antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 30km/hr, the time taken by the car to cover the same distance will be?
Choices:
1hr 25min
50min
1hr 30min
1hr 45min
Answer: A
Question: In a flower shop there were 5 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is
Choices:
3
8
10
None of these
Answer: C
Question: (A% of B + B% of A) is equal to ?
Choices:
B% of A
2% of AB
AB% of 3
None
Answer: B
Question: A train running at 50 km/hr takes 9 seconds to pass a platform. Next, it takes 6 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:
a) 75m50m
c) 50m45m
d) 100/3 m200/3
e) none of these
Answer: A
Question: Ravi's salary was reduced by 25%. Percentage increase to be effected to bring salary to original level =
Choices:
33.33 %
83.33 %
33.35 %
34.33 %
Answer: A
Question: If p and q are positive integers, and 3 is not a factor of q, then q may be which of the following?
Choices:
(p−3)·(p−1)·(p+1)
(p−2)·p·(p+2)
(p−1)·p·(p+2)
(p−3)·(p+1)·(p+2)
Answer: C
Question: If 7 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
40:25:18
40:35:28
40:25:24
40:45:11
Answer: B
Question: What least number must be added to 686, so that the sum is completely divisible by 5 ?
Choices:
3
5
4
6
Answer: C
Question: Dividing by 3⁄6 and then multiplying by 5⁄6 is the same as dividing by what number?
Choices:
16⁄5
20⁄9
9⁄20
5⁄3
Answer: D
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled?
Choices:
50/216
25/72
25/36
5/6
Answer: B
Question: The cost to park a car in a certain parking garage is $9.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
Choices:
$1.67
$2.25
$2.36
$2.50
Answer: C
Question: A bag has 4 blue, 3 yellow and 2 green balls. The balls of the same color are identical. In how many ways can a child picks ball(s) out of the bag? He could even decide to pick ZERO balls.
Choices:
60
24
120
9
Answer: A
Question: If it is true that x > -2 and x < 9, which of the following must be true?
Choices:
x < -9
x < 2
-9 < x < 2
none of the above.
Answer: D
Question: Roshan is 5 years younger than Raj and they have an age ratio 3:4 respectively. How old is Roshan?
Choices:
15
18
24
25
Answer: A
Question: If A, B and C together can finish a piece of work in 6 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Choices:
7
8
9
36
Answer: D
Question: An archer is shooting arrows from various distances. She shoots at a target from 50 yards, 60 yards, and 70 yards. The probability that she hits within the bullseye from 50 yards is 3/4, the probability that she hits within the bullseye from 60 yards is 2/3, and the probability that she hits within the bullseye from 70 yards is 3/5. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Choices:
14/15
19/20
29/30
39/40
Answer: C
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
7/14
9/3
1/45
18/35
Answer: D
Question: There are 10 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 10 points that contain the point A?
Choices:
36
182
210
455
Answer: A
Question: Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
Choices:
11/P + 6
11/P + 2
11/P + 1
11/P + 8
Answer: A
Question: If I walk at 4 km/h, I miss the bus by 10 minutes. If I walk at 5 km/h, I reach 5 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
Choices:
5 km
5 1⁄4 km/h
Cannot be determined
None of these
Answer: A
Question: If Yury has been writing programming code for 16 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
Choices:
126(10^3)
144(10^2)
1.26(10^7)
.126(10^9)
Answer: B
Question: In your classes you counted 130 hands. How many students were at the class?
Choices:
65
85
86
88
Answer: A
Question: In how many ways can you sit 7 people on a bench if 3 of them must sit together?
Choices:
720
2,400
4,320
40,320
Answer: A
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability E that the 2 apples selected will include the spoiled one?
Choices:
b. 3/10
c. 2/5
d. 1/2
e. 3/5
Answer: B
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25
56.2
56.24
56.21
Answer: A
Question: Find the total no. of distinct bike no.'s that can beformed using 2 letters followed by 2 no.'s. How many letters need to be distinct?
Choices:
89
94
100
110
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/25
2/21
2/08
2/18
Answer: B
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
Choices:
5
6
8
9
Answer: B
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x
Choices:
1
5
6
8
Answer: A
Question: power windows: 60%
anti-lock brakes: 25%
CD player: 60%
The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
Choices:
23
11
3
0
Answer: A
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 6 km in stationary water
Choices:
1hr
1hr 15 min
1hr 30 min
4 hr
Answer: C
Question: The average age of 15 students of a class is 16 years. Out of these, the average age of 6 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Choices:
11years
12years
13years
14years
Answer: B
Question: If p is the product of the integers from 1 to 35, inclusive, what is the greatest integer k for which 3^k is a factor of p?
Choices:
13
15
17
19
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
24 3/2 kmph
22 1/2 kmph
22 1/5 kmph
22 9/2 kmph
Answer: B
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
2 kmph
8 kmph
9 kmph
1 kmph
Answer: B
Question: A pipe can fill a cistern in 55 minutes. Find the time in which 1/11 part of the cistern will be filled?
Choices:
5min
3min
1min
10min
Answer: A
Question: Ravi, Ramu and Raja are three partners in business. If Ravi’s capital is equal to twice Ramu’s capital and Ramu’s capital is three times Raja’s capital, the ratio of the capitals of Ravi, Ramu, Raja is
Choices:
1:2:6
6:3:1
1:3:6
None of these
Answer: B
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 3 games?
Choices:
x + y/(n + 3)
(x + 3y)/(n + 3)
(nx + 3y)/(n + 3)
(3x + ny)/(n + 3)
Answer: C
Question: How should a profit of Rs.500 be divided into two partners, if one of them invested Rs.6000 for 5 months and other invested Rs.5000 for 4 months? (in Rs.)
Choices:
3000,2000
500,400
2000,3000
300,200
Answer: D
Question: In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit 7?
Choices:
196
286
324
288
Answer: D
Question: There are two decks of 11 cards each. The cards in each deck are labeled with integers from 11 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6?
Choices:
0.36
0.4
0.42
0.46
Answer: D
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
Choices:
729
154
653
234
Answer: A
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 22,the first number is :
Choices:
21
77
99
25
Answer: D
Question: 25 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
700
Answer: A
Question: if m^3 has 16 factors then m^4 will have how many factors ????? and m is not a prime no.
Choices:
25
26
27
28
Answer: A
Question: The area of a triangle is with base 3m and height 6m?
Choices:
9 m2
66 m2
77 m2
31 m2
Answer: A
Question: Find the number of zero's in the expression 1^1 * 2^2 * 3^3 * 4^4 * 5^5 * ……..10^10.
Choices:
15
16
17
81
Answer: A
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
Choices:
1/12
1/19
1/13
1/11
Answer: A
Question: How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together & vowels are never together?
Choices:
1240
4320
6512
1204
Answer: B
Question: 5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.
Choices:
7
6
12
13
Answer: A
Question: A meeting has to be conducted with 6 managers. Find the number of ways in which the managers be selected from among 10 managers, if 2 managers will not attend the meeting together?
Choices:
110
105
140
135
Answer: C
Question: The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Choices:
28
27
36
88
Answer: C
Question: 5000 voted in an election between two candidates.14% of the votes were invalid.The winner won by a margin approximately closer to 15%.Find the number of votes secured by the person
Choices:
2472
2689
26707
17191
Answer: A
Question: A store reduced the price of all items in the store by 10% on the first day and by another 14% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
Choices:
80.9
77.4
81.1
81.9
Answer: B
Question: A contractor undertook to do a certain piece of work in 6 days. He employed certain number of men, but 5 of them being absent from the very first day, the rest could finish the work in 10 days. The number of men originally employed were :
Choices:
10
13
11
None of these
Answer: A
Question: Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 3 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Choices:
32/7 minutes
192/7 minutes
224/7 minutes
32/5 minutes
Answer: D
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 70%?
Choices:
5
8
9
10
Answer: A
Question: If 2x+y = 10, 2y+z = 20 and 2x+z = 30. Where x, y,and z are real number. What is the value of 2x ?
Choices:
sqrt(15)
sqrt(6)/2
15
18
Answer: A
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 4. If p is any prime number then f(p)=
Choices:
p-2
(p+1)/2
(p-1)/2
2
Answer: B
Question: A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $3 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
$82
$110
$138
$193
Answer: D
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 42 liters of forest green to change it to Verdant green?
Choices:
14
15
11
10
Answer: A
Question: Insert the missing number
1, 2, 4, 8, 16, 32, 64, ..., 256
Choices:
128
154
164
174
Answer: A
Question: The slant height of a conical mountian is 2.5 km and the area of its base is 1.54 km². The height of the mountain is:
Choices:
2.4 km
4.5 km
5.4 km
None
Answer: A
Question: Which one of the given numbers is completely divisible by 45?
Choices:
202860
112330
112333
None of these
Answer: A
Question: In a dairy farm, 16 cows eat 16 bags of husk in 16 days. In how many days one cow will eat one bag of husk?
Choices:
16
20
26
30
Answer: A
Question: Which of the following must be equal to zero for all real numbers x ?
I. −1x−1x
II. x + (-x)
III. x^0
Choices:
II only
I and III only
II and III only
I, II , and III
Answer: A
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 5 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
65
77
89
90
Answer: B
Question: There are four distinct pairs of brothers and sisters. In how many ways can a committee of 4 be formed and NOT have siblings in it?
Choices:
8
12
16
20
Answer: C
Question: A train is moving at 6/7 of its usual speed. The train is 30 minutes too late. What is the usual time for the train to complete the journey?
Choices:
30 minutes
3 hours
2 hours 30 min
2 hours
Answer: B
Question: A box has 12 shapes; 3 circles, 5 squares, and 4 triangles. How many groups of 3 shapes can be made with at least 1 triangle?
Choices:
64
164
146
56
Answer: B
Question: Helen went to the stationers and bought things worth Euro 50, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Euro 15.7
Euro 19.7
Euro 44.7
None
Answer: C
Question: A student must answer 7 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to the student?
.
Choices:
80
110
220
360
Answer: B
Question: The cricket team of 11members is 25yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
22
23
25
28
Answer: A
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 6 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
48%
100%
120%
125%
Answer: A
Question: What is the chance that a leap year selected at random contains 53 fridays?
Choices:
2/7
3/7
4/7
5/7
Answer: A
Question: The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 2 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
Choices:
16:00.
20:00
22:00.
24:00.
Answer: A
Question: If a trader sold two cars each at $ 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
2.44%
6.44%
1.44%
7.44%
Answer: C
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
45%
50%
60%
70%
Answer: B
Question: If U is an odd number and V and W are different integers, which of the following must be even?
Choices:
U+VW
UVW
U+V+W
None of these
Answer: D
Question: What is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5? assume that each die has 4 sides with faces numbered 1 to 4.
Choices:
1/36
1/12
1/16
1/3
Answer: C
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
17 sec
21 sec
23 sec
Answer: A
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
Choices:
24
42
81
28
Answer: A
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Choices:
1/1
1/6
1/3
1/7
Answer: B
Question: In the first week of the Year, Pancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Pancy saved during the 52 weeks?
Choices:
$1,352
$1,378
$2,652
$2,756
Answer: B
Question: In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 5 people play both cricket and football. How many people play only cricket?
Choices:
2
5
3
9
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 14 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
420
279
276
291
Answer: A
Question: A certain tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 2 hours?
Choices:
50%
52%
54%
56%
Answer: B
Question: Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
Choices:
-5,3
8,9
7,6
3,5
Answer: A
Question: Pipe A can fill a tank in 24 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Choices:
32/7 minutes
192/7 minutes
3 minutes
28 minutes
Answer: C
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
12800
27891
18992
78812
Answer: A
Question: A and B started a business investing Rs. 75,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
3:2
18:20
18:4
13:4
Answer: D
Question: A boatman can row 3 km against the stream in 30 minutes and return in 18 minutes. Find the rate of current ?
Choices:
2 kmph
5/2 kmph
1/2 kmph
2/2 kmph
Answer: A
Question: Two representatives must be selected from each of two groups of students. One group consists of two men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ?
Choices:
1/4
5/9
1/3
1/2
Answer: B
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 5 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
8
12
15
Answer: B
Question: At a company, the average wage of male employees is $4 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7.5 per hour, what is the ratio of the number of male employees to the number of female employees?
Choices:
1 to 7
3 to 2
5 to 3
2 to 1
Answer: A
Question: A sum of Rs. 12500 amounts to Rs. 16500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
5%
6%
8%
14%
Answer: C
Question: what is the probability of getting 53 mondays in a leap year?
Choices:
2/7
3/7
4/7
5/7
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 18 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/4 sec
20/7 sec
4 sec
60/7 sec
Answer: C
Question: The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is :
Choices:
89.8 cm³
132.8 cm³
144.5 cm³
none
Answer: A
Question: A factory produces 6400 toys per week. If the workers at this factory work 3 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
2133 toys
3375 toys
4375 toys
5375 toys
Answer: A
Question: There are three different hoses used to fill a pool: hose x, hose y, and hose W. Hose x can fill the pool in a days, hose y in b days, and hose W in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3
Choices:
III
II&III
II
I&II
Answer: C
Question: A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points Q that an individual player might have scored?
Choices:
13
16
21
23
Answer: D
Question: A family consists of two grandparents, two parents, and four grandchildren. The average age of the grandparents is 66 years, the average age of the parents is 40 years, and the average age of the grandchildren is 9 years. What is the average age (in years) of the family?
Choices:
29
31
33
35
Answer: B
Question: The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 2 years is
Choices:
s.6921
s.8820
s.6261
s.6361
Answer: B
Question: A baseball game is played at Wickley Field. The Blues vs. The Grays. 25% of all players hit a home-run (hit the ball out of the park). Some players on The Grays team were injured, so they didn't play. If the ratio of players of the teams is 5:4, respectively, and the percentage of players who hit a home-run for The Blues is 15%, what percentage of players for The Grays hit a home-run?
Choices:
45%
35%
45.5%
35.5%
Answer: A
Question: John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?
Choices:
3 min
7 min
6 min
9 min
Answer: C
Question: If 5% more is gained by selling an article for Rs. 360 than by selling it for Rs. 340, the cost of the article is
Choices:
400
200
288
111
Answer: A
Question: At golds gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choices:
24
36
48
96
Answer: A
Question: Reena and Shaloo are partners in a business. Reena invests Rs. 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months. Out of a profit of Rs. 31,570, Reena's share is :
Choices:
Rs. 12,628
Rs. 18,040
Rs. 18,942
Rs. 18,000
Answer: A
Question: What will be the LCM of 8, 24, 36 and 54
Choices:
108
216
432
None of these
Answer: B
Question: 6x − 24 = 6y
5y + 5x = 15
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly one
Exactly two
More than three
None
Answer: A
Question: Each of 435 bags contains at least one of the following three items: coconut, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only coconut and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?
Choices:
260
316
320
350
Answer: C
Question: A train running at the speed of 70 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
150 m
167 m
175 m
187 m
Answer: C
Question: A train 108 m long is moving at a speed of 50 km/hr . It crosses a train 112 m long coming from opposite direction in 6 seconds. What is the speed of the second train?
Choices:
82 kmph
44 kmph
58 kmph
56 kmph
Answer: A
Question: The average of 35 students in a class is 15 years. The average age of 25 students is 13. What is the average age of remaining 10 students?
Choices:
18 years
19 years
20 years
21 years
Answer: C
Question: A train 400 m long can cross an electric pole in 40 sec and then find the speed of the train?
Choices:
36 Kmph
42 Kmph
45 Kmph
38 Kmph
Answer: A
Question: A person crosses a 600 meter long street in 5 minutes. What is the speed in Km/hr
Choices:
7.2 km/hr
8.2 km/hr
9.2 km/hr
None of these
Answer: A
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 27, then how old is B?
Choices:
10 years
18 years
189 years
28 years
Answer: A
Question: Two persons start running simultaneously around a circular track of length 440 m from the same point at speeds of 14 kmph and 24 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Choices:
36
124
42
38
Answer: C
Question: Pipe A can fill a tank in 10 hours, pipe B in 5 hours and pipe C in 5 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2 hours
4 hours
5 hours
6 hours
Answer: A
Question: In a hockey team of 11 members, the captain's age is 26 years old and the goalkeeper is 3 years older If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
23 years
25 years
27 years
29 years
Answer: A
Question: Let y = 2m + x^2 and m = 5x + 3. If m^2 =64, then which of the following can be a value of 2y + 3m?
Choices:
58
78
88
98
Answer: A
Question: Pat's watch gains an extra 10 seconds every 4 hours. Kim's watch loses 5 seconds every 4 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 24 hours, what will be the difference in time between Pat's watch and Kim's watch?
Choices:
4 min 30 sec
3 min 30 sec
2 min 30 sec
1 min 30 sec
Answer: D
Question: Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 10 pounds?
Choices:
20
18
17
16
Answer: A
Question: If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 20000 sheets of xerox paper?
Choices:
$1060
$1350
$900
$1000
Answer: C
Question: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
Choices:
3/15
8/7
22 1/2
1/9
Answer: C
Question: The sum of first 45 natural numbers is
Choices:
1035
2070
2140
None
Answer: A
Question: The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5292 sq cm. What is the ratio of the width and the area of the rectangle?
Choices:
1:76
1:80
1:84
1:88
Answer: C
Question: SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?
Choices:
Rs. 1720
Rs. 1750
Rs. 1850
Rs. 2000
Answer: B
Question: P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
Choices:
11
13
15
17
Answer: B
Question: (4300531)-?=2535618
Choices:
1775123
1764913
1675123
None of them
Answer: B
Question: A shopkeeper purchased an article at 20% discount on list price, he marked up his article in such a way that after selling the article at 20% discount, he gained 20% on SP. what % is SP of the list price?
Choices:
95
96
97
98
Answer: B
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 2/3 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 15% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
b $115
c $125.5
d $130
e $112.5
Answer: D
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
8000
2664
2667
2121
Answer: A
Question: P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in --- days
Choices:
1
2
3
4
Answer: D
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
34
66
81
21
Answer: A
Question: Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 7 hours?
Choices:
750
1,800
5,900
1,575
Answer: D
Question: Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper ?
Choices:
2420 ft
2600 ft
2740 ft
None of these
Answer: A
Question: Line P has a positive slope and a positive y-intercept. Line Q also has a positive slope and a positive y-intercept. The two slopes and the two y-intercepts are four different numbers, none equal. Lines P & Q have a single intersection point — what is the full set of possible quadrants in which the intersection point could be?
Choices:
I & III only
I & II only
I & II & III onl
all four quadrants possible
Answer: C
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 35%?
Choices:
887
256
654
675
Answer: D
Question: How many ways can the letters in the word COMMON be arranged?
Choices:
30
90
120
180
Answer: D
Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20° is
Choices:
5°
10°
20°
None
Answer: B
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 4 cm, and the point of contact is 6 cm above the ground, what is the radius of the other ball?
Choices:
12 cm
14 cm
16 cm
18 cm
Answer: B
Question: 4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 14 weavers in 14 days?
Choices:
45
49
53
58
Answer: B
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability A that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
Choices:
15/64
1/2
1/4
52/64
Answer: A
Question: If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 400. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 410. What is the value of X?
Choices:
6000
5000
4000
3000
Answer: C
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Choices:
18 min
37 min
20 min
21 min
Answer: C
Question: What is the product of all the numbers in the dial of a telephone ?
Choices:
0
12312445
451231
461231
Answer: A
Question: Sabrina is contemplating a job switch. She is thinking of leaving her job paying $90,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?
Choices:
177
178
377
200
Answer: D
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 4 years ago?
Choices:
10
12
14
16
Answer: A
Question: A man walks at a speed of 2 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 5/2 hours.
3 5/2 hours.
5 5/2 hours.
8 5/2 hours.
Answer: B
Question: A train is 560 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
56 seconds
40 seconds
19 seconds
45 seconds
Answer: A
Question: Simplfy
4b - [b -(a+b) - {b - (b - a+b)} + 2a]
Choices:
2a
4a
0
3b
Answer: D
Question: Let's say in a lottery Samuel have a 4% chance of winning the jackpot.
All lined up and 1st four people on the line lose. Samuel is 5th in the row.
What's the chance of Samuel winning now?
Choices:
8%
9%
3%
4%
Answer: D
Question: If the sum of 9 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 2
Choices:
II only
III only
I and III
II and III
Answer: D
Question: I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation C to least standard deviation in which of the following?
Choices:
II, I, III
II, III, I
III, I, II
III, II, I
Answer: A
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
15
16
20
Answer: A
Question: 9886 + x = 13200, then x is ?
Choices:
3237
3337
2337
None of these
Answer: D
Question: Evaluate: 22 + sqrt(- 4 + 6*4*3)=?
Choices:
14
24
34
44
Answer: B
Question: Carolyn bought 17 gumballs, Lew bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
Choices:
18
22
24
26
Answer: A
Question: 10,12,15,20,27,?
Choices:
35
36
37
38
Answer: D
Question: The mean of 50 observations was 36. It was found later that an observation 46 was wrongly taken as 23. The corrected new mean is
Choices:
36.16
36.24
36.46
None
Answer: C
Question: Danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Danny has in his herd?
Choices:
120
180
336
456
Answer: A
Question: There are two concentric circles with radii 10 and 6. If the radius of the outer circle is increased by 20% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?
Choices:
111
211
311
411
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
87
120
150
388
Answer: C
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:
15 liters
10 liters
9 liters
None of these
Answer: B
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
19 hr
10 hr
14 hr
16 hr
Answer: C
Question: Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2002, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?
Choices:
2014
2015
2007
2017
Answer: C
Question: Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Choices:
Rs. 2500
Rs. 2700
Rs. 3000
Rs. 2500
Answer: A
Question: Two trains of equal lengths take 15 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
17 sec
21 sec
23 sec
Answer: B
Question: If YWVSQ is 25 - 23 - 21 - 19 - 11, Then MKIGF
Choices:
13 - 11 - 9 - 7 - 6
13 - 11 - 9 - 7 - 7
13 - 11 - 9 - 7 - 3
11 - 11 - 9 - 7 - 1
Answer: D
Question: A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
Rs.58
Rs.09
Rs.50
Rs.13
Answer: C
Question: 20 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
0 days
20 days
30 days
40 days
Answer: A
Question: A train is 288 meter long is running at a speed of 29 km/hour. In what time will it pass a bridge of 101 meter length?
Choices:
48.29
26.8
45.29
30
Answer: A
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)
Choices:
6:22
6:27
6:30
6:33
Answer: A
Question: If 3 cats can kill 3 rats in 3 minutes, how long will it take 100 cats to kill 100 rats?
Choices:
2 minutes
3 minutes
4 minutes
5 minutes
Answer: B
Question: If y exceeds x by 25%, then x is less than y by?
Choices:
21%
20%
30%
29%
Answer: B
Question: Difference of 2 parallel sides ofa trapezium is 4cm. perpendicular distance between them is 10cm. If the area of the trapezium is 250cm^2. Find the lengths of the parallel side?
Choices:
21,25
27,23
28,25
30,25
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
29%
25%
55%
39%
Answer: B
Question: In a straight highway 2 cars starts from the same point in opposite directions each travels for 8 Kms and take left turn then travel for 6 Kms what is the distance between them now.
Choices:
20
25
10
15
Answer: A
Question: The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what are their speeds?
Choices:
45
37
36
19
Answer: A
Question: In a race with 5 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
Choices:
120
720
840
60
Answer: D
Question: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
49 km/hr
45 km/hr
65 km/hr
87 km/hr
Answer: A
Question: An article sold at a profit of 20% if both the cost price and selling price would be Rs.20/- the profit
would be 10% more. What is the cost price of that article?
Choices:
50
60
70
80
Answer: B
Question: The sum of three consecutive multiples of 3 is 117. What is the largest number?
Choices:
48
51
42
54
Answer: C
Question: A train running at the speed of 30 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choices:
80
90
100
110
Answer: C
Question: A man sells two articles for Rs.3600 each and he gains 25% on the first and loses 25% on the next. Find his total gain or loss?
Choices:
6.25% Loss
4000
324
8% LOSS
Answer: A
Question: The probability of shooting a target increases after a certain skill is enhanced and is equal to the new probability of NOT shooting the target. Given this fact, which of the following must be false?
Choices:
The original probability of shooting the target is less than 0.5
The original probability of NOT shooting the target and the new probability of shooting the target are the same
The original probability of shooting the target and that of NOT shooting the target are the same.
The sum of the original and the new probabilities of shooting the target is ALWAYS equal to 1
Answer: C
Question: A man can row downstream at the rate of 32 Kmph and upstream at 17 Kmph. Find the man’s rate in still water and rate of current?
Choices:
7.5
9.5
9.0
8.25
Answer: A
Question: Edward earns $7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $210 last week, how many hours did he work?
Choices:
44
45
46
47
Answer: B
Question: The price of lunch for 10 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Choices:
12
13.8
14
18
Answer: D
Question: Which of the following inequalities is always true for any real number 'a' and 'b'?
Choices:
|a-b| <= |(|a|-|b|)|
|a-b| = |(|a|-|b|)|
|a-b| >= |(|a|-|b|)|
|a-b| <= |a|-|b|
Answer: C
Question: S = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set S and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
143
166
190
210
Answer: B
Question: One train is traveling 36 kmph and other is at 12.5 meters a second. Ratio of the speed of the two trains is?
Choices:
5:6
5:0
5:4
4:5
Answer: D
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Choices:
44%
50%
54%
60%
Answer: A
Question: Find the unit's digit in 264^102 +264^103
Choices:
zero 0
2
4
5
Answer: A
Question: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:
Choices:
1:1
1:2
1:5
1:6
Answer: A
Question: You had a math quiz at class. The quiz had 5 questions; three of them have 3 marks each, and the other two have 4 marks each. You managed to correctly solve 2 questions with the 3 marks and one question with the 4 marks. What is the percentage of the marks that you got in this quiz?
Choices:
58.8%
38.8%
28.8%
None
Answer: A
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 92.16, the number of the member is the group is:
Choices:
67
77
87
96
Answer: D
Question: There are 660 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
110
125
175
225
Answer: A
Question: For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.367] = 1 and [1.988] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
Choices:
0
27
54
Cannot be determined
Answer: A
Question: Isabelle decided to go on an 8 mile run in which she ran from home to the school four miles away and then back the same route. The first four miles took her 40 minutes to complete, and the returning four miles took her 24 mins to complete. What was the wind speed in mph?
Choices:
2 mph
3 mph
4 mph
5 mph
Answer: A
Question: Four of the following five numbered parts (a), (b), (c), (d) and (e) are equal. The number of the part which is not equal to the other four parts is the answer.
Choices:
425 ÷ 17 × 4
36 × 5 ÷ 6 + 17 × 4
2(6) + √256 + 20
35 × 12 ÷ 14 + 14 × 5
Answer: B
Question: If m and n are positive integers of W such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Choices:
2n/m + 1
2n/(m+1)
2m/n
2n/m
Answer: D
Question: A rectangular Box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
Choices:
3 m
5 m
6 m
2 m
Answer: A
Question: Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
Choices:
3 hours 5 minutes
5 hours 5 minutes
6 hours 5 minutes
7 hours 5 minutes
Answer: A
Question: A clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 15 percent of what the collector had paid. The shop then sold the clock again at a profit of 65 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $105, for how much did the shop sell the clock the second time?
Choices:
$88.23
$64.77
$54.32
$43.99
Answer: D
Question: The area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is?
Choices:
42
40
38
36
Answer: D
Question: Two tains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
14
16
20
13.3
Answer: D
Question: The probability that a computer company will get a computer hardware contract is 3/4 and the probability that it will not get a software contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that it will get both the contracts?
Choices:
31/60
41/80
51/120
71/180
Answer: D
Question: Tough and Tricky questions: Word Problems.
AK Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
Choices:
$4,036
$9,035
$16,140
$36,140
Answer: B
Question: How many consonants are present between the first and third vowel in the sequence of English alphabet ?
Choices:
13
6
10
None of these
Answer: B
Question: In how many ways the word "PACK" can be arranged?
Choices:
24
28
None
Cannot be determined
Answer: A
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.82. What is the median gasoline price?
Choices:
$1.82
$1.92
$2.13
$2.15
Answer: A
Question: A cat leaps 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
Choices:
15:11
16:15
15:16
11:16
Answer: C
Question: A train crosses a platform in 15 sec, same train crosses another platform of length 250 m in 20 sec. If the speed of the train is 15 m/sec then find the length of the platform?
Choices:
180m
165m
278m
175m
Answer: D
Question: Define A = The sum of digits of the number 7^100 and B = The sum of the digits of A. What is the sum of the digits of B?
Choices:
7
10
11
Cannot be Determined
Answer: A
Question: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
Choices:
240 mts
260 mts
250 mts
280 mts
Answer: A