antoine-444/aqua_rat_dataset huggingface dataset:
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/18
31/10
31/19
Answer: A
Question: When positive integer B is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Choices:
b. k -11
c. 4k + 2
d. (k-3)/3 +2
e. B/3
Answer: D
Question: If an average hard drive had a capacity of 0.2 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choices:
5122
768
2048
1536
Answer: C
Question: A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes?
Choices:
45
50
90
2500
Answer: B
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 R % profit made by the merchant?
Choices:
66.67 %
200 %
100 %
33.33 %
Answer: A
Question: If 3 men or 4 women can reap a field in 43 days how long will 7 men and 5 women take to reap it?
Choices:
12
15
18
19
Answer: A
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 840?
Choices:
48
64
84
105
Answer: C
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $42.00, and on Tuesday the store sold 20 maps and 15 books for a total of $70.00. At this store, how much less does a map sell for than a book?
Choices:
$0.50
$3.5
$2.5
$l.25
Answer: B
Question: There are 12 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Choices:
132
165`
400
300
Answer: A
Question: courtyard 3.78 meters long 5.95 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?
Choices:
77
877
99
88
Answer: A
Question: 750 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
b) 15
c) 60
d) 38
e) 12
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
m
m
m
m
Answer: C
Question: The difference between the simple interest received from two different sources on Rs. 500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Choices:
B)6.6%
C)0.3%
D)2.0%
E)1.3%
Answer: A
Question: IF n >0 what is the remainder when 912^n+3 is divided by 10
Choices:
1
2
7
9
Answer: D
Question: The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
Choices:
12/35
2/47
8/9
7/5
Answer: A
Question: If m/49 is an integer, then each of the following must be an integer EXCEPT
Choices:
3
9/2
4
5
Answer: B
Question: If x and y are positive integers, and x^3*y^4 = 432, which of the following is the value of xy?
Choices:
6
14
15
21
Answer: A
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
Choices:
4:3
4:2
4:0
4:1
Answer: A
Question: What is the area S of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Choices:
85.
125.
225.
It cannot be determined from the information given
Answer: C
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Choices:
24 cm
14 cm
10 cm
12 cm
Answer: A
Question: The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income?
Choices:
Rs. 0.8889
Rs. 0.9889
Rs. 1.8889
Rs. 2.8889
Answer: A
Question: The sides of a cube are in the ratio 1:2 the ratio of their volume is?
Choices:
1:7
1:8
1:6
1:4
Answer: B
Question: Nine pens are in the table.To create three pens in each group like as three group. How many ways are there to create these 3 teams?
Choices:
45
90
175
280
Answer: A
Question: With a slope of 4, with a straight line in the xy- plane which has a point with x-coordinate of the point 14 and y-coordinate 19, find the y-intercept.
Choices:
18
-37
50
37
Answer: B
Question: A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?
Choices:
2
6
8
10
Answer: A
Question: If x+y=270, x-y=200, for integers of x and y, y=?
Choices:
235
50
115
150
Answer: A
Question: Subtracting 10% from X is the same as multiplying X by what number?
Choices:
90%
230%
97%
921%
Answer: A
Question: In a simultaneous throw of two coins the probability of getting at least one head is ?
Choices:
3/4
1/4
2/3
1/5
Answer: A
Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum R of the 24 integers ?
Choices:
44,406
60,444
66,660
99,990
Answer: D
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.60 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
165
190
200
210
Answer: A
Question: What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
Choices:
2
5
6
9
Answer: A
Question: Jill is dividing her 12-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Choices:
25
462
252
630
Answer: B
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 35% profit?
Choices:
2160
2299
2778
2771
Answer: A
Question: A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
Choices:
2000
1600
1500
1700
Answer: B
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip
was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the
flight ?
Choices:
2.4 hours
1.4 hours
1 hour
None of these
Answer: C
Question: A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 72.Find the number of notes of Rs.50 denomination.
Choices:
21
17
37
57
Answer: D
Question: A vendor bought bananas at 6 for $10 and sold them at 4 for $6. Find his gain or loss percent?
Choices:
10%
15%
20%
25%
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
Choices:
20/63
20/69
20/61
20/611
Answer: A
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?
Choices:
11:30
12:00
12:30
1:00
Answer: B
Question: A ladder 14 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 5 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
Choices:
5
8
10.72
15
Answer: C
Question: An athlete runs 200 meters race in 10sec. His speed is?
Choices:
15km/hr
30km/hr
72km/hr
40km/hr
Answer: C
Question: What is the compound interest paid on a sum of Rs.3000 for the period of 3 years at 10% per annum.
Choices:
930
990
993
None of these
Answer: C
Question: A ball is bought for Rs.400 and sold at a gain of 20% find its selling price
Choices:
Rs.480/-
Rs.500/-
Rs.520/-
Rs.540/-
Answer: A
Question: In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $2,800 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $8,400 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Choices:
35%
25%
40%
50%
Answer: B
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $18. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
162/(xy)
20xy
20xy/9
xy/180
Answer: A
Question: What is the difference between the place value of 2 in the numeral 7449?
Choices:
360
180
190
200
Answer: A
Question: Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is :
Choices:
29
36
48
58
Answer: C
Question: During a certain week, a seal ate 40% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Choices:
32
55
64
80
Answer: A
Question: If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Choices:
4m
5m
m/5
6m/5
Answer: B
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
Choices:
3 : 2
3 : 4
4 : 3
2 : 1
Answer: B
Question: The average age of a husband and a wife is 23 years when they were married FOUR years ago but now the average age of the husband, wife and child is 19 years(the child was born during the interval). What is the present age of the child?
Choices:
6
8
4
2
Answer: A
Question: John and David work at a hospital with 10 other workers. For an internal review, 2 of the 10 workers will be randomly chosen to be interviewed. What is the probability that John and David will both be chosen?
Choices:
1/45
1/25
1/15
1/10
Answer: A
Question: If x is a positive, single-digit integer such that 4/3*x, 2x, 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: In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 95π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Choices:
210π
240π
320π
380π
Answer: D
Question: If a < b < c , which of the following must be true?
(I) a^2 < b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
Choices:
None
II only
III only
II and III
Answer: A
Question: A bag contains 23 purple jellybeans, 12 green jellybeans, and 15 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Choices:
20%
24%
30%
35%
Answer: B
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Choices:
5 hrs
6.5 hrs
7.2 hrs
9.2 hrs
Answer: C
Question: A lady grows Cauliflower in her garden that is in the shape of a square. Each Cauliflower takes 1 square foot of area in her garden. This year, she has increased her output by 223 Cauliflower when compared to last year. The shape of the area used for growing the Cauliflower has remained a square in both these years. How many Cauliflowers did she produce this year?
Choices:
12542
12544
12545
Cannot be determined
Answer: B
Question: If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g?
Choices:
9
10
14
15
Answer: A
Question: Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly one minute old. If a new cell is placed in an empty box at time t = 0, then how many live cells will be there in the box just after t = 20 minutes?
Choices:
1024 × 1023
(1024)²
1023 × 1025
1023 × 1026
Answer: A
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 6 km each. Then they turned left and ran for another 4.5 km.
What is the distance (in kilometers) between the the two twins when they stop?
Choices:
15
18
21
24
Answer: A
Question: In a certain alphabet, 13 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Choices:
3
14
20
28
Answer: A
Question: 24 is divided into two parts such that 7 times the first part added to 5 times the second part gives 146. The first part is
Choices:
13
16
17
None
Answer: A
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 6-letter code words to the number of 4-letter code words?
Choices:
30 to 1
2 to 1
5 to 1
6 to 1
Answer: A
Question: An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Choices:
2799
3720
2884
2881
Answer: B
Question: Jaime earned enough money by selling seashells at 22 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
Choices:
5
17
25
30
Answer: A
Question: Which number is the odd one out ?
9654 4832 5945 7642 7963 8216 3646
Choices:
3646
5945
7963
8216
Answer: A
Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8410/-. Find out the amount that he borrowed.
Choices:
s. 5269
s. 5461
s. 5218
s. 52192
Answer: B
Question: If 15648 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Options:
8
Choices:
6 books
24 books
18 books
5 books
Answer: A
Question: The simple interest at x% for x years will be Rs. x on a sum of:
Choices:
x^2
100x
100x^2
50x^2
Answer: B
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, inclusive ?
Choices:
0
2
3
4
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. 54?
Choices:
3672
7290
6928
3729
Answer: A
Question: If the time is currently 1:30 pm, what time will it be in exactly 646 hours?
Choices:
11:30 am
1:30 pm
2:30 pm
3:30 pm
Answer: A
Question: A train 250 m long passed a pole in 25 sec. How long will it take to pass a platform 650 m long?
Choices:
90 sec
54 sec
27 sec
22 sec
Answer: A
Question: A barrel full of beer has 2 taps one midway,,which draw a litre in 6 minutes and the other at the bottom,which draws a litre in 4 minutes. The lower tap is lower normally used after the level of beer in the barrel is lower than midway.The capacity of the barrel is 36 litres. A new assistant opens the lower tap when the barrel is full and draws out some beer. As a result the lower tap has been used 24 minutes before the usual time. For how long was the beer drawn out by the new assistant ?
Choices:
16 minutes
17 minutes
18 minutes
None of these
Answer: A
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 16 cm2. Find the lengths of all sides.
Choices:
9 and 6
10 and 7
3 and 10
10 and 10
Answer: A
Question: Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
432 miles
632 miles
732 miles
832 miles
Answer: A
Question: The value of 2*x+x/4+ x(xx) when x = 4 is:
Choices:
63
75
73
45
Answer: C
Question: In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th, 15th, 16th, 17th and 18th terms in sequence S?
Choices:
9(2^15)
21(2^14)
9(2^14)
63(2^13)
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:
886 m
245 m
286 m
281 m
Answer: B
Question: The radius of a cylindrical vessel is 9cm and height is 3cm. Find the whole surface of the cylinder?
Choices:
220 sq cm
440 sq cm
132 sq cm
678.8 sq cm
Answer: D
Question: The ratio of red boxes to blue boxes in a certain warehouse is 5 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
Choices:
60
111
148
244
Answer: A
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts R needed to confirm that each of the 5 keys matches each of the 5 locks?
Choices:
4,15
5,10
4,10
5,20
Answer: C
Question: A train 100 m in length crosses a telegraph post in 12 seconds. The speed of the train is?
Choices:
30 kmph
54 kmph
18 kmph
19 kmph
Answer: A
Question: a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number abcabc, which of the following must be a factor of abcabc?
Choices:
9
11
3
none of these
Answer: B
Question: If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?
Choices:
35
44
46
none
Answer: A
Question: JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?
Choices:
50
55
58
60
Answer: D
Question: Stacy has a 81 page history paper due in 3 days. How many pages per day would she have to write to finish on time?
Choices:
27
10
8.5
6
Answer: A
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choices:
19828.8
19828.82
19888.82
19828.22
Answer: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
272
666
277
311
Answer: B
Question: How many 4-digit positive integers are there, where each digit is positive, and no 3 adjacent digits are same?
Choices:
3528
4096
4608
6561
Answer: A
Question: The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.3. The probability of Matt playing any match is 0.7.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
A)0.844
C)0.8571
D)0.7531
E)0.8213
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
51
21
24
25
Answer: C
Question: The product X of two prime numbers is between 15 and 70. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
Choices:
29
37
44
69
Answer: D
Question: Murali travelled from city A to city B at a speed of 70 kmph and from city B to city C at 30 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 : 3?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 40 years, was replaced by a new person. Find the age of the new person?
Choices:
56
12
17
10
Answer: D
Question: A jet plane is rising vertically with a velocity of 10 m/s. It has reached a certain height when the pilot drops a coin, which takes 4 sec to hit the ground. Assuming that there is no resistance to the motion of the coin, the height of the place and the velocity of the coin on impact with the ground are:
Choices:
38.4 m, 29.2 m/s
26.5 m, 13.5 m/s
26.5 m, 28.7 m/s
26 m
Answer: A
Question: A man visits a shopping mall almost every day and he walks up an up-going escalator that connects the ground and the first floor. If he walks up the escalator step by step it takes him 16 steps to reach the first floor. One day he doubles his stride length (walks up climbing two steps at a time) and it takes him 12 steps to reach the first floor.
Choices:
16
47
48
49
Answer: C
Question: The product of two numbers is 168 and the sum of these two numbers is 26. What is the largest of these two numbers?
Choices:
14
16
18
None of these
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
266
155
100
112
Answer: C
Question: The value of X+3X(5X)(X)when X =2 is:
Choices:
120
122
108
123
Answer: B
Question: Who is second to the right of H?
Choices:
88
166
19
911
Answer: A
Question: The banker's discount on Rs.1800 at 8% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
Choices:
4 months
5 months
6 months
7 months
Answer: C
Question: If p+5/q is a prime integer, which of the following must be true?
1.q=5p
2.q is a prime integer
3. p+5/q is ODD.
Choices:
None
2 only
1 and 2 only
2 and 3 only.
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 120 m long in 25 sec, its length is?
Choices:
180 m
200 m
300 m
None of these
Answer: A
Question: The mean of 50 observations was 41. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Choices:
36.1
36.5
41.5
None
Answer: C
Question: A letter lock consists of three rings each marked with five different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
124
215
197
172
Answer: A
Question: A student gets 70% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
Choices:
75%
45%
55%
65%
Answer: A
Question: A clothing store sells t-shirts arranged on display such that each of the five different colors of t-shirts, orange, green, red, blue, and purple are consecutive in a repeating pattern. If six consecutively displayed t-shirts are purchased, what is the probability that two of the t-shirts are purple?
Choices:
1/25
1/5
3/4
1/20
Answer: B
Question: The price of a certain car this year is $18,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
Choices:
$14,200
$14,400
$14,600
$14,800
Answer: B
Question: Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were SIX times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Choices:
3/4
1/3
2/3
1
Answer: C
Question: A can do a work in 16 days and B can do it in 8 days. In how many days A and B can do the work?
Choices:
5 1/3 days
6 days
8 days
7 days
Answer: A
Question: Nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
Choices:
Rs.117
Rs.116
Rs.115
Rs.114
Answer: A
Question: Reeya obtained 55, 67, 76, 82 and 55 out of 100 in different subjects, What will be the average
Choices:
75
67
85
90
Answer: B
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
11 3/0
11 3/3
11 3/7
11 3/2
Answer: C
Question: Cara took out a charge account at the General Store and agreed to pay 5% simple annual interest. If she charges $54 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Choices:
$56.20
$56.70
$57.20
$57.70
Answer: B
Question: A Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is half the distance between the nest and the lake, what is the average speed, in yards per second, of the bat during the whole flight?
Choices:
40
42
54
65
Answer: C
Question: 12.1212 + 17.0005 – 9.1102 = ?
Choices:
20.011
20.0115.
20.1
0.002
Answer: B
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1239
1300
1456
1635
Answer: D
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
27 sec
12 sec
19 sec
10 sec
Answer: B
Question: In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.845 per pound?
Choices:
1:2
1:1
2:1
5:4
Answer: D
Question: In a particular state, 60% of the counties received some rain on Monday, and 65% of the counties received some rain on Tuesday. No rain fell either day in 25% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
Choices:
40%
50%
60%
67.5%
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
384
356
324
314
Answer: A
Question: The sum of 9 hours 25 minutes and 4 hours 35 minutes is approximately what percent of a day?
Choices:
56%
58%
48%
72%
Answer: B
Question: 8, 24, 12, 36, 18, 54, (....)
Choices:
27
108
72
75
Answer: A
Question: A train 108 m long is moving at a speed of 50 km/hr . It crosses a train 112 m long coming from opposite direction in 6 seconds. What is the speed of the second train?
Choices:
80km/hr
82km/hr
85km/hr
84km/hr
Answer: B
Question: The marching band is made up of 140 musicians. The band wants to form a rectangular formation with A people in a row and B people in a column. If the number of people in a row is more than 4 and less than 35, how many different combinations of rectangular shapes are possible?
Choices:
4
5
6
7
Answer: C
Question: The average of 20, 40 and 150 is twice the average of 10, 30, and which of the following ?
Choices:
2)30
3)65
4)90
5)180
Answer: B
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
200
626
207
227
Answer: A
Question: At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Choices:
18
11
17
12
Answer: D
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
288
200
288
111
Answer: B
Question: A fellow borrowed a certain sum of money at 4% per annum at simple interest and in 4 years the interest amounted to Rs.1260 less than the sum lent. What was the sum lent?
Choices:
1220
1500
1060
1110
Answer: B
Question: On the first day of her vacation, Louisa traveled 250 miles. On the second day, traveling at the same average speed, she traveled 350 miles. If the 250-mile trip took 3 hours less than the 350-mile trip, what was the average speed, in miles per hour?
Choices:
33.33
35
37
39.33
Answer: A
Question: A certain bakery baked a batch of 470 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch?
Choices:
293
413
438
511
Answer: A
Question: An amount of money is to be divided between M, N and O in the ratio of 3:7:12. If the difference between the shares of M and N is Rs.2000, what will be the difference between N and O's share?
Choices:
3000
2866
2500
2678
Answer: C
Question: The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is:
Choices:
40
60
80
100
Answer: B
Question: The width of a rectangular hall is ½ of its length. If the area of the hall is 450 sq.m, what is the difference between its length and breadth?
Choices:
10m
12m
15m
17m
Answer: C
Question: What percent of the different arrangements of the letters of the word AGAHUS are those in which the vowels appear together?
Choices:
25%
20%
40%
25%
Answer: B
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 46.5 meters. How many times did the ball bounce?
Choices:
5
7
8
9
Answer: A
Question: A club wants to mix 15 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
Choices:
30
40
50
60
Answer: A
Question: A batsman of a cricket has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is:
Choices:
48 runs
55 runs
60 runs
None of these
Answer: A
Question: A man goes to shopkeeper and says that if u give me as much as i have ,i will spend Rs.10/- on ur shop. shopkeeper agrees and man moves to another shopkeeper ans asked same. at 3rd shop after all the transaction, he was left with no money. find the initial amount with the man
Choices:
6.75
7.75
8.75
9.75
Answer: C
Question: If a person walks at 15 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choices:
76 km
18 km
10 km
97 km
Answer: C
Question: The present age of a father is 3 years more than three times the age of his son. Five years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
Choices:
38
27
40
48
Answer: B
Question: What percent of the month of April is 20 days?
Choices:
66,66%
60%
64,5%
70%
Answer: A
Question: If P represents the product of the first 14 positive integers, then P is NOT a multiple of
Choices:
84
72
65
34
Answer: D
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.60 only. Menâ€™s wages are?
Choices:
7Rs
8Rs
4Rs
1Rs
Answer: C
Question: Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
Choices:
14,30
16,32
18,34
19,34
Answer: A
Question: On simplification, 3500 – (1000 ÷ 20.50) is equal to :
Choices:
3451.21
2993.03
2984.36
None of these
Answer: A
Question: An alloy weighing 16 ounces is 50% gold. How many ounces of pure gold must be added to create an alloy that is 80% gold?
Choices:
24
9
27
18
Answer: A
Question: Ben and King are partners in a business. Ben is a working partner and King is a sleeping partner in the business. Ben invested Rs.3500 and King invested Rs.7000. Ben receives 7% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.9600, how much did Ben receive?
Choices:
3648
3548
4648
3628
Answer: A
Question: Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 3?
Choices:
820
1040
1260
1480
Answer: C
Question: The average age of three boys is 10 years and their ages are in proportion 2:4:4. What is the age in years of the youngest boy?
Choices:
6
8
4
2
Answer: A
Question: Of the 200 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 30 percent of the employees prefer City Y and 70 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Choices:
110
115
130
135
Answer: A
Question: How many zeros are the end of 380! ?
Choices:
91
94
None
95
Answer: B
Question: (0.0077)(3.6) / (0.04)(0.1)(0.007)=
Choices:
0.0099
9.9
990
99
Answer: C
Question: A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 35 hours, 50 percent worked 40 hours, and the rest worked 50 hours?
Choices:
$185,000
$190,000
$207,500
$205,000
Answer: C
Question: In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Choices:
26 m
28m
29m
30m
Answer: B
Question: The radius of the two circular fields is in the ratio 3: 7 the area of the first field is what percent less than the area of the second?
Choices:
84.2%
81.0%
80.6%
81.6%
Answer: D
Question: If the perimeter of a rectangular playground is 1200 m, its length when its breadth is 500 m is?
Choices:
200
100
400
500
Answer: B
Question: Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 1600 then loss of Pyarelal?
Choices:
700
840
940
1440
Answer: D
Question: A tradesman by means of his false balance defrauds to the extent of 14%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
29.96%
24.45%
24%
45%
Answer: A
Question: Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
Choices:
420
700
2,520
5,040
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.52
23.51
23.56
23.57
Answer: D
Question: The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
Choices:
Rs.500
Rs.520
Rs.512
Rs.132
Answer: A
Question: 1000 men have provisions for 18 days. If 400 more men join them, for how many days will the provisions last now?
Choices:
12.8
12.6
12.2
12.1
Answer: A
Question: A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 25 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
Choices:
44%
50%
35%
38%
Answer: B
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choices:
21/41
21/47
21/45
21/46
Answer: D
Question: A circular ground whose diameter is 35 metres, has a 1.4 metre-broad garden around it. What is the area of the garden in square metres?
Choices:
160.16
122.66
Data inadequate
None of these
Answer: A
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,000, what is the bonds face value?
Choices:
$6,750
$6,400
$7,500
$9,375
Answer: B
Question: If 100 microns = 1 decimeter, and 10,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
100
0.01
0.0001
0.0001
Answer: A
Question: The product of all the prime numbers less than 15 is closest to which of the following powers of 10 ?
Choices:
10^8
10^5
10^6
10^7
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/99
33/95
33/92
Answer: A
Question: If the sum of the first n positive integers is S, what is the sum of the first n negative even integers, in terms of S ?
Choices:
S
2S
2S + 2
4S
Answer: B
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 10% lemonade syrup?
Choices:
1.75
2.14
2.34
2.64
Answer: B
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3â„5 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Choices:
13 1â„2
14 3/5
Data inadequate
None of these
Answer: B
Question: Yearly subscription to professional magazines cost a company $940.00. To Make a 35% cut in the magazine budget, how much less must be spent?
Choices:
655
611
657
658
Answer: B
Question: The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 9 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
Choices:
18 1/2
18 3/4
19
23
Answer: D
Question: How many two-digit numbers are there whose remainder when divided by 13 is 1, and whose remainder when divided by 6 is 5?
Choices:
4
5
6
7
Answer: C
Question: A boat can travel with a speed of 16 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 60 km downstream.
Choices:
3 hours.
4 hours.
5 hours.
6 hours.
Answer: A
Question: The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Choices:
30
99
38
27
Answer: A
Question: Look at this series: XXIV, XX, __, XII, VIII, ... What number should fill the blank?
Choices:
XVI
XII
VII
VI
Answer: A
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
219
120
165
287
Answer: B
Question: A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is?
Choices:
67
87
85
65
Answer: C
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
77 sec
14 sec
12
Answer: A
Question: A woman has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
90
100
110
None
Answer: A
Question: At a reception, one-third of the guests departed at a certain time. Later two-fifths of the guests departed. Even later two-thirds of the remaining guests departed. If six people were left, how many were originally present at the party?
Choices:
37
20
45 people
27
Answer: C
Question: Three students appear at an examination of Mathematics. The probability of their success are 1/3, 3/4, 1/5 respectively. Find the probability of success of at least two.
Choices:
11/30
13/30
3/50
4/50
Answer: A
Question: Find the value of 4 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Choices:
3200
900
1600
None
Answer: A
Question: A drink vendor has 20 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
Choices:
137
142
130
133
Answer: D
Question: The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
Choices:
21:34
21:22
31:20
21:39
Answer: B
Question: nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
Choices:
451
175
145
117
Answer: D
Question: (a-b)/(c/2)
In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the least possible value of the expression?
Choices:
2/4
4/2
1/2
3/4
Answer: A
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
26
28
29
Answer: A
Question: A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $10 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?
Choices:
18,667
21,429
35,000
56,000
Answer: D
Question: The HCF of two numbers is 40 and the other two factors of their LCM are 11 and 12. What is the largest number.
Choices:
450
488
480
555
Answer: C
Question: The speed at which a man can row a boat in still water is 10 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 60 metres?
Choices:
18 seconds
14 seconds
12 seconds
15 seconds
Answer: A
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 80 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Choices:
48
20
24
30
Answer: A
Question: Find the number of factors of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Choices:
2
3
4
6
Answer: D
Question: What is the greatest number which divides 29, 32, 38 and leaves same remainder in each case?
Choices:
3
4
5
6
Answer: A
Question: How many positive integers will divide evenly into 420?
Choices:
12
16
18
20
Answer: A
Question: A student chose a number, multiplied it by 3, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
80
130
140
150
Answer: A
Question: Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 10 percent travel, 10 percent on clothes and the remaining amount of Rs.20000 is saved. What is Ajayâ€™s income?
Choices:
Rs.40000
Rs.60700
Rs.70500
None of these
Answer: A
Question: if you invested $25000 and received $35251 after 10 years. what was the interest rate?
Choices:
0.25%
0.04%
0.50%
0.40%
Answer: D
Question: The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 14 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12
Choices:
II only
III only
I and III only
I, II, and III
Answer: D
Question: What is the number of integers from 1 to 1100 (inclusive) that are divisible by neither 11 nor by 35?
Choices:
890
892
910
945
Answer: D
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
7 : 3
9 : 2
13 : 4
13 : 6
Answer: A
Question: A vendor sold two things at same cost of 15 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much
Choices:
0.75 loss
0.80 loss
0.55 loss
0.40 loss
Answer: A
Question: If 3 pounds of dried apricots that cost x dollars per pound are mixed with 4 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?
Choices:
(3x + 4y)/5
(3x + 4y)/(xy)
5(3x + 4y)
3x + 4y
Answer: A
Question: What will be the cost of building a fence around a rectangular plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 50?
Choices:
B)Rs.3948
C)Rs.3519.5
D)Rs.3949
E)Rs.3923
Answer: B
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.20 of money?
Choices:
1992
9921
2798
2000
Answer: D
Question: What is the last number in a sequence of 5 consecutive integers, given that their sum is 335?
Choices:
69
68
66
67
Answer: A
Question: If two numbers are in the ratio 5:2. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the smallest number?
Choices:
2
4
6
8
Answer: A
Question: Amy invested Rs. 30000 @ 8% per annum for two years. If the interest is compounded quarterly, then the amount received by Amy at the end of the year will be?
Choices:
35,149.87
35,148.97
35,147.98
35,149.78
Answer: D
Question: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
8828
8628
8891
8812
Answer: B
Question: The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Choices:
3
4
6
7
Answer: A
Question: Two water bottles are in side-by-side. One bottle, which is 25 inches tall, casts a shadow that is 50
inches long. The other bottle is 30 inches tall. Compute, in inches, the length of the shadow that
the taller bottle casts.
Choices:
25
40
50
60
Answer: D
Question: 15 ants can move 600 sugar cubes of 10 grams each to their home in 5 hours. Then how many sugar cubes of 5 grams each, will 20 ants move in 3 hours?
Choices:
480
720
960
1000
Answer: C
Question: If w/x = 5/7 and w/y = 4/7, then (x + y)/y =
Choices:
7/3
6/7
1/5
11/13
Answer: A
Question: Which from the options has the highest value?
Choices:
B)23/78
C)23/84
D)23/87
E)23/43
Answer: D
Question: The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.8 kg. the weight of the new student is ?
Choices:
10.8 kg
11 kg
14.9 kg
None
Answer: B
Question: How many three-digit integers between 310 and 400, exclusive, are divisible by 3 when the ones digit and the hundered digit are switched?
Choices:
19
22
30
90
Answer: C
Question: An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 62 percent of the votes cast?
Choices:
58%
42%
34%
25.83%
Answer: D
Question: A crate measures 2 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
Choices:
2
6
8
12
Answer: A
Question: If 4<(7-x)/2, which of the following must be true?
I. 5<x
II. |x+3|>2
III. -(x+5) is positive
Choices:
III only
I and II only
II and III only
I, II and III
Answer: A
Question: If 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Choices:
42
36
44
45
Answer: B