antoine-444/aqua_rat_dataset huggingface dataset:
Question: Sachin is younger than Rahul by 18 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
63
65
36
24.19
Answer: A
Question: In how many W ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
W=144
12
48
96
Answer: A
Question: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/7
1/8
3/7
None
Answer: A
Question: Express a speed of 16 kmph in meters per second?
Choices:
8 mps
4 mps
7 mps
2 mps
Answer: B
Question: Find the odd man out. 742, 743, 633, 853, 871, 990, 532
Choices:
990
633
742
None of these
Answer: C
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.120 only. Menâ€™s wages are?
Choices:
2Rs
4Rs
9Rs
8Rs
Answer: D
Question: If p, q and r are positive integers and satisfy x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
Choices:
1
9
8
6
Answer: A
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs notepads in packages that contain either 3 notepads of teh same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choices:
8
16
24
32
Answer: B
Question: What is the smallest no. which must be added to 8261955 so as to obtain a sum which is divisible by 11?
Choices:
11
13
15
16
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0
Choices:
If x>=y
If x < y
If X<= Y
x=y or relationship cannot be established
Answer: D
Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 10 minutes, how much time will she spend doing yoga? (rounded to minutes)
Choices:
41 min.
17 min.
23 min.
25 min.
Answer: B
Question: The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 25 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B?
Choices:
25%
10%
45%
180%
Answer: C
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 40 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?
Choices:
10/3
8/3
13/3
7/3
Answer: A
Question: Fred has $200. If he wants to give each of his nine grandkids the same amount of money as a gift, how much money will Fred have left over for himself out of the $200?
Choices:
$2
$4
$7
$8
Answer: A
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.
Choices:
1/12
1/16
1/12
5/12
Answer: A
Question: Divide Rs. 1400 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
368
350
337
639
Answer: B
Question: The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 2|+ 5 is equal to:
Choices:
7
10
12
18
Answer: D
Question: A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 18%?
Choices:
17.70 per kg
16.5 per kg
16 per kg
None of these
Answer: A
Question: A start walking from a place at a uniform speed of 3 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:
3.6 kmph
4 kmph
7 kmph
5.3 kmph
Answer: A
Question: A watch passes through three hands and each person gains 25%. If the third person sells it for $62.50, what did the first person pay for it?
Choices:
$28
$32
$36
$40
Answer: B
Question: List L: ABC, BCA, CAB
In list L above, there are 4 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Choices:
114
152
161
488
Answer: B
Question: At 30 minutes past 5 o'clock, what is the angle between the two hands?
Choices:
60
30
15
5
Answer: C
Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 40%, what is the probability that Karen will be accepted to at least one project?
Choices:
141/250
98/125
67/100
23/50
Answer: B
Question: N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?
Choices:
7
9
None
Cannot be determined
Answer: A
Question: Vikas can cover a distance in 1 hr 24 min by covering (left(dfrac{2}{3}right)^{rd})of the distance at 4 kmph and the rest at 5kmph. The total distance is?
Choices:
5 km
6 km
9 km
11 km
Answer: B
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 175, the runs scored by B are?
A. 15 B. 18
Choices:
18
99
77
42
Answer: D
Question: A money lender lent Rs. 1000 at 3% per year and Rs. 1200 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.
Choices:
3.75
3.88
4.25
4.5
Answer: B
Question: 5 points are marked on a straight line and another 6 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
5
196
21
14
Answer: A
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 7 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Choices:
8 hours
10 hours
12 hours
21 hours
Answer: D
Question: Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.
Choices:
45
49
42
44
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 47 kg, then the weight of B is:
Choices:
39 kg
33 kg
34 kg
None of these
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
266
245
298
211
Answer: B
Question: Which one of the following is not a prime number?
Choices:
61
71
82
91
Answer: D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
4
3
2
Answer: A
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5 hours, then the distance covered at 40 kmph is
Choices:
120km
100km
140km
none of these
Answer: B
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Sunday
Friday
Monday
Thursday
Answer: A
Question: In a barrel of juice there is 30 liters; in a barrel of beer there are 60 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choices:
2:1.
3:1.
4:3.
9:8
Answer: D
Question: If log10 7 = a, then log10 (1/70)is equal to:
Choices:
- (1 + a)
a /10
1 /10a
None of these
Answer: A
Question: Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour, what is his average rate for the entire trip in miles per minute?
Choices:
1/9
3/15
1/4
3/8
Answer: A
Question: A heap of coconuts is divided into groups of 2, 3 and 11 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61
Choices:
B)41
C)51
D)67
E)71
Answer: C
Question: If the average marks of three batches of 65, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
Choices:
54.41
55
57
None
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
400
428
427
402
Answer: A
Question: A certain bag contains 60 balls — 22 white, 18 green, 2 yellow, 15 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.7
0.54
0.85
0.91
Answer: A
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Choices:
11 days
12 days
15 days
10 days
Answer: A
Question: The average height of 35 boys in a class was calculated as 185cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
Choices:
183.29 cm
123.98 cm
149.98 cm
146.89 cm
Answer: A
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Choices:
38
90
88
37
Answer: A
Question: A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4% p.a for 2 years. Find his gain in the transaction per year.
Choices:
150
225
112.5
212.5
Answer: C
Question: Excluding stoppages, the speed of a bus is 80 km/hr and including stoppages, it is 70 km/hr. For how many minutes does the bus stop per hour?
Choices:
10 min
8 min
6 min
5 min
Answer: B
Question: In a group of 50 people, 25 have visited Iceland and 23 have visited Norway. If 21 people have visited both Iceland and Norway, how many people have visited neither country?
Choices:
21
22
23
24
Answer: C
Question: The cost price of a radio is Rs.4800 and it was sold for Rs.4400, find the loss %?
Choices:
8
7
6
4
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 36 and 16?
Choices:
148
314
320
344
Answer: A
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
45
77
88
51
Answer: A
Question: In the following alphabet second half is written first and then the first half is arranged in reverse order.
Then which of the following will be the 5th letter to the left of 16th letter from the right?
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Choices:
S
U
H
K
Answer: A
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Choices:
40
21
79
27
Answer: A
Question: The sum of two numbers is 90 and their difference is 10. Find their product.
Choices:
2000
315
325
335
Answer: A
Question: If |4x+6| = 36, then find the sum of the values of x?
Choices:
-3
3
-5
6
Answer: A
Question: A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 10 months and 7 months respectively. What was the ratio of their investments?
Choices:
12:24:28
20:22:12
25:49:80
None of these
Answer: C
Question: 1,3,5,7,9,..50 find term of sequnce for this?
Choices:
1540
1650
2000
2500
Answer: D
Question: The population of a village is 6000. It decreases annually at the rate of 10% p.a. What will be its population after 2 years?
Choices:
4860
5400
4800
5120
Answer: A
Question: If u+5/v is a prime integer, which of the following must be true?
1.v=5u
2. v is a prime integer
3. u+5/v is ODD.
Choices:
None
2 only
1 and 2 only
2 and 3 only.
Answer: A
Question: There are between 110 and 120 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Choices:
113
115
117
119
Answer: A
Question: A one-foot stick is marked in 1/4 and 1/5 portion. How many total markings will there be, including the end points?
Choices:
16
13
9
11
Answer: C
Question: Beth received 4/12 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
2/7
3/10
7/20
2/8
Answer: D
Question: The sum of a rational number and its reciprocal is 13/6. Find the number.
Choices:
0
1/3 or 3
2/3 or 3/2
2
Answer: C
Question: A baseball card decreased in value 60% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
30%
32%
36%
64%
Answer: D
Question: The average of 11 numbers is 10.6. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
9.2
10
14.8
16
Answer: C
Question: Ganesh is one year more than twice Kumar's age. The sum of their age is 7. How old each?
Choices:
5, 2
2, 5
7, 3
3, 7
Answer: A
Question: A man can row upstream at 35 kmph and downstream at 45 kmph, and then find the speed of the man in still water?
Choices:
34 kmph
40 kmph
45 kmph
65 kmph
Answer: B
Question: which of the following is equivalent to (1-cos^2θ)/cos^2θ
Choices:
sin^2θ
tan^2θ
sec^2θ
None
Answer: B
Question: The average (arithmetic mean) of the even integers from 0 to 120 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 60 inclusive?
Choices:
15
20
30
60
Answer: C
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
A.138
C.48
D.46
E.44
Answer: A
Question: The sum of three consecutive even numbers is 246. What are the numbers?
Choices:
80,82,84
45,47,42
100,102,49
87,88,89
Answer: A
Question: 0,1,2,0.5,2,3,5,1,2,0,2,1,4,2,3,?
Choices:
4
3
2
1
Answer: C
Question: A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33(1/3)% and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is:
Choices:
8
17
15
None of these
Answer: A
Question: A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 6 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
Choices:
0.5< t < 1.5
2.0 < t < 2.5
2.5 < t < 3.0
3 < t < 3.5
Answer: A
Question: It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Choices:
30 days
45 days
54 days
76 days
Answer: A
Question: Yesterday's closing prices of 2,640 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Choices:
726
1,100
1,320
1,440
Answer: D
Question: Rahul went to a shop and bought things worth Rs. 26, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Rs 12.10
Rs 20.70
Rs 16.80
None of these
Answer: B
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
30 ways
50 ways.
60 ways.
70 ways.
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
Choices:
5336
5342
5345
5356
Answer: A
Question: A, B and C invested Rs.6000, Rs.4000 and Rs.10000 respectively, in a partnership business. Find the share of A in profit of Rs.11000 after a year?
Choices:
3300
2667
600
4000
Answer: A
Question: a,b,c,d,e are distinct numbers. if (75-a)(75-b)(75-c)(75-d)(75-e)=2299 then a+b+c+d= ?
Hint:2299 is divisible by 11.
Choices:
292, 306, 270, 282, 280
292, 306, 270, 282, 2228
292, 306, 270, 282, 212
292, 306, 270, 282, 210
Answer: A
Question: The yearly compensation of salesperson Y is $4,000 plus 8 percent of the amount by which the total value of the items sold by the store exceeds $250,000. The yearly compensation of salesperson Z is 12 percent of the amount by which the total value of the items sold by the store exceeds $300,000. In the previous year, both salesperson Y and salesperson Z had the same compensation. What was the yearly compensation of salesperson Y last year?
Choices:
$21,000
$24,000
$30,000
$50,000
Answer: D
Question: If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?
Choices:
27
24
25
26
Answer: A
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
2887
27781
2788
Answer: A
Question: How many seconds will a 250 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
40
15
60
Answer: C
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
287
189
188
112
Answer: B
Question: If the sum of two numbers is 45 and the L.C.M and sum of the reciprocal of the numbers are 120 and 11/120 then HCF of numbers is equal to:
Choices:
5
10
45
4
Answer: A
Question: Find the product of the localvalue and absolutevalue of 7 in 20768?
Choices:
1100
4900
3200
1600
Answer: B
Question: If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Choices:
4m
6m
m/5
8m
Answer: D
Question: Find the odd man out. 187, 264, 346, 473, 682, 781
Choices:
346
781
682
473
Answer: A
Question: There are 1000 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division?
Choices:
35
40
73
75
Answer: B
Question: 8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^8 =
Choices:
8^(b + 1)
7^(7b)
8^b
49^B
Answer: A
Question: If 4/p=8 & 4/q=18 then p-q=?
Choices:
5/18
7/24
8/24
9/24
Answer: A
Question: If (x^2 + 3x - 10)/4≤ x + 1, then x could be represented by which of the following?
Choices:
− 4 ≤ x ≤ 3
− 3 ≤ x ≤ 3
3 ≤ x ≤ 4
− 3 ≤ x ≤ 4
Answer: D
Question: Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.
Choices:
776
287
196
211
Answer: C
Question: How many four letter combinations can be formed using the letters of the word MISTY?
Choices:
80
120
180
240
Answer: B
Question: The G.C.D. of 1.08, 0.36 and 0.9 is:
Choices:
0.9
0.18
0.108
None
Answer: B
Question: 45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours?
Choices:
35
45
55
65
Answer: B
Question: Carmelo and LeBron participate in a eight-person footrace on the basketball court during All-Star Weekend. If all eight contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
Choices:
20160
720
120
42
Answer: A
Question: Find the value of x from this equation? 7(x - 1) = 21
Choices:
2
4
5
6
Answer: B
Question: Jim wishes to buy 3 gifts that cost 19 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
Choices:
$47
$7
$30
$27
Answer: C
Question: A taxi charges v dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
Choices:
cv + 4n-8/200
v + (4cn-8c)/100
v + 100cn/4
4cv(n-2) – 100
Answer: B
Question: If x and y are even integers, which of the following is an odd integer?
Choices:
x-y+2
xy+2
x-y-2
none of these
Answer: D
Question: A student needs 60% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 40 marks, find the maximum marks set for the test.
Choices:
200
220
240
260
Answer: A
Question: If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a third circle?
Choices:
3.6
12,000
3,600
36,000
Answer: B
Question: In a division sum, the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Choices:
129.5
130.5
86
88
Answer: A
Question: Car A leaves the airport at 8:00 am and travels at a constant rate of 40 km per hour. Car B leaves the airport at 8:45 am and travels in the same direction along the same highway at a constant rate of 52 km per hour. At what time will Car B be 9 km ahead of Car A?
Choices:
11:15 am
11:30 am
11:45am
12:00 noon
Answer: D
Question: Find two numbers whose sum is 26 and whose product is 165.
Choices:
10 and 16
11 and 15
14 and 12
18 and 6
Answer: B
Question: If taxi fares were $2.00 for the first 1/5 mile and $0.60 for each 1/5 mile there after, then the taxi fare for a 8-mile ride was
Choices:
$25.20
$25.40
$25.60
$25.50
Answer: B
Question: In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 30800. How many times did he participate in the competition?
Choices:
6
7
8
9
Answer: C
Question: The average of 25 results is 18. The average of first 12 of them is 10 and that of last 12 is 20. Find the 13th result?
Choices:
75
90
100
110
Answer: B
Question: A cistern is normally filled in 8 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
Choices:
20 hours
30 hours
40 hours
50 hours
Answer: C
Question: The speed at which a man can row a boat in still water is 14 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 40 metres?
Choices:
34 seconds
9 seconds
12 seconds
15 seconds
Answer: B
Question: In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?
2 4 6 3 3 1 5 7 8 3 3 3 4 6 2 3 3 3 3 9 7 2 3
Choices:
2
3
4
5
Answer: B
Question: Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per rice. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 3000 kgs of rice more than Farm A. What is the area of Farm A?
Choices:
130 acres
145 acres
160 acres
180 acres
Answer: A
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Choices:
5000
2679
2790
2712
Answer: A
Question: What is the total number of prime numbers less than 60?
Choices:
17
19
20
21
Answer: A
Question: In how many ways can the letters of the word STATE be arranged?
Choices:
60
2520
3000
3478
Answer: A
Question: A small company reduced its faculty by approximately 20 percent to 195 employees. What was the original number of employees?
Choices:
B)208
C)220
D)224
E)244
Answer: D
Question: In Solution P, the proportion of water to alcohol is 5:4. In Solution Q, the proportion of water to alcohol is 7:5. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Choices:
37%
39%
41%
43%
Answer: D
Question: If p and t are positive integers such that p > t > 1, what is the remainder when 92p × 5p+t + 11t × 6pt is divided by 10?
Choices:
B.1
C.3
D.4
E.5
Answer: A
Question: How many prime numbers between 1 and 100 are factors of 1771?
Choices:
6
5
4
3
Answer: D
Question: One day, Raviraj left home and cycled 20 Km southwards, turned right and cycled 10 km and turned right and cycled 20 Km and turned left and cycled 20 Km. How many kilometres will he have to cycle to reach his home straight ?
Choices:
30
40
60
80
Answer: A
Question: When positive integer x is divided by positive integer y, the remainder is 4. If x/y = 96.16, what is the value of y?
Choices:
75
48
25
12
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1260, find the gain percent?
Choices:
20%
40%
74%
83%
Answer: B
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
3/21
5/26
4/25
5/27
Answer: B
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.6. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
0.7
0.8571
0.8333
0.8213
Answer: C
Question: A man purchased 3 blankets @ Rs.100 each, 4 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
A)600
C)450
D)470
E)500
Answer: A
Question: In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 6P pots?
Choices:
M/10
M/60
240M
6M
Answer: A
Question: What percent of a day is 5 hours?
Choices:
16Ã—1/2%
18Ã—2/3%
20Ã—5/6%
None
Answer: C
Question: A bus takes 4 hours to cover a distance of 340 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/2th of the previous time?
Choices:
34 Kmph
33 Kmph
45 Kmph
70 Kmph
Answer: A
Question: Ms. Lopez deposits $ 100 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
Choices:
$120.00
$121.00
$122.00
$140.00
Answer: B
Question: In a parking lot, there are some cars with a spare tire others don't. All together there are 43 tires and 9 cars. How many cars have a spare tire?
Choices:
6
7
8
9
Answer: B
Question: In how many different number of ways a Committee of 4 person of can be selected from 6 boys and 4girls such that at least 1 girl is included in the committee
Choices:
195
80
15
NONE OF THESE
Answer: A
Question: If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is
Choices:
3
4
5
6
Answer: B
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
13√1
13√6
23√5
Answer: A
Question: A class has 10 students.Teacher decided to go the tour.But the seats are available only 7.What is the probability that 7 students have to go out of 10 students?
Choices:
125
120
105
110
Answer: B
Question: The sum of five numbers is 800. The average of the first two numbers is 100 and the third number is 150. Find the average of the two numbers?
Choices:
225
240
260
270
Answer: A
Question: In a class of students, the ratio of girls to boys is 2:5. If 4 more girls joined the class, the ratio would be 3:5. How many students are in the class?
Choices:
20
24
28
32
Answer: C
Question: 1=5,2=4,3=253,4=2,6=15 , then 15= ?
Choices:
255
345
445
6
Answer: D
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 45% alcohol, is?
Choices:
1
5
6
7
Answer: A
Question: The base of a parallelogram is twice its height. If the area of the parallelogram
is 72 sq. cm, find its height.
Choices:
6 cm
7 cm
8 cm
9 cm
Answer: A
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
86 days
30 days
57 days
46 days
Answer: B
Question: At an Iron factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
Choices:
8/17
8/9
9/8
17/8
Answer: A
Question: When Tom works alone he chops 3 lb. salad in 2 minutes, and when Tammy works alone she chops 2 lb. salad in 3 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent Lesser than the quantifying chopped by Tom?
Choices:
100%
15%
125%
400%
Answer: C
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:40
39:49
39:44
39:41
Answer: A
Question: A bag contains 6 black balls and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
3/5
4/7
5/9
7/11
Answer: B
Question: A train has a length of 150 metres. It is passing a man who is moving at 22 km/hr in the same direction of the train, in 33 seconds. Find out the speed of the train.
Choices:
182 km/hr
152 km/hr
169 km/hr
190 km/hr
Answer: A
Question: In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies
Choices:
175
154
200
120
Answer: C
Question: Each of the integers from 2 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Choices:
4
5
6
7
Answer: B
Question: If number x is 10% less than another number y and y is 10% more than 125, then find out the value of x
Choices:
123.85
120.2
150.4
200.2
Answer: A
Question: P alone can complete a piece of work in 11 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
33/4) days
7 (3/4) days
8 (3/4) days
9 (3/4) days
Answer: A
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Choices:
240
228
218
219
Answer: A
Question: What is the greatest possible length which can be used to measure exactly the lengths 12 m, 6 m and 40 m?
Choices:
2m
3m
10 m
20 m
Answer: A
Question: If $0.60 is the commission for sales of $2,000, what percent of the sales amount is the commission?
Choices:
0.3%
0.03%
0.003%
0.0003%
Answer: B
Question: Raju and Reenu are standing in a row there are 9 peoples. what is the probability that at least 3 people will stand between Raju and Reenu
Choices:
5/12
7/12
8/12
9/12
Answer: A
Question: The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 360. The banker's discount is:
Choices:
Rs. 1360
Rs. 360
Rs. 640
None of these
Answer: A
Question: In Smithtown, the ratio of right-handed people to left-handed people is 3 to 1 and the ratio of men to women is 3 to 2. If the number of right-handed men is maximized, then what q percent of all the people in Smithtown are left-handed women?
Choices:
40%
25%
20%
10%
Answer: B
Question: Two dice are thrown together.What is the probability that the sum of the number on the two faces divided by 4?
Choices:
4/9
1/9
2/9
5/9
Answer: C
Question: What number times (1⁄5)^2 will give the value of 5^3?
Choices:
25
125
625
3125
Answer: D
Question: A cab on its way to Bangalore overtakes an auto also going in the same direction at 11 am. The cab reaches Bangalore at 1.30 pm and starts the return journey after taking a break of 1 hour. On its way back it meets the auto at 3 pm. At what time will the auto reach Bangalore?
Choices:
7 p.m
4 p.m
1 p.m
2 p.m
Answer: B
Question: 3 men or 6 women can do a piece of work in 25 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
18/4 days
11/4 days
75/16 days
Answer: D
Question: Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
Choices:
2 days
7 days
5 days
1 days
Answer: C
Question: If I walk at 6 km/h, I miss the bus by 12 minutes. If I walk at 5 km/h, I reach 14 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
Choices:
13km
11 km
6.5 km
5.5 km
Answer: A
Question: The present population of a town is 60,000. The population increases annually at 10%. Find the population after 3 years.
Choices:
79860
76300
82900
None of these
Answer: A
Question: Of the 4 distinguishable wires that lead into an apartment, 2 are for cable television service, and 4 are for telephone service. Using these wires, how many distinct combinations of 3 wires are there such that at least 1 of the wires is for cable television?
Choices:
6
8
9
10
Answer: A
Question: Oak trees line both sides of a street for a length of 4/10 of a kilometer. If there is 15 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?
Choices:
a)	26
c)	24
d)	44
e)	46
Answer: A
Question: The average age of a committee of 8 members is 42 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Choices:
38 years
36 years
35 years
40 years
Answer: D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
9
4
1
Answer: A
Question: David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 50% in the transaction?
Choices:
Rs. 187.50
Rs. 107.50
Rs. 188.50
Rs. 187.00
Answer: A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 90% of the total?
Choices:
572.
618.
644.
666.
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/25
17/22
17/20
17/21
Answer: C
Question: the cost if hiring a bus is shared equally by all passengers.the bus has seats for 40 passengers and the total bill comes to rs.70.37.How many seats went unoccupied?
Choices:
11
10
9
7
Answer: C
Question: A Classroom contains 20 students. Eleven of the students are girls, nine are boys. If two students are randomly selected from the classroom, one after the other, what is the probability that both will be girls?
Choices:
11/38
1/3
21/47
8/9
Answer: A
Question: At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 45 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 40 km/h. If the distance between City P and City Q is 300 km, at what time will the truck and the car meet each other?
Choices:
5:00
5:30
6:00
6:30
Answer: A
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
5/2
5/1
5/6
Answer: A
Question: Of the 100 athletes at a soccer club, 40 play defense and 64 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense could be any number between
Choices:
10 to 40
24 to 40
30 to 70
40 to 70
Answer: B
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a diamond card. If any of these task are successful, then you win the game. What is the probability of winning?
Choices:
5/16
11/12
11/18
11/16
Answer: D
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choices:
8:7
8:9
8:1
8:2
Answer: A
Question: 2 students gave an examination. One of them scored 9 marks more than other and his marks were 56% of the sum of total of both their marks. What are their individual marks?
Choices:
42,31
42,32
42,33
42,34
Answer: C
Question: If the weight of 12 meters long rod is 13.4 kg. What is the weight of 6 meters long rod ?
Choices:
6.7 kg.
12.4 kg.
18.0 kg
None
Answer: A
Question: If two numbers are in the ratio 2:3. If 15 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
B)20
C)25
D)30
E)35
Answer: C
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34 sq m
2.88 sq m
2.98 sq m
2.56 sq m
Answer: A
Question: If a trader sold two cars each at Rs. 325475 and gains 11% on the first and loses 11% on the second, then his profit or loss percent on the whole is?
Choices:
1.21%
1.84%
1.47%
1.24%
Answer: A
Question: If a and b are both odd prime numbers and a < b, then how many different positive integer factors does 2ab have?
Choices:
4
6
8
12
Answer: C
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 30% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.4 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 6 hours?
Choices:
35%
40%
45%
50%
Answer: D
Question: A corporation triples its annual bonus to 50 of its employees. What percent R of the employees’ new bonus is the increase?
Choices:
662⁄3%
100%
200%
300%
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
177
342
165
189
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 28%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
27
68.84
78.45
62.89
Answer: B
Question: There are 5person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
2!*2!
6!*1!
2!*1!
5!*1!
Answer: A
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 1/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
7/15
10/21
14/17
1/2
Answer: C
Question: If a and b are the roots of the equation x2 - 8x + 8 = 0, then the value of a2 + b2 is:
Choices:
48
17
6
5
Answer: A
Question: Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 7th shift?
Choices:
1/54
1/81
1/162
1/1458
Answer: D
Question: A train running at a speed of 60 kmph crosses a pole in 9 seconds.What is the length of the train?
Choices:
180 m
190 m
150 m
160 m
Answer: C
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue?
Choices:
96
48
64
76
Answer: A
Question: 123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
Choices:
8
16
24
32
Answer: B
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Choices:
10
21
20
25
Answer: A
Question: A boat can move upstream at 22 kmph and downstream at 42 kmph, then the speed of the current is?
Choices:
6
7
10
3
Answer: C
Question: A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is the principal amount
Choices:
1500
2000
2500
None of these
Answer: B
Question: If M and N are non-zero integers, and M/N > 1, then which of the following must be true?
Choices:
2M > N
MN > N
M^2< N^2
M^3 < N^3
Answer: B
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 500 per month. What is his monthly salary?
Choices:
Rs.4000
Rs.4167
Rs.4200
Rs.3000
Answer: B
Question: What should be added to 4750 so that it may become a perfect square?
Choices:
11
16
17
18
Answer: A
Question: Ayesha's father was 29 years of age when she was born while her mother was 23 years old when her brother three years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
8 years
9 years
Answer: D
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability Q that all three secretary are assigned at least one report?
Choices:
64/81
4/9
16/81
5/9
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 16 m wide at the top and 4 m wide at the bottom and the area of cross-section is 700 sq m, the depth of cannel is?
Choices:
28
27
80
70
Answer: D
Question: A train passes a station platform in 31 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:
165 m
300 m
365 m
280 m
Answer: A
Question: A store raised the price of an item by exactly 50 percent. Which of the following could NOT be the resulting price of the item?
Choices:
300
275
600
225
Answer: B
Question: The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?
Choices:
27
28
29
32
Answer: A
Question: The ages of two persons differ by 16 years. 5 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Choices:
29
25
30
35
Answer: A
Question: a printer number the page of a book starting with 1 and uses 3189 digits in all How many pages dose the book have ?
Choices:
1074
1075
1080
None of these
Answer: A
Question: A sum of money deposited at compound interest (compounded yearly) amounts to $6200 in 2 years and to $6324 in 3 years. What is the interest rate?
Choices:
2%
4%
5%
6%
Answer: A
Question: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:
Choices:
3h
4h
5h
None of these
Answer: A
Question: Difference between the length &breadth of a rectangle is 18 m. If its perimeter is 206 m, then its area is?
Choices:
2160 m^2
2520 m^2
2560 m^2
2580 m^2
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
79.2
82.5
88.3
95.3
Answer: A
Question: The area of a rectangular field is equal to 50 square meters. Its perimeter is equal to 30 meters. Find the width of this rectangle.
Choices:
5
15
20
25
Answer: A
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Choices:
1
8
6
9
Answer: C
Question: Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Choices:
13/162
13/111
13/102
13/112
Answer: C
Question: The sides of the triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104cm. The length of the longest side is?
Choices:
48cm
50cm
28cm
30cm
Answer: A
Question: A sells a bicycle to B and makes a profit of 25%. B sells the same bicycle to C at a profit of 50%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
Choices:
126
971
611
120
Answer: D
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
8112
8500
7500
6500
Answer: A
Question: How many times are the hands of a clock at right angle in a day?
Choices:
24
44
48
55
Answer: B
Question: A person got Rs.35 more when he invested a certain sum at compound interest instead of simple interest for two years at 12% p.a. Find the sum?
Choices:
14583
15449
14567
2671
Answer: A
Question: If a large pizza has a radius that is 60% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
Choices:
60%
98%
120%
156%
Answer: D
Question: A boy is traveling from his house to school at 10km/hr and reached school 2hours late. Next day he traveled 20km/hr and reached 1hour early. Then find the distance between house and school?
Choices:
45km
33km
60km
54km
Answer: C
Question: How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
Choices:
27 sec
25 sec
24 sec
28 sec
Answer: D
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 81 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8100
6000
5000
4000
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 40%?
Choices:
332.5
277
285
2812
Answer: A
Question: There are 7 people and 4 chairs. In how many different ways people can occupy the chairs?
Choices:
840
712
516
360
Answer: A
Question: x is a positive integer of Z less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Choices:
22
23
24
25
Answer: C