antoine-444/aqua_rat_dataset huggingface dataset:
Question: Which of the following is closer to √0.1+√0.15?
Choices:
0.7
0.9
1.1
1.2
Answer: A
Question: As x increases from 165 to 163, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)
Choices:
III only
I and II
I and III
II and III
Answer: B
Question: What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 9), (x, 9)?
Choices:
121
144
156
169
Answer: A
Question: Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?
Choices:
27 days
88 days
66 days
22 days
Answer: A
Question: Ram's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Ram's average score on the 5 tests to be 80?
Choices:
82
84
86
88
Answer: D
Question: The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 4 type B widgets, and the weight of 3 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget?
Choices:
7:6
9:8
11:10
13:12
Answer: C
Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
Choices:
20
28
18
11
Answer: A
Question: In how many ways the letters of the word LOOC be arranged?
Choices:
11
12
16
18
Answer: B
Question: A closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
Choices:
1 feet
2 feet
3 feet
4 feet
Answer: C
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 60 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
27
15
99
21
Answer: B
Question: If the square root of p^2 is an integer, which of the following must be true?
I. p^2 has an odd number of factors
II. p^2 can be expressed as the product of an even number of prime factors
III. p has an even number of factors
Choices:
II
III
I and II
II and III
Answer: C
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
88 sec
48 sec
18 sec
9 sec
Answer: B
Question: Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 4 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choices:
9/20
11/25
13/27
15/31
Answer: C
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
9%
42%
2%
Answer: A
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, 3158, 9476, x
Choices:
5464
3456
7554
28430
Answer: D
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
276
129
211
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 45 miles ahead of Joe?
Choices:
60
75
90
210
Answer: D
Question: If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)?
Choices:
2/3
2/7
3/7
4/9
Answer: A
Question: A bag contains 2 red, 2 green, and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
Choices:
5/7
17/21
19/28
23/35
Answer: A
Question: If A is to be chosen at random from the set {8,1} and B is to be chosen at random from the set {2,7,9,6}, what is the probability that AB will be even?
Choices:
5/4
3/8
9/7
2/5
Answer: A
Question: If a^3 is divisible by 240 what is the least possible value of integer a?
Choices:
30
60
90
120
Answer: B
Question: If the price of bananas goes down by 10%, find the percentage of increase that a family should effect in its consumption so as not to increase expenditure on this account?
Choices:
15(1/9)%
11(1/9)%
12(1/9)%
none of these
Answer: B
Question: A man distributed Rs. 100 equally among his friends. If there had been 5 more friends, each would have received one rupee less. How many friends had he ?
Choices:
25
30
35
40
Answer: A
Question: If (x - 1)^2 = 361, which of the following could be the value of x - 4?
Choices:
15
-22
-24
-26
Answer: B
Question: A car traveled 35% of the way from Town X to Town Y at an average speed of 35 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
Choices:
65
55
75
85
Answer: A
Question: If the average of 5 positive integers is 65 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
Choices:
52
59
68
73
Answer: D
Question: A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $42,000 commission, how many machines did she sell?
Choices:
103
130
115
120
Answer: B
Question: In a class of 50 students, 20 play Basketball, 15 play Cricket and 11 play Football. 7 play both Basketball and Cricket, 4 play Cricket and Football and 5 play Basketball and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Choices:
45
10
675
688
Answer: B
Question: Three pieces of timber 30 m, 35 m and 45 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
Choices:
4 m
5 m
6 m
None of these
Answer: B
Question: A software programmer does 30% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choices:
15x/15
7x/15
2x/30
13x/30
Answer: B
Question: On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets rain cloud, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?
Choices:
1/6
1/7
1/5
1/4
Answer: B
Question: The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 38 students?
Choices:
7 years
19 years
21 years
None
Answer: A
Question: Find the average marks of all the students in 2 separate classes, if the average marks of students in the first class of 58 students is 67 and that of another class of 52 students is 82.
Choices:
74.1
67.8
79.7
19.4
Answer: A
Question: The average of first six prime numbers:
Choices:
11.2
12.9
6.83
7.4
Answer: C
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is
Choices:
40
99
13
12
Answer: A
Question: In an electric circuit, two resistors with resistances G and H are connected in parallel. In this case, if I is the combined resistance of these two resistors, then the reciprocal of I is equal to the sum of the reciprocals of G and H. What is I in terms of G and H?
Choices:
(G+H)
GH/(G + H)
(G-H)
NONE OF THESE
Answer: B
Question: What is the sum of the different positive prime factors of 960?
Choices:
10
15
17
21
Answer: A
Question: There are 38 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Choices:
367
703
997
261
Answer: B
Question: If x=−a^4, which of the following must be true?
I. x is negative.
II.If a is negative then x is negative.
III. a is non-negative.
Choices:
I only
II only
III only
II and III only
Answer: B
Question: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
Choices:
100 min
177 min
176 min
186 min
Answer: A
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 25 percent on clothing, 25 percent on food, and 50 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 2 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
4.5
4
3.5
5
Answer: C
Question: A train 100 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 20 seconds. The speed of the train is:
Choices:
33 km/hr.
21 km/hr.
49 km/hr.
76 km/hr.
Answer: A
Question: Mohan purchased 13 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
B)Rs.594
C)Rs.596
D)Rs.546
of these
Answer: C
Question: A 90 cm long wire is to be cut into two pieces so that one piece will be 2/7th of the other, how many centimeters will the shorter piece be?
Choices:
B)20
C)83
D)21
E)52
Answer: A
Question: A student completes a 3 part exam as follows. The student completes sections A in 24 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Choices:
6:7
5:6
4:5
3:4
Answer: D
Question: Indu gave Bindu Rs.3750 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
6
4
9
Answer: B
Question: If in a $300 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
Choices:
100mln
300mln
400mln
500mln
Answer: A
Question: Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two
more nickels than dimes, and three times as many pennies as nickels. How many of each kind
of coin does he have if the total value is $0.52?
Choices:
2 dimes, 4 nickels, and 12 pennies.
5 dimes, 5 nickels, and 6 pennies.
7 dimes, 8 nickels, and 12 pennies.
5 dimes, 4 nickels, and 3 pennies.
Answer: A
Question: A school’s annual budget for the purchase of student computers increased by 50% this year over last year. If the price of student computers increased by 50% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
2%
3%
0%
5%
Answer: C
Question: If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 1
II. 0
III. 2
Choices:
III only
I and II only
II and III only
I and III only
Answer: D
Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity E for the round trip?
Choices:
48 miles per hour
50 miles per hour
53 1/3 miles per hour
68 miles per hour
Answer: A
Question: 10 women will complete a job in 7 days and 10 children take 14 days to complete the job. How many days will 5 women and 10 children take to complete the work?
Choices:
6
7
10
12
Answer: B
Question: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim or Renee will win?
Choices:
2/3
1/2
5/12
1/3
Answer: A
Question: Pipe A can fill a tank in 10 hours, pipe B in 15 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2.5
3
5
None
Answer: C
Question: A student got twice as many sums wrong as he got right. If he attempted 27 sums in all, how many did he solve correctly ?
Choices:
16
18
9
12
Answer: C
Question: Find the cost of fencing around a circular field of diameter 32 m at the rate of Rs.1.50 a meter?
Choices:
132
150.9
158
267
Answer: B
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.2 km long?
Choices:
2 mins 34 sec
162 sec
244 sec
2 mins 44 sec
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds i
Choices:
3:2
3:4
4:2
None of these
Answer: A
Question: A carpenter worked alone for 2 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choices:
7
8
14
24
Answer: B
Question: If the numbers 1 to 99 are written on 99 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Choices:
1/25
1/99
1
2
Answer: B
Question: Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 3. If n is greater than 30, what is the remainder that n leaves after division by 30?
Choices:
12
18
22
28
Answer: C
Question: For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 5.0– 5.0*?
Choices:
1.2
1.8
2.2
1.0
Answer: D
Question: Consider a sequence of numbers given by the expression 7 + (a - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
Choices:
1636
16360
16000
15360
Answer: B
Question: If ABC is a quarter circle and a smaller circle is inscribed in it; if radius of quarter circle is 1.414units. Find the radius of smaller circle
Choices:
0.586
0.784
0.874
0.974
Answer: A
Question: If e and b are positive numbers, and e^3 + b^3 = 75, then the greatest possible value of e is between:
Choices:
3 and 5
4 and 5
5 and 7
6 and 9
Answer: B
Question: A row of seats in a movie hall contains 10 seats. 3 Girls and 7 boys need to occupy those seats. What is the probability that no two girls will sit together?
Choices:
7/15
4/15
6/15
9/15
Answer: A
Question: Tom drives from town R to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between R and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Choices:
20
24
30
36
Answer: A
Question: What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?
Choices:
rs.601
rs.602
rs.603
NONE OF THESE
Answer: B
Question: A person can swim in still water at 12 km/h. If the speed of water 10 km/h, how many hours will the man take to swim back against the current for 8km?
Choices:
4
5
9
6
Answer: A
Question: Which of the following CANNOT be the median of the 3 positive integers a, b, and c?
Choices:
c
a+c
(a+c)/2
(a+c)/3
Answer: B
Question: if the length of rectangle is three times of its breadth.if the area of rectangle is 6075 sq.m,then calculate the length?
Choices:
135
75
140
none of these
Answer: A
Question: 30^10 / 210^5=?
Choices:
5^6
(30/7)^5
6^3
15^3
Answer: B
Question: By weight, liquid X makes up 1.5 percent of solution P and 6.5 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
5.0%
5.5%
5.8%
6.0%
Answer: B
Question: A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 18 inches and the width of the wall is 32 inches, what is the length of the wall, in inches?
Choices:
18.25
19.25
20.25
21.25
Answer: C
Question: If four coins are tossed, the probability of getting two heads and two tails ?
Choices:
3/8
3/86
3/5
3/2
Answer: A
Question: in how man ways team of four can be formed from four boys and three girls such that atleast one boy and one girl should be there?
Choices:
34
35
36
37
Answer: A
Question: A dice has one of the first 10 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 8 times and the results added.the addition is most likely to be closet to
Choices:
120
103
105
70
Answer: B
Question: A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 21%?
Choices:
18.15 per kg
16.5 per kg
16 per kg
None of these
Answer: A
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.306 less than the sum lent. What was the sum lent?
Choices:
278
289
500
450
Answer: D
Question: There are 408 boys and 216 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Choices:
26
35
30
45
Answer: A
Question: The average earning of a for the first 4days of a week is Rs18 and for the last four days is Rs20. If he earns Rs.20 on the fourth day, his average earning forthe whole week is?
Choices:
Rs. 20
Rs. 30
Rs. 40
Rs. 50
Answer: A
Question: Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Choices:
70 sec
80 sec
90 sec
100 sec
Answer: C
Question: By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error T that the carpenter can make in calculating the volume of the rectangular box?
Choices:
3%
10%
18%
22%
Answer: D
Question: The following list follows a peculiar pattern. Can you find it out and guess the next number?
2, 12, 36, 80, 150, 252, ?
Choices:
392
393
394
none
Answer: A
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8000
8800
8900
9000
Answer: A
Question: At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 25, respectively, who is the most popular student?
Choices:
Baskar
Kamal
Dinesh
They have equal popularity
Answer: A
Question: A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres Q were used for corn?
Choices:
258
376
470
517
Answer: B
Question: n denotes the number obtained when n is rounded to the nearest tenth.
For example 4.31 = 4.3
0.089 - 1.135 =
Choices:
1.04
-1.05
-1.0
-0.1
Answer: C
Question: Jim began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Jim?
Choices:
35
39
40
60
Answer: A
Question: (2-x)^(x^2)=1^3x
What is the value of x ?
Choices:
3/2
1
3
0
Answer: B
Question: City A to city B, Andrew drove for 1hr at 46 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
56.5
61
61.5
62.5
Answer: A
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
11/145
31141
None
Answer: A
Question: A merchant purchased a jacket for $60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 20 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$0
$4
$12
$15
Answer: A
Question: Mary travels the first 9 hours of her journey at 40 mph speed and the remaining 6 hours at 30 mph speed. What is the average speed of Mary's travel in mph?
Choices:
34 mph
36 mph
35 mph
31 mph
Answer: B
Question: For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 220 true?
Choices:
3
5
6
9
Answer: C
Question: Instead of multiplying a number by 9, the number is divided by 9. What is the percentage of error obtained ?
Choices:
99.765%
96.765%
95.765%
98.765%
Answer: D
Question: Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 5. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
Choices:
7, 9, 17
6, 9, 12
5, 15, 18
9, 10, 13
Answer: B
Question: The length of a side of a hexagon is 10 inches. What is the perimeter?
Choices:
20
30
40
60
Answer: D
Question: A positive number x is multiplied by 8, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
8/3
2/3
1/2
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 40 minutes respectively, and a third pipe C can empty it in 80 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
15 1/7 min
17 1/7 min
7 1/7 min
16 min
Answer: D
Question: A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
Choices:
15%
25%
52%
56%
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 16 sec to pass a telegraph post, then the length of the train is?
Choices:
320 m
120 m
178 m
189 m
Answer: A
Question: 100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Choices:
70
85
90
95
Answer: A
Question: Find the remainder T when 12^190 is divided by 1729 ?
Choices:
1
1728
1717
4
Answer: C
Question: A mixture of 120 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:
3 liters
8 liters
5 liters
7 liters
Answer: B
Question: Twelve dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 12 dots that do not form an equilateral triangle?
Choices:
212
216
220
224
Answer: B
Question: There are 4 bottles with the same number balls m respectively. If balls from only the 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls in the bottles is 1 : 6 : 5 : 4, what fraction does the moved balls represent in terms of m?
Choices:
m/2
3m/4
m
4m/5
Answer: B
Question: Which of the following will divide evenly into 507,406,520?
Choices:
11
9
3
4
Answer: D
Question: In a class there are 20 boys and 20 girls. In how many ways can a boy and a girl be selected?
Choices:
400
600
530
630
Answer: A
Question: A circular well with a diameter of 2 metres, is dug to a depth of 4 metres. What is the volume of the earth dug out?
Choices:
28 m³
44 m³
46 m³
None
Answer: B
Question: If x^6 > x^9 > x^7, which of the following could be the value of x?
Choices:
-1/2
2
1/2
6
Answer: A
Question: A grocer has a sale of Rs. 8435, Rs. 8927, Rs. 8855, Rs. 9230 and Rs. 8562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 8500?
Choices:
s. 2991
s. 3991
s. 4991
s. 6991
Answer: D
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine K is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine K can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
Choices:
13
11
9
7
Answer: C
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 17 candidates. She plans to have one working interview with 3 of the 17 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
Choices:
420
300
30
333
Answer: A
Question: Three numbers are in the ratio 3:5:7. The largest number value is 56. Find difference between Smallest & largest number is?
Choices:
20
36
32
30
Answer: C
Question: The population of a town increased from 1,34,000 to 2,32,500 in a decade. The average percent increase of population per year is:
Choices:
7.3%
7.6%
8.75%
None
Answer: A
Question: A car crosses a 720 m long bridge in 2 minutes. What is the speed of car in km per hour?
Choices:
21.6 km/hr
31.6 km/hr
15.6 km/hr
22.3 km/hr
Answer: A
Question: Sara has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
Choices:
32
29
28
27
Answer: A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
16
17
19
13
Answer: C
Question: P and Q started a business investing Rs 75000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
Choices:
5:1
5:6
17:7
3:8
Answer: A
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 min
6 hrs 91 min
8 hrs 21 min
6 hrs 51 min
Answer: A
Question: The sum of four consecutive even numbers is 292. What would be the smallest number?
Choices:
68
60
57
70
Answer: D
Question: 5 3 -2 -5 -3 2....What is the sum of first thirty number sequence?
Choices:
0
2
3
4
Answer: A
Question: In an examination, the percentage of students qualified to the students appeared from school 'P' is 70%. In school 'Q', the number of students appeared is 30% more than the students appeared from school 'P' and the number of students qualified from school 'Q' is 50% more than the students qualified from school 'P'. What is the % of students qualified to the number of students appeared from school 'Q' ?
Choices:
80.76%
80.72%
80.79%
80.74%
Answer: A
Question: The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
Choices:
158.5 cms
159 cms
159.5 cms
none
Answer: B
Question: Find a sum for first 9 prime numbers?
Choices:
28
29
82
100
Answer: D
Question: The average age 9 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:
26
18
17
12
Answer: B
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Choices:
6
5
9
1
Answer: B
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
13 * 15 * 17 =?
Choices:
49
68
268
55
Answer: C
Question: If the city centers of Tokyo and London are 5936 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
Choices:
4.9 × 10^7
3.8 × 10^8
2.6 × 10^9
1.2 × 10^10
Answer: B
Question: a, b, c and d are four consecutive numbers. If the sum of a and dis 103, what is the product of b and c?
Choices:
2652
2534
3354
4234
Answer: A
Question: From the word 'TEA', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Choices:
0
3
2
9
Answer: A
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum ?
Choices:
Rs. 8032.50
Rs. 8900
Rs. 8925
None
Answer: C
Question: . In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
50%
54%
55%
57%
Answer: A
Question: A man rows to a place 48 km distance and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Choices:
1 km/hr
3 km/hr
4 km/hr
None
Answer: A
Question: How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m
Choices:
6400
2679
2667
1997
Answer: A
Question: A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1996. She ended on her
Choices:
b) the index finger
c) the middle finger
d) the ring finger
e) the little finger
Answer: C
Question: If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
Choices:
30%
90%
40%
42%
Answer: C
Question: The average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women?
Choices:
26
30
50
11
Answer: C
Question: Ella picked a number of pears, each of which she sold, canned, or poached. If she canned 60 percent more than she poached, and she poached 10 percent less than she sold. If there were a total of 501 pears, then how many pears did she sell?
Choices:
135
140
145
150
Answer: D
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.2
2.5
2.1
2.3
Answer: B
Question: One-seventh of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
Choices:
3.4%
4.5%
5.6%
6.7%
Answer: A
Question: Which of the following inequalities is equivalent to 11 - 11x > 133?
Choices:
x > -1
x > -3
x > -11
x > -5
Answer: C
Question: Find the value of x in (x/5)+3=4.
Choices:
2
3
4
5
Answer: D
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.50 less, he could have gained 25%. What is the cost price?
Choices:
250
279
278
268
Answer: A
Question: A person covered one-fourth of the total distance at 14 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
20 (4/11)kmph
21 (7/3)kmph
27 (7/3)kmph
21 (1/8)kmph
Answer: A
Question: When the price of a product was decreased by 20%, the number sold increased by 60%. What was the effect on the total revenue ?
Choices:
28%
35%
45%
52%
Answer: A
Question: A squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. How much time will the squirrel take to climb 26 metres?
Choices:
15 minutes
12 minutes
58 minutes
10 minutes
Answer: A
Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $95 per day. What was his wage on the 8th day?
Choices:
$76
$92
$97
$104
Answer: A
Question: Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :
Choices:
1 hr 11 min
1 hr 12 min
1 hr 30 min
None of these
Answer: B
Question: U is a set containing 8 different positive odd numbers. V is a set containing 7 different numbers, all of which are members of U. Which of the following statements CANNOT be true?
Choices:
The mean of U is even.
The mean of V is even.
The range of U is equal to the range of V.
The median of V is equal to the mean of V.
Answer: B
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 7 meters, and the interior of tank B has a height of 7 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
70%
100%
120%
125%
Answer: A
Question: A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 4 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
Choices:
1.75< t < 2.0
1 < t < 2
2.5 < t < 3.0
3 < t < 3.5
Answer: B
Question: How much interest can a person get on Rs. 8200 at 10.5% p.a. simple interest for a period of six years and six months?
Choices:
5596.5
5596.54
3587.51
3587.57
Answer: A
Question: Two brother X and Y appeared for an exam. The probability of selection of X is 1/5 and that of B is 2/7. Find the probability that both of them are selected.
Choices:
2/35
2/63
2/29
2/10
Answer: A
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
299
375
662
201
Answer: B
Question: There is a 4 digit no. in which 3rd digit is twice of first one. Second digit is the sum of first and third. Fourth digit is twice of third. What is the no?
Choices:
1324
1444
1524
1354
Answer: A
Question: Find the circumference and area of radius 11 cm.
Choices:
144 cm²
380 cm²
284 cm²
394 cm²
Answer: B
Question: A student gets 55% in one subject, 65% in the other. To get an overall of 55% how much should get in third subject.
Choices:
25%
45%
55%
65%
Answer: B
Question: What is the probability that the sum of two dice will yield a 8, and then when both are thrown again, their sum will again yield a 8? assume that each die has 7 sides with faces numbered 1 to 7.
Choices:
1/36
1/12
1/6
1/49
Answer: D
Question: In a kilometer race, A beats B by 20 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
199 sec
192 sec
490 sec
Answer: D
Question: A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely.
Choices:
2 hours 45 mins
3 hours 30 mins
3 hours 45 mins
None of these
Answer: C
Question: On a map, 1 centimeter represents 19 kilometers. Two cities 627 kilometers apart would be separated on the map by how many centimeters?
Choices:
27
49
33
280
Answer: C
Question: x = y - (10/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
Choices:
stay the same
increase four fold
double
increases to more than double
Answer: D
Question: If pq = p^6 + q^2 – 2pq, for what value of q is pq equal to p^6 for all values of p?
Choices:
0
-2
1
2
Answer: A
Question: A 250 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:
250
240
235
230
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
269
245
888
121
Answer: B
Question: The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Choices:
3/2
4/5
5/8
4/2
Answer: A
Question: The average of first ten prime numbers which are odd is?
Choices:
22.1
15.3
15.8
14.6
Answer: C
Question: Consider 6 points, two of which are A and B, such that each pair of points is connected by a
line segment and no three points are collinear. Compute the number of distinct paths from A
to B such that no point is visited more than once.
Choices:
62
63
64
65
Answer: D
Question: If it takes a tub 6 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
Choices:
1 minute, 12 seconds
1 minute, 50 seconds
2 minutes, 24 seconds
4 minutes, 12 seconds
Answer: C
Question: A qualified worker digs a well in 6 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Choices:
1:34
1:44
1:54
2:14
Answer: C
Question: Find the compound interest and the amount on Rs.6000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
s.1440.75
s.1185.75
s.1346.75
s.945.75
Answer: D
Question: how many internal diagonals does a octagon (eight sided polygon) have?
Choices:
85
70
35
20
Answer: D
Question: x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) + (10x + z) could be equal to
Choices:
36
44
63
95
Answer: D
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 10 sec. What is the length of the fast train?
Choices:
55 7/4 m
55 7/2 m
55 7/9 m
55 5/9 m
Answer: D
Question: When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is
Choices:
80 lakh tons
200 lakh tons
800 lakh tons
None
Answer: B
Question: There are 27 different three-digit integers that can be formed using only the digits 1, 2 and 4. If all 27 of the integers were listed, what would their sum be?
Choices:
6793
6893
6993
7093
Answer: C
Question: What is the probability of rolling tow six-sided dice, and getting a different number on each die?
Choices:
5/6
4/9
5/9
7/18
Answer: A
Question: 0, 5, 15, 30, 50, 75, 105, 140, ?What number should replace the question mark?
Choices:
180
190
175
170
Answer: A
Question: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 40 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:
68%
72%
76%
80%
Answer: A
Question: Find the odd man out: 111, 133, 143, 155, 188, 200.
Choices:
143
200
All of these.
tortilla chips
Answer: A
Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
Choices:
440
556
792
1200
Answer: A
Question: If 20% of a = b, then b% of 20 is the same as
Choices:
3% of a
4% of a
5% of a
7% of a
Answer: B
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is
Choices:
80 gallons
120 gallons
160 gallons
None
Answer: B
Question: The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 90 cents more than the price of commodity Y?
Choices:
2011
2012
2013
2014
Answer: C
Question: An investment yields an interest payment of $216 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choices:
$30,400
$28,800
$32,500
$35,100
Answer: B
Question: A group of 5 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 4 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
Choices:
x/35
3x/70
3x/10
4x/45
Answer: D
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
52%
12%
19%
22%
Answer: B
Question: A river 8m deep and 25 m wide is flowing at the rate of 8 kmph the amount of water that runs into the sea per minute is?
Choices:
26666
29666
22666
26699
Answer: A
Question: In January of 2016, there were 100 cats and 125 dogs in a town. In January of 2017, there were 115 cats and 150 dogs. By approximately what percent did the ratio of cats to dog decrease from the 2016 to 2017.
Choices:
12.9%
15%
18%
5%
Answer: A
Question: In a party every person shakes hands with every other person. If there were a total of 171 handshakes in the party then what is the number of persons present in the party ?
Choices:
16
17
18
19
Answer: D
Question: A goods train runs at the speed of 72 kmph and crosses a 230 m long platform in 26 seconds. What is the length of the goods train?
Choices:
270m
643m
832m
290m
Answer: D
Question: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (4,-3), (4, 7), (12, 2), (12,-7)?
Choices:
68
72
76
80
Answer: C
Question: Find the H.C.M of the fractions 1/3, 3/5 and 7/12
Choices:
1/60
1/15
1/20
1/34
Answer: A
Question: A school has 4 section of Chemistry in Class X having 70, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
Choices:
52.9
51.9
53.25
None of the above
Answer: B
Question: A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
15
77
88
11
Answer: A
Question: If shares of two persons in profits are Rs.800 and Rs.600 then ratio of their capitals is
Choices:
2:3
4:3
1:3
1:5
Answer: B
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 20:50:80. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Choices:
640
700
750
800
Answer: A
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Choices:
1/5
1/8
5/8
3
Answer: A
Question: All of the citizens of a country have a eight-character or nine-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Choices:
35(36^9)
37(36^9)
35(36^8)
37(36^8)
Answer: D
Question: A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choices:
6 : 10 : 5
6 : 5 : 10
10 : 6 : 5
none
Answer: A
Question: Find the compound ratio of (2:3), (6:11) and (11:5) is
Choices:
2:1
1:2
4:5
2:3
Answer: C
Question: 1=1,2=2,3=9,4=16,5=25, then 9=?
Choices:
255
3
445
235
Answer: B
Question: A miniature gumball machine contains 4 blue, 3 green, and 3 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
Choices:
3/5
3/10
7/30
11/30
Answer: B
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 8 days, then the fraction of the work that is left is
Choices:
7/15
3/15
8/15
1/15
Answer: D
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 3:5. What is the ratio of the smaller number to the larger?
Choices:
1:5
1:3
1:2
2:3
Answer: A
Question: Find the cost of fencing around a circular field of diameter 34 m at the rate of Rs.2 a meter?
Choices:
212
278
279
222
Answer: A
Question: Entry fee in a zoo is $10. Later this was reduced by 50% which increased the sale by 40%. The percentage increase in the number of visitors is?
Choices:
50%
180%
200%
150%
Answer: B
Question: If 20% of A is the same as 25% of B, then A : B is :
Choices:
4:3
5:4
6:7
5:7
Answer: B
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability R that all three secretary are assigned at least one report?
Choices:
64/81
4/9
16/81
5/9
Answer: B
Question: In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
Choices:
15
17
20
23
Answer: D
Question: In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a12?
Choices:
55
23
19
1
Answer: B
Question: The number of female students in a college in the previous year was 350. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
Choices:
1200
1400
1600
1800
Answer: B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 40 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
5
6
7
9
Answer: D
Question: Tough and Tricky questions: Word Problems.
It takes Sarah 12 minutes to do one oil change, and it takes Alice 8 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
Choices:
09:24 a.m.
12:00 a.m.
1:00 p.m.
2:00 p.m.
Answer: A