antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man had to make 3 trips to the store because he kept forgetting items his wife had requested. The store was 500 meters from his home. It took the man 45 minutes to complete the store run. What was the man's speed in kilometers per hour.
Choices:
1.5
2.25
3
1.75
Answer: B
Question: Triangle STV has sides ST = TV = 13, and SV = 10. What is the area?
Choices:
60
120
136
165
Answer: A
Question: A student committee that must consists of 6 members is to be formed from a pool of 8 candidates. How many different committees are possible
Choices:
28
40
56
336
Answer: A
Question: 2^1 + 2^1 + 2^1 + 2^1 =
Choices:
2^2
4^8
4^9
4^12
Answer: A
Question: If M = 2N+1 where M is an Integer then which of the following is true?
Choices:
M is even if N is a non integer and a multiple of 0.5
M is a non multiple of 2
M= 1
M IS ODD
Answer: A
Question: A man purchases 2 watches for $ 500. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$200 and $ 300
$224 and $336
$560 and $560
$224 and $ 350
Answer: A
Question: A man can row downstream at the rate of 10 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?
Choices:
8,2
9,3
6,6
None of these
Answer: A
Question: In the youth summer village there are 300 people, 200 of them are not working,100 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choices:
125
175
200
100
Answer: D
Question: The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is?
Choices:
20%
23%
24%
none of these
Answer: A
Question: In the quiet town ofNothintodothere are 600 inhabitants, 400 are unemployed and 200 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Choices:
100.
150.
200.
300.
Answer: A
Question: What is the sum of this series?
1, 3, 5, 7, 9, ...... 35.
Choices:
324
384
444
256
Answer: A
Question: A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
Choices:
1:2:0
1:2:5
1:2:4
1:2:1
Answer: C
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 20 positive perfect squares?
Choices:
1,164
1,240
2,316
2,870
Answer: D
Question: A rectangular photograph is surrounded by a border that is 3 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 178) square inches. What is the perimeter of the photograph, in inches?
Choices:
36
38
40
20
Answer: D
Question: The price of 357 mangoes is Rs. 1517.25 what will be the approximate price of 9 dozens of such mangoes ?
Choices:
Rs. 3500
Rs. 4000
Rs. 2500
None of these
Answer: C
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y is even
II. (x+z)/y is an integer
III. xz is even
Choices:
II only
III only
I and II only
I, II, and III
Answer: C
Question: If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?
Choices:
18
20
108
216
Answer: B
Question: If m is not equal to zero, and m+1/m = 1, then what is the value of m^4 + (1/m)^4?
Choices:
-4
-3
-2
-1
Answer: D
Question: A girl has 12 jeans and 15 tops. In how many different ways can she select a jeans and a tops?
Choices:
200
90
120
180
Answer: D
Question: If a person allocates 20 percent of his budget to house rent, 30 percent to food, and 25 percent to clothes, what fraction of his budget remains for other allocations?
Choices:
4/5
1/2
1/3
1/4
Answer: D
Question: If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Choices:
32
54
80
120
Answer: A
Question: If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 284 pounds. What is Jake’s present weight, in pounds?
Choices:
180
184
188
192
Answer: D
Question: A and B complete a work in 80 days. A alone can do it in 40 days. If both together can do the work in how many days?
Choices:
0.1875 days
0.0675 days
0.0375 days
0.0775 days
Answer: C
Question: A composer’s guild is planning its spring concert, and eight pieces have been submitted for consideration. The director of the guild knows that they will only have time to present five of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Choices:
56
10
50
19
Answer: A
Question: Line k is in the rectangular coordinate system. If the f-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Choices:
-3f + 2y = 6
3f - 2y = 6
2f - 3y = 6
-2f - 3y = 6
Answer: A
Question: John's annual salary after a raise of 15% is $45,000. What was his salary before the raise?
Choices:
$31,876
$54,765
$39,130
$42,123
Answer: C
Question: The marks of 10 students of a class are 46,51,62,70,35,x,50,83,65,52. If the average marks is 55, find x.
Choices:
36
42
46
52
Answer: A
Question: The population of a town increases 20% and 25% respectively in two consecutive years. After the growth the present population of the town is 1500. Then what is the population of the town 2 years ago?
Choices:
A)1000
C)1200
D)1300
E)1400
Answer: A
Question: If 21!/3^x is an integer, what is the greatest possible value of x?
Choices:
4
5
D
7
Answer: C
Question: Max bungee jumps from the top of a building straight to the ground at a constant speed. 5 seconds after he starts plummeting he passes the 10th floor. 10 seconds after he starts plummeting he passes the 5th floor. Each floor is 5 meters high. What is Mr. Wayne's speed in meters per second?
Choices:
5
10
15
12
Answer: A
Question: In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
210
230
250
15120
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 water
45 liters
8 liters
Answer: B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, then how old is B?
Choices:
19 years
29 years
8 years
12 years
Answer: C
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 5 percent, but profits were 10 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
120%
124.2%
95%
Answer: D
Question: A person can swim in still water at 10 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 12 km?
Choices:
2
5
9
6
Answer: A
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
6620
2782
5772
5286
Answer: A
Question: In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
Choices:
1/6
7/12
5/36
11/36
Answer: C
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 38 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Choices:
4
8
12
32
Answer: B
Question: The set X = {10,11,12,13,14}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
Choices:
3/20
7/10
3/10
3/5
Answer: C
Question: The sum of two numbers is 20. The larger number is four less than twice the smaller number. What are the two numbers?
Choices:
8 and 12
9 and 12
10 and 12
None of these
Answer: A
Question: Average between two sets of numbers is closer to the set with morenumbers?
Choices:
80
85
90
95
Answer: A
Question: A can finish a work in 12days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Choices:
12days
6days
7days
5days
Answer: D
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
37500
27889
2776
29971
Answer: A
Question: If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
Choices:
16 2/3%
16 2/1%
16 1/3%
16 2/7%
Answer: A
Question: The average of 25 results is 8. The average of first 12 of them is 14 and that of last 12 is 17. Find the 13 result?
Choices:
68
78
92
65
Answer: C
Question: How many integers between 300 and 1400 are there such that their unit digit is odd?
Choices:
450
550
650
750
Answer: B
Question: Caleb spends $64.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
Choices:
29
20
40
45
Answer: A
Question: 5b2 is a three-digit number with b as a missing digit. If the number is divisible by 6, the missing digit is:
Choices:
2
6
7
8
Answer: A
Question: The average salary of 16 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?
Choices:
$18,714
$18,000
$15,850
$12,300
Answer: A
Question: If 314,314 bottles of water need to be placed in boxes and each box can contain at most 9 bottles of water. How many bottles of water will be in the last unfilled box?
Choices:
5
6
7
10
Answer: C
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
105
178
177
169
Answer: A
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 460?
Choices:
21%
25.9%
19%
None of these
Answer: B
Question: The average age of 30 boys of a class is equal to 14 yrs. When the age of the class teacher is included the average becomes 15 yrs. Find the age of the class teacher.
Choices:
42 yrs
45 yrs
46 yrs
47 yrs
Answer: B
Question: In how many years, Rs. 150 will produce the same interest at 6% as Rs. 400 produce in 2 years at 4½% ?
Choices:
4 years
8 years
9 years
12 years
Answer: A
Question: If P = k^3 – k, where k and P are positive integers, and k is given by the expression k=(10x)n+54k=(10x)n+54, where x and n are positive integers, then what is the remainder when P is divided by 4 ?
Choices:
0
2
3
cannot be determined
Answer: A
Question: If a store adds 50 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 40%, what will the new inventory of chairs be?
Choices:
60
100
140
160
Answer: C
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent Q of the distribution is less than m +d ?
Choices:
32%
48%
84%
92%
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 8 m wide at the top and 6 m wide at the bottom and the area of cross-section is 700 sq m, the depth of cannel is?
Choices:
100
27
80
25
Answer: A
Question: Given 3^n, for any real integer of n, which of the following is a possible resultant?
Choices:
244
243
254
245
Answer: B
Question: Tough and Tricky questions: Word Problems.
Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 8, when a # b = 100?
Choices:
8
10
13
17
Answer: C
Question: How many odd three-digit integers greater than 700 are there such that all their digits are different?
Choices:
56
72
80
104
Answer: C
Question: The vertex of a rectangle are (1, 0), (9, 0), (1, 2) and (9, 2) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
Choices:
4
1/2
1/5
1/8
Answer: C
Question: The months of the calendar have been coded in the following ways:
January = 1071
February = 682
March = 1353
April = 154
May = 1335
June = 1046
July = 1047
August = 168
Using the same coding method, can you find out how to code September
Choices:
19|9|9
19|9|7
19|9|6
19|9|5
Answer: A
Question: The price of a certain painting increased by 10% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
Choices:
105%
95%
93.5%
90%
Answer: C
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Choices:
1440 ways
1678 ways
1976 ways
1286 ways
Answer: A
Question: total 52 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Choices:
51
53
56
50
Answer: A
Question: The sum of three numbers is 343. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Choices:
30
38
105
None of these
Answer: C
Question: Pipes A and B can fill a tank in 8 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
Choices:
2 8/11 hours
3 9/17 hours
4 4/5 hours
None
Answer: C
Question: WHEN A PERSON SELLS TWO ITEMS $1300 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
Choices:
2% gain
5% gain
4% loss
1% loss
Answer: C
Question: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 30 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Choices:
66%
72%
76%
80%
Answer: A
Question: If you roll 2 dice, what is the probability of rolling a 5?
Choices:
1/9
1/3
5/12
2/13
Answer: A
Question: There are 12 red balls, 10 blue balls, 12 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
Choices:
23
43
40
16
Answer: C
Question: Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:
Choices:
5m
13m
11m
12m
Answer: B
Question: One fourth of a solution that was 10 percent salt by weight was replaced by a second solution resulting in a solution that was 16 percent salt by weight. The second solution was what percent salt by weight ?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 5x boxes?
Choices:
4 minutes
5 minutes
6 minutes
10 minutes
Answer: D
Question: A and B together can do a work In 4 days. A alone can do it in 12 days. What time B will take to do the work alone?
Choices:
8 days
12 days
10 days
5 days
Answer: B
Question: 28, 26, 21, 19, 14, 12, ?
Choices:
2
8
7
5
Answer: C
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when Pat is ready for college?
Choices:
$15000
$32000
$10000
$9000
Answer: B
Question: An article is bought for Rs.400 and sold for Rs.360, find the loss percent?
Choices:
16 7/3%
16 2/8%
10%
76 2/3%
Answer: C
Question: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many X such committees are possible?
Choices:
X=40
X=50
X=80
120
Answer: C
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
15
21
18
29
Answer: C
Question: 14, 18, x, 20
The median of the list of positive integers above is 16. Which of the following could be the average (arithmetic mean) of the list?
Choices:
5.5
6.25
16
7.5
Answer: C
Question: The price of an article is reduced by 25% in order to
restore the must be increased by ?
Choices:
100/3%
6/25%
25/6%
4/75%
Answer: A
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
Choices:
480 km
127 km
177 km
2698 km
Answer: A
Question: The salary of a person was reduced by 15%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
17.6%
13.7%
15.1%
12.3%
Answer: A
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 30% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
12.5%
15%
22%
14.28%
Answer: D
Question: Two numbers are such that the ratio between them is 3:5 but if each is increased by 10, the ratio between them becomes 5 : 7, the numbers are
Choices:
7, 9
13, 22
15, 25
None
Answer: C
Question: A parallelogram has sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side.
Choices:
4
6
8
9
Answer: B
Question: A person buys an article at Rs.550. At what price should he sell the article so as to make a profit of 30%?
Choices:
715
772
662
521
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
15 years
20 years
11 years
Answer: A
Question: If x represents the sum of all the positive three-digit numbers that can be constructed using each of the distinct nonzero digits a, b, and c exactly once, what is the largest integer by which x must be divisible?
Choices:
6
11
22
222
Answer: D
Question: On Thursday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up C percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of C?
Choices:
30%
33 1⁄3%
40%
50%
Answer: D
Question: In a group of cows and chickens, the number of legs was 18 more than twice the number of heads. The number of cows was:
Choices:
7
9
12
14
Answer: B
Question: If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.
Choices:
30
125
25
None of these
Answer: C
Question: 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
Choices:
40
50
35
30
Answer: A
Question: The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate Y of movement for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
260 m
280 m
380 m
Answer: A
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Choices:
5/ 12
5/ 27
5/ 18
5/ 11
Answer: A
Question: 21 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Choices:
600
576
676
420
Answer: D
Question: Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability W that private Benjamin will be chosen for latrine duty?
Choices:
1/5
2/5
3/5
4/5
Answer: B
Question: Donovan took a math test and got 35 correct and 10 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
Choices:
67.78%
77.78%
47.78%
97.78%
Answer: B
Question: If a choir consists of 2 boys and 4 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Choices:
30
24
11
5
Answer: D
Question: If the product of two positive integers is 144, which of the following could be the LCM and HCF of the two numbers?
I. LCM : 24; HCF : 6
II. LCM : 18; HCF : 8
III. LCM : 16; HCF : 9
Choices:
I only
I and II only
I and III only
I, II and III
Answer: A
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Choices:
30 minutes
87 minutes
16 minutes
19 minutes
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 52 years now, the son's age five years back was?
Choices:
14 years
18 years
21 years
15 years
Answer: C
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
65 Kmph
70 Kmph
None
Answer: A
Question: Increasing the original price of a certain item by 25 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent?
Choices:
37.5
50.0
52.5
56.25
Answer: D
Question: A train 300m long takes 9 sec to cross a man walking at 3kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
90kmph
120kmph
117kmph
125kmph
Answer: C
Question: If a^x = b^y, then
Choices:
log a/ log b = x/y
log a/ log b = y/x
log b/a = x/y
log b/a = y/x
Answer: B
Question: On dividing 23 by a number, the quotient is 7 and the remainder is 2. Find the divisor.
Choices:
2
3
6
7
Answer: B
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
Choices:
8000
2689
2769
2992
Answer: A
Question: What least number should be subtracted from 13600 such that the remainder is divisible by 87 ?
Choices:
29
28
30
31
Answer: B
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 4 baseball cards. How many baseball cards do you have at the end?
Choices:
12
13
14
15
Answer: A
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:
2688
2688
8112
1268
Answer: C
Question: If x and y are integers and 3^(x-4) = 3^(y-2), what is y in terms of x?
Choices:
x - 5
x - 2
x + 2
x + 6
Answer: B
Question: A train 250 m long passed a pole in 25 sec. How long will it take to pass a platform 650 m long?
Choices:
43
51
66
90
Answer: D
Question: From a group of 5men and 4 women, 3 persons are to be selected to form a committee so that at least 2 men are there are on the committee. In how many ways can it be done?
Choices:
50
65
86
96
Answer: A
Question: A man walking at a rate of 10km/hr crosses a bridge in 24 minutes. The length of the bridge is?
Choices:
1492
1667
4000
1112
Answer: C
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
769
266
291
Answer: A
Question: If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 20 percent, how much would she earn per week?
Choices:
$420
$385
$392
$399
Answer: A
Question: 2 pipes function simultaneously the reservoir will be filled in 12 hrs. One pipe fills reservoir 10 hrs faster thanthe other. How many hours does the faster pipe take to fill the reservoir?
Choices:
20
24
26
29
Answer: A
Question: A bike covers a certain distance at the speed of 56km/h in 5 hrs. If the bike was to cover the same distance in approximately 7 hrs, at what approximate speed should the bike travel?
Choices:
35 km/h
55 km/h
40 km/h
50 km/h
Answer: C
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Choices:
3898
1200
2881
7881
Answer: B
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,94,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
Choices:
0.14544
0.25632
0.35466
0.20304
Answer: D
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
8199
8400
8419
8412
Answer: B
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
1728
1000
8732
2881
Answer: B
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
2768
2775
3900
2675
Answer: C
Question: Find the value of x from the below equation: x^2−7x+10=0
Choices:
2
3
4
5
Answer: A
Question: A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction Y of time taken by the two wide pipes working together to fill the tank?
Choices:
2/3
3/4
3/7
4/7
Answer: D
Question: A football player just signed a new contract in which he will earn a 10% raise in base pay from the previous year. Last year, he did not earn a performance bonus; but this year, he will have the chance to earn a performance bonus of up to $20,000. If his new salary is effectively an 11% raise after earning the top performance bonus, what is his new salary?
Choices:
2,170,000
2,210,000
2,220,000
2,360,000
Answer: C
Question: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 50 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Choices:
40%
50%
60%
65%
Answer: A
Question: In how many ways can the letters of wordSOLUTIONbe arranged such that all the Consonants always appear together?
Choices:
5!*4!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: Out of first 50 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
Choices:
16/19
4/5
61/50
3/5
Answer: C
Question: A cistern 12 m long and 14 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
250 m2
220 m2
230 m2
233 m2
Answer: D
Question: When 15 is divided by integer u, the remainder is 4. For how many values of u is this be true?
Choices:
1
3
4
5
Answer: A
Question: in a rectangle 8 vertical and 4 horizontal lines are drawn find the number of rectangle formed ?
Choices:
664
674
684
694
Answer: B
Question: Two bullet trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
15 sec.
12 sec.
17 sec.
19 sec.
Answer: B
Question: Which of the following is divisible by the first thousand positive even integer multiples of 101?
(i) 55650000
(ii) 234177623000
(iii)11111111111110000000000000000000000000
Choices:
None
ii only
iii only
i, ii and iii
Answer: A
Question: A can do a piece of work in 12 days and B can do a piece of work in 18 days how many days will the work be completed if both of them work together?
Choices:
7.2
7.7
7.4
8
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
88
71
65
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% 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:
5:1
5:8
5:4
5:2
Answer: A
Question: If BELT is coded as 27 and JUMPED is coded as 54, then CHAIRS is coded as
Choices:
21
40
92
None
Answer: B
Question: A girl has 7 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
Choices:
B)102
C)108
D)110
E)84
Answer: D
Question: The width of a rectangular hall is ½ of its length. If the area of the hall is 800 sq.m, what is the difference between its length and breadth?
Choices:
10m
12m
20m
17m
Answer: C
Question: 60% of a number is added to 150, the result is the same number. Find the number?
Choices:
375
266
99
121
Answer: A
Question: Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 600 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 2 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
Choices:
40
60
50
100
Answer: C
Question: After 57 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choices:
4 liters
3 liters
2 liters
6 liters
Answer: B
Question: A sum of money becomes Rs. 2200 after three years and Rs. 4400 after six years on compound interest. The sum is
Choices:
Rs. 1100
Rs. 1000
Rs. 1200
Rs. 1400
Answer: A
Question: The greater of two numbers is twice the less, and the sum of the numbers is 96. What are the numbers?
Choices:
64
70
79
80
Answer: A
Question: A man can row upstream at 15kmph and downstream at 17kmph. Find man's rate in still water ?
Choices:
15km/hr
10km/hr
20km/hr
16km/hr
Answer: D
Question: The value of (2.75)3 - (2.00)3 - (0.75)3 is
Choices:
12.375
9
8
2
Answer: A
Question: If a copier makes 10 copies every 5 seconds, then continues at this rate, how many minutes will it take to make 10,000 copies?
Choices:
81.33
84.33
83.33
85.33
Answer: C
Question: A cow leaps 8 leaps for every 3 leaps of a bull, but 6 leaps of the bull are equal to 4 leaps of the cow. What is the ratio of the speed of the cow to that of the bull?
Choices:
4:1
3:2
4:5
7:8
Answer: A
Question: A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 40 vehicles that are not Speedsters, how many Speedster convertibles are there?
Choices:
64
60
70
90
Answer: A
Question: A jar contains 8 marbles consisting of an equal number of red, green, and blue marbles. Four marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the four marbles have been removed?
Choices:
1/165
3/70
1/35
11/20
Answer: B
Question: Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much E does she have in her account after two years?
Choices:
E=$10815.83
$12652.61
$14232.14
$20598.11
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
80/8 sec
89/7 sec
80/7 sec
Answer: A
Question: If |7x+4|=|3x+5|, which of the following could be a value of x?
Choices:
9/10
1/4
-2
10
Answer: B
Question: The calendar for 1992 is the same as for
Choices:
1997
1995
1994
1992
Answer: A
Question: Sandy is younger than Molly by 12 years. If their ages are in the respective ratio of 7:9, how old is Molly?
Choices:
45
54
63
72
Answer: B
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1350
2772
2672
2871
Answer: A
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
6
7
8
Answer: A
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 75% more than the price of the other, what is the price of each of these two oranges?
Choices:
Rs 8, Rs 12
Rs 9.5, Rs 16.5
Rs 12, Rs 14
None of these
Answer: B
Question: In how many K ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Choices:
864
900
936
1,296
Answer: C
Question: If x is real, find the maximum value of the expression -2x^2 + 7x + 9.
Choices:
9.125
12.125
15.125
18.125
Answer: C
Question: John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30km per hour. The average speed of the John in the whole length of journey is?
Choices:
21 km/hr
24 km/hr
28 km/hr
34 km/hr
Answer: B
Question: Sakshi can do a piece of work in 20 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Choices:
16
18
25
29
Answer: A
Question: David works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 2 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
1/7
1/8
1/4
1/3
Answer: C
Question: P, Q, R enter into a partnership. P initially invests 25 lakh and adds another 10 lakh after one year. Q initially invests 35 lakh and withdraws 10 lakh after 2 years. R's investment is Rs 30 lakh. In what ratio should the profit be divided at the end of 3 years?
Choices:
18:18:19
19:19:18
18:19:18
none
Answer: B
Question: A Man can row upstream at 98kmph and downward stream at 10 kmph. Find Man's rate still in water
Choices:
54km/hr
90km/hr
3.8km/hr
7.9km/hr
Answer: A
Question: 7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.
Choices:
300
275
135
451
Answer: A
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
9.6
10
10.2
10.8
Answer: D
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 390 m long?
Choices:
60 sec
45 sec
48 sec
50 sec
Answer: A
Question: 20.20/2000 is equal to:
Choices:
0.013466667
0.125266677
0.126256677
0.12725776
Answer: A
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
5
6
7
8
Answer: A
Question: A banker paid Rs.5767.20 for a bill of Rs.5840, drawn of Apr 4 at 6 months. If the rate of interest was 7%, what was the day on which the bill was discounted?
Choices:
3rd September
3rd October
3rd August
None of these
Answer: C
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.163 per kg, the price of the third variety per kg will be
Choices:
Rs.1700
Rs. 185.50
Rs. 180
None
Answer: B
Question: FIND THE VALUE OF X ?
(2/7)^-8*(7/2)^-2=(2/7)^X
Choices:
-6
4
0
-4
Answer: A
Question: Which of the following numbers does NOT have a divisor greater than 1 that is the square of an integer?
Choices:
82
64
48
50
Answer: A
Question: A committee that includes 9 members is about to be divided into 3 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Choices:
20%
25%
40%
50%
Answer: B
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
1000
1998
2789
2677
Answer: A
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 10 kg of fresh grapes?
Choices:
2.4 kg
2.5 kg
1.250 kg
none of these
Answer: C
Question: he population of a city is 140,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Choices:
1597723
159776
159728
157304
Answer: D
Question: The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 212, how many such sequences can be formed?
Choices:
27
25
33
50
Answer: A
Question: The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
Choices:
42
77
88
12
Answer: A
Question: 7,23,55,109,191,__
Choices:
305
306
307
308
Answer: C
Question: The Smiley Pie Eating team won 30% of the first contests they entered. An amazingly winning streak increased their average to 50%. How many consecutive contests must they have won to have achieved this average?
Choices:
30
10
25
35
Answer: A
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 73, how many questions did Student A answer correctly?
Choices:
60
73
82
91
Answer: D
Question: There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 75. How tall is the fourth person?
Choices:
75
77
79
81
Answer: D
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
Choices:
9 Km /hr
13 Km /hr
21 Km /hr
None
Answer: B
Question: What is the diffference between the place value of 2 in the numeral 7229?
Choices:
160
180
190
200
Answer: B
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
20
45
60
70
Answer: A
Question: If each digit in the set of A = {1,2,3,4,5,6,7} is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent?
Choices:
5*6!
7! - 6!
7! - 2!
7! / 2!
Answer: A
Question: In a division sum, the quotient is 36, the divisor 85 and the remainder 26, find the dividend?
Choices:
3586
3086
3968
3286
Answer: B
Question: An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.
Choices:
15
35
45
55
Answer: A
Question: The area of a square land is A square feet and the perimeter is p feet. If 5A=10p+45, what is the perimeter of the land, in feet?
Choices:
56
40
36
64
Answer: C
Question: If 2 tic equals 3 tacs and 2 tacs equal 7 tocs, what is the ratio of one tic to one toc?
Choices:
6/5
21/4
3/10
1/15
Answer: B
Question: A train moves at average speed of 60kmph reaches its destination on time.what its average speed becomes 50kmph , then it reaches its destination 15 late. find the length of the journey?
Choices:
2.5km
6.86km
5.867km
3.25km
Answer: A
Question: Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ?
Choices:
4,4,3
4,5,3
9, 6, 12
2,4,4
Answer: C
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
Choices:
40
20
50
60
Answer: B
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 40 seconds. How long does it tick at 12′o clock
Choices:
88
28
66
11
Answer: A
Question: Distance between two stations A and B is 1108 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey.
Choices:
30.5 km/hr
57 km/hr
67.2 km/hr
None of these
Answer: C
Question: If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D
Choices:
16:24:30:35
17:24:30:35
18:24:30:35
NONE OF THE ABOVE
Answer: A
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following ?
Choices:
50/625
4/625
25/625
75/625
Answer: A
Question: There are 10 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
Choices:
36
39
42
45
Answer: D
Question: A train running at 25 km/hr takes 60 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
Choices:
b) 30m190m
c) 50m45m
d) 100/3 m200/3
e) none of these
Answer: A
Question: 50 square stone slabs of equal size were needed to cover a floor area of 98 sq.m. Find the length of each stone slab?
Choices:
140cm
88cm
666cm
776cm
Answer: A
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 5 m and still him by 15 seconds, what is the speed of B ?
Choices:
5.06 km/hr.
5.70 km/hr.
6.76 km/hr.
5.72 km/hr.
Answer: B
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
Choices:
5/9
5/5
5/3
2/9
Answer: A
Question: What is the difference between the local values of 3 in the number 53403?
Choices:
2997
2877
2077
1211
Answer: A
Question: The average marks of a Suresh in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest?
Choices:
60
62
52
Cannot be determined
Answer: A
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/11 and 1/2
Answer: D
Question: X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.25500. What is the share of X in the profit?
Choices:
Rs.26400
Rs.12000
Rs.12500
Rs.14875
Answer: D
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 70 more. What was his original selling price?
Choices:
$660
$700
$1100
$840
Answer: C
Question: How many 6 digits no can be formed using 0,1,2,3,5,7 without repeatation?
Choices:
600
700
800
900
Answer: A
Question: John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Choices:
36.5%
46.5%
56.5%
66.5%
Answer: D
Question: When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 20 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 4 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster?
Choices:
44
42
46
50
Answer: A
Question: The combined salaries of three brothers is $270,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Choices:
60,000
55,000
30,000
40,000
Answer: A
Question: If Jake loses 29 pounds, he will weigh twice as much as his sister. Together they now weigh 99 pounds. What is Jake's present weight, in pounds?
Choices:
69
139
147
188
Answer: A
Question: The value of x + x(xx) when x = 1 is:
Choices:
8
2
1
4
Answer: B
Question: If a student loses 6 kilograms, he will weigh twice as much as his sister. Together they now weigh 132 kilograms. What is the student's present weight in kilograms?
Choices:
84
86
88
90
Answer: D
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%?
Choices:
5%
10%
80%
90%
Answer: A
Question: A sum of Rs.312 was divided among 100 boys and girls in such
a way that each boy gets Rs.3.60 and each girl Rs.2.40.
Choices:
49
52
60
74
Answer: C
Question: How many integers are divisible by 3 between 20! and 20! + 20 inclusive?
Choices:
7
8
9
10
Answer: A
Question: The average age 8 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
16 years
18 years
12 years
11 years
Answer: A
Question: If an object travels 200 feet in 2 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
68
21
48
22
Answer: A
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
2:3
4:9
4:3
6:2
Answer: C
Question: In a throw of dice what is the probability of geÆ«ng number greater than 3
Choices:
1/2
1/5
1/6
None of these
Answer: A
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1406?
Choices:
s.108
s.100
s.95
s.102
Answer: C