antoine-444/aqua_rat_dataset huggingface dataset:
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Choices:
8
10
14
16
Answer: A
Question: At Ram's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009?
Choices:
1000
1300
1600
2000
Answer: B
Question: A boat moves upstream at the rate of 1 km in 30 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
Choices:
1.5 kmph
3 kmph
2.5 kmph
3.5 kmph
Answer: A
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 3.5 cms, How much did it rain on Wednesday?
Choices:
10.5
12.25
10.1
10.6
Answer: B
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270
266
299
126
Answer: A
Question: How many positive integers less than 22 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
Choices:
17
12
11
10
Answer: A
Question: a school has 11 maths 8 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
Choices:
4
6
8
9
Answer: C
Question: Find the odd man out. 16, 36, 121, 152, 169, 225, 289, 324
Choices:
289
225
169
152
Answer: D
Question: Harish can paint a wall in just 3 hours. However it takes 6 hours for Ganpat to complete the same job of painting the wall.
How long would it take for both of them to paint the wall , if both work together ?
Choices:
1 Hours
3.20 Hours
2 Hours
1.35 Hours
Answer: C
Question: If 2 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?
Choices:
-4
-5
1
6
Answer: B
Question: Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
$5.00
$5.50
$7.50
$15.00
Answer: A
Question: A triangle has a perimeter 16. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Choices:
4
6
7
8
Answer: B
Question: Larry and Daniel are partners in a business, they invested Rs. 50,000 and Rs. 39,000 respectively.If the business yielded a total profit of Rs. 21,000, what is Daniel's share?
Choices:
9272.25
9982.25
9211.25
9202.25
Answer: D
Question: If a·b·c·d=360, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?
Choices:
10
11
13
15
Answer: A
Question: The maximum number of students among them 1008 pens and 928 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Choices:
16
36
19
32
Answer: A
Question: Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/2 of the juniors is equal to 2/3 of the seniors, what fraction of the students in the room are juniors?
Choices:
4/7
5/3
12/7
17/20
Answer: A
Question: For any non-zero a and b that satisfy |ab| = ab and |a| = -a, |b-5| + |ab+b| =
Choices:
2b-ab-4
ab+4
ab-2b+4
4+2ab
Answer: D
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage.
Choices:
17.4%
17.9%
18.5%
19.1%
Answer: A
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 6/3%
16 2/3%
16 1/3%
12 2/3%
Answer: B
Question: Jen has a jar of jam, and she ate 1/3 of the jam for lunch. If Jen ate 1/7 of the remaining jam for dinner, what fraction of the jam was left after dinner?
Choices:
3/7
4/7
9/14
11/14
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.1
62.7
62.2
Answer: A
Question: In a two digit number, the digit in the units place is two times the digit in ten's place and sum of the digits is equal to 12. What is the number?
Choices:
28
32
36
48
Answer: D
Question: Two whole numbers whose sum is 40 cannot be in the ratio
Choices:
2:3
1:3
2:4
3:5
Answer: C
Question: The integers from 1 to 1851 are entered sequentially in 12 columns (numbered 1 to 12); i.e. Row 1 contains the numbers 1 to 12, Row 2 contains the next 12 numbers and so on. If the number 1369 occurs in row p and column q, then the value of p + q is
Choices:
115
116
117
118
Answer: B
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *6 + 3 and *6 + 6, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: At 5% per annum simple interest, Rahul borrowed Rs. 500. What amount will he pay to clear the debt after 4 years
Choices:
700
650
600
None of these
Answer: C
Question: A man swims downstream 51 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8.5
9.5
6.5
11.5
Answer: D
Question: Convert 400 miles into meters?
Choices:
845796
804670
784596
643736
Answer: D
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
3:6
3:1
3:2
3:5
Answer: B
Question: Rani started a business investing Rs. 10,000. Roja joined him after six months with an amount of Rs. 35,000 and Sachin joined them with Rs. 70,000 after another six months. The amount of profit earned should be distributed in what ratio among Rani, Roja and Sachin respectively, 3 years after started the business ?
Choices:
12:15:16
42:45:56
None of these
12 : 35 : 56
Answer: D
Question: How many different 6-letter sequences are there that consist of 1A, 20B's and 15C's ?
Choices:
60
120
360
720
Answer: C
Question: In an examination 60% failed in Math and 40% failed in French. If 10% failed in both. What % of students passed in both.
Choices:
15%
20%
30%
10%
Answer: D
Question: Which of the following is(are) true for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b-1)
III. a@b=(a/b)+(b/a)
Choices:
only Ⅱ
only Ⅲ
only ⅠⅢ
only ⅡⅢ
Answer: D
Question: The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
Choices:
2:7
3:5
5:2
4:25
Answer: D
Question: A volume of 10976 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Choices:
8231
2734
2744
4254
Answer: C
Question: 576, 529, 484, 441, 400, ?
Choices:
361
289
256
225
Answer: A
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:0
9:5
9:2
Answer: A
Question: In how many ways can 5 Indians and 5 Englishmen be seated along a circle so that they are alternate?
Choices:
4!5!
3!9!
8!5!
7!9!
Answer: A
Question: The sum of the first 50 positive even integers is 2,000. What is the sum of the odd integers from 101 to 200, inclusive?
Choices:
7,500
8,050
15,000
19,600
Answer: B
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
18%
15%
12%
10%
Answer: C
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 40% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
21%
33%
Cannot be determined
Answer: C
Question: What is the total number of integers between 100 and 500(exclusive) that are divisible by 5?
Choices:
63
79
66
42
Answer: B
Question: Rs.770 were divided among A,B,C in such a way that A had Rs.40 more than B and C had Rs 30 more than A . How much was Bâ€™s share?
Choices:
Rs.270
Rs.280
Rs.290
Rs.300
Answer: C
Question: A student gets 60% in one subject, 70% in the other. To get an overall of 70% how much should get in third subject.
Choices:
80%
45%
55%
65%
Answer: A
Question: In how many ways can the letters L, I, M, I, T, S be arranged so that the two I's are not next to each other?
Choices:
48
240
296
428
Answer: B
Question: A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
Choices:
3.46%
3.49%
4.46%
3.66%
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) x^2 = 729 and (b) Y= (729)^(1/2)
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: C
Question: A light has a rating of 80 watts, it is replaced with a new light that has 25% higher wattage. How many watts does the new light have?
Choices:
95
80
60
100
Answer: D
Question: A box contains 25 mangoes out of which 5 are spoilt. If five mangoes are chosen at random, find the probability that A number is selected at random from first fifty natural numbers. What is the chance that it is a multiple of either 7 or 9?
Choices:
1/25
6/25
7/25
9/25
Answer: B
Question: The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 3.6 miles in the seventh 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
Choices:
36
39
42
45
Answer: D
Question: 7 members have to be selected from 12 men and 3 women ,Such that no two women can come together .In how many ways we can select them ?
Choices:
12c6*3c1 + 12c7
1c6*3c1 + 12c7
11c6*3c1 + 12c7
12c6*3c1 + 11c7
Answer: A
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
12.6 Years
13.6 Years
14 Years
14.5 Years
Answer: A
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
6 sec
7 sec
11 sec
13 sec
Answer: A
Question: Lucy bought a 1-year,10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. What was the total amount of interest paid on this certificate at maturity ?
.
Choices:
864
816
800
480
Answer: C
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 40°, what fraction of the wheel’s area is represented by the smallest sector?
Choices:
5/36
1/18
1/12
1/9
Answer: A
Question: In a company of 12 employees, 5 employees earn $36,000, 4 employees earn $45,000, and the 3 highest-paid employees earn the same amount. If the average annual salary for the 12 employees is $47,500, what is the annual salary for each of the highest-paid employees?
Choices:
$65,000
$70,000
$75,000
$80,000
Answer: B
Question: If an article is sold at 20% profit instead of 14% profit, then the profit would be Rs. 180 more. What is the cost price?
Choices:
Rs. 2000
Rs. 3000
Rs. 4000
Rs.5200
Answer: B
Question: Pipe P can fill a tank in 16 minutes and pipe Q cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe Q be closed, so that the tank is filled in 30 minutes?
Choices:
21
25
22
40
Answer: A
Question: At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. How many cooks does the restaurant have?
Choices:
6
9
12
15
Answer: B
Question: A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
Choices:
$2,120
$1,960
$1,920
$1,400
Answer: A
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be B's share of the earnings?
Choices:
$520
$780
$1170
$630
Answer: B
Question: The timing of a college is from 11 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Choices:
52 minutes
30 minutes
48 minutes
44 minutes
Answer: A
Question: Two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1/3 when we roll both the cube.
Choices:
0
2
3
4
Answer: A
Question: if p/q=3/4
then3p+9q=?
Choices:
25/2
20/4
45/4
25/3
Answer: C
Question: Find the altitude of a parallelogram whose are is
5400cm2 and the base is 45cm
Choices:
90 cm
100 cm
110 cm
120 cm
Answer: D
Question: In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
1 sec
9 sec
7 sec
2 sec
Answer: C
Question: 30 ladies and 60 gentlemen are present at a party. There are 23 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?
Choices:
1/100
1/50
1/40
23/1800
Answer: D
Question: Sonika bought a V.C.R. at the list price of 18,600. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
Choices:
20,088
19,680
19,380
None of these
Answer: A
Question: A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31
Choices:
5
4
6
7
Answer: A
Question: In a certain group of 13 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Choices:
154
202
201
200
Answer: B
Question: Car A runs at the speed of 58km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
12 : 7
29 : 18
15 : 6
13 : 6
Answer: B
Question: A rectangle has a perimeter of 176 inches. The length of the rectangle is 8 inches more than its width. What is the area of the rectangle?
Choices:
1,920 square inches
1,936 square inches
2,304 square inches
None of these
Answer: A
Question: What number comes next?
582, 693, 715, 826, 937, ?
Choices:
231
245
158
123
Answer: C
Question: The sum of the digits of [(10^x)^y]-64=279. What is the value of xy ?
Choices:
29
30
31
32
Answer: D
Question: In the junior basketball league there are 18 teams, 1/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
Choices:
6.
7.
8.
10.
Answer: D
Question: On a trip covering 400 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
Choices:
16.0
16.5
17.0
17.5
Answer: A
Question: A and B are two partially filled buckets of water. If 2 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 2 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
13
17
21
22/5
Answer: D
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, the how old is B?
Choices:
12 years
14 years
15 years
16 years
Answer: B
Question: After spending 40 percent machinery, 25 percent in building , 15 percent in raw material and 5 percent on furniture . John had a balance of Rs.1305. Total money with him was?
Choices:
8700
9400
9800
8900
Answer: A
Question: In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects. If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam?
Choices:
3000
3500
3800
4000
Answer: A
Question: For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 120?
Choices:
24
26
28
30
Answer: D
Question: Express a speed of 108 kmph in meters per second?
Choices:
30 mps
26 mps
97 mps
16 mps
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
B)8
C)6
D)2
E)1
Answer: C
Question: if the list price of a book is reduced by Rs.5,then a person can buy 5 more books for Rs.300. The original cost of the book is
Choices:
Rs.20
Rs.25
Rs.30
Rs.35
Answer: A
Question: 5 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
21
10
15
12
Answer: B
Question: In a colony the municipality decided to number the houses and the shops. They want to number the shops with the numbers containing 3 between 1-100. The houses are 10-20 floored and at the back of the houses 8 feet is left for fire exit. How many shops can be numbered?
Choices:
19
21
22
23
Answer: A
Question: For which of the following does f(u)−f(v)=f(u−v) for all values of u and v?
Choices:
f(a)=a/2
f(a)=a+5
f(a)=2a−1
f(a)=|a|
Answer: A
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
64√9
64√4
64√3
64√2
Answer: C
Question: What percent of 60 is 110?
Choices:
75
183.33
33 1⁄3
25
Answer: B
Question: When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at
Choices:
(-5 , -1)
(-1 , -3)
(-2 , -3)
None
Answer: A
Question: A train running at 35 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
Choices:
100m50m
50m45m
100/3 m200/3
none of these
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
17
10
12
13
Answer: C
Question: Sarah makes handmade jewelry. This month she has created 253 necklaces. If she distributes her jewelry evenly to the 6 jewelry stores in town, how many necklaces remain with her?
Choices:
1 necklace
2 necklaces
3 necklaces
4 necklaces
Answer: A
Question: Tough and Tricky questions: Probability.
Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
Choices:
8/27
2/3
61/125
65/81
Answer: C
Question: The perimeter of one square is 48 cm and that of another is 24 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
13.4√2
12√4
13√9
Answer: B
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Choices:
176 km
960 km
199 km
986 km
Answer: B
Question: When 2 dices tossed, what is the probability that 2 numbers faced have difference 2?
Choices:
2/9
1/3
4/9
5/9
Answer: A
Question: A Pharmacy company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 8 hrs and a machine of type S does the same job in 4 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
4
2
9
12
Answer: B
Question: Eggs are sold in packages of six or eleven only. If Doris bought 79 eggs exactly, what could be the number of large packs Doris bought?
Choices:
2.
3.
5.
4.
Answer: C
Question: What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
Choices:
630
1260
2520
2540
Answer: A
Question: The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
55 cm2
65 cm2
45 cm2
35 cm2
Answer: A
Question: How much interest can a person get on Rs. 6280 at 15.5% p.a. simple interest for a period of five years and six months?
Choices:
5353.71
5353.7
5353.73
5353.74
Answer: B
Question: Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 40 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?
Choices:
9:25
5:4
25:9
Cannot be determined from the information provided
Answer: B
Question: What is the dividend. divisor 19, the quotient is 7 and the remainder is 6
Choices:
137
138
139
140
Answer: C
Question: If log 27 = 1.731, then the value of log 9 is:
Choices:
0.945
0.954
1.156
0.987
Answer: C
Question: A certain sum of money doubles itself in 17 years in how much many years will it trible itself at the same rate?
Choices:
76 years
88 years
44 years
34 years
Answer: D
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
616
157
154
174
Answer: D
Question: A merchant marks goods up by 75% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 57.5%. What % discount did the merchant offer?
Choices:
10%
20%
25%
30%
Answer: A
Question: The cost of 15 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Choices:
Rs 56
Rs 58.50
Rs 64.75
None of these
Answer: A
Question: What is the greatest of 3 consecutive integers whose sum is 24 ?
Choices:
7
8
9
5
Answer: C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
18:11
18:19
18:13
18:12
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choices:
14
12
18
16
Answer: B
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 35% profit?
Choices:
16.33
16.35
17.01
16.32
Answer: C
Question: The value of log5(1/ 125) is
Choices:
-3
1/3
-1/3
None
Answer: A
Question: If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
Choices:
16 2/3%
16 2/7%
16 2/1%
16 2/2%
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
27
18
28
43
Answer: B
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Choices:
5:11
5:12
5:27
5:16
Answer: D
Question: If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ?
Choices:
2.02 %
1.04 %
2.25 %
3.40 %
Answer: C
Question: 60% of a number is added to 120, the result is the same number. Find the number?
Choices:
300
267
266
144
Answer: A
Question: The mean of (54,825)^2 and (54,827)^2 =
Choices:
(54,821.5)^2
(54,820.5)^2
(54,826)^2 + 1
(54,821)^2 – 1
Answer: C
Question: In how many ways can the letters of the word CREATION be arranged such that all the vowels always appear together?
Choices:
5!*4!
8!*4!
4!*4!
8!*5!
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:
18 years
20 years
22 years
16 years
Answer: C
Question: The average weight of 8 person's increases by 4 kg when a new person comes in place of one of them weighing 55 kg. What might be the weight of the new person?
Choices:
87 kg
90 kg
100 kg
110 kg
Answer: A
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 450 dollars, and, in a third, loses 30. In the end he finds he has gained 100 dollars, by the three together. How much did he gain or lose bv the first ?
Choices:
-340
-320
348
None
Answer: B
Question: When the perimeter of a regular polygon is divided by 5, the length of a side is 25. What is the name of the polygon? What is the perimeter?
Choices:
125
127
128
129
Answer: A
Question: A total of 320 chocolates were distributed among 100 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Choices:
30,40
70, 50
20,20
10,15
Answer: C
Question: According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 85% like cherries. What is the minimum percentage of people who like all three?
Choices:
20%
25%
30%
35%
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50 km/hr
12 km/hr
40 km/hr
43 km/hr
Answer: A
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m?
Choices:
26000
27891
25000
18771
Answer: A
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $355. What is the share of Rahul?
Choices:
$142
$60
$100
$90
Answer: A
Question: During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1/3 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
Choices:
x/2
2x/3
3x/5
4x/5
Answer: C
Question: A pump can fill a tank with a water in 2 hours. Because of a leak, it took 6 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
Choices:
3
4
5
6
Answer: A
Question: A toy store sells small, medium, large, and super-large toy trucks in each of the colors red, blue, black, green, orange, pink, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Choices:
4/7
3/14
5/14
11/28
Answer: C
Question: In how many ways can nine different rings be worn on four fingers of one hand?
Choices:
129
135
126
182
Answer: C
Question: If 5x+2y=3x-4y,then what equation will arise?
Choices:
y=-x
A and B
x=y
None
Answer: C
Question: United Telephone charges a base rate of $11.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
Choices:
10 minutes
20 minutes
40 minutes
60 minutes
Answer: B
Question: In a colony of 70 residents, the ratio of the number of men and women is 3 : 4. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
Choices:
B)1:2
C)1:8
D)1:9
E)1:3
Answer: A
Question: Of the 400 members at a health club, 280 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Choices:
240 to 280
220 to 260
220 to 300
40 to 100
Answer: A
Question: A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 8 minutes.
In how much time will he be able to take all the five tablets?
Choices:
2 Hour.
3 Hour.
None
32 min
Answer: D
Question: A person can row at 9 kmph and still water. He takes 5 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
87 km
89 km
67 km
24 km
Answer: D
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:
18 years
20years
22 years
None of these
Answer: C
Question: Two train 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Choices:
252 sec
320 sec
330 sec
None
Answer: A
Question: 85% of the population of a city is 85000. The total population of the city is?
Choices:
97500
100000
105000
102500
Answer: B
Question: 2,200 has how many positive divisors?
Choices:
16
20
24
32
Answer: C
Question: At exactly what time past 6:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Choices:
20 13/17 minutes past 7:00
21 9/11 minutes past 6:00
21 9/11 minutes past 7:00
22 4/9 minutes past 7:00
Answer: B
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 Kmph
67 Kmph
57 Kmph
41 Kmph
Answer: A
Question: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 5?
Choices:
98,910
64,749
49,700
56,720
Answer: A
Question: Sam invested $15000 @10% per annum for one year. If the interest is compounded half yearly, then the amount received by Sam at the end of the year will be?
Choices:
$16537.50
$18475.89
$15478.56
$12456.35
Answer: A
Question: Two trains of equal lengths take 10 sec and 12 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
11 sec
17 sec
21 sec
23 sec
Answer: A
Question: Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Choices:
2354
2678
3334
3568
Answer: C
Question: On eight consecutive flips of a coin, what is the probability that all eight produce the same result?
Choices:
1/128
1/8
1/4
1/2
Answer: A
Question: Pradeep has to obtain 20% of the total marks to pass. He got 390 marks and failed by 25 marks. The maximum marks are
Choices:
2075
800
1000
3900
Answer: A
Question: Which of the following is a prime number ?
Choices:
35
97
35
27
Answer: B
Question: The population of a town increased from 1,33,400 to 1,93,500 in a decade. The average percent increase of population per year is:
Choices:
4.5%
6.5%
8.75%
None
Answer: A
Question: Ratio between Rahul and Deepak is 4:3, After 22 Years Rahul age will be 26 years. What is Deepak present age
Choices:
3
5
7
8
Answer: A
Question: A and B invests Rs.3000 and Rs.5000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:7
9:5
9:10
Answer: D
Question: 75 people are being divided into committees. However, the project calls for 9 teams of 9 people each. How many more people are needed to reach this quota?
Choices:
6
19
10
2
Answer: A
Question: Due to construction, the speed limit along an 7-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
3
4
5
6
Answer: B
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 2 months, find for how much time did Q invest the money?
Choices:
10
18
4
12
Answer: C
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
Rs.2000
Rs.1891
Rs.1750
Rs.1600
Answer: A
Question: The value of 99^(93/99) x 99 is:
Choices:
9896
9894
9809
9810
Answer: B
Question: A man can do a piece of work in 6 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
Choices:
7
6
8
9
Answer: B
Question: In how many ways can the letters of the word REPEATED be arranged?
Choices:
1348
6720
3000
3478
Answer: B
Question: One day a car rental agency rented 3/4 of its cars, including 5/6 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
Choices:
11/15
7/10
4/7
2/5
Answer: D
Question: If the LCM of two integers I, J (where J> I and I>1) is I*J, then which of the following can not be true?
Choices:
All Prime factors of I must be Prime factors of J.
Both I and J can be Prime Numbers.
I and J do not share any Prime factors.
I and J do not have a common factor
Answer: A
Question: Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 6 years?
Choices:
42 years
46 years
37 years
None of the above
Answer: B
Question: In a colony of 70 residents, the ratio of the number of men and women is 5 : 2. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
Choices:
A)1:4
C)1:8
D)1:9
E)1:3
Answer: A
Question: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 100 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
Choices:
400
540
500
840
Answer: C
Question: One night a certain hotel rented 4/5 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Choices:
70%
80%
90%
100%
Answer: D
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and
second half at the rate of 24 km/hr. Find the total journey in km
Choices:
222 Km
224 Km
248 Km
None of these
Answer: B
Question: A semicircle has a radius of 9. What is the approximate perimeter of the semicircle?
Choices:
25
33
46
58
Answer: C
Question: The probability of two events A and B are 0.20 and 0.40 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
Choices:
0.4
0.5
0.55
0.6
Answer: C
Question: A can work four times as fast as B. Together they can finish a job in 12 days. In how many days can A complete the job alone?
Choices:
15
16
17
18
Answer: A
Question: 100 identical coins each with probability 'pp' showing up heads & tossed.
Choices:
11/101
51/101
53/102
54/101
Answer: B
Question: If a#b = ab – b + b^2, then 3#4 =
Choices:
8
15
24
35
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
36
99
17
Answer: A
Question: The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Choices:
107
111
185
186
Answer: B
Question: Find the value of 85P3 .
Choices:
595650
535950
565350
575350
Answer: A
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 30.00?
Choices:
$ 11.20
$ 14.40
$ 16.80
$ 18.00
Answer: C
Question: About the number of pairs which have 20 as their HCF and 136 as their LCM, the conclusion can be
Choices:
only two such pairs exist
many such pairs exist
yes such pair exists
paid does not exists
Answer: D
Question: If two different solutions of alcohol with a respective proportion of water to alcohol of 3:1 and 2:3 were combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Choices:
36.6%
42.5%
44.4%
60.0%
Answer: B
Question: How many prime numbers are between 25/8 and 213/6?
Choices:
7
8
9
10
Answer: C
Question: Rs.20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Choices:
10.4
14.8
15.4
none
Answer: A
Question: If m^(-1) = -1/6 then m^(-2) is equal to
Choices:
-3
-1/9
1/9
1/36
Answer: D
Question: If the cost price of 165 chocolates is equal to the selling price of 150 chocolates, the gain percent is
Choices:
9
10
11
12
Answer: B
Question: What number comes next?
284, 693, 712, 846, 937, ?
Choices:
231
245
128
123
Answer: C
Question: In a farm, 2000 seeds were planted wheat and 3000 rice seeds were planted. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
Choices:
46.5%
48.0%
49.5%
51.0%
Answer: B
Question: Of the students at a certain high school, 90 percent took a course in algebra or geometry and 30 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?
Choices:
50%
45%
35%
30%
Answer: A
Question: If x and y are positive real numbers such that x + y = 1, which of the following could be the value of 100x + 400y?
I. 80
II. 250
III. 399
Choices:
III only
I and II
I and III
II and III
Answer: D
Question: David obtained 72, 60, 35, 62 and 84 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
Choices:
62.6
87
165
11
Answer: A
Question: If a = (3)b and c = 5b, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of b ?
Choices:
b/4
2b
3b
5b
Answer: C
Question: By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
6
8
9
1
Answer: B
Question: In a workshop there are 3 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
80.
60.
48.
16.
Answer: B
Question: The simple form of the ratio 4/3:3/7 is?
Choices:
7:3
15:3
25:3
30:3
Answer: A
Question: 16 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
200
210
220
240
Answer: D
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
72.9
25.4
31.5
70.5
Answer: A
Question: The calendar for the year 2001 is same for which of the following year?
Choices:
2007
2011
2006
2009
Answer: A
Question: A seven-digit phone number is divisible by 4. After adding the two digits of the area code the number is not divisible by 4, which of the following cannot be the area code?
Choices:
06.
05.
04.
02.
Answer: C
Question: How many trucks are there if each truck carrying 70 packages and total of 490 packages?
Choices:
A)7
C)9
D)11
E)None of the above
Answer: A
Question: If R is a positive integer, and R/15 = 8.2, what is the remainder when R is divided by 15?
Choices:
B.2
C.3
D.4
E.8
Answer: B
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $11. If the shop keeper has a order of 200 articles, how much profit he will get?
Choices:
B)2000
C)1500
D)200
E)600
Answer: C
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 144, then the number of hens will be:
Choices:
23
24
26
28
Answer: B
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
12
11
13
15
Answer: C
Question: Which of the numbers below is the odd one out
1,3,7,13,24,21,31.
Choices:
7
21
24
31
Answer: C
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Choices:
289
269
600
122
Answer: C
Question: What will be 60 percent of a number whose 200 percent is 90 ?
Choices:
72
27
None of these
Cannot be determined
Answer: B
Question: Find the smallest number in a GP whose sum is 38 and product 1728
Choices:
20
8
All of these
none of these
Answer: B
Question: Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
15/20
13/15
17/20
7/17
Answer: D
Question: A jar full of whisky contains 30% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
Choices:
1/3
2/5
3/5
4/5
Answer: A
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number E of different possible seating arrangements for the group?
Choices:
10
24
32
120
Answer: B
Question: If a and b are both odd numbers, which of the following is an odd number?
Choices:
a + b + 2
ab+2
ab + 1
NOne
Answer: B
Question: If y is 70% greater than x, than x is what % less than y?
Choices:
25.5
33.3
41.2
54.4
Answer: C
Question: 31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 14 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?
Choices:
B)18
C)25
D)29
D)36
Answer: B
Question: The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Choices:
0.4%
0.3%
0.2%
0.1%
Answer: B
Question: On dividing a number by 5, we get 5 as quotient and 0 as remainder. On dividing the same number by 11, what will be the remainder?
Choices:
2
7
9
3
Answer: D
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
7799
2500
2772
2912
Answer: B
Question: What is the sum of the multiples of 4 between 19 and 130 inclusive?
Choices:
2044
2060
2072
2080
Answer: C
Question: The average of first five prime numbers greater than 3 is?
Choices:
10.6
32.3
32.8
32.4
Answer: A
Question: Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually
Choices:
Rs 412
Rs 512
Rs 612
None of these
Answer: C
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter E of liquid A was contained by the can initially?
Choices:
20
21
25
27
Answer: B
Question: Kate is 12 years old. His age is 4 times the age of Robbie. Find the age of Robbie.
Choices:
2yrs
3yrs
4yrs
5yrs
Answer: B
Question: Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 51 years. The age of E is?
Choices:
47
55
49
46
Answer: B
Question: At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Gokul, and Dinesh get lockers with the numbers 50, 400, 150, and 25, respectively, who is the most popular student?
Choices:
Kamal
Gokul
Dinesh
They have equal popularity
Answer: B
Question: If 4 and 11 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 13
III. 15
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: A
Question: Tim and Élan are 90 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
Choices:
35 miles.
45 miles.
60 miles.
65 miles.
Answer: C
Question: Peeta asks Katniss, 'It is 10 am as per my watch right now.Do you know what will be the time 23, 999, 999 hours later?'
Katniss knows the answer. Do you ?
Choices:
6pm
4am
7am
8pm
Answer: C
Question: A certain country is divided into 6 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/18 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?
Choices:
1/3
1/2
2/3
3/4
Answer: D
Question: There was a cycle race going on. 1/5th of the those in front of a person and 5/6th of those behind him gives the total number of participants. How many people took part in the race?
Choices:
31
32
33
34
Answer: A
Question: A retailer sold two articles at a profit percentage of 10% each. The cost price of one article is three – fourth that of the other. Find the ratio of the selling price of the dearer article to that of the cheaper one
Choices:
4:3
41:31
51:41
61:41
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
44%
78%
55%
33%
Answer: A
Question: A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 400 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
Choices:
4
6
8
10
Answer: C