antoine-444/aqua_rat_dataset huggingface dataset:
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choices:
10
51
15
20
Answer: D
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.714 find the share of A.
Choices:
272
379
277
122
Answer: A
Question: The average mark of a class of twenty five students is 66. If five students whose marks are 32,28, 30, 26 and 34 are removed , then find the average mark of the remaining students of the class.
Choices:
75
57
70
80
Answer: A
Question: If 40% of a number is 28, then the number is
Choices:
number is 70
number is 90
number is 80
None of these
Answer: A
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Choices:
20.98
90.97
20.95
20.91
Answer: A
Question: In the city of San Durango, 90 people own cats, dogs, or rabbits. If 30 people owned cats, 30 owned dogs, 50 owned rabbits, and 14 owned exactly two of the three types of pet, how many people owned all three?
Choices:
2
3
4
5
Answer: B
Question: If the speed of X inch per second is equivalent to the speed of Y foot per hour, what is Y in terms of X? (1 foot =12 inch)
Choices:
240X
360X
300X
100x
Answer: C
Question: The two lines y=x and x=-7 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
Choices:
21.5
24.5
27.5
30.5
Answer: B
Question: Which of the following is between 53/70 and 5/6?
Choices:
3/8
1/2
5/8
7/9
Answer: D
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?
Choices:
2
3
4
8
Answer: D
Question: What will come in place of the question mark (?) in the following question?
112.36 + 225.05 + ? = 815.30
Choices:
477.89
524.41
564.40
None of these
Answer: A
Question: An amount of Rs. 65000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
s. 40625; Rs. 24375
s. 72500; Rs. 27500
s. 82500; Rs. 17500
s. 72500; Rs. 17500
Answer: A
Question: Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ?
Choices:
after 115 hours
after 115 minutes
after 20 minutes
after 30 minutes
Answer: A
Question: How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
5 years
7 years
12 years
15 years
Answer: A
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
37 Years
49 Years
51 Years
57 Years
Answer: B
Question: In a family 7 children dont eat spinach, 6 dont eat carrot, 5 dont eat beans, 4 dont eat spinach & carrots, 3 dont eat carrot & beans, 2 dont eat beans & spinach. One doesnt eat all 3. Find the no. of children.
Choices:
10
11
12
13
Answer: A
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Choices:
675
330
987
854
Answer: A
Question: A boy has six trousers and 13 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
87 ways
66 ways
78 ways
121 ways
Answer: C
Question: A man has Rs. 480 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
None
Answer: C
Question: From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning?
Choices:
40
50
30
20
Answer: A
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
73 degrees
37 degrees
34 degrees
74 degrees
Answer: C
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
42 cm2
29 cm2
25 cm2
40 cm2
Answer: D
Question: If two positive numbers are in the ratio 1/10 : 1/7, then by what percent is the second number more than the first?
Choices:
42.8%.
60%.
68%.
80%.
Answer: A
Question: How many integers between 100 and 180, inclusive, cannot be evenly divided by 3 nor 5?
Choices:
41
43
45
47
Answer: B
Question: Two digits number is divided by the product of their digit and the result is 3.now 18 is added to the number the digit will be inter changed. what is the number.
Choices:
18
20
22
24
Answer: D
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choices:
5/12
1/36
7/12
4/9
Answer: A
Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
10
28
27
12
Answer: C
Question: Two employees X and Y are paid a total of Rs. 800 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.250.63
s.290.63
s.300.63
s.363.63
Answer: D
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
267
350
788
277
Answer: B
Question: How many ltrs of water must beadded to 16ltrs of milk and water containing 10% water to make it 20% water in it?
Choices:
2 liter
3 liter
5 liter
7 liter
Answer: A
Question: If log12 27 = a, then log6 16 is:
Choices:
(3+a)/4(3-a)
4(3+a)/(3-a)
4(3-a)/(3+a)
5(3-a)/(3+a)
Answer: C
Question: The average age of a class of 12 students is 19 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Choices:
34 years
42 years
43 years
44 years
Answer: A
Question: A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1250m/min
2560m/min
1670m/min
1890m/min
Answer: A
Question: For how many prime pairs (p, q) does there exist an integer n such that
(p2 + 1)*(q2 + 1) = n2 + 1 ?
Choices:
2
6
8
infinitely many
Answer: A
Question: Each shelf of a bookcase contained 11 books. If the librarian took out 30 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 5 books, how many shelves does the bookcase have?
Choices:
6
7
8
9
Answer: B
Question: If k and y are integers, then ky(k + y) is
Choices:
Always negative
Positive when k is positive
Negative when k is negative
It cannot be determined by the information given
Answer: D
Question: There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
Choices:
21
33
60
40
Answer: A
Question: If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive integers, what is the value of a?
Choices:
11
9
6
3
Answer: D
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
180
200
280
300
Answer: C
Question: If 40% of a number is equal to 2/3 of another number, what is the ratio of first number to the second number?
Choices:
5/3
3/7
5/7
7/9
Answer: A
Question: If n is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
.
Choices:
n + 1
n^2 + 1
n + 2√n + 1
n^2 + 2n + 1
Answer: C
Question: A bag contains 5 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/21
5/26
3/29
4/27
Answer: A
Question: For a certain set of numbers, if x is in the set, then x - 2 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?
a) -4
b) -1
c) -5
Choices:
b only,
c only,
a and b only
b and c only
Answer: C
Question: Excluding stoppages, the speed of a bus is 64 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour?
Choices:
12.3
10.5
10.12
13.12
Answer: D
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Choices:
10 cm
17 cm
88 cm
87 cm
Answer: A
Question: If the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 2d =
Choices:
540
619
649
700
Answer: A
Question: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 21 liters of drink A to convert it to drink B?
Choices:
4
5
6
7
Answer: D
Question: A is half good a work man as B and together they finish a job in 10 days. In how many days working alone B finish the job?
Choices:
21 days
17 days
18 days
15 days
Answer: D
Question: If a town of 35,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
Choices:
a.36000
c.38000
d.39000
e.40000
Answer: A
Question: We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 120 inches and the width is 108 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
Choices:
a 125
c 70
d 40
e 10
Answer: A
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit Q on this shipment?
Choices:
b) $115
c) $125
d) $130
e) $135
Answer: B
Question: Two unbiased coins are tossed. What is the probability of getting two heads?
Choices:
1/4
2/3
1/5
2/7
Answer: A
Question: If r is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of r ?
Choices:
12
14
16
18
Answer: B
Question: What is the total cost of 2 sandwiches at $2.45 each and 4 sodas at $0.87 each?
Choices:
$8.38
$8.46
$10.08
$11.85
Answer: A
Question: A,B,C can complete a piece of work in 3,9and 15 days respectively. Working together, they will complete the same work in how many days?
Choices:
45/23
61/57
12/13
22/23
Answer: A
Question: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Choices:
Rs.7500
Rs.7227
Rs.7528
Rs.1281
Answer: A
Question: What is the remainder when the number T=14^2 * 15^8 is divided by 5?
Choices:
0
2
4
5
Answer: A
Question: How many 2 digit number contain number 3 ?
Choices:
18
38
68
58
Answer: A
Question: Half a number plus 6 is 11.What is the number?
Choices:
9
10
11
12
Answer: B
Question: If 50 percent of the members of a certain organization are women and 5/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization.
Choices:
II
III
I,II & III
I,II
Answer: D
Question: If A and B are Two +ve integers and A ≠0 and B ≠0 which can be the following CAN equal to Zero?
Choices:
A-B
A/B
A*B
A^2+B
Answer: A
Question: What is the present worth of Rs. 264 due in 2 years at 5% simple interest per annum?
Choices:
277
120
240
171
Answer: C
Question: Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and fiveteen copper coins, how many different sums from 1¢ to 160¢ can he make with a combination of his coins?
Choices:
85
81
160
157
Answer: B
Question: A ladder 30 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 10 feet from the base of the wall. If the top of the ladder slips down 5 feet, how many feet will the bottom of the ladder slip?
Choices:
15
18.92
19
25
Answer: B
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:1
5:2
5:8
5:2
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
5
1
4
Answer: A
Question: In the seaside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
50.
40.
30.
25.
Answer: A
Question: If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?
Choices:
60
26
17
81
Answer: A
Question: The remainder when 1!+2!+3!...+50! divided by 8! will be
Choices:
5193
77
9275
19
Answer: A
Question: In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?
Choices:
$50
$320
$400
$500
Answer: C
Question: For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers are there between #6 +2 and #6 +6 , inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: A circular rim 35 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
50x
48x
24x
x/75
Answer: A
Question: If the integer p is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when p is rounded to the nearest ten. which of the following is a possible value of p?
Choices:
64
99
133
147
Answer: A
Question: A parking garage rents parking spaces for $10 per week or $25 per month. How much does a person save in a year by renting by the month rather than by the week?
Choices:
$120
$220
$240
$260
Answer: A
Question: A two years older than B who is twice as old as C. if the total of the ages of A , B and C be 27, the how old B ?
Choices:
8
9
10
12
Answer: C
Question: The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1836 in revenue from the sales. How many orchestra tickets did they sell?
Choices:
42
46
50
54
Answer: A
Question: Pipe A can fill a tank in 8 hours, pipe B in 16 hours and pipe C in 16 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
3
4
5
6
Answer: B
Question: If x^2 + 9/x^2 = 42, what is the value of x - 3/x
Choices:
6
9
5
3
Answer: A
Question: Express 25 mps in kmph?
Choices:
29
90
77
11
Answer: B
Question: X, Y, and Z are different prime numbers. The product X^3*Y^2*Z^2 is divisible by how many different positive numbers?
Choices:
36
48
60
72
Answer: A
Question: If x is an integer, then x(x - 1)(x - b) must be evenly divisible by three when b is any of the following values EXCEPT
Choices:
-2
-1
2
5
Answer: A
Question: Which of the following is a divisible by 11 number ?
Choices:
80
30
120
121
Answer: D
Question: What is the speed of the train in km/hr whose length is 360 metres which passes a pole in 18 seconds?
Choices:
50/9 km/hr
25/6 km/hr
55/18 km/hr
60/18 km/hr
Answer: A
Question: A man is walking at the rate of 8 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Choices:
1050 meters
1200 meters
2000 meters
None of these
Answer: C
Question: Rahul's mother is the only daughter of Monika's father. How is Monika's husband related to Rahul ?
Choices:
Father
Grandfather
Brother
SISTER
Answer: A
Question: Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Choices:
20 : 49 : 64
38 : 28 : 21
None of these
Cannot be determined
Answer: A
Question: In 1982 and 1983, Company B’s operating expenses were $12.0 million and $14.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?
Choices:
16 2/3%
25%
33 1/3%
60%
Answer: C
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
90 sec
19 sec
15 sec
11 sec
Answer: A
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
Choices:
150°
168°
180°
None of these
Answer: A
Question: 5355 x 51 = ?
Choices:
273105
273247
273250
273258
Answer: A
Question: (786×74) ÷ ? = 3635.25
Choices:
B)48
C)16
D)68
E)48
Answer: B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
Rs.100
Rs.125
Rs.175
Rs.275
Answer: B
Question: There are two cars. One is 300 miles north of the other. Simultaneously, the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour. How many miles apart are the cars after 5 hours?
Choices:
360
400
450
500
Answer: D
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.10000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Choices:
21
22
23
14
Answer: D
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 60 kmph. After how much time will they meet for the first time at the starting point?
Choices:
176 sec
178 sec
187 sec
180 sec
Answer: D
Question: A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Choices:
89 sec
99 sec
86 sec
85 sec
Answer: A
Question: There are k 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 k?
Choices:
12
15
18
22
Answer: A
Question: A circular rim 20 inches in diameter rotates the same number of inches per second as a circular rim 30 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
40x
48x
24x
x/75
Answer: A
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly once in 3 consecutive flips ?
Choices:
0.375
0.325
0.5
0.666
Answer: A
Question: Which is smallest prime number?
Choices:
37
24
67
107
Answer: A
Question: A man sitting in a bullet train which is travelling at 50 kmph observes that a goods bullet train , travelling in opposite direction, takes 9 seconds to pass him. If the goods bullet train is 280 m long, find its speed.?
Choices:
52 kmph.
75 kmph.
83 kmph.
62 kmph.
Answer: D
Question: What is the smallest integer n for which 25^n > 5^12 ?
Choices:
7
8
9
10
Answer: A
Question: Two integers are in the ratio of 1 to 4. If 12 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.
Choices:
16
32
48
54
Answer: C
Question: On a sum of money, the simple interest for 2 years is Rs. 324, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Choices:
14.25%
9.87%
10.5%
11.5%
Answer: B
Question: A two-digit number is such as the product of the digits plus the sum of the digits
is equal to the number. What is the number?
Choices:
num 3
num 5
num 7
num 9
Answer: D
Question: Simplify: 1398 x 1398
Choices:
1945440
1954440
1954044
1954404
Answer: D
Question: The reflex angle between the hands of a clock at 10.25 is:
Choices:
192	1/2 º
195º
197	1/2 º
197 º
Answer: C
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
67
69
70
Answer: A
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
2889
2777
2991
Answer: A
Question: Today my car meter reads as 72927 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Choices:
115 kms
110 kms
210 kms
120 kms
Answer: B
Question: The difference between the place value and the face value of 9 in the numeral 856973 is
Choices:
891
5994
6084
None of these
Answer: A
Question: The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people X who purchased only book A?
Choices:
500
750
1000
1500
Answer: C
Question: Look at this series: __, VIII, XI, XIV, XVII, XX, ... What number should fill the blank?
Choices:
XXIII
XV
V
None
Answer: C
Question: The variable x is inversely proportional to the square of the variable y. If y is divided by 7a, then x is multiplied by which of the following?
Choices:
1/49a^2
1/7a
49a
49a^2
Answer: D
Question: A certain sum of money at simple interest amounted Rs.1200 in 12 years at 6% per annum, find the sum?
Choices:
268
198
697
168
Answer: C
Question: The regular price per can of a certain brand of soda is $0.60. If the regular price per can is discounted 20 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?
Choices:
$18.00
$21.60
$34.56
$28.80
Answer: C
Question: Look at this series: 2, 3, 4, 9, 8,... What number should come next?
Choices:
64
16
32
27
Answer: D
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 36. What is the value of x?
Choices:
96
100
108
120
Answer: D
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 2.95, and c = 3.74, what is y – x?
Choices:
0
0.05
0.2
0.3
Answer: C
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Choices:
Rs.5200
Rs.1800
Rs.3000
Rs.5000
Answer: C
Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 100 km and the other at the rate of 120 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.85
4.51
5.85
6.15
Answer: B
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 m
111.82 m
111.19 m
131.12 m
Answer: A
Question: complete the following series
2, 4, 6, 10, ..... , 26
Choices:
16
12
14
18
Answer: A
Question: 106 x 106 - 94 x 94 = ?
Choices:
2400
1904
1906
None of them
Answer: A
Question: What is the value of n if the sum of the consecutive odd integers from 1 to n equals 169?
Choices:
25
37
33
29
Answer: A
Question: Which of the following describes all values of x for which 4-x^2 ≥ 0 ?
Choices:
x ≤ -1
0 ≤ x ≤ 1
x ≤ -1 or x ≥ 1
-2 ≤ x ≤ 2
Answer: D
Question: If x is an integer and y = 3x + 4, which of the following CANNOT be a divisor of y?
Choices:
6
5
7
8
Answer: A
Question: Find the least number of complete years in which a sum of money put out at 45% compound interest will be more than double of itself?
Choices:
2
4
5
6
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
287 m
245 m
276 m
237 m
Answer: B
Question: If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 72?
Choices:
36
12
18
16
Answer: B
Question: If TIER is written as 7183 and BRAIN is written as 23415, how is RENT coded ?
Choices:
3657
3857
2790
2711
Answer: B
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 52 percent were employees. What percent were stockholders, who were not employees?
Choices:
48
54
55
56
Answer: A
Question: P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in --- days if all of them are working together.
Choices:
3 3⁄7
4 ¼
5
5 ¼
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190
277
262
223
Answer: A
Question: A train 290 m long passed a pole in 29 sec. How long will it take to pass a platform 650 m long?
Choices:
94 sec
54 sec
27 sec
22 sec
Answer: A
Question: Ms. Adams sold two properties, X and Y, for $30,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
Choices:
Loss of $2,500
Gain of $1,250
Gain of $2,500
Neither a net gain nor a net loss
Answer: A
Question: If 100,000 microns = 1 decimeter, and 10,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
0.0001
0.001
10,000
100,000
Answer: D
Question: A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 1.5 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
Choices:
2,400,000
55,000
28,000
280
Answer: A
Question: I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose?
Choices:
600
300
800
1000
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:
6:9
6:5
6:1
6:2
Answer: B
Question: Find the principal if at 9% per annum simple interest, after 3 years the interest amounts to Rs. 2336 less than the principal?
Choices:
3450
3200
3500
3300
Answer: B
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 2years ago?
Choices:
214560
160000
210000
200000
Answer: B
Question: A basket contains 3 blue, 5 black and 3 red balls. If 3 balls are drawn at random what is the probability that all are black?
Choices:
2/33
33/2
8/33
9/33
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
8 sec
4 sec
2 sec
Answer: A
Question: X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
Choices:
Rs 110
Rs 120
Rs 130
Rs 140
Answer: B
Question: Mary's income is 60% more Than Tim's income and Tim's income is 30% less than Juan's income.What % of Juan's income is Mary's income.
Choices:
112%
96%
80%
64%
Answer: A
Question: A boatman can row 3 km against the stream in 20 minutes and return in 15 minutes. Find the rate of current ?
Choices:
8/2 kmph
5/2 kmph
1.5 kmph
2/2 kmph
Answer: C
Question: A fair sided dice labeled 1 to 6 is tossed two times. What is the probability of the dice obtaining the same value?
Choices:
6/36
1/2
7/216
11/216
Answer: A
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 7000. What was Simran's share in the profit?
Choices:
Rs. 3000
Rs. 2,500
Rs. 4,000
None of these
Answer: A
Question: A 5-digit number is formed by the digits 2,4,5,6,8 (each digit used exactly once) . What is the probability that the number formed is divisible by 4 ?
Choices:
2/5
4/5
6/5
7/5
Answer: A
Question: Of 45 applicants for a job, 21 had at least 4 years' experience, 27 had degrees, and 5 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Choices:
8
4
3
2
Answer: A
Question: A car rental company charges for mileage as follows: 6 dollars per mile for the first n miles and 7 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Choices:
7d-n
11d-n
13d-n
15d-n
Answer: A
Question: If Z is a positive integer, which of the following must be odd?
Choices:
Z^2+Z
Z^2+Z+1
x^2−1
3x^2−3
Answer: B
Question: (√97+√486)/√54=?
Choices:
2√3
3√2
3√3
13/3
Answer: D
Question: If x*y = xy + 2(x + y) for all integers x and y, then 2* (–3) =
Choices:
–11
–8
4
16
Answer: B
Question: A thief is spotted by a policeman from a distance of 225 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choices:
200m
400m
900m
None of them
Answer: C
Question: If x#y is defined to equal x^2/y for all x and y, then (-1#3)#3 =
Choices:
1/3
1/27
-1/12
-4/3
Answer: B
Question: If the radius of a cylinder is doubled and so is the height, what is the new volume of the cylinder divided by the old one?
Choices:
8.
6
4
10
Answer: A
Question: Three coworkers P , E , R meet for Dinner. P had 5 sandwiches, E had 3 and R had none. Both PE share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PE, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
Choices:
b) 3 $
c) 7 $
d) 4 $
e) 5.5 $
Answer: B
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
40%
50percent
60%
70%
Answer: B
Question: Q:Robert purchased $3500 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?
Choices:
27
50
70
80
Answer: D
Question: 24 men working 8 hours a day can finish a work in 10 days. Working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is
Choices:
36
34
32
None of these
Answer: C
Question: A polygon has 104 diagonals. How many sides does it have?
Self made
Choices:
13
14
15
16
Answer: D
Question: 2525 * 9
Choices:
22725
22655
27575
None of these
Answer: A
Question: what will come after
1,3,9,31,129
Choices:
551
651
751
851
Answer: B
Question: Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 2 to 1. Find the larger integer.
Choices:
6
10
12
15
Answer: A
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
Choices:
127
134
154
156
Answer: A
Question: Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
3:2
1:3
4:3
3:4
Answer: C
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,000?
Choices:
10
9
7
6
Answer: B
Question: Mona and Sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
Choices:
80
60
136
150
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of five rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
Choices:
12 min
10 min
15 min
16 min
Answer: C
Question: If -4 < x < 7 and -7 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-49 < xy < 24
-28 < xy < 18
-24 < xy < 21
-24 < xy < 24
Answer: A
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
3377
2776
2887
2667
Answer: B
Question: If n is a natural number, then (6n^2 + 6n) is always divisible by?
Choices:
Both 6 and 12
12 only
6 or 12
None
Answer: A
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $396 per week. How much does she earn in dollars per hour?
Choices:
8
9
11
2
Answer: C
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 15000, then population in 1980 was?
Choices:
142856
261000
627000
12690
Answer: A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34 sq m
9.98 sq m
1.98 sq m
3.78 sq m
Answer: A
Question: Find the value of (X) in the given equation ?
35% of 1500 + X = 45% of 4200 – 320
Choices:
980
1012
1045
None of these
Answer: C
Question: A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then A, B and C together can do the work in how many days?
Choices:
13 1/3 days
12 1/3 days
15 1/3 days
16 1/3 days
Answer: A
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest number?
Choices:
8
5
Cannot be determined
None of these
Answer: A
Question: Robert can row a boat at 15 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 80 km downstream?
Choices:
80/17
80/19
80/21
80/23
Answer: B
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$11,200
$12,000
$12,800
$33,000
Answer: D
Question: The S.I. on a certain sum of money for 2 years at 6% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
1267
3500
2267
1262
Answer: B
Question: If s and t are positive integers, st + s + t cannot be
Choices:
6
7
8
9
Answer: A
Question: A certain candy manufacturer reduced the weight of Candy Bar M by 5 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M?
Choices:
5.4
5.3
5.2
5.1
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
0
10
19
20
Answer: A
Question: A number x is 12 times another number y. The percentage that y is less than x is
Choices:
91.6%
80%
11%
1%
Answer: A
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:8:9. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
Choices:
40%
30%
55%
70%
Answer: B
Question: A man can reach certain place in 10hours. If he reduces his speed by 1/5th, he goes 10km less in time. Find his speed?
Choices:
5km/hr
10.78km/hr
14km/hr
43.15km/hr
Answer: A
Question: Shreyas bought an article and sold it for 105% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42000/-?
Choices:
Rs.40000
Rs.44250/-
Rs.43200
None of these
Answer: A
Question: If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
Choices:
2
1
6
5
Answer: B
Question: The average of 11 numbers is 11. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Choices:
10.4
81.5
11.5
21.5
Answer: A
Question: (2^2-1)(2^2+1)(2^4+1)(2^9+1)=
Choices:
2^17 - 1
2^32 - 1
2^128 - 1
2^16(2^16-1)
Answer: A
Question: 120 is what percent of 50 ?
Choices:
240%
50%
2%
500%
Answer: A
Question: If x^2=3x+1, then x^3 = ?
Choices:
10x+3
6x+1
2x+3
6x+4
Answer: A
Question: A reduction of 20% in the price of oil enables a house wife to obtain 10 kgs more for Rs.1500, what is the reduced price for kg?
Choices:
Rs.25
Rs.30
Rs.35
Rs.40
Answer: B
Question: The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 14 shirts each of them then average number of shirt each of them now has
Choices:
54
67
can't be determined
None of these
Answer: A
Question: The average weight of A, B and C is 60 kg. If the average weight of A and B be 70 kg and that of B and C be 50 kg, then the weight of B is:
Choices:
60 kg
55 kg
57 kg
62 kg
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
777 m
200 m
167 m
128 m
Answer: B
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 14 years and that for 18 years?
Choices:
7 : 9
5 : 9
Data inadequate
None of these
Answer: A
Question: 264, 396, 462, 792, 968, 2178, 5184, 6336?
How many of the following numbers are divisible by 132 ?
Choices:
3
5
9
4
Answer: D
Question: Out of a classroom of 3 boys and 8 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Choices:
17/33
48/165
52/165
56/165
Answer: D
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 14 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Choices:
2
5
6
8
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:4
4:7
4:2
Answer: A
Question: 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?
Choices:
405
408
415
None
Answer: B
Question: A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 3 gallons of paint cover an area of 4P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
Choices:
660mx/P
880mx/P
440P/mx
330mx/P
Answer: A
Question: WHEN A PERSON SELLS TWO ITEMS $800 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
Choices:
4% loss
5% gain
2% gain
1% loss
Answer: A
Question: 1500 men have provisions for 17 days. If 320 more men join them, for how many days will the provisions last now?
Choices:
12.0
14
15
16
Answer: B
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Choices:
886 km
866 km
300 km
261 km
Answer: C
Question: Out of 5 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
120
3600
300
2100
Answer: B
Question: In 1992 a total of 550 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 150 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choices:
1/8
3/8
5/8
7/8
Answer: B
Question: Each month a retailer sells 100 identical items. On each item he makes a profit of $40 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
Choices:
213
221
223
226
Answer: C
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Choices:
165
205
225
245
Answer: A
Question: The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.
Choices:
1/4
2/4
4/1
None
Answer: A
Question: If a card is drawn from a shuffled deck of cards, what is the probability of drawing a red card or a 9?
Choices:
15/26
7/13
7/12
13/26
Answer: B
Question: The closest approximation of D(69.28 × 0.004)/0.03 is
Choices:
0.92
9.2
92
920
Answer: B
Question: Company C sells a line of 25 products with an average retail price of $1,000. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Choices:
8000
7000
6000
5000
Answer: B
Question: How many integers between 324,700 and 448,600 have tens digit 1 and units digit 3?
Choices:
8,030
1,253
1,252
1,239
Answer: D
Question: The greatest possible length which can be used to measure exactly the length 5m ,7m 25cm, 1m 25 cm is?
Choices:
25cm
56cm
42cm
35cm
Answer: A
Question: The total number of digits used in numbering the pages of a book having 266 pages is
Choices:
990
109
130
690
Answer: D
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $12. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
108/(xy)
xy/90
xy/10
10/(xy)
Answer: A
Question: If it takes 4 identical printing presses exactly 4 hours to print 8,000 newspapers, how long would it take 2 of these presses to print 6,000 newspapers?
Choices:
6 hours
7 hours
5 hours
9 hours
Answer: A
Question: Three numbers are in the ratio 2:3:5 and their H.C.F is 30. The numbers are:
Choices:
5, 10, 15
10, 20, 30
60, 90, 150
12, 24, 39
Answer: C
Question: TOM traveled the entire 100 miles trip. If he did the first 50 miles of at a constant rate 20miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?
Choices:
26.55 mph
28.57 mph
25.56 mph
28.45 mph
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
66 km/hr
48 km/hr
67 km/hr
22 km/hr
Answer: B
Question: In the first twelve overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 38 overs to reach the target of 249 runs?
Choices:
5.1
6.5
6.75
None of these
Answer: A
Question: A large research project was scheduled over the course of a 100-month period, and a budget of $250,000 was allotted for the course of the entire project. After 10 months, the project had spent $26,000. Was the project at this point over budget or under budget, and by how much?
Choices:
under, $1200
under, $700
over $1800
over $1000
Answer: D
Question: The sum of all consecutive odd integers from −25 to 35, inclusive, is
Choices:
135
155
195
235
Answer: B
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 136. Find their present ages.
Choices:
28, 36
35, 45
56, 72
of these
Answer: C
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 a.m
90 a.m
18 a.m
20 a.m
Answer: A
Question: A man can row downstream at 28 kmph and upstream at 16 kmph. Find the speed of stream ?
Choices:
5
4
6
3
Answer: C
Question: An auction house charges a commission of 18% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
Choices:
$160,000
$200,000
$240,000
$365,000
Answer: B
Question: A certain list of 200 test scores has an average (arithmetic mean) of 80 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ?
Choices:
80 and 80
80 and 90
85 and 85
85 and 90
Answer: A
Question: A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on foot is :
Choices:
1 hr 16 min
1 hr 18 min
1 hr 19 min
None
Answer: A
Question: A and B can do a piece of work in 4 days, B and C in 5 days, C and A in 6 days. How long will C take to do it?
Choices:
120/7 days
100/13 days
80/7 days
60/7 days
Answer: A
Question: A store has announced a 10% rebate for the entire day. If Amy only has Rs.500 in her pocket and needs Rs.20 to get back home, how many bottles of juice can she buy at the most from the store, with each juice costing Rs.50 before the discount?
Choices:
9
10
11
12
Answer: B
Question: A grocer has a sale of Rs. 5700, Rs. 8550, Rs. 6855, Rs. 3850 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 7800?
Choices:
s. 49930
s. 14045
s. 14999
s. 14578
Answer: B
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $2 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Choices:
1 : 2 : 200
20 : 4 : 1
100 : 4 : 1
400 : 4 : 1
Answer: A
Question: A train 100 m long crosses a platform 200 m long in 15 sec; find the speed of the train?
Choices:
58 kmph
72 kmph
94 kmph
59 kmph
Answer: B
Question: Find the average of all prime numbers between 1 and 10
Choices:
1.35
4.25
6.12
7.13
Answer: B