antoine-444/aqua_rat_dataset huggingface dataset:
Question: Three friends Ravi, Baskar and Chandran divide $1200 amongs them in such a way that if $10, $20 and $15 are removed from the sums that Ravi, Baskar and Chandran received respectively, then the share of the sums that they got will be in the ratio of 10 : 12 : 13. How much did Chandran receive?
Choices:
$444
$446
$447
$448
Answer: A
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long D will the conference last if there are a total of 6 seminars that day?
Choices:
5 hours and 20 minutes
5 hours and 25 minutes
5 hours and 30 minutes
5 hours and 35 minutes
Answer: A
Question: Mr.Jones gave 40% of the money he had to his wife. He also gave 20% of the remaining amount to his 3 sons. and half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. How much money did Mr.jones have initially?
Choices:
45000
50000
62000
None of these
Answer: B
Question: A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
Choices:
Rs. 16
Rs. 17
Rs. 18
Rs. 19
Answer: B
Question: A invested $15000 in a business after 6months B invested $18000 in the business. End of the year if they got $16000 as profit. Find B shares?
Choices:
$12000
$5000
$6000
$7500
Answer: C
Question: For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score W for the exam?
Choices:
74
78
80
82
Answer: A
Question: If x and y are both odd prime numbers and x < y, how many distinct positive integer W factors does 2xy have?
Choices:
4
6
8
12
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/29
2/21
2/29
2/20
Answer: B
Question: There are 7 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
21
45
60
90
Answer: A
Question: In e is a positive integer smaller than 200 and (14e)/60 is an integer, then e has how many different positive prime factors?
Choices:
3
5
6
8
Answer: A
Question: A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the W % profit made by the merchant?
Choices:
66.67 %
200 %
100 %
33.33 %
Answer: A
Question: A man fixed an appointment to meet the manager, Manager asked him to come two days after the day before the day after tomorrow. Today is Friday. When will the manager expect him?
Choices:
monday
tuesday
wednesday
thursday
Answer: A
Question: Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job?
Choices:
7 1/2 hrs
7 hrs
9 hrs
19 hrs
Answer: D
Question: There are 10 teams in a certain league and each team plays each of the other teams exactly once. What is the total number of games played?
Choices:
36
42
45
50
Answer: C
Question: A train 160 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
44 sec
24 sec
60 sec
Answer: C
Question: How many words can be formed by using all letters of the word ‘BEIJING’ ?
Choices:
720
120
5040
770
Answer: C
Question: Express 60 mps in kmph?
Choices:
182
216
127
400
Answer: B
Question: Eight women can do a work in 10 days. Ten men can complete the same work in 6 days. What is the ratio between the capacity of a man and a woman?
Choices:
2:1
2:3
4:3
None of these
Answer: C
Question: If 0 < y< 1 < z, which of the following must be true?
Choices:
1/y< 1 < 1/z
1/y< 1/z< 1
1/z< 1 < 1/y
1/z< 1/y< 1
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Choices:
21
28
27
31
Answer: A
Question: Rita is twice as old as Rama. Three years ago, she was three
times as old as Rama. How old is Rita now?
Choices:
12 years
13 years
14 years
15 years
Answer: A
Question: If a and b are positive integers such that a/b = 0.68, which of the following must be a divisor of a?
Choices:
13
22
25
17
Answer: D
Question: If the ratio of the roots of the equation x2+px+q=0 is equal to that of the roots x2+rx+s=0, then:
Choices:
qp=sr
sq=p
ps=qr
none
Answer: C
Question: A sum of money doubles in 12 years. In how many years, it will treble at S.I.
Choices:
8 years
6 years
24 years
36 years
Answer: C
Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-3) ∆ (3 ∆ −3) ?
Choices:
49/9
36/25
25/16
16/9
Answer: A
Question: In how many ways, a committee of 5 members can be selected from 9 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
552
775
840
912
Answer: C
Question: A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 70% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow
Choices:
b) 4.5
c) 2.41
d) 5.5
e) 3
Answer: B
Question: A person bought 115 glass bowls at a rate of Rs. 18 per bowl. He sold 104 of them at Rs. 20 and the remaining broke. What is the percentage gain for A?
Choices:
300/11
243/7
279/11
100/207
Answer: D
Question: When 242 is divided by a certain divisor the remainder obtained is 11. When 698 is divided by the same divisor the remainder obtained is 18. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 9. What is the value of the divisor?
Choices:
17
13
20
None of these
Answer: C
Question: 9 students bought burgers for $143 dollars. If the bill has to be divided among these students, how much amount should be added to the amound to make it
divided amoung them equally in dollars(in whole number of dollars)
Choices:
$1
$3
$4
$5
Answer: A
Question: In what time will a train 125 m long cross an electric pole, it its speed be 130 km/hr?
Choices:
3.5
2.9
2.3
2.1
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
88
48
99
22
Answer: B
Question: In the quadrilateral PQRS d=10 cm, h1=4.6 cm and
h2=2.3 cm. Find the area
Choices:
22
23
34.5
25
Answer: C
Question: Which of the following numbers is two more than the square of an odd integer?
Choices:
14,361
15,253
15,737
16,131
Answer: D
Question: Find the odd man out. 6, 13, 18, 25, 30, 37, 40
Choices:
40
37
25
15
Answer: A
Question: In the infinite sequence 2, 4, 6, 8, 10, . . . , where each term is 2 greater than the previous term, the 72th term is
Choices:
144
176
344
287
Answer: A
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 24 kmph and 60 kmph. After how much time will they meet for the first time at the starting point?
Choices:
176 sec
178 sec
180 sec
189 sec
Answer: C
Question: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Choices:
49%
52%
59%
61%
Answer: B
Question: By selling 22 pens for a rupee a woman loses 10%. How many for a rupee should he sell in order to gain 50%?
Choices:
14
45
13
65
Answer: C
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Choices:
12 cm
14 cm
10 cm
15 cm
Answer: A
Question: Sheik Abdullah decides to buy 3 new cars for his collection. If he has to choose between nine different cars, what is the number of purchasing possibilities he has?
Choices:
B)404
C)504
D)604
E)704
Answer: B
Question: A string of 25 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. If for each individual light bulb the probability of failing during time period T is 0.06, what is the probability that the string of light bulbs will fail during the time period T?
Choices:
(0.06)^25
1 - (0.06)^25
1 - (0.94)^25
(0.94)^25
Answer: C
Question: The distance between A&B is 750km. A person is traveling from A to B at 80km/hr started at 10AM and another person is traveling from B to A at 70km/hr and started at same time. Then at what time they meet together.?
Choices:
B)4PM
C)3PM
D)1PM
E)5PM
Answer: B
Question: A milk man has 40 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Choices:
25%
45%
18%
None of these
Answer: B
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
86
29
26
Answer: A
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to a% of stall’s revenue and accounted for b% of sales of juice tetra packs. Which of the following expresses a in terms of b?
Choices:
200b/(250-b)
200b/(300-b)
250b/(400-b)
300b/(500-b)
Answer: B
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat 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 10% profit?
Choices:
13.86
16.35
16.3
16.32
Answer: A
Question: The post office processed lots of packages every weekday. The numbers of packages it processed per day were 80, 30, 100, 90 and x. If the median number of packages was 10 higher than the average (arithmetic mean) number of packages, which of the following could be x?
Choices:
40
50
55
60
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
Rs.3944
Rs.3928
Rs.3929
Rs.3925
Answer: A
Question: If (1/3)A = (1/4)B = (1/5)C. Then A : B : C is
Choices:
5 : 4 : 3
3 : 4 : 5
20 : 15 : 12
None of these
Answer: B
Question: If there are 5 seats and 2 students, in how many ways can they be seated?
Choices:
16
20
24
28
Answer: B
Question: When positive integer x is divided by positive integer y, the result is 59.32. What is the sum W of all possible 2-digit remainders for x/y?
Choices:
616
672
728
784
Answer: A
Question: A corporation triples its annual bonus to 50 of its employees. What percent E of the employees’ new bonus is the increase?
Choices:
662⁄3%
100%
200%
300%
Answer: A
Question: The ratio of 2 numbers is 1:2 and their H.C.F. is 10. Their L.C.M. is ?
Choices:
20
30
50
40
Answer: A
Question: If 14,444 – n is divisible by 11, and 0 < n < 11, what is n?
Choices:
1
5
7
9
Answer: A
Question: Tea worth Rs. 126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg
Choices:
175.5
175.57
175.52
175.11
Answer: B
Question: The 1:30 pm train leaves the station as a prospective passenger reaches the platform. Assuming that the train is going at 40 kmph, and the next train is an Express leaving half an hour later, which will go 50 kmph, when will the passenger reach the same place as the train he missed?
Choices:
2:30 pm
3:45 pm
4:00 pm
5:15 pm
Answer: C
Question: If y is the smallest positive integer such that 6300 multiplied by y is the square of an integer, then y must be
Choices:
7
15
35
45
Answer: A
Question: From January through June, 46200 immigrants applied for citizenship. During this same period last year, 120000 immigrants applied. What is the percentage of decrease?
Choices:
38.5
38.7
38.8
None
Answer: A
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √5 ¤ √5 =
Choices:
5
10
15
20
Answer: D
Question: The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Choices:
1:2
2:5
3:5
25
Answer: B
Question: In a class of students, 1/2 of the number of girls is equal to 1/3 of the total number of students. What is the ratio of boys to girls in the class?
Choices:
1/2
2/3
1/4
3/4
Answer: A
Question: The length and the breadth of a rectangle are in the ratio of 3 : 2 respectively. If the sides of the rectangle are extended on each side by 1 metre, the ratio of length to breadth becomes 10 : 7. Find the area of the original rectangle in square metres.
Choices:
150
280
Data inadequate
None of these
Answer: D
Question: If m > 0 and x is m/10 of y, then, in terms of m, y=?x
Choices:
b) 1/100m
c) 1/m
d) 100/m
e) 10,000/m
Answer: C
Question: The ratio of boys to girls in Class A is 5 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Choices:
7
10
11
12
Answer: A
Question: According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 29, by how much does the temperature in degrees Celsius (C) increase?
Choices:
15
47
48 3/5
59
Answer: A
Question: Find a a prime number from the options below.
Choices:
87
88
89
90
Answer: C
Question: If an integer x is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that x(x + 1)(x + 2) will be divisible by 8?
Choices:
3/8
1/2
5/4
5/8
Answer: D
Question: 9 friends are living in 9 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 9 parking spots. In how many ways can they park their cars so that exactly 7 people park their cars in the spots allotted to them?
Choices:
36
48
60
72
Answer: A
Question: Machine A can print one lakh books in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All the three machines start job at 9.00 am. A breaks down at 11.00 am and the other two machines finish the job. Approximately at what time will the job be finished?
Choices:
1.30 pm
1.00 pm
11.30 am
None of these
Answer: B
Question: A coin is tossed 5 times, Probability of getting
head exactly 3 times is:
Choices:
0.3125
0.5125
0.6125
0.7125
Answer: A
Question: In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 150 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ?
Choices:
100/3 ml
30 ml
20/3 ml
10 ml
Answer: B
Question: A milk man makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase?
Choices:
40⁄3
22
10
None of these
Answer: A
Question: What least number must be added to 696, so that the sum is completely divisible by 20 ?
Choices:
4
3
5
6
Answer: A
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Choices:
Rs.12
Rs.15
Rs.29
Rs.19
Answer: B
Question: Replace the ? by the correct Mathematics symbol to make the expression true 15 ? 3 ? 3 ? 5 = 20
Choices:
15 + 3 ÷ 3 + 5 = 20
15 x 3 + 3 + 5 = 20
15 x 3 ÷ 3 + 6 = 20
15 x 3 ÷ 3 + 5 = 20
Answer: D
Question: Two right circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.
Choices:
√7:1
√2:1
2:1
3:1
Answer: B
Question: How many positive integers less than 15 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
Choices:
13
12
8
10
Answer: C
Question: If [x] is the greatest integer less than or equal to x, what is the value of [-2.6]+[1.4]+[2.7]?
Choices:
0
2
6
7
Answer: A
Question: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
49
88
65
22
Answer: A
Question: What is the remainder when 1201 × 1202 ×1203 × 1204 is divided by 6?
Choices:
0
2
3
4
Answer: A
Question: What is the perimeter of a square field whose diagonal is 8√2?
Choices:
32 m
27 m
26 m
76 m
Answer: A
Question: A person buys an article at $1200. At what price should he sell the article so as to make a profit of 40%?
Choices:
1600
1680
1900
1230
Answer: B
Question: There is a sufficient food for 200 men for 20 days after 15 days 100 men leave the place. For how many days will the rest of the food last for the rest of the men?
Choices:
10 days
15 days
12 days
10 days
Answer: A
Question: Nelly made a part payment of $875 toward buying a brand new refrigerator, which represents 25% of the total cost of the refrigerator, how much remains to be paid?
Choices:
$2782
$1625
$2629
$2625
Answer: D
Question: If 2^(2w) = 8^(w−4), what is the value of w?
Choices:
6
9
12
15
Answer: C
Question: Salesperson A's compensation for any week is $260 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Choices:
$8000
$10,000
$12,000
$14,000
Answer: B
Question: A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour. Find the distance travelled on foot.
Choices:
32 km
30 km
28 km
None
Answer: A
Question: Express a speed of 30 kmph in meters per second?
Choices:
8 mps
9 mps
7 mps
12 mps
Answer: A
Question: Anusha, Banu and Esha run a running race of 100 meters. Anusha is the fastest followed by Banu and then Esha. Anusha, Banu and Esha maintain constant speeds during the entire race. When Anusha reached the goal post, Banu was 10m behind. When Banu reached the goal post Esha was 10m behind. How far was behind Anusha when the latter reached the goal post.
Choices:
88
81
66
22
Answer: B
Question: A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 35% profit on the cost of the item?
Choices:
21.6
22
22.5
27.7
Answer: D
Question: n^(n/2)=2 is true when n=2 in the same way what is the value of n if n^(n/2) =12?
Choices:
12
14
16
10
Answer: A
Question: A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts five hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
4.5
4
d) 10
e) 5
Answer: C
Question: What is the product of the greatest 2 digit multiple of 5 and the greatest 2 digit prime number?
Choices:
9,310
9,506
9,603
9,702
Answer: A
Question: How many possible ways are there to select 2 stocks at random from 11 stocks?
Choices:
40
45
50
55
Answer: D
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is ?
Choices:
876
768
658
958
Answer: B
Question: Ada's income is 60 percent more than Adelaide's income, and Adelaide's income is 50 percent less than Bella's income. What percent of Bella's income is Ada's income?
Choices:
30%
50%
90%
80%
Answer: D
Question: If taxi fares were Rs 1.00 for the first 1/5 mile and Rs 0.20 for each 1/5 miles thereafter. The taxi fare for a 3-mile ride was
Choices:
Rs 2.40
RS 3.00
Rs 3.80
Rs 4.20
Answer: C
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 136, then the number of hens will be
Choices:
24
26
20
28
Answer: D
Question: Which of the following equations has a solution in common with x^2 + 14x + 33 = 0?
Choices:
-x^2 - 3x + 28 = 0
-x^2 - 2x + 99 = 0
3x^2 + 30x + 27 = 0
none of the above
Answer: B
Question: The Q train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the Q train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?
Choices:
6m
7m
9m
12m
Answer: A
Question: There are 16 teams divided in 4 groups. Every team from each group will play with each other once. The top 2 teams will go to the next round and so on the top two teams will play the final match. Minimum how many matches will be played in that tournament?
Choices:
43
45
46
47
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
50
64
70
80
Answer: B
Question: There are 16 bees in the hive , then 8 more fly. How many bees are there in all?
Choices:
33
12
24
25
Answer: C
Question: Two boys starts from the same place walking at the rate of 4 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 10.5 km apart?
Choices:
5
7
9
6
Answer: B
Question: A cistern 5m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
42.5 m2
53.5 m2
55 m2
57 m2
Answer: A
Question: The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
Choices:
27
88
76
16
Answer: A
Question: If n is an integer, then the least possible value of |48 - 7n| is?
Choices:
1
5
4
2
Answer: A
Question: If 24 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:
276
425
512
648
Answer: A
Question: A password for a computer uses eight digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choices:
1/16
1/8
2/5
1/256
Answer: D
Question: Evaluate 100 / .25
Choices:
400
500
None of these
506
Answer: A
Question: Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in five hours, what fraction of the room can Joseph paint in 20 minutes?
Choices:
x/(x-3)
(x-5)/15x
x/(x-5)
(x-5)/x
Answer: B
Question: A start walking from a place at a uniform speed of 7 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
Choices:
7.6 kmph
4 kmph
7 kmph
5.3 kmph
Answer: A
Question: In 1 hour, a boat goes 5 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is :
Choices:
2 km/hr.
6 km/hr.
8 km/hr.
5 km/hr.
Answer: D
Question: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.6 times as old as Robert?
Choices:
1965
1970
1975
1990
Answer: D
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10
14
17
15
Answer: A
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability r that the World Series will consist of fewer than 7 games?
Choices:
25%
31.25%
68.75%
75%
Answer: C
Question: If A : B=4 : 3 and B : C = 1 : 2, then A : B : C is:
Choices:
4:6:3
7:5:3
4:3:6
8:6:1
Answer: C
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the followings are divisible by 11?
Choices:
x + y + 4
4x - 9y
4x + 6y
None of these
Answer: B
Question: Set X consists of all the prime numbers between 10 and 25. What is the range of set X?
Choices:
12
16.6
17
23
Answer: A
Question: A and B complete a work in 4 days. A alone can do it in 8 days. If both together can do the work in how many days?
Choices:
3.99 days
2.67 days
2.98 days
2.44 days
Answer: B
Question: If four coins are tossed, the probability of getting two heads and two tails is -.
Choices:
3/8
3/7
2/9
1/7
Answer: A
Question: A jar has 500 marbles. 46% are dark colors, and the remainder light colors. Green, blue, and purple marbles are considered dark colors, and yellow, orange, and red are considered light colors. Green and blue make up 60% of the dark marbles, and there are half as many red marbles as there are purple marbles. What percent of the light marbles are not red?
Choices:
44.1%
44.8%
54.9%
46.2%
Answer: B
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 7/12 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) 10/21
(d) 7/25
(e) 1/2
Answer: C
Question: A sequence of odd integers begins at 61 and ends at 119. What is the sum of all numbers in this sequence?
Choices:
2700
2790
5400
6000
Answer: A
Question: The compound ratio of 1:3, 1:2 and 1:5?
Choices:
1:30
1:7
1:1
1:6
Answer: A
Question: Lilly has 10 fishes, rosy has 7 fishes. Totally how many fishes they have in all?
Choices:
10
6
17
22
Answer: C
Question: Three unbased coins are tossed. the probability of getting at most two head is ?
Choices:
7/8
3/4
1/5
2/3
Answer: A
Question: Pipe A can fill a tank in 3 hours, pipe B in 4 hours, and pipe C in 6 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
1.3
1.6
1.9
2.2
Answer: A
Question: Dhoni spent 25 percent of his earning last month on rent and 10 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?
Choices:
55%
60%
62%
52.5%
Answer: D
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:
20%
29%
90%
70%
Answer: A
Question: The average score of a cricketer for ten matches is 38.9 runs. if the average for the first six matches is 42, then find the average for the last four matches.
Choices:
33.5
34.25
35
None of these
Answer: B
Question: The greatest number that divides 2928 and 3240 leaving remainders 5 and 1 respectively is:
Choices:
78
79
81
85
Answer: B
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
266
288
211
Answer: A
Question: One used-car salesperson receives a commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 4 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?
Choices:
$ 5,000
$ 8,000
$ 10,000
$ 12,000
Answer: A
Question: A first grade teacher uses ten flash cards, each numbered from 1 to10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '2' and '4' from the deck. On that day, how many different correct arrangements of four randomly selected cards are possible?
Choices:
70
336
840
1680
Answer: A
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 70.
Choices:
4
12
32
35
Answer: C
Question: A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 30% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 10% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?
Choices:
$47,500
$82,500
$92,000
$100,000
Answer: A
Question: 40% of a 70% vinegar solution is replaced with water. From the resulting solution, again 10% is replaced with water. This step is repeated once more. What is the concentration of vinegar in the final solution obtained?
Choices:
34%
42%
28%
37%
Answer: A
Question: How many integers between 362,855 and 852,755have tens digit 1 and units digit 3?
Choices:
4,898
4,889
4,869
4,896
Answer: B
Question: What is the unit digit in (4137)^754?
Choices:
48
57
96
9
Answer: D
Question: What is the decimal equivalent of (1/5)^2?
Choices:
0.04
0.16
0.25
0.5
Answer: A
Question: What is the prime factors’ number of 48?
Choices:
3
4
5
6
Answer: C
Question: A truck carrying cans of soup contains A stacks. Each stack contains B cases, and each case contains C cans. How many cans of soup are contained in 3 trucks?
Choices:
3AC/B
3ABC
AB/3C
AC/3B
Answer: B
Question: What is the present worth of Rs. 330 due in 2 years at 5% simple interest per annum?
Choices:
277
120
300
371
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3:1
1:2
3:2
2:1
Answer: C
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.87. How much was lent at 5%?
Choices:
299
300
500
188
Answer: B
Question: The average speed of a train is 87kmph. The train was scheduled to start at 9am in Bangalore, and as per schedule it has to reach a destination of 348km away from Bangalore at 1:45pm same day and a halt was scheduled onthe way. For how long was the halt scheduled?
Choices:
45 minutes
55 minutes
60 minutes
None of these
Answer: A
Question: A code is to be made by arranging 7 letters. Four of the letters used will be the letter A, one of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
Choices:
210
420
840
5,040
Answer: C
Question: The two lines y = x and x = -3 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
Choices:
3/√2
8
2√2
(√2)/3
Answer: A
Question: If the average of 55, 48, 507, 2, 684 and y is 223, then what is y?
Choices:
120
42
868
1
Answer: B
Question: If p/q =4/5, then the value of 1/7 + {(2q - p) / (2q + p)} is ?
Choices:
4 / 7
1
2
3
Answer: A
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.199
Rs.189
Rs.176
Rs.129
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
105
288
266
281
Answer: A
Question: A fair coin with sides marked heads and tails is to be tossed seven times. What is the probability that the coin will land tails side up more than four times?
Choices:
29/128
65/256
70/256
81/256
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.532. Find the actual cost of an article?
Choices:
677
700
2688
1991
Answer: B
Question: What should come in place of the question mark(?) in the following equation?
4 1⁄2 × 4 1⁄3 - 8 1⁄3 ÷ 5 2⁄3 = ?
Choices:
18 1⁄34
1 33⁄34
7⁄17
None of these
Answer: A
Question: The compound ratio of 5:6, 3:2 and 4:5 is?
Choices:
2:7
1:1
1:4
None
Answer: B
Question: If Y < X and XM < YM, what must be true
Choices:
M < Y.
M < 0.
X < 0.
Y < 0.
Answer: B
Question: Seven friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 7-person seating arrangements are possible?
Choices:
3600
5400
7200
9000
Answer: A
Question: A dealer professing to sell his goods at cost price, uses 900gm weight for 1 kg. His gain percent is
Choices:
12 1/3%
11 1/9%
10%
12%
Answer: B
Question: Car ‘X’ covers a distance of 385 kms in 7 hours and car ‘Y’ covers a distance of 715 kms in 13 hrs. What is the difference in the speed of the two cars?
Choices:
1km/hr
3kms/hr
5kms/hr
None of these
Answer: D
Question: In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 65% average total marks, it is necessary for him in third yearly examination to secure marks :
Choices:
350
400
475
500
Answer: C
Question: It's Valentine's day and Alan has promised to cook his girlfriend Alana her favorite meal: fish fingers and custard. Alana will be arriving in one hour exactly. Alan only has a microwave. The fish fingers take 13 minutes to defrost in the microwave and 6 minutes to cook in the microwave. The custard must be prepared after the fish fingers and takes 24 minutes to cook in the microwave and then 6 minutes to cool sufficiently so as not to burn someone's tongue. It will take Alan 1 minute to plate the food. However, Alan is on his Xbox and really wants to play one more game of his football video game before Alana arrives. What is the maximum length of each half of the match that Alan can play to ensure the meal is ready for Alana's arrival?
Choices:
5 minutes
7 minutes
8 minutes
10 minutes
Answer: A
Question: A contractor is engaged for 30days on the condition that he receives Rs.25 for eachday he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?
Choices:
10
17
25
30
Answer: A
Question: In the recent, education conference in US, out of 500 men, 800 women, 1000 children present inside the building premises, 30% of the men, 25% of the women and 35% of the children were Russian. Find the percentage of people who were not Russian?
Choices:
65.23%
62.30%
69.57%
67.23%
Answer: C
Question: Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 5 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
Choices:
53
58
61
63
Answer: A
Question: Suppose that there are n points in the plane and that each of these
points is joined to exactly three of the others by straight line segments.
Then a possible value of n would be
Choices:
15
18
27
39
Answer: B
Question: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in :
Choices:
13 1/3 days
15 days
20 days
30 days
Answer: A
Question: Tough and Tricky questions: Number Properties.
If (z + 6)/8 is an integer, what is remainder when z is divided by 8?
Choices:
2
4
5
6
Answer: A
Question: In a group of 58 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choices:
20
9
8
7
Answer: A
Question: Two cars cover the same distance at the speed of 94 and 90 kmps respectively. Find the distance traveled by them if the slower car takes 2 hour more than the faster car?
Choices:
2827
2356
2780
2614
Answer: A
Question: Raju has 6 balls. Out of which 4 green 2 blue. He'll pick 2 balls.. Whats probability dat it contain 1 blue and 1 green..
Choices:
8/15
9/15
11/15
13/15
Answer: A
Question: The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is?
Choices:
3
5
6
7
Answer: A
Question: Out of the five integral numbers C is the average of A and D. B is greater than C and less than D.Also B is the average of A and E . The middle most number in the sequence
Choices:
B
J
C
D
Answer: A
Question: What is the 10 digit to the right of the decimal point, in the decimal expansion of (1/2)^10?
Choices:
4
2
1
5
Answer: D
Question: Two buses of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
30 sec
40 sec
20 s
50 sec
Answer: C
Question: If s is an odd integer, which of the following must also be odd?
Choices:
s + s
3s + 3
2s + s
s^2 + 1
Answer: C
Question: If the number 481*673 is completely divisible by 9, what is the the smallest whole number in place of *?
Choices:
5
6
7
8
Answer: C
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.83200?
Choices:
81028
105300
29889
22312
Answer: B
Question: If two numbers are in the ratio 2:3. If 14 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
B)18
C)20
D)24
E)28
Answer: D
Question: Find the number of divisors of 1080 excluding the divisors which are perfect squares.
Choices:
28
30
31
32
Answer: A
Question: In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 65, what is the greatest possible value of B × A?
Choices:
5
10
15
25
Answer: B
Question: Joan and Karl each bought a telescopes and the sum of their purchases was $400. If twice of what Joan paid was $74 more than what Karl paid, what did Joan pay for her telescope?
Choices:
$152
$154
$156
$158
Answer: D
Question: A train 385 metres 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:
21 sec
7 sec
10 sec
52
Answer: A
Question: In a apartment, 70% of the people speak English, 10% speak Hindi and 30% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/3
2/5
1/2
2/9
Answer: C
Question: Find the fourth proportional to 2.4, 4.6 and 7.6?
Choices:
14.56
15.23
15.34
16
Answer: A
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
267
111
181
Answer: A
Question: Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability Y that private Benjamin will be chosen for latrine duty?
Choices:
1/5
2/5
3/5
4/5
Answer: B
Question: If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e?
Choices:
175/2
178/3
187/2
197/2
Answer: C
Question: A train 100 m long is running at the speed of 30 km/hr. Find the time taken by it to pass a man standing near the railway line.
Choices:
12 sec.
14 sec.
16 sec.
None
Answer: A
Question: Whats the reminder when 58,458,965,231,457,895,684,525,465,985,445 is divided by 16
Choices:
5
2.
3
9
Answer: A
Question: The 3 digits of a number add up to 11. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the 3 digits?
Choices:
40
78
88
125
Answer: A
Question: Statement: An earthquake measuring 3.7 hit Delhi and its surrounding areas a little before 3 pm today.
Action:
I. Government should immediately provide financial assistance to the families.
II. People should blame the government for not taking appropriate preventive measures.
Choices:
Only II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: C
Question: A can finish a piece of work in 4 days. B can do it in 12 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
4 DAYS
6 DAYS
7 DAYS
8 DAYS
Answer: A
Question: One morning is starts to snow at a constant rate. Later, at 6:00am, a snow plow sets out to clear a straight street. The plow can remove a fixed volume of snow per unit time, in other words its speed it inversely proportional to the depth of the snow. If the plow covered twice as much distance in the first hour as the second hour, what time did it start snowing?
Choices:
3.20 am
5.22 am
6.10 am
2.40 am
Answer: B
Question: If x+y=17z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
Choices:
3z
6z
z/3
3z/2
Answer: B
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 3-letter code words?
Choices:
38
40
42
44
Answer: C
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be?
Choices:
7:3
7:4
7:2
7:1
Answer: A
Question: 10 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Choices:
160
720
1100
1260
Answer: D
Question: A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
Rs. 121
Rs. 129
Rs. 111
Rs. 191
Answer: A
Question: It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
Choices:
15
12
17
10
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 13000, then the share of B is?
Choices:
6000
18000
24009
24002
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
5
2
1
Answer: A
Question: A, E, F, and G ran a race. A said "I did not finish 1st /4th E said "I did not finish 4th" F said "I finished 1st" G said "I finished 4th" If there were no ties and exactly 3 children told the truth, when who finishes 4th?
Choices:
H
K
G
H
Answer: C
Question: A batsman makes a score of 95 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Choices:
50
62
45
56
Answer: C
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
35
75
80
90
Answer: B
Question: A and B start a business jointly. A invests Rs.20000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
B)Rs.16000
C)Rs.12293
D)Rs.12804
E)Rs.12830
Answer: A
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units X digit of (a+2)^2?
Choices:
1
5
6
C. 14
Answer: A
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 1,80,000 earned at the end of 3 years from the start of the business in 2010?
Choices:
Rs.50000
Rs.60000
Rs.70000
None of these
Answer: B
Question: The average of 5 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
26.2
6.5
7.5
12
Answer: C
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 5000, the number of valid votes that the other candidate got, was:
Choices:
1800
2900
2200
2300
Answer: A
Question: Find the product of the local value and absolute value of 2 in 564823
Choices:
40
80
100
18000
Answer: A
Question: If each of 4 subsidiaries of Corporation R has been granted a line of credit of $710,500 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
Choices:
$454,000
$406,000
$313,600
$116,000
Answer: A
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √11 ¤ √11 =
Choices:
44
10
15
20
Answer: A
Question: What is the remainder when 43^92 is divided by 5?
Choices:
1
2
3
4
Answer: A
Question: A and B start a business, with A investing the total capital of Rs.500000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.15000 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
B)590100
C)591900
D)590000
E)927000
Answer: C
Question: What is the maximum number R of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Choices:
32
24
21
15
Answer: B
Question: If x and y are integers such that (x+1)^2 is less than or equal to 49 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Choices:
-16
0
14
16
Answer: A
Question: A cistern normally takes 6 hours to be filled by a tap but because of a leak, 2 hours more. In how many hours will the leak empty a full cistern ?
Choices:
24 hours
26 hours
18 hours
None of these
Answer: A
Question: If the two hands in a clock are 24 minutes divisions apart,then the angle between them is
Choices:
18Â°
24Â°
60Â°
None of these
Answer: D
Question: A train passes a station platform in 24 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:
60
240
157
198
Answer: A
Question: Michael, Steve and Tyler shared a box of cookies. Michael ate 1/8 of the cookies, Steve ate one half and Tyler ate 150 more cookies than Michael. If no cookies remain in the box, how many cookies were in the box?
Choices:
800.
600
550
400
Answer: B
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270
187
1776
191
Answer: A
Question: A 20% product produces 50%. The market value of the product is:
Choices:
Rs. 40
Rs. 45
Rs. 80
Rs. 70
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 58 years now, the son's age five years back was:
Choices:
17
19
22
24
Answer: D
Question: Machine R can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
1/3
4/13
8/29
6/33
Answer: B
Question: If abc < 0 and bc > 0, which of the following must be positive?
Choices:
ac
(a^2)bc
a(b^2)c
xy(z^2)
Answer: B