antoine-444/aqua_rat_dataset huggingface dataset:
Question: x, y, and z are all unique numbers. If x is chosen randomly from the set {8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
Choices:
1/16
13/20
3/10
1/10
Answer: A
Question: In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
Choices:
8 hrs
2 hrs
6 hrs
9 hrs
Answer: B
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 120, find the other?
Choices:
60
120
200
150
Answer: A
Question: Two brother X and Y appeared for an exam. The probability of selection of X is 1/3 and that of B is 2/5. Find the probability that both of them are selected.
Choices:
2/15
2/63
2/29
2/10
Answer: A
Question: Nandesh sold half of his cloth at 10% profit, half of the remaining at 10% loss and the rest was sold at the cost price. In the transaction, his gain or loss will be :
Choices:
2.5% gain
2.5% loss
5% loss
None of these
Answer: A
Question: A person buys an article at Rs.575. At what price should he sell the article so as to make a profit of 15%?
Choices:
277
269
661.25
281
Answer: C
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.75 less, he could have gained 25%. What is the cost price?
Choices:
375
268
269
297
Answer: A
Question: How many halves are there in seven-fourth?
Choices:
12
3.5
7
3.2
Answer: B
Question: (1^2+2^2+3^2+.....+8^2)=?
Choices:
345
204
385
None of them
Answer: B
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
Choices:
Rs.3600
Rs.3639
Rs.3632
Rs.3602
Answer: A
Question: If w and t are integers and w^2 – t^2 is an odd integer, which of the following must be an even integer?
I. w + t + 2
II. w^2 + 2wt + t^2
III. w^2 + t^2
Choices:
None
II only
III only
I, II, and III
Answer: A
Question: There are w members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of w?
Choices:
12
15
18
22
Answer: A
Question: In a class ratio of boys and girls is 16:25. If number of total student is 82. Find the number of girls?
Choices:
40
50
38
45
Answer: B
Question: A can do a piece of work in 10 days and B alone can do it in 20 days. How much time will both take to finish the work ?
Choices:
B)6
C)6.666
D)8.333
E)9
Answer: B
Question: Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 35 percent ryegrass, what percent of the weight of this mixture is X ?
Choices:
33.33 %
40%
50%
66.66 %
Answer: D
Question: The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 20, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)
Choices:
47
58
65
91
Answer: D
Question: ----------------YES---------NO----UNSURE
Subject M----500--------200-----100
Subject R----400--------100-----300
A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 180 students answered yes only for subject M, how many of the students did not answer yes for either subject?
Choices:
220
300
400
500
Answer: A
Question: when i was married 10 years ago,my wife was the 6th member in the family.today,my father died,and a baby was born to me.the average age in my family today is what it was when i was married.how old was my father when he died?
Choices:
60yrs
70yrs
80yrs
indeterminate
Answer: A
Question: A can do a piece of work in 7 days and B can do it in 6 days how long will they both work together to complete the work?
Choices:
8/13
3/13
9/11
10/13
Answer: B
Question: At a certain university, 65% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
Choices:
37.5
50
62.5
75
Answer: C
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:2
6:5
6:4
6:2
Answer: B
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.145. How much was lent at 5%?
Choices:
2777
2688
500
2871
Answer: C
Question: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ?
Choices:
6000
3800
4700
2500
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of g is less than the square root of g. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 13 family members in a row for the picture?
Choices:
12×11!
11×12!
13!/2!
13!
Answer: B
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 A of team B?
Choices:
1)8
3)20
4)40
5)80
Answer: A
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = b = 3c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Choices:
213
331
511
745
Answer: B
Question: . A car covers a distance of 810 km in 5 hours. Find its speed?
Choices:
55
162
174
2761
Answer: B
Question: Set E consists of all the prime numbers between 10 and 25. What is the range of set E?
Choices:
12
16.6
17
23
Answer: A
Question: If 7<x<9<y<15, then what is the greatest possible positive integer difference of x and y?
Choices:
7
5
6
3
Answer: A
Question: The average age of 32 students in a group is 10 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
Choices:
43
51
53
57
Answer: A
Question: Three candidates contested in an election and received 2136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
49%
57%
54%
62%
Answer: C
Question: If xy+4z = x(y+z), which of the following must be true?
Choices:
2. x=1 and y=1
3. y=1 and z=0
4. x=1 or y=0
5. x=4 or z=0
Answer: D
Question: If 5x = 6y and xy ≠ 0, what is the ratio of 1/3*x to 1/5*y ?
Choices:
36/25
2
5/6
25/36
Answer: B
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
8 min
9 min
10 min
11 min
Answer: C
Question: In an examination the number of successful students was 4 times the numbr of unsuccessful students If there were 35 less students nd the numbr of unsuccessful students were 9 more,then the ratio of their numbr would have been 2:1 . Find the total numbr of students
Choices:
155
135
125
112
Answer: A
Question: A box contains 20 green balls, 15 red balls and 25 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
Choices:
5/11
3/8
1/13
7/12
Answer: D
Question: 5 OUT OF 1000 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Choices:
2/9
1/2
2/45
NONE OF THESE
Answer: B
Question: For any number d, d* is defined as the greatest positive even integer less than or equal to d. What is the value of 5.2 – 5.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: A
Question: On a clock, how many times a day do the minute and hour hand overlap?
Choices:
11
20
22
24
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40
38
21
11
Answer: A
Question: If the cost of A metres of wire is C rupees, then what is the cost of E metres of wire at the same rate?
Choices:
Rs. (EC/A)
Rs. (C/A)
Rs. (E/A)
Rs. (AC/E)
Answer: A
Question: Which one of the following is not a prime number?
Choices:
61
71
91
None of these
Answer: C
Question: Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 121, then which of the following can be a value of 2y + 3g?
Choices:
81
141
142
160
Answer: A
Question: If Jan 1, 2006 was a Monday, What was the day of the week Jan 1, 2010?
Choices:
Thursday
Tuesday
Saturday
None of these
Answer: C
Question: The present ratio of students to teachers at a certain school is 50 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Choices:
3
10
12
15
Answer: A
Question: A man can hit the target once in two. If he fires four shots in succession, what is the probability that he will hit the target?
Choices:
1/16
81/16
15/16
185/256
Answer: C
Question: A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, two-third were left handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of lefthanded players who were not at practice?
Choices:
2/3
5/7
7/5
3/2
Answer: C
Question: If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, then what is the probability that xy will be even?
Choices:
2/6
2/3
1/2
1/4
Answer: B
Question: If 5% more is gained by selling an book for $ 350 than by selling it for $ 340, the cost of the book is:
Choices:
400
200
300
100
Answer: B
Question: One of the number is odd, Which one ?
Choices:
3954
9862
9862
9862
Answer: D
Question: If 0 < x ≤ 4, then which one of the following is the maximum value of (x – 1)^2 + x ?
Choices:
13
0
1
2
Answer: A
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
2428
2421
2408
Answer: A
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
3998
3128
3900
3920
Answer: C
Question: If 1/a^3 + a^3 represents the diameter of circle O and 1/a + a = 3, which of the following best approximates the circumference of circle O?
Choices:
22
20
16
12
Answer: B
Question: The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height
Choices:
7:3
7:7
7:6
7:1
Answer: A
Question: In how many ways can 5 GIRLS and 3 BOYS be seated on 8 chairs so that no two BOYS are together?
Choices:
B)14400
C)480
D)56
E)40320
Answer: A
Question: S is a set of 45 consecutive multiples of 5. If the smallest number in S is 55, then the greatest number in S is
Choices:
275
299
402
205
Answer: A
Question: A salesman commission is 10% on all sales upto $5000 and 5% on all sales exceeding this. He remits $15000 to his parent company after deducting his commission. Find the total sales?
Choices:
14758
15789
13250
12450
Answer: B
Question: The product of all the prime numbers less than 24 is closest to which of the following powers of 10?
Choices:
10^8
10^7
10^6
10^5
Answer: A
Question: If the cost price of 12 pens is equal to the selling price of 11 pens, the gain percent is:
Choices:
90%
9%
40%
10%
Answer: B
Question: One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. How many chocolates can both boys eat in 15 seconds?
Choices:
63.5 chocolates
62.5 chocolates
64.5 chocolates
65.5 chocolates
Answer: B
Question: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
Choices:
12 kmph
19 kmph
15 kmph
11 kmph
Answer: A
Question: If 28^2*17^3*12^2 = x, what is the units digit of x ?
Choices:
8
6
7
9
Answer: A
Question: Given three boxes I, II and III, each containing two coins. In box I, both coins are 1 rupee
coins, in box II, both are 2 rupee coins and in the box III, there is one 1 rupee and one 2 rupee coin.
A person chooses a box at random and takes out a coin. If the coin is of 1 rupee, what is the
probability that the other coin in the box is also of 1 rupee?
Choices:
2/3
2/7
3/7
2/5
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 20% of that number?
Choices:
170
95
100
120
Answer: A
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
2:3:4
2:3:0
2:3:1
2:3:9
Answer: A
Question: 36 men can complete a piece of work in 18 days. in how many days will 27 men complete the same work ?
Choices:
18
22
24
26
Answer: C
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 5 minutes?
Choices:
54
108
270
324
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 19 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444
676
420
663
Answer: C
Question: A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 32 cubic feet, to what fraction of its capacity is the tank filled with water?
Choices:
1/2
2/3
1/4
3/4
Answer: A
Question: A rower can row 7 km/h in still water. When the river is running at 2 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?
Choices:
3.04
3.12
3.21
3.35
Answer: C
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:
85
48
12
25
Answer: C
Question: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
Choices:
25 1/13 %
23 1/13 %
22 1/13 %
22 2/13 %
Answer: B
Question: Two vehicles each 900 m long are running in opposite directions on parallel paths. Their speeds are 50 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
66 sec
48 sec
81 sec
45 sec
Answer: C
Question: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
Choices:
4(1.5)
(1.05)^5
1 + (0.05)^4
1 + 4(0.05)
Answer: B
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 3 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
2889
2870
4320
Answer: D
Question: Of 600 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
Choices:
25
30
35
75
Answer: D
Question: If a fisherman rows upstream at 7kmph, and downstream at 10kmph, what is the speed of the stream?
Choices:
1.5 kmph
2.5 kmph
1.9 kmph
3.5 kmph
Answer: A
Question: The youngest of 4 children has siblings who are 4, 5, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 21, what is the age of the youngest sibling?
Choices:
15
16
17
18
Answer: C
Question: The edge of a cube is 4a cm. Find its surface?
Choices:
24a4
96a2
24a2
24a7
Answer: B
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
14 days
13 days
11 days
12 days
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
2778
2682
1021
Answer: A
Question: The ratio of pens to pencils is 5 to 6. There are 4 more pencils than pens. How many pencils are there?
Choices:
16
20
24
28
Answer: C
Question: Two dice are tossed. The probability that the total score is a prime number is
Choices:
4/9
5/12
4/7
3/5
Answer: B
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.18300. A's share is?
Choices:
2765
6000
1298
6100
Answer: D
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of the interest. If she paid Rs. 432 as interest at the end of the period,what was the rate of interest ?
Choices:
6
18
Cannot be determined
None
Answer: A
Question: A and B together have Sterling 1240. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Sterling 496
Sterling 550
Sterling 664
None
Answer: A
Question: If the sides of a triangle are 39 cm, 36 cm and 15 cm, what is its area?
Choices:
765 cm2
216 cm2
270 cm2
275 cm2
Answer: C
Question: What is the average of xx, 2x2x, and 66?
Choices:
x+2x
x+2x+2
x+2
x
Answer: B
Question: A 6% stock yields 8% . The market value of the stock is?
Choices:
Rs.75
Rs.17
Rs.16
Rs.22
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/7
20/9
20/5
20/1
Answer: A
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Choices:
3:4
1:4
5:4
2:4
Answer: A
Question: The bus that travels from St. Louis to Chicago and back comes to St. Louis every 5 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 2 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
Choices:
18:00
20:00
22:00.
24:00.
Answer: C
Question: If (4x + 3)(x - 2) = 4x^2 + x, what is a possible value of x?
Choices:
-6
-1
1
6
Answer: B
Question: If 2 dice are rolled, what is the probability of the total score being a even number?
Choices:
1/3
5/12
1/2
7/12
Answer: C
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
Choices:
800
266
288
1221
Answer: A
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
57%
73%
90%
58%
Answer: A
Question: An empty pool being filled with water at a constant rate takes 7 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
Choices:
5 hr 20 min
4 hr 40 min
3 hr 12 min
2 hr 40 min
Answer: B
Question: In a village of 100 households, 75 have at least one DVD player, 85 have at least one cell phone, and 70 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
40
35
25
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 28 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40
33
21
11
Answer: B
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Choices:
28800
24400
20000
None
Answer: A
Question: A electronics shop has a sale of Rs. 16000, Rs. 25000, Rs. 65000 for 3 consecutive months. How much sale must he have in the fourth month so that he gets an average sale of Rs. 40000?
Choices:
s. 165000
s. 114000
s. 250000
s. 116000
Answer: B
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
28 km/hr
48 km/hr
19 km/hr
10 km/hr
Answer: B
Question: A 9-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
2/7
2/9
3/10
4/11
Answer: B
Question: A 1500 m long train crosses a tree in 120 sec, how much time will it take to pass a platform 500m long?
Choices:
160
188
188
12
Answer: A
Question: How many seconds will a 600 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
36
26
11
18
Answer: A
Question: A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Choices:
Rs. 2010
Rs. 2100
Rs. 2200
Rs. 2300
Answer: B
Question: 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.110000, find the cost of a camel?
Choices:
s.3800
s.9800
s.4400
s.6880
Answer: C
Question: The product of all the prime numbers less than 10 is closest to which of the following powers of 10?
Choices:
10^2
10^7
10^6
10^5
Answer: A
Question: What is the units digit of 2222^(333)*3333^(222)?
Choices:
2
4
6
8
Answer: D
Question: The difference between the costs of two brands is 20 Rs. Ten years ago, the costlier one was thrice as costly as the cheaper one. The present price of the costlier brand is
Choices:
30
10
40
50
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 90 grams of water?
Choices:
90
112
128
142
Answer: A
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
20
28
24
21
Answer: C
Question: How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Choices:
59
56
23
11! / (3!*2!*2!*2!)
Answer: A
Question: Sachin's age after 15 years will be 5 times his age 5 years back. Find out the present age of Sachin?
Choices:
10
8
9
12
Answer: A
Question: Find the quotient: 0.0204 / 17
Choices:
0.12
0.0012
0.00012
None of them
Answer: B
Question: A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
.
Choices:
1/4
7/24
5/16
15/32
Answer: A
Question: If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (4 Ø 2) Ø 3 = ?
Choices:
2
8
16
32
Answer: A
Question: A person saved $10 in buying an item on sale. If he spent $600 for the item, approximately how much percent he saved in the transaction?
Choices:
1.6%
2%
5%
6%
Answer: A
Question: A right angled cone has its height 'h'. The cone is being cut parallel to its base at h/5 distance from its vertex. What will be the ratio of the cone and the cutting portion
Choices:
1:124
1:25
1:26
1:24
Answer: A
Question: 6 x 0.6 x 0.06 x 0.006 x 60 = ?
Choices:
7.776
0.7776
0.07776
None otf these
Answer: C
Question: A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Sale price of the article
II. Number of articles sold
Choices:
Only II is necessary
Either I or II is necessary
Both I and II are necessary
None of these
Answer: C
Question: If the average (arithmetic mean) of a and b is 110, and the average of b and c is 160, what is the value of a − c?
Choices:
−100
100
135
It cannot be determined from the information given
Answer: A
Question: If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey?
Choices:
58km/hr
68km/hr
48km/hr
47km/hr
Answer: C
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choices:
6
9
5
4
Answer: C
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 315 what is the least possible value of k?
Choices:
7
9
11
13
Answer: A
Question: A sum of Rs. 12500 amounts to Rs. 15000 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
5%
6%
8%
14%
Answer: A
Question: In how many ways can 9 people, A, B, C, D, E, F, G, H, I be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
Choices:
39600
576822
362784
69600
Answer: C
Question: A 270 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:
230
250
260
270
Answer: A
Question: A pharmaceutical company received $3 million in royalties on the first $25 million in sales of and then $9 million in royalties on the next $130 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $25 million in sales to the next $130 million in sales?
Choices:
15%
35%
42%
56%
Answer: C
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 300 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Choices:
2160.
5780
5760
6380.
Answer: A
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 his son is
Choices:
21 years
22 years
24 years
None of these
Answer: B
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
350
365
420
480
Answer: D
Question: A CAN FINISH A WORK IN 12 DAYS AND B CAN DO THE SAME WORK IN15 DAYS. B WORKED FOR 10 DAYS AND LEFT THE JOB. IN HOW MANY DAYS, A ALONE CAN FINISH THE REMAINING WORK?
Choices:
4
6
8
NONE OF THESE
Answer: A
Question: On a sum of money, simple interest for 2 years is Rs 660 and compound interest is Rs 696.30, the rate of interest being the same in both cases.
Choices:
9%
10%
11%
12%
Answer: C
Question: In a group of 800 people, 1/5 play at least one instrument, 64 play two or more. What is the probability that one student play exactly one instrument?
Choices:
3/25
C)2/25
3/25
1/5
Answer: A
Question: Dhoni can read m pages in 2 minutes. At this rate, how long will it take him to read n pages?
Choices:
(2/m)*n
(4m)*n
(6/m)*n
(8/m)*n
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
600 m
200 m
300 m
350 m
Answer: B
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=32/51 ?
Choices:
3
2
1
0
Answer: B
Question: How many positive integers W between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Choices:
16
75
24
26
Answer: D
Question: If x is negative, which of the following must be positive ?
I. x^2
II. (-1) x
III. 1/x
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 47 was wrongly taken as 23. The corrected new mean is
Choices:
36.16
36.22
36.48
None
Answer: C
Question: The ratio of red boxes to blue boxes in a certain warehouse is 10 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
Choices:
74
70
148
244
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
726 m
688 m
150 m
176 m
Answer: C
Question: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
400
500
520
589
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 100 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Choices:
500/3
300
480
600
Answer: B
Question: There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(34)-A(33)?
Choices:
2^23
2^23+1
2^33
2^23+1
Answer: C
Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 4 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Choices:
72
84
90
216
Answer: D
Question: If x < 12, then it must be true that...
Choices:
-x - 2 < 14
-x + 2 < -10
x + 2 < 10
x - 6 < 17
Answer: D
Question: Find the slope of the line perpendicular to the line y = (1/3)x - 7
Choices:
-4
-3
0
-5
Answer: B
Question: A train passes a man standing on the platform. If the train is 240 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
14 sec
9 ½ sec
8 ½ sec
12 sec
Answer: D
Question: A’s speed is 21/19 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
2/21
1/11
1/7
1/5
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm?
Choices:
210 cm2
168 cm2
198 cm2
987 cm2
Answer: A
Question: In how many different ways can the letters of the word 'PROFILE' be arranged in such a way that the vowels occupy only the odd positions ?
Choices:
550
670
625
576
Answer: D
Question: The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
19/35
19/36
18/33
18/32
Answer: A
Question: Ragav took a bus from home to market, that travels at 40 kmph. While walking back at 4 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 30 kmph. Find the average speed.
Choices:
12.0 kmph
28.5 kmph
18.5 kmph
none of these
Answer: A
Question: The cricket team of 11members is 27yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
22
23
25
24
Answer: D
Question: The largest 4 digit number exactly divisible by 88 is:
Choices:
9944
9966
6677
9958
Answer: A
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Choices:
3 : 2
6 : 5
7 : 6
None of these
Answer: C
Question: |x+3| – |2-x| = |8+x| How many solutions will this equation have?
Choices:
1
2
3
4
Answer: B
Question: Which natural number is nearest to 8485, which is completely divisible by 75 ?
Choices:
8475
2540
3520
6540
Answer: A
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Choices:
32m
24m
28m
None of these
Answer: A
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choices:
14000
19000
20000
25000
Answer: A
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 3. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
2
6
7
8
Answer: A
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 1 m x 2 m x 20 cm?
Choices:
6000
237
7200
8600
Answer: B
Question: A garrison of 2000 men has provisions for 65 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
1893
1979
3000
1278
Answer: C
Question: If -3x+5y=48 and 3x-2y=6, what is the product of x and y?
Choices:
252
464.
200
642
Answer: A
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
8 1/2 sec
8 5/2 sec
4 1/2 sec
5 1/2 sec
Answer: A
Question: There are 10 women and 3 men in Room A. One person is picked at random from Room A and moved to room B, where there are already 3 women and 5 men. If a single person is then to be picked from room B, what is the probability that a woman will be picked?
Choices:
49/117
40/117
15/52
5/18
Answer: A
Question: If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Choices:
130
150
170
190
Answer: D
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
99
77
12
Answer: A
Question: In a friendship gang Angel has 3 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
5
12
9
7
Answer: D
Question: Solution X is 10% chemical A and 90% chemical B by volume. Solution Y is 20% chemical A and 80% chemical B by volume. If a mixture of X and Y is 12% chemical A, what percent of the mixture is Solution X?
Choices:
80%
70%
65%
60%
Answer: A
Question: If xy is an integer, which of the following must also be an integer?
I. x/y
II. y/x
III. y
Choices:
II alone
III alone
None of the above
I and II
Answer: C
Question: What will come in place of question mark in the following equation ?
54.(?)3 + 543 + 5.43 = 603.26
Choices:
1
9
8
7
Answer: C
Question: sonam has 19 penciles,sania has 29 penciles. Totally how many penciles they have in all?
Choices:
48
30
60
20
Answer: A
Question: Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
Choices:
90
71
28
75
Answer: D
Question: The area of a square is equal to three times the area of a rectangle of dimensions 3 cm * 9 cm. What is the perimeter of the square?
Choices:
36
46
66
76
Answer: A
Question: In one NIckel cromium alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Choices:
8.4%
8.6%
9.2%
8.8%
Answer: C
Question: (128 ÷ 6.969) - 13% of 1284 = ?
Choices:
17
46
54
72
Answer: A
Question: A contractor undertook to do a piece of work in 15 days. He employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 20 days. Find the number of men originally employed ?
Choices:
20
19
23
18
Answer: A
Question: A bag contains 6 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
2/5
3/5
11/15
43/91
Answer: D
Question: Pat's watch gains an extra 6 seconds every 4 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 84 hours, what will be the difference in time between Pat's watch and Kim's watch?
Choices:
7 min 26 sec
6 min 26 sec
5 min 26 sec
4 min 26 sec
Answer: D
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Choices:
720
745
750
760
Answer: A
Question: Susan, John, Daisy, Tim, Matt,Lily and Kim need to be seated in 7 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Choices:
A)2520
C)80
D)240
E)60
Answer: A
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22, 27 (....)
Choices:
23
22
24
26
Answer: A
Question: A furniture dealer purchased a desk for $100 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Choices:
40%
50%
55%
60%
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.7
5.76
5.71
5.7
Answer: B
Question: In a fuel station the service costs $2.30 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 4 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
Choices:
$396
$404
$408
$412
Answer: A
Question: How many pieces of 0.63 meteres can be cut from a rod 32.5 meteres long
Choices:
40
51
60
70
Answer: B
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4
5
2
1
Answer: A
Question: Meera purchased two three items from a shop. Shop keeper says for one wallet : Rs.250/- and Shoe : 1250/- Meera give Rs. 2000/- to shop keeper. He paid balance Rs. 750/- to meera. How much she got?
Choices:
250
600
350
400
Answer: A
Question: If the average of 5 positive integers is 60 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
49
68
74
Answer: C
Question: Ages of two brothers differ by 14 years. If 12 years ago, the elder one was 3 times as old the younger one, find their present age
Choices:
14,28
16,30
19,33
21,35
Answer: C
Question: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?
Choices:
4x
7x
12x
27x
Answer: B
Question: The average age of applicants for a new job is 31, with a standard deviation of 6. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants?
Choices:
13
15
18
30
Answer: A
Question: When positive integer n is divided by 2, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 10?
Choices:
2
5
19
20
Answer: B
Question: Find the common factors of 15 and 18.
Choices:
55
60
70
90
Answer: D
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 14 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Choices:
40.4
40.6
40.8
None of the above
Answer: B
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 1 or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
Choices:
1/16
1/32
1/64
1/128
Answer: B
Question: In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 95%, what was the average score for the entire class?
Choices:
70%
72%
74%
77%
Answer: C
Question: (x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?
Choices:
7
6
1
9
Answer: B
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25
56.21
56.28
56.22
Answer: A
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is Q?
Choices:
50+3Q/100
50+Q/40
100+Q/50
100+3Q/100
Answer: B
Question: Running 3/4th of his usual rate, a man is 14min late. Find his usual time in hours ?
Choices:
3/4 hrs
9/4 hrs
3/4 hrs
7/10 hrs
Answer: D
Question: If the average (arithmetic mean) of the four numbers 3, 25, 52, and (N + 1) is 50, then N =
Choices:
119
121
122
129
Answer: A
Question: If log 27 = 1.431, then the value of log 9 is
Choices:
0.854
0.654
0.554
0.954
Answer: D
Question: Set S = {1, 2, 3, 4, 5, 6, 7, x}
If x is an integer, which of the following could be the median of Set S?
Choices:
4.25
4.5
5
5.25
Answer: B
Question: What is the sum of the different positive prime factors of 450?
Choices:
10
15
16
18
Answer: A
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
Choices:
5
3
6
7
Answer: B
Question: The average age of students in section A of 122 students is 28 years and the average age of students in section B of 180 students is 35 years. Find the average age of students in both sections taken together?
Choices:
30years
15years
25years
32years
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 750 grams per kg, what is his percent?
Choices:
33%
29%
55%
45%
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 45%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
110.25%
84.5%
24.75%
45%
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 2 : 3 If a man cycling along the boundary of the park at the speed of 10 km/hr completes one round in 18 min, then the area of the park (in sq. m) is?
Choices:
9000 m
540000 m
10000 m
54000 m
Answer: B
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Choices:
10
88
66
12
Answer: A
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:50. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
Choices:
81
82
83
84
Answer: C
Question: If point A coordinates are (-7, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Choices:
(-2, - 2/3)
(2/3, -2)
(0, 2)
(2, 2/3)
Answer: A
Question: If a, b, and c are consecutive odd positive integers and a<b<c, which of the following must be true?
I. at least one of the three numbers is prime
II. ab>c
III. a + b + c = 3b
Choices:
III only
I and III only
II and III only
I, II, and III
Answer: A
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 5% per first year and 6% for the second year?
Choices:
2678
5565
1976
1671
Answer: B
Question: There are two numbers. If 50% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
B)5/8
C)6
D)1/2
E)7
Answer: C
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 12 km in stationary water
Choices:
3hr
1hr 15 min
1hr 30 min
4 hr
Answer: A
Question: A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/4. What is the sum of the numerator and denominator of the original fraction?
Choices:
35
56
26
21
Answer: B
Question: A certain number when divided by 95 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
5
6
8
9
Answer: C
Question: There are 200 questions on a 3 hrexamination.Among these questions are 50 mathematics problems.It is suggestedthat twice as much time be spent on each maths problem as for each otherquestion.How many minutes should be spent on mathematics problems
Choices:
72min
73min
74min
75min
Answer: A
Question: The workforce of Company X is 50% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?
Choices:
220
230
235
240
Answer: A
Question: If $20,000 interest is invested in x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
20,000n(x/100)
20,000(x/100)^n
10,000(1 + x/100)^n
10,000n(1 + x/100)
Answer: A
Question: The letters O,L and T are rearranged to form the word 'Lot'. Find its probability.
Choices:
1/12
1/4
1/8
1/6
Answer: D
Question: The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Choices:
98
99
36
12
Answer: C
Question: Average of 6 numbers is zero. At most how many numbers may be greater than zero
Choices:
1
5
9
10
Answer: B
Question: 20-3*4^2+53 = ?
Choices:
25
-73
13
None
Answer: A
Question: I flew my tiny seaplane to visit my mother. On the flight up, I flew at 130 mph. On the way home, I flew 88 mph. What was my average speed for the trip?
Choices:
110 mph
88 mph
100 mph
109 mph
Answer: D
Question: In 10 years,A will be six times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
Choices:
15.8 Years
39 Years
49 Years
59 Years
Answer: A
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is?
Choices:
4329
4320
4372
9032
Answer: B
Question: Insert the missing number
2, 4, ..., 16, 32, 64, 128, 256
Choices:
5
4
3
8
Answer: D
Question: Two numbers N and 16 have LCM = 48 and GCF = 18. Find N.
Choices:
34
44
54
64
Answer: C
Question: Solve the following quadratic equation by factoring.
x^2+15x=-50
Choices:
(2,4)
(-5,-10)
(9,0)
(4,5)
Answer: B
Question: A car was driving at 72 Km/h for 20 minutes, and then at 81 Km/h for another 40 minutes. What was its average speed?
Choices:
76.
78.
79.
80.
Answer: A
Question: I am three times as old as my son. Five year later, I shall be two and half times as old as my son. How old am I and how old is my son ?
Choices:
45 year and 15 year
42 year and 12 year
41 year and 11 year
None of these
Answer: A