antoine-444/aqua_rat_dataset huggingface dataset:
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
77
16
10
98
Answer: C
Question: Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 1500
Choices:
70
210
300
150
Answer: D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/4
3/1
3/6
Answer: A
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 14 and 15. The larger of the two numbers is:
Choices:
278
345
231
121
Answer: B
Question: If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 126, what is the common ratio of the G.P?
Choices:
1/3
2
5
1/5
Answer: C
Question: A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Ten employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choices:
B)9
C)10
D)11
E)26
Answer: C
Question: A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men ?
Choices:
68
74
82
69
Answer: D
Question: A train covers a certain distance at a speed of 320kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of
Choices:
1152km/hr
1650km/hr
1750km/hr
1850km/hr
Answer: A
Question: Thirty percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the men are non-science majors if 40% of the class are men?
Choices:
5%
28%
30%
95%
Answer: D
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
Choices:
1:3
1:8
1:1
1:2
Answer: B
Question: How many integers are there between 42 and 97, inclusive?
Choices:
55
56
57
58
Answer: B
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 20 miles per hour and the rest of the distance at an average speed of 80 miles per hour. In terms of x, what was Francineâ€™s average speed for the entire trip?
Choices:
(x+60)/4
(300-x)/5
600/(115-x)
8,000/(400-4x)
Answer: D
Question: Which of the following describes all values of x for which 2–x^2 >= 0?
Choices:
x <= –1
0 <= x <= 2
x <= –1 or x >= 1
–2 <= x <= 2
Answer: D
Question: A man buys an item at Rs. 800 and sells it at the loss of 20 percent. Then what is the selling price of that item
Choices:
Rs. 640
Rs. 860
Rs. 960
None of these
Answer: A
Question: A freight elevator can carry a maximum load of 1200 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
Choices:
25
190
215
210
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
5/1
5/2
5/5
Answer: A
Question: Sujit incurred a loss of 45% on selling an article for Rs.3410/-. What was the cost price of the article?
Choices:
Rs.6200/-
Rs.6250/-
Rs.6750/-
None of these
Answer: A
Question: Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Choices:
5
4
7
2
Answer: C
Question: Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 7 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Choices:
2.5 hours
5.5 hours
1.5 hour
None of these
Answer: A
Question: Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 60 watch exactly two channels. How many watch exactly one channel?
Choices:
180
170
190
195
Answer: B
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choices:
36
38
40
50
Answer: C
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 6001
Rs. 6991
Rs. 7991
Answer: A
Question: If the wages of 6 men for 15 days be Rs.2100, then find the wages of
for 12 days.
Choices:
Rs. 2520
Rs. 2500
Rs. 1520
Rs. 3520
Answer: A
Question: what is the smallest integer that is multiple of 5,7,11
Choices:
B)35
C)385
D)280
E)140
Answer: B
Question: A and B together can complete one-ninth of a job in a day. What is the difference between the maximum and minimum number of days A could take to complete the job alone, if A and B take whole number of days to complete the job alone?
Choices:
B.60
C.80
D.90
be determined
Answer: B
Question: What is the rate percent when the simple interest on Rs.910 amount to Rs.260 in 4 Years?
Choices:
7.14
5.14
3.14
2.14
Answer: A
Question: Evaluate permutation
8P8
Choices:
40300
40310
40320
40330
Answer: C
Question: 1. If the product of 6 integers is negative, at most how many of the integers can be negative?
Choices:
3
4
5
6
Answer: C
Question: The ratio of the incomes of Rajan and Balan is 7:6 and the ratio of their expenditure is 6:5. If at the end of the year, each saves $1000 then the income of Rajan is?
Choices:
$7000
$8000
$9000
$5000
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/3
2/5
2/9
3/7
Answer: B
Question: If a and b are integers and (a*b)^5 = 128y, y could be:
Choices:
2
4
8
16
Answer: C
Question: A car rental company charges for mileage as follows: 10 dollars per mile for the first n miles and 11 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Choices:
5d-n
3*11d-n
11d-n
4d-n
Answer: C
Question: On dividing a number by 357, we get 39 as remainder.On dividing the same number by 17, what will be the remainder ?
Choices:
5
8
7
2
Answer: A
Question: The variables m and n are positive integers. When m is divided by 4, there is a remainder of 5, and when n is divided by 3, there is a remainder of 4. Which of the following are possible values of m + n?
I. 50
II. 70
III. 92
Choices:
I only
I and II
I​ and III
II and III
Answer: A
Question: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day?
Choices:
102
104
106
108
Answer: A
Question: March 11, 2003 is a Tuesday. What will be the day on which march 11 2004 comes??
Choices:
Thursday
Saturday
Sunday
Monday
Answer: A
Question: Two electronic musical instruments were purchased for 8000. The first was sold at a profit of 40% and the second at loss of 40%. If the sale price was the same in both the cases, what was the cost price of two electronic musical instruments?
Choices:
2200, 5500
2400, 5000
2400, 5600
None of these
Answer: C
Question: What is the average of first 21 multiples of 7 ?
Choices:
77
66
57
50
Answer: A
Question: A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 200 lemons are used, how many limes are needed?
Choices:
200
300
700
1400
Answer: C
Question: What is the compound interest paid on a sum of Rs.4500 for the period of 2 years at 10% per annum.
Choices:
945
610
600
None of these
Answer: A
Question: Combine terms: 8a + 26b -4b – 16a.
Choices:
-28a + 30b
-8a + 22b
28a + 30b
5a + 30b
Answer: B
Question: 8 cups of milk are to be poured into a 4-cup bottle and a 8-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 8-cup bottle?
Choices:
16/3
5/2
4/3
3
Answer: A
Question: Which number should replace both the asterisks in (* /20) x (*/80) = 1 ?
Choices:
40
60
80
120
Answer: A
Question: Mrs. Rodger got a weekly raise of $148. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$141
$142
$148
$145
Answer: C
Question: In a class there are 20 boys and 24 girls. In how many ways can a boy and a girl be selected?
Choices:
480
800
570
503
Answer: A
Question: The average temperature in Lincoln in July is 85 degrees. Last
Wednesday, it was 90 degrees. Today it was 15 degrees cooler than
last Wednesday. What was the temperature today?
Choices:
25 degrees
75 degrees
45 degrees
55 degrees
Answer: B
Question: Boys and girls in a class are writing letters. There are twice as many girls as boys in the class, and each girl writes 3 more letters than each boy. If boys write 24 of the 90 total letters written by the class, how many letters does each boy write?
Choices:
4
6
8
12
Answer: C
Question: In how many different orders can the people Alice, benjamin Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, David, Charlene must be on the line before each of Frederick, Gale, and Harold?
Choices:
2016
1,512
2,018
2,268
Answer: A
Question: Deby normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Deby averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
Choices:
105
95
75
45
Answer: C
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 4 m and still him by 15 seconds, what is the speed of B ?
Choices:
5.06 km/hr.
5.76 km/hr.
6.76 km/hr.
5.72 km/hr.
Answer: B
Question: A boat running up stram takes 4 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Choices:
5 : 6
4 : 5
3 : 1
8 : 1
Answer: C
Question: Jane received an assorted bouquet of 25 flowers which included 8 white flowers,7 lavender flowers and 9 purple flowers.
She closed her eyes a pulled one flower from the bouquet. She opened her eyes, noticed that it was white and placed it aside. She closed her eyes and pulled a 2nd flower from the bouquet. What is the probability that the 2nd flower will also be white?
Choices:
7/24
7/25
8/25
9/15
Answer: A
Question: A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village
Choices:
20
276
198
171
Answer: A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
Choices:
185
198
221
240
Answer: A
Question: Let R1 and R2 respectively denote the maximum and minimum possible remainders when (276)n is divided by 91 for any natural number n,n>= 144. Find R1+R2.
Choices:
90
91
92
93
Answer: A
Question: Set A contains all the even numbers between 12 and 60 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
1250
1650
2050
2450
Answer: A
Question: The average (arithmetic mean) of four different positive integers is 10. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
Choices:
4
3
2
0
Answer: D
Question: 38, 85, 22,75, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above?
Choices:
b- 68
c- 69
d- 71
e- 78.5
Answer: D
Question: Here is a simple arithmetical puzzle in his own flowery, poetical language.
If one-fifth of a hive of bees flew to the badamba flower, one-third flew to the slandbara, three times the difference of these two numbers flew to an arbour, and one bee continued to fly about, attracted on each side by the fragrant Ketaki and Malati, what was the total number of bees?
Choices:
15
18
17
19
Answer: A
Question: Machine A and machine R are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine R. Machine R produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
6
60
100
110
Answer: A
Question: How many positive even integers less than 100 contain digits 3 or 9?
Choices:
17
18
19
10
Answer: D
Question: For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 2| + |-b| + |b – a| + |ab| =
Choices:
ab + 2b + 2
ab + 2b – 2a – 3
-ab + 2b + 3
ab + 3
Answer: A
Question: Rathi took a loan for 6 years at the rate of 5% per annum on Simple Interest, If the total interest paid was Rs. 1230, Find the principal amount?
Choices:
3500
3100
4100
5000
Answer: C
Question: Winson will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choices:
140
150
220
280
Answer: C
Question: A military garrison in a wild frontier has 600 men who have provisions to last 22 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
Choices:
12 1/3
10 2/3
12 1/2
12 3/4
Answer: B
Question: I sold a book at a profit of 10%. Had I sold it for $110 more, 15% would have been gained. Find the cost price?
Choices:
$2200
$3000
$3120
$1540
Answer: A
Question: eleven books,consisting of 5 engineering books , 4 maths books,2 physics books are arranged in a shelf at random .what is the probability that books of each kind are all together?
Choices:
0.001443
0.003443
0.004443
0.005443
Answer: A
Question: If x > 6 and y < -6, then which of the following must be true ?
Choices:
x/y < -1
x/y < 0
x + y > 0
xy > 0
Answer: C
Question: If the probability of rain on any given day in City X is 50%, what is probability that it rains on exactly 3 days in a 4 day period?
Choices:
1/4
1/8
1/16
3/16
Answer: A
Question: An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
Choices:
10 sec
12 sec
8 sec
9 sec
Answer: A
Question: A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
Choices:
360 kg
400 kg
600 kg
700 kg
Answer: C
Question: A bullet train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
Choices:
180 m
260 m
224 m
239 m
Answer: A
Question: A and B tanks are there. 1/8th of the tank B is filled in 22Hrs. What is time to fill the full tank
Choices:
176
177
178
179
Answer: A
Question: Jerry is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 mint , and the remainder an even mixture of salt, pepper and sugar. If Jerry accidentally doubles the mint and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
Choices:
15/29
5/16
1/2
13/27
Answer: A
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
Choices:
0.2
0.25
0.3
0.33
Answer: A
Question: If CRY is coded as MRYC then how will GET be coded?
Choices:
MGET
MEGT
METG
None of these
Answer: C
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
66 cm2
54 cm2
44 cm2
35 cm2
Answer: D
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
17
25
27
12
Answer: B
Question: A motorist knows five different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
Choices:
8
12
24
30
Answer: D
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
88 liters
10 liters
45 liters
8 liters
Answer: B
Question: A number whose one-fourth part is increased by 5 is equal to the third part diminished by 5.
Choices:
80
120
60
50
Answer: B
Question: When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 5. If 1 < m < 300, what is the greatest possible value of m?
Choices:
180
200
220
240
Answer: B
Question: What should come in place of the question mark(?) in each of the following questions ?
6% of 350+ (?)% of 200 = 75% of 40
Choices:
4.5
5.5
7
8
Answer: A
Question: If a is an odd integer and b is an even integer which of the following must be an integer :
Choices:
ab
2a+b
2(a+b)
option B C and D
Answer: D
Question: In Jessica's opinion, her weight is greater than 65 kg but less than 72 kg. Her brother doest not agree with Jessica and he thinks that Jessica's weight is greater than 60 kg but less than 70 kg. Her mother's view is that her weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Jessica?
Choices:
67 kg.
69 kg.
Data inadequate
None of these
Answer: A
Question: List D consists of 12 consecutive integers. If -4 is the least integer in list D, what is the range of positive integers in list D?
Choices:
6
7
11
12
Answer: A
Question: If n and k are integers whose product is 4900, which of the following statements must be true?
Choices:
n does not equal k
Either n or k is a multiple of 10
If n is even, then k is odd
If n is odd, then k is even
Answer: D
Question: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
130
120
150
145
Answer: D
Question: Find the best average of the first 10 multiples of 7....
Choices:
38.5
40
43.5
55.5
Answer: A
Question: What is 35% of 4/13 of 845?
Choices:
69
80
91
102
Answer: B
Question: Which of these expressions has the greatest value?
Choices:
1288542/1288743
1354321/1314325
1608521/1608526
1532156/1532159
Answer: B
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/7, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
Choices:
2/9
1/2
4/9
2/3
Answer: B
Question: What day of the week does May 28 2006 fall on
Choices:
Monday
Sunday
Thursday
Tuesday
Answer: B
Question: If $2000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Choices:
2000 (1.056)^3
2000 (1+3(0.056))
2000 (1+(0.056)^3)
2000 (3+1.056)
Answer: A
Question: The heights of three individuals are in the ratio 4 : 5 : 6. If the sum of the heights of the heaviest and the lightest boy is 150cm more than the height of the third boy, what is the weight of the lightest boy?
Choices:
120cm
160cm
190cm
of these
Answer: A
Question: The sum of number of boys and girls in a school is 400. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Choices:
40
60
80
70
Answer: C
Question: Given the two equations 5r + s = 26 and r + 5s = 10, by how much does r exceed s?
Choices:
4
5
6
7
Answer: A
Question: The sum of first six prime numbers is?
Choices:
23
24
28
41
Answer: D
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Choices:
320 km
360 km
430 km
670 km
Answer: B
Question: 15% of a certain number is subtracted from 299, the result is the same number. What is the number?
Choices:
260
365
175
238
Answer: A
Question: Set S consists of integers {1,2,3,4}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 6?
Choices:
P(E)=1/6
2/3
2/5
3/7
Answer: A
Question: Three hoses work to fill a tub at at different rate. Hose P and B, working together, can fill the tub in 6/5 of an hour. Hoses P and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
Choices:
2/5
1/2
1
6/5
Answer: C
Question: In a rectangular coordinate system, points O (2,0), P (2,8), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Choices:
(4,3)
(5,4)
(4,4)
(5,3)
Answer: B
Question: The population of a town is 10000. It increases annually at the rate of 10% p.a. What will be its population after 2 years?
Choices:
12350
12100
12500
12600
Answer: B
Question: The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 72, then 1/m + 1/n is equal to
Choices:
3/35
5/37
2/35
None
Answer: C
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
3
4
9
1
Answer: A
Question: When a random experiment is conducted, the probability that event A occurs is 1/4. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?
Choices:
27/128
33/140
37/165
41/187
Answer: A
Question: A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
5.1
6
9
3
Answer: A
Question: A coin is tossed 6 times. What is the probability of getting exactly 5 heads?
Choices:
3/16
5/16
3/32
7/64
Answer: C
Question: If a + b = x and a - b = y , then 3ab =
can someone explain!
Choices:
(3x^2 - 3y^2)/4
3x+3y/2
3x - 3y/2
3x^2 - 3y^2/2
Answer: A
Question: Set A contains all the even numbers between 32 and 80 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
550
650
750
850
Answer: C
Question: When Q is divided by 9, the remainder is 4. All of the following are possible values of Q, except for which of the following?
Choices:
31
49
57
67
Answer: C
Question: The price of 80 apples is equal to that of 120 oranges. The price of 60 apples and 75 oranges together is Rs.1320. The total price of 25 apples and 40 oranges is
Choices:
620
720
480
700
Answer: A
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is
Rs. 30 in all, how many 5 p coins are there?
Choices:
150
120
110
140
Answer: A
Question: Sally has $100 in pennies. She wants to stack her pennies into three large piles and five small piles. The large piles are all the same size, and the small piles are all the same size. Additionally, Sally wants all of the small piles put together to equal one of the large piles. How many pennies does Sally put in one of the small piles?
Choices:
500 pennies
250 pennies
100 pennies
50 pennies
Answer: A
Question: If 32.5% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
330
550
594
880
Answer: C
Question: The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
Choices:
25
40
45
75
Answer: A
Question: A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by?
Choices:
3600
2787
1287
3627
Answer: A
Question: A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 900. Find the sum?
Choices:
s. 9000
s. 15000
s. 17000
s. 27000
Answer: B
Question: If an integer n is divisible by3, 5, 12. what is the next larger integer divisible by all these numbers
Choices:
n+5
n+12
n+60
n+15
Answer: C
Question: If it is 6:12 in the evening on a certain day, what time in the morning was it exactly 1,440,711 minutes earlier? (Assume standard time in one location.)
Choices:
6:15
6:18
6:21
6:24
Answer: C
Question: x^2-y^2= 16 and 2. xy=4 so find out x+y=? tell that both statement are required to find out the value of x+Y
Choices:
7
8
9
5
Answer: B
Question: A number increased by 20% gives 480. The number is
Choices:
400
450
500
520
Answer: A
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Choices:
3
2
1
8
Answer: B
Question: A company has two models of computers, model P and model Q. Operating at a constant rate, a model P computer can complete a certain task in 12 minutes and a model Q computer can complete the same task in 6 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model P computers were used?
Choices:
4
1
5
6
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
3
5
6
7
Answer: A
Question: mr. depak has $459,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends?
Options:
Choices:
$0
$3
$4
$6
Answer: A
Question: A person standing on a railway platform noticed that a train took 21 seconds to completely pass through the platform which was 84m long and it took 9 seconds in passing him.Find the speed of the train?
Choices:
5m/sec
12m/sec
7m/sec
None
Answer: C
Question: If A is a positive integer, which of the following must be odd?
Choices:
A^2+A
A^2+A+1
x^2−1
3x^2−3
Answer: B
Question: 6, 11, 21, 36, 56, 81, 111, 146, 186, 231 ?
Choices:
711
811
611
281
Answer: D
Question: How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Choices:
11!/(2!*2!*2!)
56
23
11!/(3!*2!*2!*2!)
Answer: B
Question: George has 8 candies in a bag, 3 of which are sweet while the other 5 are sour. He pulls out 2 of the candies simultaneously, and at random. What is the probability that exactly one of the candies he picked is sour?
Choices:
3/15
2/28
3/5
15/28
Answer: D
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
267
266
123
Answer: A
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 21 hrs and a machine of type S does the same job in 42 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
7
8
9
10
Answer: A
Question: A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the end nearest to the cow. Seeing this cow ran towards the train and managed to escape when the train was 2m away from the bridge. If it had run in opposite direction(i.e away from the train) it would have been hit by the train 2m before the end of the bridge. What is the length of bridge in meters assuming speed of the train is 4 times that of the cow.
Choices:
32
40
44
50
Answer: A
Question: A fort had provision of food for 150 men for 30 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
24
42
54
48
Answer: A
Question: The number of diagonals of a polygon of n sides is given by the formula q=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Choices:
5
6
7
8
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 4% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:5
5:7
5:4
5:2
Answer: B
Question: What number comes next in the following number series? 12, 50, 202, 810, 3242, _____
Choices:
12800
12970
13015
16000
Answer: B
Question: A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there?
Choices:
4 brothers and 3 sisters
3 brothers and 3 sisters
4 brothers and 5 sisters
4 brothers and 6 sisters
Answer: A
Question: The ages of Old and Young total 48. Old is twice as old as Young was when Old was half as old as Young will be when Young is three times as Old was when Old was three times as old as Young. How old is Old?
Choices:
27
12
43
37
Answer: B
Question: In a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. How many members play both badminton and tennis?
Choices:
21
20
26
27
Answer: A
Question: he population of a city is 110,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Choices:
123596
123776
123728
123718
Answer: A
Question: Combine terms: 6a + 26b -4b – 16a.
Choices:
-28a + 30b
-10a + 22b
28a + 30b
5a + 30b
Answer: B
Question: Saturn travels around the Sun at an approximate speed of 5.82 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
Choices:
31,650
32,740
33,830
34,920
Answer: D
Question: A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?
Choices:
12 days
15 days
20 days
18 days
Answer: A
Question: The bear alarm at Grizzly’s Peak ski resort sounds an average of once every thirty days, but the alarm is so sensitively calibrated that it sounds an average of ten false alarms for every undetected bear. Despite this, the alarm only sounds for three out of four bears that actually appear at the resort. If the alarm sounds, what is the probability that a bear has actually been sighted?
Choices:
3/13
27/52
3/4
10/13
Answer: A
Question: Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number
Choices:
5
7.5
4
3
Answer: A
Question: What is the remainder when 980*1050*880*1010 is divided by 22?
Choices:
10
12
8
3
Answer: B
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?
Choices:
50
40
30
25
Answer: A
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
52.2
52.1
52.5
52.4
Answer: C
Question: What is the greatest prime factor of (10!9!) + (10!11!)?
Choices:
29
31
37
41
Answer: C
Question: In a box of 10 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
11/20
17/30
28/45
51/90
Answer: C
Question: If the probability of rain on any given day in City X is 20%, what is probability that it rains on exactly 3 days in a 4 day period?
Choices:
16/625
6/125
4/25
3/25
Answer: A
Question: An article is bought for Rs.1280 and sold for Rs.900, find the loss percent?
Choices:
29%
16%
26%
32%
Answer: A
Question: If 41/88 = 0.46590, what is the 77th digit to the right of the decimal point of the fraction?
Choices:
2
5
0
9
Answer: C
Question: Milk contains 10% water. What content of pure milk should be added to 20 liters of milk to reduce this to 5%?
Choices:
20liters
30liters
15liters
18liters
Answer: A
Question: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?
Choices:
25 m
85 m
05 m
15 m
Answer: A
Question: A train passes a station platform in 39 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
279
240
285
231
Answer: C
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1950. The perimeter of the plot is?
Choices:
156
190
300
260
Answer: C
Question: A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 2t seconds, then what is the length of the platform?
Choices:
L
1.5 L
2 L
3
Answer: A
Question: It takes 2 team of farm workers 12 days to completely prepare a piece of land for planting. if both team of workers were to work separately, one of them can complete the work 10 days earlier than the other, how many days will it take each of them to separately complete the work?
Choices:
11 and 21
15 and 25
9 and 19
20 and 30
Answer: D
Question: The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $7.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
Choices:
$5.10
$5.30
$7.50
$5.60
Answer: C
Question: If f(x)= 5x^3- 4x+8 and g(y)= 6y-4, then g(f(x)) =
Choices:
11x^2-12x+44
30x^3-24x+44
30x^3+4x+4
30x^3-12x+44
Answer: B
Question: By selling an article for $195, a person gains $45. What is the gain %?
Choices:
30%
50%
20%
10%
Answer: A
Question: Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/5 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?
Choices:
2/3
3/4
11/30
5/6
Answer: C
Question: A herd of goats consists of A males and B females. In that herd, half of the goats that have horns are females. If C goats of the herd do not have horns, then the total number of male goats in the herd that do NOT have horns, in terms of A, B and C is -
Choices:
(A−B+C)/2
(A+B+C)/2
(A+B−C)/2
(2A−B+C)/2
Answer: A
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
Choices:
50 kg
65 kg
66.5 kg
80 kg
Answer: C
Question: Find the value of 3 + 2 • (8 – 3)
Choices:
13
17
24
15
Answer: A
Question: If T = 5/9 * (K - 32), and if T = 35, then what is the value of K?
Choices:
95
98
101
104
Answer: A
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 1/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 10% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
b $100
c $125
d $130
e $135
Answer: A
Question: If 200 lb of a mixture contain 80% husk and 20% sand. Then how much husk needs to be extracted in order to have 75% concentration of Husk?
Choices:
20/3
1/2
40
60
Answer: C
Question: The rational number for recurring decimal 0.125125.... is:
Choices:
125/999
125/1000
125/999
None of them
Answer: A
Question: John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
Choices:
301
401
101
501
Answer: A
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 3° east of north, in what direction was it originally flying?
Choices:
(b) 30° east of north
(c) 22° west of north
(d) 22° east of north
(e) 5° west of north
Answer: B
Question: Triangle ATriangle B are similar triangles with areas 1536 units square and 2166 units square respectively. The ratio of there corresponding height would be
Choices:
17:19
23:27
13:17
16:19
Answer: D
Question: A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
Choices:
1 / 3
3 / 3
4 / 5
2 / 4
Answer: A
Question: You collect balls. Suppose you start out with 7. John takes half of one more than the number of balls you have. Since his mother makes balls, Peter decides to triple your balls. How many balls do you have at the end?
Choices:
7
8
9
10
Answer: C
Question: A circular rim 21 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
75x
48x
45x
x/75
Answer: C
Question: A group of men decided to do a work in 20 days, but 10 of them became absent. If the rest of the group did the work in 40 days, Find the original number of men?
Choices:
20
40
100
25
Answer: A
Question: Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.
Choices:
1:9
3:9
5:9
None of them
Answer: A
Question: In a normal 5-day work week, each of 12 employees produces 300 items per day-last week, 1/3 of the employees were absent from work for 2/5 of the days in the week. how many total items were produced last week?
Choices:
14400
6000
15600
16,200
Answer: C
Question: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Choices:
5/7
2/7
3/7
1/2
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 15th student is
Choices:
11
13
14
15
Answer: A
Question: If f is a number such that –2 ≤ f ≤ 2, which of the following has the largest possible absolute value?
Choices:
3f – 1
3 – x
x – 3
x^2 – x
Answer: A
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Choices:
35
13
61
45
Answer: A
Question: The length of an edge of a hollow cube open at one face is √3 metres. What is the length of the largest pole that it can accommodate?
Choices:
3 metres
4 metres
3√3metres
None
Answer: A
Question: The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube?
Choices:
10
4
6
8
Answer: C
Question: The cost price of 40 articles is the same as the selling price of x articles. If the profit is 25%, what is x?
Choices:
28
30
32
34
Answer: C
Question: How long does a train 120 m long running at the speed of 70 km/hr takes to cross a bridge 145 m length?
Choices:
12.1 sec
17.9 sec
13.9 sec
47.98 sec
Answer: C
Question: If a and b are integers and a≠0 which of the following cannot equal 0?
Choices:
a-b
a+b
ab-b^2
a^2+b^2
Answer: D
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
66
72
32
Answer: A
Question: Which of the following is NOT a factor of 10! ?
Choices:
625
160
80
50
Answer: A
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Choices:
1,20,000
1,20,900
1,29,000
1,20,070
Answer: A
Question: A circular mat with diameter 22 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
2/5
3/2
3/4
5/8
Answer: D
Question: There are 28 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:
820
850
870
900
Answer: C
Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
75
299
266
21
Answer: A
Question: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 240 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
400
600
700
800
Answer: A
Question: How many words can be formed by using all letters of the word 'PIG' ?
Choices:
6
9
5
7
Answer: A
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
167 km
143 km
162 kilometres
245 km
Answer: C
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value R of the product xy?
Choices:
-3
0
2
None of the above
Answer: B
Question: A cube is divided into 512 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
Choices:
216
296
312
324
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 30% p.a. What will be its population after 2 years?
Choices:
14400
14500
14600
16900
Answer: D
Question: John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?
Choices:
$3000
$2250
$2750
$3500
Answer: C
Question: Mary works in a restaurant a maximum of 45 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
Choices:
420
410
320
400
Answer: B
Question: What is the probability W of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Choices:
1/20
1/26
1/50
1/100
Answer: B
Question: A sum of Rs 12,500 amounts to Rs. 15,500 in the 4 years at the rate of simple interest. Find the rate percent
Choices:
6 %
8 %
9 %
10 %
Answer: A
Question: Chlorination is used in industry for the purification of water; 1gm solution of chlorine will remove half of the germs in 1 liter of water. If water containing less than 0.09% of germs is considered clean, what is the minimum amount of chlorine required to purify 150 liter of water containing 0.3 liter of harmful substances?
Choices:
2
3
4
5
Answer: A
Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 14 heads and 41 legs. How many cats does the ship host?
Choices:
6
7
8
9
Answer: B
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Choices:
4 hrs 24 min
4 hrs 14 min
4 hrs 34 min
4 hrs 04 min
Answer: A
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 140?
Choices:
142
282
141*141
141*142
Answer: B
Question: if i earn a profit 50$ in a day and I have 9 employees . After keeping 10 percent profit for me, and distribute remianing money equally among my employees then how much each employee would get?
Choices:
$7
$1
$5
$9
Answer: C
Question: A box contains six bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
14/15
125/126
125/186
125/128
Answer: A
Question: One day a car rental agency rented 3/4 of its cars, including 3/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
Choices:
24/25
19/20
14/15
9/10
Answer: A
Question: In a certain sequence, the first term is 3, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Choices:
21/13
8/5
5/8
18/11
Answer: D
Question: A sock drawer contains 6 socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
15
21
36
42
Answer: A
Question: Mrs. Napier has 23 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Choices:
2-5
2-6
2-3
2-8
Answer: A
Question: A rectangular garden is 12m by 5m, what is its area?
Choices:
5 square meters
44 square meters
60 square meters
22 square meters
Answer: C
Question: How many ways are there to award a gold, silver and bronze medal to 11 contending teams?
Choices:
11 x 10 × 9
10!/3!
360
300
Answer: A
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 140, the sum due is:
Choices:
s. 640
s. 1960
s. 2400
s. 2800
Answer: A
Question: Souju's age is 131% of what it was 10 years ago, but 80 2/3% of what it will be after 10 years. What is her present age?
Choices:
27 years
36 years
42 years
54 years
Answer: C
Question: By selling 175 apples, a shopkeeper gains the price of 25 apples. His gain per cent is
Choices:
17.66%
16.66%
15.66%
14.66%
Answer: B
Question: Exactly 5% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
92%
90%
Answer: C
Question: If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 3, 6, and k?
Choices:
1
2
3
4
Answer: C
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9 days
39/9 days
30/9 days
60/9 days
Answer: A