pants, 4 shirts, and 3 jackets?
Choices:
18
24
20
15
Answer: B
Question: If x and y are odd integers, which of the following must always be a non-integer?
Choices:
x/y
y/x
xy/2
-xy
Answer: C
Question: A work can be finished in 11 days by forty women. The same work can be finished in eleven days by four men. The ratio between the capacity of a man and a woman is
Choices:
4:1
2:3
3:2
4:5
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
400
378
883
732
Answer: A
Question: A train passes a station platform in 40 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:
279
240
288
300
Answer: D
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsalable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Choices:
280
380
480
580
Answer: C
Question: The ratio of radius of a circle and the side of a square is 2 : 7. Find the ratio of their areas:
Choices:
4 : 7
8 : 77
4 : 49
None
Answer: C
Question: How many members are there between 1 to 100 which are divisible by 9 and the sum of two digits is 9?
Choices:
11
7
9
10
Answer: C
Question: A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
Choices:
225
325
425
550
Answer: C
Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
Choices:
3:5
9:25
16:25
19:25
Answer: B
Question: Fifteen participants are participating in a competition. In how many ways can the first three prizes be won?
Choices:
680
2730
720
620
Answer: B
Question: If x is equal to the sum of the integers from 20 to 40, inclusive, and y is the number of even integers from 20 to 40, inclusive, what is the value of x + y?
Choices:
611
621
631
641
Answer: D
Question: A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $16000 left with him. find salary..
Choices:
$18000
$160000
$1800
None
Answer: B
Question: Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations S of project assignments are possible?
Choices:
1,680
2,340
362,880
592,704
Answer: A
Question: A car travels the first 1/3 of certain distance with a speed of 10km/hr the next 1/3 distance with a speed of 20 km/hr, and the last 1/3 distance with a speed of 10 km/hr. the average speed of the car for the whole journey is?
Choices:
12km/hr
89km/hr
52km/hr
79km/hr
Answer: A
Question: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 125 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
Choices:
400
540
625
840
Answer: C
Question: y =2x^2 +2bx + 512 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
Choices:
-256
-128
-64
-257
Answer: D
Question: Calculate the share of profit made by 2 business partners, who invested $800 and $1200 respectively in a business if the profit made is $600.
Choices:
$240,$2260
$240,$360
$230,$360
$220,$360
Answer: B
Question: What is the average of xx, 2x2x, and 66?
Choices:
x+3
x+2x+2
x+4
2x+5
Answer: B
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 73, what is the value of x?
Choices:
71
85
83
82
Answer: A