antoine-444/aqua_rat_dataset huggingface dataset:
Question: A coin is tossed 4 times. What is the probability that the number of Heads is equal to the number of Tails?
Choices:
1/4
3/8
1/2
9/16
Answer: B
Question: The salary of all officers is increased twice successively by 20%. What is the net percentage increase in their salaries?
Choices:
40%
21%
44%
48%
Answer: C
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 860 in 4 years. The rate of interest per annum is?
Choices:
4%
5%
6 2/3 %
7 1/2%
Answer: D
Question: If (y - 1)(z - 9) +15(z - 9) = 0, then which of the following must be true?
Choices:
y = -4 or z = -3
y = -4 or z = 9
y = 1 and z = 3
y = 1 or z = 3
Answer: B
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
Choices:
17.5 cm2
8.75 cm2
55 cm2
65 cm2
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
Choices:
75
35
45
50
Answer: A
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 12375. What is the share of C?
Choices:
Rs. 3375
Rs. 6750
Rs. 5625
None of these
Answer: A
Question: Ages of two coworkers differ by 26 years. If 8 years ago, the elder one was twice as old the younger one, find their present age
Choices:
14,40
16,42
28,54
34,60
Answer: D
Question: The radius of a semi circle is 6.8 cm then its perimeter is?
Choices:
32.4
22.4
34.9
35.1
Answer: C
Question: A train covers a distance of 11 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
m
m
m
m
Answer: B
Question: In a 1000 m race, A beats B by 90 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
176 m
181 m
159 m
218 m
Answer: B
Question: A train 210 m long passed a pole in 21 sec. How long will it take to pass a platform 310 m long?
Choices:
32
52
74
83
Answer: B
Question: If x2 + kx - 3, is divisible by (x - 1), What is the value of k
Choices:
1
2
-1
0
Answer: B
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 49 hours respectively. The ratio of their speeds is?
Choices:
7:3
4:4
7:8
7:1
Answer: A
Question: What are the last three number of this series 11234783131?
Choices:
191
193
194
195
Answer: A
Question: A mom and dad want to take thier 16 year old daughter, 14 year old son and 7 year old son on a trip to Six Flags. An adult ticket costs $25.50. A child under the age if 12 costs $20.50 and children under 5 are free. There is a promotion to get 15% off of two adult tickets when you buy two adult tickets at full price. How much will it cost the family total including the discount to purchase their tickets?
Choices:
43.35
114.85
107.2
94.35
Answer: B
Question: If a certain sample of data has a mean of 18.0 and the value 26.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Choices:
3.5
3.15
3.85
2.75
Answer: B
Question: A man saves Rs 100 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Choices:
Rs 331.01
Rs 362.02
Rs 362.03
None of these
Answer: A
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
12 sec
10 sec
14 sec
11 sec
Answer: B
Question: 6persons enter a lift on the ground floor of a 9floor apartment. Assuming that each of them independently & with equal probability can leave the lift at any floor beginning with the first, what is the probability that all the 6persons are leaving the lift at different floors?
Choices:
7P6/8^2
8P6/8^6
9P6/8^5
9P6/8^4
Answer: B
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
9
8
7
65
Answer: A
Question: Donovan took a math test and got 35 correct and 11 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
Choices:
67.78%
76.09%
47.78%
97.78%
Answer: B
Question: What distance (in meters) will be covered by a bus moving at 54 km/hr in 15 seconds?
Choices:
200
225
250
275
Answer: B
Question: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 50% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Choices:
33% less than N
equal to N
20% greater than N
25% greater than
Answer: A
Question: Out of three consecutive odd numbers nine times the first number is equal to addition of twice the third number and adding 9 to twice the second . What is the first number?
Choices:
23/25
24/23
22/5
21/5
Answer: D
Question: How many integers between 50 and 200 are there such that their unit digit is even?
Choices:
75
100
150
200
Answer: A
Question: An electric pump can fill a tank in 5 hours. Because of a leak in the tank, it took 10hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Choices:
10hours
8hours
5hours
15hours
Answer: A
Question: Let the second number be 3x, so that the first number is 6x and the third number is 2x.
Choices:
77
98
27
36
Answer: D
Question: In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :
Choices:
n is an odd number
n is an even number
n is a perfect cube.
none
Answer: C
Question: There are 3 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Choices:
1
3
6
7
Answer: C
Question: Three partners A, B, C in a business invested money such that 4(Aâ€™s capital) = 2(Bâ€™s capital) = 8(Câ€™s capital) then, The ratio of their capitals is
Choices:
63 : 54 : 34
36 : 54 : 28
2 : 4 : 1
None of these
Answer: C
Question: A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 199 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
Choices:
10,000
14,400
12,696
can not be determined
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
Choices:
12 min
10 min
15 min
16 min
Answer: A
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 160 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
120
140
Answer: D
Question: A number is trebled and 10 is added. If the resultant is doubled, it becomes 96. What is that number?
Choices:
6
8
None of these
Cannot be determined
Answer: C
Question: In a certain school , 55 percent of student are females and the rest are males . In school elections , If 60 percent of males and 80 percent of females are expected to vote for a candidate (A) , what percent of students are expected to vote for candidate (A) ?
Choices:
65%
69%
71%
73%
Answer: C
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 120 kilometers?
Choices:
5.5
6.5
3
8.5
Answer: C
Question: Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 70 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?
Choices:
70 miles
60 miles
50 miles
40 miles
Answer: A
Question: A certain manufacturer of cake, muffin, and bread mixes has 140 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
Choices:
b. 3/10
c. 1/2
d. 7/10
e. 3/14
Answer: D
Question: At the beginning of 2010, 60% of the population of Town X lived in the south and the rest lived in the north. During 2010, the population of Town X grew by 5.5%. If the population in the south grew by 4.5%, by how much did the population in the north grow?
Choices:
3.5%
6.5%
7%
13.75%
Answer: C
Question: If x/(9p) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Choices:
54
44
66
99
Answer: A
Question: A person traveled 3 equal distances 4km/hr, 5km/hr, 6km/hr then find its avg speed?
Choices:
3.18km/hr
4.86km/hr
2.16km/hr
6.32km/hr
Answer: B
Question: The ratio of 3 seconds to 30 hours
Choices:
1:36000
1:600
1:400
1:500
Answer: A
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
130 sec
120 sec
140 sec
150 sec
Answer: B
Question: When 60 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
Choices:
4 : 3
2 : 3
Data inadequate
None of these
Answer: B
Question: A salt manufacturing company produced a total of 3000 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:
2789
3550
2889
2788
Answer: B
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 91
Choices:
6
15
31
91
Answer: D
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
1927
1919
1917
Answer: A
Question: A boy was asked to multiply a number by 25. He instead multiplied the next number by 52 and got the answers 324 more than the correct answer. The number to be multiplied was
Choices:
12
15
25
35
Answer: A
Question: In an examination it is required to get 30% of minimum marks to pass. A student got 170 marks and was declared failed by 10 marks difference. Then what is total marks:?
Choices:
500
600
700
None of these
Answer: B
Question: The ratio of 2 numbers is 3:7 and their H.C.F. is 10. Their L.C.M. is ?
Choices:
210
252
236
260
Answer: A
Question: At a summer camp with 900 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 900 campers will the 8- to 12-year-olds represent?
Choices:
66 2/3%
62%
60%
56%
Answer: A
Question: A man spends 1810 for buying bed sheets at 200 each and pillows at 70 each. What will be the ratio of bed sheets to pillows when maximum number of bed sheets are bought?
Choices:
8 : 3
9 : 1
1 : 9
None of these
Answer: A
Question: Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
Choices:
29
32
34
36
Answer: C
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
120
360
480
520
Answer: A
Question: A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $121 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
Choices:
6
8
10
12
Answer: B
Question: 2 trains starting at the same time from 2 stations 200km
apart and going in opposite direction cross each other ata
distance of 110km from one of the stations.what is the ratio of
their speeds.
Choices:
11:9
9:9
9:10
5:6
Answer: A
Question: Find the average of all the numbers between 26 and 54 which are divisible by seven
Choices:
38.5
44
50.8
None of these
Answer: A
Question: The side of a square has the length of 6. What is the area of the region shaded?
Choices:
48-6 π
24+6π
16+8π
64-8π
Answer: A
Question: A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 2 red and 4 blue samples, and a second jar is chosen at random from a different display containing 3 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)
Choices:
1/2
2/3
4/5
6/5
Answer: C
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is?
Choices:
276
100
277
110
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
26 %
10 %
20 %
15 %
Answer: C
Question: Of the families in City X in 1998, 30 percent owned a personal computer. The number of families in City X owning a computer in 2002 was 20 percent greater than it was in 1998, and the total number of families in City X was 8 percent greater in 2002 than it was in 1998. what percent of the families in City X owned a personal computer in 2002?
Choices:
52.66%
56.33%
33.33%
74.12%
Answer: C
Question: A three-person committee must be chosen from a group of 7 professors and 15 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Choices:
B)1085
C)630
D)1,260
E)1,980
Answer: A
Question: A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
Choices:
105
888
266
882
Answer: A
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 8 such machines produce in 4 minutes ?
Choices:
1800
2700
1440
None of these
Answer: C
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3
833 2/9
833 1/1
833 1/4
Answer: A
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Choices:
8721
2189
2789
2791
Answer: A
Question: The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 13 consecutive integers that start with (m + 2)?
Choices:
n + 6
n + 3
m + 5
n + 4
Answer: A
Question: The ratio of two quantities is 5 : 4. If each of the quantities is increased by 10, what is the ratio of the new quantities?
Choices:
It cannot be determined from the information given
2:3
1:5
4:1
Answer: A
Question: If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 8, respectively, what is the probability that b/a will not be an integer?
Choices:
3/12
4/12
1/2
2/3
Answer: A
Question: If x is a positive number and a=√x∗x−x, which of the following must be true?
I. a is even
II. a is positive
III. a is an integer
Choices:
II only
III only
I and II
None of the above
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 18 min
8 hrs 15 min
8 hrs 65 min
8 hrs 18 min
Answer: B
Question: If the sum of 7 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 7
Choices:
II only
III only
I and III
II and III
Answer: C
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If two minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
Choices:
24
36
60
72
Answer: A
Question: A team of six entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
497
168
127
664
Answer: A
Question: A group of people,dogs, and birds has seventy legs, thirty heads, and twenty
tails. How many cats are among this group? (Assume all birds have two legs and a tail.)
Choices:
5
13
15
20
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.15 less, he could have gained 25%. What is the cost price?
Choices:
375
279
278
75
Answer: D
Question: A pool which was 5/6 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
Choices:
70 hrs.
68 hrs 30 mins.
11 hrs 40 mins.
15 hrs 30 mins
Answer: A
Question: A tank is filled in 5 hours by three pipes P, Q and R. The pipe R is twice as fast as Q and Q is twice as fast as P. How much time will pipe P alone take to fill the tank?
Choices:
35 hrs
25 hrs
50 hrs
28 hrs
Answer: A
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.
Choices:
3%
4%
5%
6%
Answer: B
Question: A sporting goods store sold 64 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $196 what is the fewest number of $4 Frisbees that could have been sold?
Choices:
12
8
2
4
Answer: D
Question: A rectangular lawn of dimensions 70 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
2779
2779
3900
3600
Answer: D
Question: John bought a total of 20 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 20 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
Choices:
5
6
9
12
Answer: D
Question: If W = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in W than the median of the numbers in W?
Choices:
1.0
2.0
2.5
3.0
Answer: A
Question: If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A- B is also a even number.
Choices:
1 and 3 only.
3 only.
2 and 3 only.
1, 2 and 3.
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 16% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
17%
16%
13%
30%
Answer: C
Question: The simple interest at a% for a years will be $a on a sum of
Choices:
$(100)a^2
$ a
$ (100)/a
$ 100a
Answer: C
Question: {1/(4+√15)} =
Choices:
b. 31- 8√15
c. 31+ 8√15
d. 4- √15
e. 32 + 4√15
Answer: C
Question: Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If Cristina runs at a pace of 4 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choices:
18 seconds
25 seconds
36 seconds
45 seconds
Answer: C
Question: Two trains of length 100 m and 200 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
32/3 sec
20/7 sec
32/3 sec
40/7 sec
Answer: D
Question: If a, b, and c are positive numbers such that (a/(a+b))(10) + (b/(a+b))(20)=c and if a<b which of the following could be the value of c?
Choices:
12
15
18
30
Answer: C
Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 15 km/hr downstream and 7 km/hr upstream.
Choices:
13 kmph
14 kmph
15 kmph
11 kmph
Answer: D
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
2878
221
276
245
Answer: D
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Choices:
76
78
86
88
Answer: C
Question: If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8,
find P (not A and not B).
Choices:
1/8
1/11
1/13
2/5
Answer: A
Question: What is the unit digit in 8^100?
Choices:
1
6
3
5
Answer: B
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 130 pages?
Choices:
9 hours 45 mins
9 hours
7 hours
6 hours
Answer: A
Question: Given 2x + y + z = 3 and 5x + 3y + z = 9, what is the value of x + y - z?
Choices:
3
5
6
7
Answer: A
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
30 litres
15 litres
10 litres
25 litres
Answer: C
Question: Which of the following are phases of 2-phase locking protocol?
Choices:
Release the present locks and never asking for transmission
Both (1) and (2)
None of these
DS
Answer: B
Question: Rani has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
Choices:
63
64
65
61
Answer: C
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
(b) 7/15
(c) 14/17
(d) 17/35
(e) 1/2
Answer: B
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 5?
A. 48 kmph
Choices:
52.5
28
27
16.6
Answer: A
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
1055
1057
1060
1070
Answer: A
Question: Mathew is planning a vacation trip to London next year from today for 5 days, he has calculated he would need about $3,000 for expenses, including a round-trip plane ticket from L.A to London. He nets around $1,500 monthly in gross income, after all bills are paid, he is left with about $350 each month free for whatever he desires. How much money would Mathew need to evenly save from his $350 to have $3,000 in his bank within 12 months?
Choices:
$350
$217
$250
$340
Answer: C
Question: The greatest number by which the product of three consecutive multiples of 5 is always
Choices:
81
750
243
None of these
Answer: B
Question: In a race where 16 cars are running, the chance that car X will win is 1/4, that Y will win is 1/12 and that Z will win is 1/7. Assuming that a dead heat is impossible, find the chance that one of them will win.
Choices:
10/21
27/410
11/21
57/120
Answer: A
Question: An unbiased die is tossed. Find the probability of getting a multiple of 2.
Choices:
1/2
2/3
1/4
1/6
Answer: A
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1205 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Choices:
31897
48799
50000
52782
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.500 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
7799
2500
2772
6250
Answer: D
Question: There are 12 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
Choices:
62
66
70
74
Answer: B
Question: A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choices:
245 m
247 m
249 m
252 m
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
216 cm
278 cm
272 cm
Answer: A
Question: A train 350 m long passed a pole in 35 sec. How long will it take to pass a platform 650 m long?
Choices:
100 sec
85 sec
16 sec
15 sec
Answer: A
Question: If x is a positive, single-digit integer such that 4/3*x, 3x, x, and x + 2, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
Choices:
4
5
6
8
Answer: B
Question: A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Choices:
6 hours
7 hours
8 hours
9 hours
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then 10xy/3 =?
Choices:
A) 10
C) 17/5
D) 18/5
E) 4
Answer: A
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Choices:
240
249
244
241
Answer: A
Question: In a basketball contest, players must make 10 free throws. Assuming that Shmill O'Real has a 90% chance of making each of his shots, how likely is it that he will make all of his 10 shots in the contest?
Choices:
(9/10)^10
9/10
(8/9)^10
(9/10)^9
Answer: A
Question: In one alloy there is 12% chromium while in another alloy it is 8%. 20 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Choices:
9.45%
15%
20%
25%
Answer: A
Question: In a basket of 10 apples,John wants only 3 apples to give their 3 friends.In how many ways that john select apples from a basket?
Choices:
120
30
100
50
Answer: A
Question: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Choices:
8 : 2
8 : 7
8 : 3
8 : 9
Answer: B
Question: If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new numbers is :
Choices:
40
88
27
11
Answer: A
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 20 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour?
Choices:
171.4
171.6
171.7
None of the above
Answer: A
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 51. What is that number?
Choices:
6
8
7
4
Answer: D
Question: All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 45 th boy. Total number of boys in the class?
Choices:
68
72
70
58
Answer: C
Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Choices:
3/6
4/5
2/91
8/9
Answer: C
Question: Ron cycles his way up on a hill side and back. He takes the exact same route both ways. On the trip out he cycles an average speed of 5 miles per hour. On the trip back, downhill cycling at an average speed of 100 miles per hour, he is quick to return back. What is his approximate average speed for the round trip in miles per hour?
Choices:
9.52
10
11.7
20
Answer: A
Question: A certain Maroon paint contains 70 percent blue pigment and 30 percent red pigment by weight. A certain green paint contains 10 percent blue pigment and 90 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Choices:
1.5
2.5
3
3.5
Answer: A
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
63
14
50
25
Answer: A
Question: The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {6, 6, 6, 14, 14, 14}, standard deviation = P
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = Q
Set III = {7, 8, 9, 11, 12, 13}, standard deviation = R
Rank these three standard deviations from least to greatest.
Choices:
P, R, Q
Q, P, R
Q, R, P
R, Q, P
Answer: C
Question: What is the perimeter of an isosceles right angled triangle. The area of the isosceles right angled triangle is 50.
Choices:
36
25
30
34.14
Answer: D
Question: The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 5th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 7th year?
Choices:
37
38
39
40
Answer: C
Question: The sum of the numbers is 98. If the ratio between the first and the second be 2:3 and that between the second and third be 5:8, then find the second number?
Choices:
30
36
42
50
Answer: A
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
62.5 kmph
10.5 kmph
12.5 kmph
16.5 kmph
Answer: C
Question: Out of 9 people working on a project, 4 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Choices:
21/28
31/38
37/42
43/56
Answer: C
Question: On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Choices:
12.5%
15%
22%
30%
Answer: A
Question: The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 210 the Other is
Choices:
330
270
250
350
Answer: A
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
11
12
13
15
Answer: C
Question: What Is The Next Number
12 13 15 17 111 113 117 ?
Choices:
119
129
428
224
Answer: A
Question: If A can complete a work in 36 days and B can do the same work in 42days. If A after doing 6 days, leaves the work, find in how many days B will do the remaining work ?
Choices:
35 days
30 days
25 days
27 days
Answer: A
Question: There are 9 books on a shelf that consist of 3 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
Choices:
103
111
119
127
Answer: B
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
15
16
19
11
Answer: A
Question: Express a speed of 42 kmph in meters per second?
Choices:
18 mps
19 mps
17 mps
12 mps
Answer: D
Question: How many 3 digit positive integers W exist that when divided by 7 leave a remainder of 5?
Choices:
142
143
141
129
Answer: D
Question: With respect to the division whose percent of total income exceeded its percent of total expenses by the greatest amount among the four divisions, by approximately what amount did the division's income exceed its own expenses ?
Division A :. 38%
Division B : 12%
Division C : 30%
Division D : 20%
Choices:
$ 90,000
$ 150,000
$ 185,000
$ 240,000
Answer: D
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choices:
389
40
38
22
Answer: B
Question: On the coordinate plane , points M and Q are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
Choices:
(2,-5)
(0,0)
(1,1.5)
(2,2)
Answer: C
Question: How many multiples of 4 are there between 1 and 100, inclusive?
Choices:
25
23
30
36
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
2/45
9/42
5/46
5/47
Answer: B
Question: 3,7,12,18,25..............9th terms
Choices:
53
63
65
78
Answer: B
Question: If taxi fares were $1.00 for the first 1/5 mile and $0.45 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choices:
$2.40
$3.80
$4.20
$7.30
Answer: D
Question: If A:B = 1/2: 1/4 B:C = 1/2:1/4 then A:B:C?
Choices:
1:2:3
4:14:24
12:8:16
16:8:4
Answer: D
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 39 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5â„7 years
32 6â„7 years
27 1â„2 years
None of these
Answer: B
Question: 66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Choices:
84 m.
89 m
83 m
42 m
Answer: A
Question: A manufacturing plant produces 2 products (bolts and screws). 3% of all products are defective. If the ratio of products made is 3:2, respectively, and the percentage of bolts defective 5%, what percentage of screws are defective?
Choices:
3%
5%
5/2%
5/3%
Answer: D
Question: Two vessels contains equal number of mixtures milk and water in the ratio 3:2 and 4:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Choices:
9:13
5:11
7:3
15:4
Answer: C
Question: If x/y = 8/7, Then (7x + 6y) / (7x â€“ 6y) = ?
Choices:
8
9
7
6
Answer: C
Question: An employer pays Rs.20 for each day a worker works and for feits Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal?
Choices:
30
40
50
60
Answer: B
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
456
264
200
154
Answer: C
Question: The product of x and y is a constant. If the value of x is increased by 20%, by what percentage must the value of y be decreased?
Choices:
16.66%
44.44%
55.55%
19.92%
Answer: A
Question: If there are 200 questions in a 3 hr examination. Among these questions are 50 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Choices:
72 min
70 min
74 min
76 min
Answer: A
Question: Lily shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
Choices:
0.75
c) 8/9
5/7
6/8
Answer: C
Question: If t is a positive integer and 10^t – 74 in decimal notation has digits whose sum is 440, what is the value of t?
Choices:
44
45
46
50
Answer: D
Question: The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Choices:
1/3
2/5
9/17
9/23
Answer: C
Question: 3*12+3*13+3*16+11 = ?
Choices:
126
134
148
151
Answer: B
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 8000.
Choices:
Rs. 2500
Rs. 7200
Rs. 8000
None of these
Answer: A
Question: if integer N has p factors ; how many factors will 4N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: D
Question: A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
53.85%
60%
70%
80%
Answer: A
Question: Mary works in a restaurant a maximum of 70 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
Choices:
620
660
320
400
Answer: B
Question: IN Common Wealth Games an athlete runs 200 meters in 36 seconds. Hisspeed is ?
Choices:
27 km/hr
30 km/hr
20 km/hr
None of these
Answer: C
Question: A train passes a platform in 25 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices:
75
26
23
22
Answer: A
Question: Calculate the percentage increase in the area of a square if each of its sides is increased by 15%?
Choices:
32.25%
36.25%
35.25%
31.25%
Answer: A
Question: Laura has a deck of standard playing cards with 12 of the 60 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Choices:
1/5
5/26
12/42
13/42
Answer: A
Question: How many pieces of 8.6 metres length cloth can be
cut out of a length of 455.8 metres cloth?
Choices:
48
55
53
68
Answer: C
Question: In store A there are 30 pairs of pants for every 60 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
Choices:
2:3.
1:3.
3:4.
2:5.
Answer: A
Question: how many four digits numbers are formed such that the digits are in decreasing order
Choices:
210
230
240
250
Answer: A
Question: A certain company’s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Choices:
18%
32%
35%
38%
Answer: B
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 1 of their friends to play with them. There are 36 marbles in the bag. If all 3 people are playing, how many marbles does each person get?
Choices:
12
5
6
7
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 50, the runs scored by B are?
A. 15 B. 18
Choices:
12
99
77
24
Answer: A
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/17
Choices:
b) 6
c) 10
d) 17
e) 32
Answer: C
Question: Find the largest 4 digit number which isexactly divisible by 88?
Choices:
4586
9944
10564
18664
Answer: B
Question: After 6 games, team B had an average of 75 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?
Choices:
4
7
3
8
Answer: C
Question: If the area of a circle is 81pi square feet, find its circumference.
Choices:
28
18
48
38
Answer: B
Question: The average age 7 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
14 years
18 years
12 years
11 years
Answer: A
Question: If n = 2cd, where c and d are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 13 marks, what was the maximum marks he could have got?
Choices:
377
750
367
232
Answer: B
Question: Pankajam bought an electric drill at 80% of the regular price.
She paid $32.80 for the drill. What was the regular price?
Choices:
$18.69
$38.69
$58.69
$41.00
Answer: D
Question: What is the lowest possible common multiple M of 2 distinct integers, each greater than 329?
Choices:
330^2
33·331
660
330
Answer: C
Question: A cubical block of metal weighs 5 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
40
24
18
12
Answer: A
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 20 laps around the track per hour and Nick completes 10 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
Choices:
8
24
15
20
Answer: B
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:
225 m
245 m
250 m
240 m
Answer: B
Question: What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 425.01
Choices:
88.65
88.67
83.65
88.61
Answer: A
Question: There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two socks of the same colour have been chosen?
Choices:
3
14
16
20
Answer: A
Question: The inverse ratio of 3: 7: 1 is?
Choices:
2:3:9
2:3:2
2:3:6
2:3:1
Answer: D
Question: The simple form of the ratio 4/3:4/5 is?
Choices:
10:3
15:3
5:3
30:3
Answer: C
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 40 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 5 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Choices:
17
18
15
14
Answer: C
Question: the average of four consecutive even numbers is 27. find the largest of thesenumbers?
Choices:
26
28
30
32
Answer: C
Question: There are 200 female managers in a certain company. Find the total number of female employees Q in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Choices:
Q=400
Q=500
Q=600
None of these
Answer: B
Question: The first half of a 500-mile trip was travelled in x hours and the second half in y hours. Which of the following is equal	to the average speed, in miles per hour, for the entire trip?
Choices:
500/(x + y)
50/x + 50/y
250/x + 250/y
500/x + 500/y
Answer: A
Question: A train 440 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
24 sec
44 sec
62 sec
21 sec
Answer: A
Question: Jack rode his bicycle at an average speed of 5 mph for some time and then at an average speed of 15 mph for the rest of the journey. If he made no stops during the trip, and his average speed for the entire journey was 10 miles per hour, for what fraction of the total time did he ride at 15 mph?
Choices:
1/3
2/3
2/5
1/2
Answer: D
Question: In a game of billiards, A can give B 10 points in 30 and he can give C 15 points in 30. How many points can B give C in a game of 50?
Choices:
12.5
20
22
23
Answer: A
Question: Which of the following numbers completes
the sequence 8, 14, 21, 29, 38___?
Choices:
36
37
48
69
Answer: C
Question: Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Choices:
18 years
28 years
Cannot be determined
None of these
Answer: D
Question: If A=x^3 y^2 and B=xy^3, then find the HCF of A, B
Choices:
x*y^1
x*y^2
x*y^4
x*y^5
Answer: B
Question: The perimeter of a semi circle is 144 cm then the radius is?
Choices:
28 cm
26
27
25
Answer: A
Question: How many workers are required for completing the construction work in 10 days?
I.20% of the work can be completed by 8 workers in 8 days.
II.20 workers can complete the work in 16 days.
III.One-eighth of the work can be completed by 8 workers in 5 days.
Choices:
II and III only
III only
I and III only
Any one of the three
Answer: D
Question: A sells a bicycle to B and makes a profit of 35%. B sells the same bicycle to C at a profit of 45%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
Choices:
126
971
611
115
Answer: D
Question: A 30% loss on cost price is what percent loss on selling price?
Choices:
20%
15%
25%
40%
Answer: C
Question: How many odd three-digit integers greater than 300 are there such that all their digits are different?
Choices:
156
172
181
240
Answer: D
Question: In a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 150 cans in the entire display, how many cans are in the sixth row?
Choices:
16
18
20
22
Answer: A
Question: Peter rolls two dice at the same time. What is the probability that either of the dices show either 1 or 5?
Choices:
b) 1/18
c) 1/6
d) 5/12
e) 1/3
Answer: A
Question: 40 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be:
Choices:
20 cm
35 cm
50 cm
None of these
Answer: A
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
Choices:
277
389
480
881
Answer: C
Question: 3^12 + 3^12 + 3^12 =
Choices:
3^13
3^15
9^12
9^13
Answer: A
Question: If 7 persons can do 7 times of a particular work in 7 days, then, 9 persons can do 9 times of that work in
?
Choices:
8 days
9 days
11 days
7 days
Answer: D
Question: Find the value for x from below equation: x/3=-5?
Choices:
13
-15
-31
40
Answer: B
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 28 in two years, at the same percent rate per annum?
Choices:
s. 25
s. 42
s. 20
s. 60
Answer: A
Question: If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/7 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
Choices:
2
3
4
5
Answer: B
Question: In how many years does a sum of Rs. 6000 yield a simple interest of Rs. 15000 at 15% p.a.?
Choices:
16.66 years
18.66 years
19.66 years
20.66 years
Answer: A
Question: A ball is bought for Rs.400 and sold at a gain of 30% find its selling price?
Choices:
B)Rs.490/-
C)Rs.500/-
D)Rs.520/-
E)Rs.540/-
Answer: C
Question: 6, 10, 18, 30, 46, ?
Choices:
66
74
57
32
Answer: A
Question: If â€œ*â€ is called â€œ+â€, â€œ/â€ is called â€œ*â€, â€œ-â€ is called â€œ/â€, â€œ+â€ is called â€œ-â€. 240/80 â€“ 60 * 40 - 10 = ?
Choices:
341
323.2
425.6
225.7
Answer: B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
58
55
40
Answer: A
Question: It takes 40 identical printing presses 9 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Choices:
10
11
12
13
Answer: C