antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 40 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
333$
420$
450$
480$
Answer: A
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−2, −3)?
Choices:
4
0
−2
−4
Answer: A
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 30 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
Choices:
90
50
55
60
Answer: A
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
46
45
53
64
Answer: A
Question: The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :
Choices:
2
3
4
5
Answer: A
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 360 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
12%
10%
34.1%
12.2%
Answer: B
Question: What is the least integer greater than –2+0.5?
Choices:
–1
0
1
2
Answer: A
Question: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Choices:
814
840
844
None of these
Answer: A
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 12:40 a.m., how long will the conference last if there are a total of 6 seminars that day?
Choices:
hours and 20 minutes
hours and 25 minutes
hours and 30 minutes
hours and 35 minutes
Answer: A
Question: When which digit in 467*15*23 is added 1, the product changes by least value?
Choices:
2
6
7
5
Answer: C
Question: A man got killed in his office. The suspects are Edison, Maxis, Jason, Janna, Sofia.
A calendar near the man has blood, written 6, 4, 9,
10, 11.
Who is the killer?
Choices:
Jason
Sofia
Edison
Maxis
Answer: A
Question: If |x+y|=|x-y|, then x*y must be equal to:
Choices:
1
2
0
-2
Answer: C
Question: If an article with marked price of $300 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Choices:
151
230
201
171
Answer: D
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:
177
127
150
881
Answer: C
Question: At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score D of team B?
Choices:
1)8
3)20
4)40
5)80
Answer: A
Question: If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 > 0
III	2n - 1 > 0
Choices:
II only
III only
I and II only
none
Answer: B
Question: x=2+2^(2/3)+2^(1/3), then what is the value of x^3-6x^2+6x? here X^Y indicates X to the power Y.
Choices:
2
4
5
6
Answer: A
Question: A rectangular cube has a volume of 11 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
Choices:
48
64
88
100
Answer: C
Question: A certain roller coaster ride has fewer than 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If riders are let on only in groups of 6 all riders will be able to get on the roller coaster. Which of the following could be the number of people in the line?
Choices:
22
52
67
72
Answer: D
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
69.5
64.5
62.5
22.5
Answer: B
Question: There are 6 different travelers who each have a choice of vacationing at one of 10 different destinations. What is the probability that all 6 travelers will end up vacationing at the same destination?
Choices:
0.001
0.0002
1.0e-05
0.0001
Answer: C
Question: Two teams participating in a competition had to take a test in a given time. Team
B chose the easier test with 300 questions, and team A the difficult test with 10%less questions. Team A completed the test 3 hours before schedule while team B completed it 6 hours before schedule. If team B answered 7 questions more than
team A per hour, how many questions did team A answer per hour?
Choices:
17
18
19
20
Answer: B
Question: There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
Choices:
6
28
7
9
Answer: A
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7380 km and comes back to the starting point. The total time taken by him is:
Choices:
937.1 hours
915 hours
905 hours
915 hours
Answer: A
Question: Of the employees in a company, 30 % are female who have a master degree. If 50 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Choices:
70%
60%
66%
65%
Answer: B
Question: At a party, every two people shook hands once. How many people
attended the party if there were 66 handshakes?
Choices:
12
33
65
67
Answer: A
Question: What is 982*982?
Choices:
964,219
964,324
975,019
975,369
Answer: B
Question: 852.68 âˆ’ 4.0 + 108.98 = ? âˆ’ 2132.54
Choices:
6078.08
6258.58
6088.58
None
Answer: A
Question: The cost of 2 chairs and 3 tables is Rs.1400. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Choices:
287
277
188
200
Answer: D
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10
88
17
22
Answer: A
Question: What was the difference between the total monthly salary of Arun in all the years together and Suman's monthly income in the year 2007 ?
Choices:
33
25
26
27
Answer: A
Question: Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 35?
Choices:
12
18
22
28
Answer: B
Question: Charlie, a painter, has 9 jars of paint: 4 are Red, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no red paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of red paint 4) J2, if the paint contains exactly 1 jar of red paint What is the probability that the new colour will be a shade of J (J1 or J2)?
Choices:
37/21
37/42
42/37
74/42
Answer: B
Question: A can do a piece of work in 28 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
Choices:
5 days
6 days
7 days
11 days
Answer: C
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Choices:
2/7
9
1/5
2
Answer: C
Question: John paid a sum of money for purchasing 20 pens, which he recovered in full when he sold 10 of them. What was his percentage of profit or loss per pen?
Choices:
100%
90%
80%
95%
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
21%
85%
24%
Answer: A
Question: The compound interest earned on a sum for the second and the third years are $1400 and $1512 respectively. What is the rate of interest?
Choices:
6%
7%
8%
9%
Answer: C
Question: Which of the following inequalities is always true for any real number 'x' and 'y'?
Choices:
|x + y| > |y| + |x|
|x + y| <= |x| + |y|
|x - y| <= |x| - |y|
|x - y| > |x| - |y|
Answer: B
Question: A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
Choices:
140
277
178
112
Answer: C
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3:9
3:5
3:1
3:2
Answer: C
Question: If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Choices:
32
50
80
120
Answer: A
Question: When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
Choices:
150 m
106 2/3 m
166 2/3 m
168 2/3 m
Answer: C
Question: If m/21 is an integer, then each of the following must be an integer EXCEPT
Choices:
5/2
3
2
1
Answer: A
Question: Find out the wrong term in the series 5, 10, 50, 500, 25000, 3000000
Choices:
12,500,000
9,000,000
3,00,000
60,000
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
Choices:
36.5
34
33
32.5
Answer: A
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 7 and then added to the smaller of the two original integers. Which of the following represents this operation?
Choices:
16t-2
-2
3
-2-4t^2
Answer: A
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 40 white marbles. How many red marbles could be in bag A?
Choices:
8
4
6
8
Answer: A
Question: Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
Choices:
250
85
75
65
Answer: B
Question: We had $350 left after spending 30% of the money that we took for shopping. How much money did we start with?
Choices:
$460
$480
$500
$520
Answer: C
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 2/31%
18 4/11%
16 2/11%
Answer: A
Question: If n = 3p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: A
Question: If P= {multiplies of 3 between 1 and 20}, Q = {even natural number upto 15} , find the intersection of the two given set P and Q.
Choices:
P∩Q= {6,12}
P∩Q= {10,12}
P∪Q= {10,12}
P∪Q= {8,10}
Answer: A
Question: 46080, 3840, 384, 48, 8, 2, ?
Choices:
1
1⁄8
None of these
1/32
Answer: A
Question: A, B and C rents a pasture for Rs.950. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
295
676
156
122
Answer: A
Question: In a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. Find the total number of cows.
Choices:
14
16
18
20
Answer: A
Question: A box contains 2 white balls and 4 red ball. in how many ways can 3 balls be drawn from the box , if at least one black ball is to be included i the draw ?
Choices:
48
64
96
None
Answer: B
Question: If the height of a cone is increased by 120% then its volume is increased by?
Choices:
777
998
729
120
Answer: D
Question: Find the average of all prime numbers between 60 and 90
Choices:
55
69
65
77
Answer: D
Question: An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for Rs. 2. What is his percentage profit or loss?
Choices:
11.11% loss
3% loss
2.5 % profit
None of These
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
55
43
12
Answer: A
Question: A is twice efficient than B. A and B can both work together to complete a work in 7 days. Then find in how many days A alone can complete the work?
Choices:
10.5
10.8
10.1
80.1
Answer: A
Question: In a public show 50 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Choices:
110
120
300
150
Answer: C
Question: Which of the following numbers is not prime?
Choices:
11+12
31-2
4+6
1000-3
Answer: C
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
230 m
260 m
275 m
295 m
Answer: A
Question: {130, 280, 250, n}
Which of the following could be the median of the 4 integers listed above?
I. 160
II. 210
III. 250
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: C
Question: What will be the acute angle between hands of a clock at 2 : 30?
Choices:
105°
95°
135°
None of these
Answer: A
Question: A box contains SEVEN bulbs out of which 4 are defective. If THREE bulbs are chosen at random, find the probability that atleast one bulb is good
Choices:
4/39
4/31
4/35
6/35
Answer: C
Question: The ages of 2 persons differ by 38 years. If 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
Choices:
48.5
50.4
62.6
57.6
Answer: D
Question: A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Choices:
8 km/hr, 1 km/hr
1 km/hr, 6 km/hr
2 km/hr, 1 km/hr
4 km/hr, 1 km/hr
Answer: A
Question: If a^2 = b^2, which of the following must be true?
Choices:
|a| = |b|
a = |b|
a = −|b|
a = b
Answer: A
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A
Choices:
Rs.56
Rs.100
Rs. 240
Rs.90
Answer: C
Question: A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 880 in 4 years. The
rate on interest per annum is.
Choices:
5%
6%
7%
10%
Answer: D
Question: A worker is paid a regular rate of $0.10 for completing a survey. The worker completes 50 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 35 surveys involving the use of her cellphone, how much did she get that week?
Choices:
$9
$10.50
$1.50
$12
Answer: D
Question: 90 + 5 * 12 / (180/3) = ?
Choices:
78
27
91
81
Answer: C
Question: For any non-zero a and b that satisfy |ab| = ab and |b| = -b
|b - 4| + |ab - b| = ?
Choices:
b) 2b - ab - 4
c) ab + 4
d) ab - 2b
e) ab - 2b + 4
Answer: D
Question: One-sixth 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:
4%
6%
11%
16%
Answer: A
Question: Which one the following fractions has the exact division of nine?
Choices:
37777/9
87777/9
57777/9
67777/9
Answer: B
Question: The 5 th term and 21 st term of a series in A.P are 10 and 42 respectively. Find the 31 st term.
Choices:
55
65
62
52
Answer: C
Question: . A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
23 years
24 years
25 years
Answer: A
Question: (xn - an) is completely divisible by (x - a), when
Choices:
n is any natural number
n is and odd natural number
n is prime
None
Answer: A
Question: How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 15% solution?
Choices:
A)5.8
C)9.6
D)12.5
E)7.9
Answer: A
Question: Carol is four times Alice’s age but only twice as old as Betty. Alice is thirty-six years younger than Carol. How old is Betty?
Choices:
39
42
48
24
Answer: D
Question: x+(1/x) = 1.5 find x^2 + (1/x^2)
Choices:
3.25
4.25
5.25
0.25
Answer: D
Question: If a coin is tossed 6 times what is the probability that it will land either heads 6 times or tails 6 times?
Choices:
1/8
1/16
1/32
1/64
Answer: C
Question: The ages of two persons differ by 16 years. 7 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Choices:
31
25
30
35
Answer: A
Question: The perimeter of a square is equal to the radius of a circle having area 39424 sq cm, what is the area of square?
Choices:
441 sq cm
784 sq cm
Can’t say
None of these
Answer: B
Question: The sum of 11 hours 45 minutes and 2 hours 15 minutes is approximately what percent of a day?
Choices:
approx 58%
approx 74%
28%
72%
Answer: A
Question: How much time will take for an amount of Rs. 450 to yield Rs. 78 as interest at 4.5% per annum of simple interest?
Choices:
3 years 10 months
3 years
9 years
5 years
Answer: A
Question: The average weight of 36 men is 50 kg. It was found later that the figure of 37 kg was misread as 73 kg. What is the correct average?
Choices:
49 kg
50.5 kg
51.5 kg
None of these
Answer: A
Question: A snooker tournament charges $45.00 for VIP seats and $15.00 for general admission (“regular” seats). On a certain night, a total of 300 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Choices:
240
220
230
225
Answer: B
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years , at the rate of 9% p.a. for the next three years , and at the rate of 14% p.a. for the period beyond five years. 1£ he pays a total interest of Rs. 11,400 at the end of nine years how much money did he borrow?
Choices:
Rs.09,000
Rs.11,000
Rs.10,000
Rs.12,000
Answer: D
Question: The average of first 10 odd numbers is?
Choices:
10
87
26
39
Answer: A
Question: In a village of 100 households, 80 have at least one DVD player, 90 have at least one cell phone, and 65 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:
Choices:
55
45
30
20
Answer: C
Question: 2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds
Choices:
11:9
17:9
21:9
None of these
Answer: A
Question: If 2 persons can do 2 times of a particular work in 2 days, then, 7 persons can do 7 times of that work in?
Choices:
2 days
6 days
7 days
8 days
Answer: A
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical A required to keep the reaction rate unchanged.
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: B
Question: in how many can the letters of the word COLLEGE be arranged,such that its vowels do not come together?
Choices:
920
1020
1060
1080
Answer: D
Question: One-fourth of the boys and three-eighth of the girls in a school participated in the sports. What fractional part of the total student population of the school participated in the annual sports ?
Choices:
5/8
8/12
Data inadequate
None of these
Answer: C
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
277
279
712
Answer: A
Question: A room 13 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
116406
116647
116291
116675
Answer: C
Question: A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
90
45
Answer: D
Question: For the symbol, m”n=n^2−m for all values of m and n. What is the value of 4”3?
Choices:
5
2
1
0
Answer: A
Question: The ratio of pens to pencils is 5 to 6. There are 8 more pencils than pens. How many pencils are there?
Choices:
32
48
55
64
Answer: B
Question: Find √? /15= 4 ?
Choices:
5776
304
3600
None
Answer: C
Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 10, and the difference between the total number of strawberries and the total number of blueberries would increase by 50. Each blue box contains how many blueberries?
Choices:
15
20
25
30
Answer: B
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 7?
A. 48 kmph
Choices:
54
28
27
16
Answer: A
Question: A man can row with a speed of 25 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
B)28
C)20
D)21
E)30
Answer: D
Question: In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 3/5 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 30 shiny igneous rocks, how many total rocks does Cliff have?
Choices:
45
60
150
135
Answer: C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
2765
6000
1298
1261
Answer: B
Question: If air is called green , green is called blue, blue is called tangerine, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
Choices:
Sky
Water
Tangerine
Black
Answer: C
Question: A store raised the price of an item by exactly 15 percent. Which of the following could NOT be the resulting price of the item?
Choices:
230
345
460
300
Answer: D
Question: Donovan took a math test and got 35 correct and 13 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
Choices:
67.78%
72.92%
47.78%
97.78%
Answer: B
Question: What is the two-digit number?
I.
The difference between the two-digit number and the number formed by interchanging the digits is 27.
II.
The difference between the two digits is 3.
III.
The digit at unit's place is less than that at ten's place by 3.
Choices:
II and III
All
I and either II or III
Even with all I, II and III, answer cannot be give.
Answer: D
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choices:
18
92
27
28
Answer: A
Question: 14. The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Choices:
7
8
5
4
Answer: A
Question: How long will it take a train travelling at 98kmph to pass an electric pole if the train is 140 m long
Choices:
5.15
3.15
1.15
7.15
Answer: A
Question: A third of Arun’s marks in mathematics exceeds a half of his marks in English by 80.if he got 240 marks In two subjects together how many marks did he got in English?
Choices:
180,60
140,70
120,90
None of them
Answer: A
Question: 15 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?
Choices:
10days
9days
8days
12days
Answer: A
Question: If x, y, and z are positive integers and 3x = 2y = 4z, then the least possible value of x + y + z is
Choices:
25
30
42
13
Answer: D
Question: How many integers between 4000 and 5000 that have distinct digits and increase from left to right ?
Choices:
48
60
20
600
Answer: C
Question: A certain rectangular window is two times as long as it is wide. If its perimeter is 30 feet, what are its dimensions in terms of length by width?
Choices:
11 by 3
10.5 by 3.5
10 by 5
9 by 3
Answer: C
Question: 4 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?
Choices:
12
15
16
21
Answer: D
Question: 125 students of a school are about embarking on a trip. What is the least number of vans needed to convey them given that each van will only take 10 students each?
Choices:
11
13
18
10
Answer: A
Question: Convert 0.36 in to a vulgar fraction ?
Choices:
16/50
17/50
9/25
None
Answer: C
Question: A farm has only chickens and pigs. When the manager of the farm counted the heads of the animals on the farm, the number totaled up to 60. When the number of legs was counted, the number totaled up to 160. How many more chickens than pigs are there on the farm? Note: Each pig has 4 legs and each chicken had 2 legs.
Choices:
20
24
28
32
Answer: A
Question: If the sides of a triangle are 26 cm, 25 cm and 10 cm, what is its area?
Choices:
110
130
140
125
Answer: D
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 30 times, A has killed:
Choices:
72 birds
33 birds
80 birds
20 birds
Answer: B
Question: Each of four different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Choices:
1/6
1/4
3/8
1/2
Answer: B
Question: If the 1st of the month occurs on a Thursday, on which day of the week does the 20th occur?
Choices:
Saturday
Tuesday
Thursday
Sunday
Answer: B
Question: The difference of two numbers is 1340. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
A)265
C)290
D)300
E)310
Answer: A
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 3, whithout any of the digits repeating?
Choices:
96
120
181
216
Answer: D
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number Q?
Choices:
1386
3108
308
13986
Answer: D
Question: A is twice as good workman as B, and together they complete a work in 5 days. In how many days can the work be complete by B alone?
Choices:
65 days
45 days
75 days
15 days
Answer: D
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY2?
Choices:
1/4
4/5
7/3
2/7
Answer: A
Question: Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.
Choices:
195,143
175,123
165,113
None of them
Answer: A
Question: You enter a weight loss challenge game and manage to lose 15% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Choices:
13.3%
9%
14%
12%
Answer: A
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 15
80-89 27
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 72 scores?
Choices:
b) 70-79
c) 80-89
d) 90-99
e) Cannot determine.
Answer: B
Question: A box contains2 blue marbles, 4 red marble, 3 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either green or yellow?
Choices:
4/11
3/11
2/11
1/11
Answer: C
Question: Let C represent a set of four distinct prime numbers. If the sum of the numbers in C is even and x is a member of C, then what is the least possible value that x can be?
Choices:
2
3
5
7
Answer: B
Question: The total age of A & B is 12 years more than the total age of B & C. C is how many year younger than A.
Choices:
C is 12 years younger than A
C is 12 years younger than C
C is 12 years younger than D
B is 12 years younger than A
Answer: A
Question: New age consultants have three consultants Gyani, Medha, and Buddhi. The sum of the number of projects handled by Gyani and Buddhi individually is equal to the number of projects in which Medha involved. All three consultants are involved together in 6 projects. Gyani works with Medha in 14 projects. Buddhi has 2 projects with with Medha but without Gyani and 3 projects with Gyani but without Medha.
The total number of projects for New age consultants is one less than twice the number of projects in which more than one consultant is involved.
What is the number of projects in which Medha alone is involved?
Choices:
Uniquely equal to 1
Uniquely equal to 4
Cannot be determined uniquely
None of these
Answer: A
Question: If there are 5 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Choices:
24
56
44
80
Answer: D
Question: The average expenditure of a man for the first five months is Rs.180 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Choices:
Rs.150
Rs.160
Rs.175
none
Answer: C
Question: A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Choices:
89 sec
100 sec
150 sec
None
Answer: A
Question: A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house is
Choices:
16 kms
20 kms
24 kms
None of above
Answer: C
Question: The bankerâ€™s discount on Rs. 1600 at 5% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
Choices:
4 months
6 months
12 months
None
Answer: C
Question: If a 36 inches long strip cloth shrinks to 33 inches after being washed, how many inches long will the same strip remain after washing if it were 48 inches long?
Choices:
44 inches
45 inches
46 inches
None
Answer: A
Question: A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Choices:
10
72
26
81
Answer: A
Question: 100 people are attending a newspaper conference. 40 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
Choices:
21
28
30
32
Answer: A
Question: How many two-element subsets of <1, 2,3,4,5,6> are there that do not contain the pair of elements 2 and 4?
Choices:
12
14
15
16
Answer: B
Question: What is 10-8+6-4+...+(-14)?
Choices:
10
12
14
-2
Answer: D
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 1170, what will be C's share of the earnings?
Choices:
$260
$1080
$1170
$630
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
Choices:
5 kmph
20 kmph
22 kmph
25 kmph
Answer: D
Question: A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.
Choices:
12 hours
8 hours
10 hours
4 hours
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 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
88
12
18
Answer: A
Question: Terry is having lunch at a salad bar. There are two types of lettuce to choose from, as well as three types of tomatoes, and four types of olives. He must also choose whether or not to have one of the two types of soup on the side. If Terry has decided to have the salad and soup combo and he picks one type of lettuce, one type of tomato, and one type of olive for his salad, how many total options does he have for his lunch combo?
Choices:
11
24
48
54
Answer: C
Question: s, q, and r are positive integers. If s, q, and r are assembled into the six-digit number sqrsqr, which one of the following must be a factor of sqrsqr?
Choices:
19
17
7
none of the above
Answer: C
Question: In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Choices:
7
10
12
15
Answer: B
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
Choices:
41, 32
42, 33
43, 34
None of these
Answer: B
Question: If a certain manager had received a 10% raise instead of the 12% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?
Choices:
58,806
59,290
59,400
61,600
Answer: D
Question: Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 + S2 + S1. What is the value of K?
Choices:
50
45
236
36
Answer: C
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
99
88
66
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 15% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/13
5/20
6/20
7/20
Answer: D
Question: The sale price of a trolley bag including the sale tax is Rs. 560. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
Choices:
Rs 900
Rs 400
Rs 600
None of these
Answer: B
Question: A square, with perimeter 8, is inscribed in a circle. What is the area of the circle?
Choices:
30π
26π
2π
20π
Answer: C
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
Choices:
25
77
88
44
Answer: A
Question: Find the odd man out. 3, 8, 18, 38, 78, 158, 316
Choices:
158
316
8
78
Answer: B
Question: If (x^2 + 1)y=8, which of the following is not a possible value for y?
Choices:
2/5
18/3
3
17/2
Answer: D
Question: A can eat 10 burgers in 2 days and B can eat 20 burgers in 1 day. For how long will 250 burgers last is both start eating them together?
Choices:
20 days
15 days
10 days
5 days
Answer: C
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/19
30/11
30/13
30/12
Answer: C
Question: What is the difference between the local values of 4 in the number 54404?
Choices:
3996
2877
2077
1211
Answer: A
Question: If x/|y| = -2 which of the following must be true?
Choices:
x = y
x = y^2
x^2 =4* y^2
x^3 = y^3
Answer: C
Question: A pipe can fill a cistern in 77 minutes. Find the time in which 1/11 part of the cistern will be filled?
Choices:
2min
3min
1min
7min
Answer: D
Question: W and X started a business by investing Rs.2100/- and Rs.4900/- respectively. Find the W’s share out of a total profit of Rs.6000:
Choices:
1800
1900
1950
2000
Answer: A
Question: A three-digit number 4a3 is added to another three-digit number 984 to give a four digit number 13b7, which is divisible by 11. What is the value of (a + b)?
Choices:
10
14
17
19
Answer: A
Question: If x^2 - 9 = 0 and x > 0, which of the following must be equal to 0 ?
Choices:
x^2 - 9x + 20
x^2 - 2x + 3
x^2 + 2x - 3
x^2 + 5x - 24
Answer: D
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Choices:
6 2/3%
6 2/6%
6 3/3%
6 2/1%
Answer: A
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 500-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
Choices:
4,100
2,108
2,124
2,256
Answer: A
Question: A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
Choices:
3 m
4 m
7 m
9 m
Answer: C
Question: The total of the ages of Amar, Akbar and Anthony is 45 years. What was the total of their ages four years ago ?
Choices:
29 years
20 years
30 years
21 years
Answer: A
Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 14 minutes, how much time will she spend doing yoga? (rounded to minutes)
Choices:
41 min.
17 min.
23 min.
25 min.
Answer: C
Question: A boy is travelling from his home to school at 3 km/hr and reached 7 min late. Next day he traveled at 6 km/hr and reached 8 min early. Distance between home and school?
Choices:
1.3km
1.4km
1.5km
1.6km
Answer: C
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly 7 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Choices:
32/3
35/3
40/3
44/3
Answer: B
Question: Number A is randomly selected from a set of all primes between 10 and 40, inclusive. Number K is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that A+K is odd?
Choices:
2/3
3/4
4/7
5/8
Answer: C
Question: Find the value of (1-(1/3))(1-(1/4))(1-(1/5))….(1-(1/100)).
Choices:
1/50
9/50
7/50
None of them
Answer: A
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choices:
51
53
54
55
Answer: A
Question: Farmer Brown purchased several rabbits (male and female) and bred them on his farm. The rabbit population grew 500% the first year. The population grew 900% the second year. What was the percent, population growth for the two year?
Choices:
5,000%
2000%
2500%
500%
Answer: A
Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.0?
Choices:
14.4.
15.8.
16.2.
16.4.
Answer: D
Question: If the sum of a number and its square is 182, what is the number?
Choices:
13
17
19
21
Answer: A
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
20000
20289
20027
20026
Answer: A
Question: 54671 - 14456 - 35466 = ?
Choices:
5449
6749
6449
4749
Answer: D
Question: A bag contains 6 white and 4 black balls. 2 balls are drawn at random.
Find the probability that they are of same color.
Choices:
7/15
6/15
3/5
8/5
Answer: A
Question: How many different 4-digit numbers can be written using the digits 1 to 8 without repetition such that the number always contains the digit 2?
Choices:
560
760
840
1260
Answer: C
Question: Six years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
A)21
C)45
D)25
E)26
Answer: A
Question: I sold a book at a profit of 10%. Had I sold it for $100 more, 15% would have been gained. Find the cost price?
Choices:
$2000
$3000
$3120
$1540
Answer: A
Question: Persons A and B. Person A picks a random no. from 1 to 1000.Then person B picks a random no. from 1 to 1000. What is the probability of B getting no. greater then what A has picked.
Choices:
0.4995
0.5995
0.6995
0.7995
Answer: A
Question: In a Shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
60%
55%
Answer: A
Question: What is the square root of 625, divided by 5?
Choices:
36
5
6
1
Answer: B
Question: In a senior secondary school, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If the 15 students play both games and every student in the school playsat least one game, find:
The number of students that play football?
Choices:
15
20
30
35
Answer: A
Question: The average of first 10 prime numbers is?
Choices:
12.4
12.9
12.3
12.1
Answer: B
Question: Sandy had $210 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choices:
$300
$360
$420
$480
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.65 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
55 sec
48 sec
33 sec
42 sec
Answer: D
Question: 4 apple and 3 mangoes costs rs.34, 2 mangoes and 5 oranges costs 49, 3 oranges and 6 apples costs 54. What is the price of 1 apple?
Choices:
151/19
151/18
151/16
153/15
Answer: A
Question: By how much is three-fifth of 390 greater than four-seventh of 210 ?
Choices:
100
110
114
130
Answer: C
Question: What is the median from the below series
77, 72, 68, 76, 78, 88, 84, 86, and 81
Choices:
76
78
77
81
Answer: B
Question: How many of the integers between 10 and 40 are even ?
Choices:
20
15
10
9
Answer: B
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
8
6
9
5
Answer: C
Question: If x is an integer, then y(y – 1)(y – l) must be evenly divisible by three when l is any of the following values EXCEPT
Choices:
-3
-2
2
5
Answer: B
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 100 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
Choices:
(B + 2)/5.
(2B + 200)/3.
(B + 2)/3.
(B - 2)/6.
Answer: A
Question: If a lies in the range (-5,4) then which of the following statements must be true?
Choices:
a > a^2 > a^3 > a^4
a^4 > a^2 > a^3 >a
a^2 > a^4 > a^3 >a
a^2 > a^4 > a > a^3
Answer: C
Question: Choose the missing terms out of the given alternatives.
BY, CX, DW, EV, FU, ?
Choices:
GH
GT
DW
KN
Answer: B
Question: If 63 percent of a class answered the first question on a certain test correctly, 50 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choices:
27%
30%
33%
36%
Answer: C
Question: A bicycle wheel has a diameter of 0.66m. How many complete revolutions does it make in 1km?
Choices:
448
1408
482
223
Answer: C
Question: If the length of an edge of cube M is thrice the length of an edge of cube N, what is the ratio of the volume of cube N to the volume of cube M?
Choices:
1/27
1/5
1/9
1/8
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12700 after a year?
Choices:
9232
8828
2387
3810
Answer: D
Question: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is
Choices:
40
55
73
52
Answer: A
Question: A Jar contains a mixture of AB in the ratio 3:2. When 20 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
Choices:
15
16
20
36
Answer: D
Question: N is a positive integer. When N + 1 is divided by 9, the remainder is 1. What is the remainder when N is divided by 9?
Choices:
0
4
3
2
Answer: A
Question: An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 65 percent of the votes cast?
Choices:
58%
42%
27.08%
25%
Answer: C
Question: A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?
Choices:
9.8
10.4
11.2
12.6
Answer: B
Question: A sealed envelope contains a card with a single digit written on it. Three of the following statements are true and one is false.
I. The digit is 1.
II. The digit is not 2.
III. The digit is not 9.
IV. The digit is 8.
Which one of the following must necessarily be correct?
Choices:
III
IV
II
NONE
Answer: A
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
28.5
30
Data inadequate
None of these
Answer: B
Question: In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 40% of all the employees are men .What % of all the employee went to the picnic?
Choices:
32%
35%
36%
37%
Answer: A
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 1/3 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Choices:
13 1â„2
17
Data inadequate
None of these
Answer: B
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
10
99
28
73
Answer: A
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
Choices:
2/11
3/10
4/13
5/17
Answer: B
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Choices:
12
16
18
21
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/1
3/8
3/9
Answer: A
Question: A bookseller has two display windows. She plans to display 2 new fiction books in the left window, and 5 new non-fiction books in the right window. Assuming she can put the five fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
240
144
336
420
Answer: A
Question: 12,33,66,88,110,121 which number is wrong in series
Choices:
12
66
88
110
Answer: A
Question: In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
Choices:
2/2
2/5
2/6
2/4
Answer: B
Question: At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choices:
80%
20%
17%
12%
Answer: C