Quantitative Aptitude - 10

Directions (Q. 1-5): Each question below is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose the possible answers. Give answer

1) if the statement A alone is sufficient to answer the question but the statement B alone is not sufficient.

2) if the statement B alone is sufficient to answer the question but the statement A alone is not sufficient.

3) if both statements A and B together are necessary to answer the question.

4) if either statement A alone or statement B alone is sufficient to answer the question.

5) if you cannot get the answer from the statements A and B together, but need even more data.

1. What is a three-digit number?

(A) The three-digit number is an exact multiple of 19.

(B) The first and the third digit are 7 and 9 respectively.

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2. What is the age of T in the group of P, Q, R, S and. T whose average age is 55 gears?

(A)The average age of P and Q is 65 years.

(B)The average age of R and S is 60 years.

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3. How many women can complete a piece of work in 25 days?

(A)35 women can complete the same piece of work in 15 days.

(B)25 men complete the same piece of work in 15 days.

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4. What is the age of Sandeep?

(A)Sandeep is two times younger than Ramesh.

(B)Suresh's age is four times that of Ramesh.

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5. What is the perimeter of a semicircle?

(A)The radius of the semi-circle is equal to half the side of a square.

(B)The area of the square is 169 sq cm.

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Directions (Q. 6-10): What will come in place of question mark (?) in the following questions?

6. (42)^2 - (38)^2 - (17)^2= ? / 0.1

1) 4.1

2) 3.1

3) 5.1

4) 6.1

5) None of these

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7. 702 ÷ 27 + 108 x 0.75 = ?

1) 79

2) 89

3) 98

4) 107

5) 99

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8. 348 x 9 x ? = 37584

1) 11

2) 12

3) 14

4) 16

5) None of these

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9. 1234.131-93.12 -431.1 -?= 8.432

1) 411.072

2) 369.497

3) 701.479

4) 356.479

5) 405.521

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10. (54% of 3845) - (36% of 2755) = ?

1) 1340.65

2) 1284.5

3) 1084.5

4) 1410.75

5) 1348.5

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Quantitative Aptitude - 9

Q.1. The ratio between the present age of Ajay and Vijay is 5:6 and Sanjay is 6 years younger than Vijay and 4 years elder than Ajay then, find the ratio between the age of Ajay and Sanjay?

(1) 5:9

(2) 25:27

(3) 5:7

(4) 30:37

(5) none of these

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Q.2. A and B started a business with a capital of Rs.20000 and Rs.25000 respectively. After 7 months C joined them with a capital of 50000. If the business recorded a profit of 1, 58, 000/- then find the ratio between the share of C in the total profit of the company?

(1)Rs. 58000

(2) Rs.54000

(3) Rs.50000

(4) Rs.48000

(5) Rs. 47000

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Q.3. If a person buys 20 oranges at 5 for Rs.4 and sells them at the rate of 4 for Rs. 4 then what is the profit or loss percent?

(1) 56.25% profit

(2) 25% profit

(3) 20% loss

(4) 22% loss

(5) 28% profit

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Q.4. 5 men or 12 boys can do a piece of work in 20 days. If 12 men start the work and after 5 days all the men should be replaced by some boys so that the work is completed in 8 more days, now find the ratio of the number of men to the number of boys replaced?

(1) 1:1

(2) 1:2

(3) 1:3

(4) 2:3

(5) 3:4

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Q.5. The average score of a bats man rises by 3 runs when then he scores a total of 91 runs in the thirteenth innings. Find the average score of the bats for 13 innings?

(1) 52 runs

(2) 51 runs

(3) 53 runs

(4) 54 runs

(5) 55 runs

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Q.6. Solve for x, if 25% of x = 27% of 510 + 39% of 690

(1) 1627.25

(2) 1627.235

(3) 1627.00

(4) 1627.20

(5) 1672.25

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Q.7. What comes in place of “?”

14 39 88 ? 378

(1) 209

(2) 198

(3) 229

(4) 171

(5) 278

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Q.8. In a class test, the average number of questions attempted by a class is 48. If the average number of questions attempted by boys 65 and the average number of questions attempted by girls is 39, then find the ratio of the number of girls to that of the number of boys?

(1) 9:17

(2) 17:9

(3) 15:17

(4) 14:17

(5) 4:1

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Q.9. Find the probability of getting heads on both the coins if one coin is tossed twice?

(1) 1/2

(2) 1/4

(3) 3/4

(4) 2/3

(5) None of these

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Q.10. Three pipes A, B and C can fill a tank in 10 min, 12min and 15 min. respectively. If all the three simultaneously then how many times tank will fill the tank ?

(1) 4 minute

(2) 5 minute

(3) 6 minute

(4) 7 minute

(5) None of these

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Quantitative Aptitude - 8

1.If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other?

a.34
d.77
c.12
d.45
e.None of these

2.Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm?

a.45cm
b.255cm
c.244cm
d.55cm
e.None of these

3. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively?

a.125
b.127
c.129
d.131
e.None of these

4.Find the largest number which divides 62,132,237 to leave the same reminder?

a.30
b.32
c.35
d.45
e.None of these

5. Find the largest number of four digits which is exactly divisible by 27,18,12,15?

a.9700
b.9710
c.9720
d.9730
e.None of these

6. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is?

a.10:28 am
b.10:30 am
c.10:31 am
d.10:35 am
e.None of these

7. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively?

a.19
b.17
c.13
e.9
e.None of these

8.If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.?

a.2574
b.2500
c.1365
d.1574
e.None of these

9. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is?

a.48
b.22
c.56
d.27
e.None of these

10. Find the LCM of?

2/3,4/6,8/27
a.2/27
b.8/3
c.2/3
d.8/27
e.None of these

Answers

1.(b)
2.(a)
3.(b)
4.(c)
5.(c)
6.(c)
7.(b)
8.(a)
9.(a)
10.(b)

Quantitative Aptitude - 7

1.Aditya bought a pen at 70% of the listed price. He sold it for Rs 350/- which was 20% more than the price he had bought for. What was the listed price?

(1) Rs 315.88
(2) Rs 320.48
(3) Rs 416.66
(4) Rs 461.66
(5) None of these

2.When the price of chair was reduced by 40%, the number of chairs sold increased by 80%, what was the effect on the sales rupees?

(1) 8% increase
(2) 10% increase
(3) 8% decrease
(4) 10% decrease
(5) None of these

3.Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

(1) 39, 30
(2) 41, 32
(3) 42, 33
(4) 43, 34
(5) None of These

4.A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

(1) 588 apples
(2) 600 apples
(3) 672 apples
(4) 700 apples
(5) None of These

5.What percentage of numbers from 1 to 70 have squares that end in the digit 1?

(1) 1
(2) 14
(3) 20
(4) 21
(5) None of These

6.If A = x% of y and B = y% of x, then which of the following is true?

(1) A is smaller than B.
(2) A is greater than B
(3) Relationship between A and B cannot be determined.
(4) If x is smaller than y, then A is greater than B.
(5) None of these

7.In an examination it is required to get 36% of the aggregate marks to pass. A student gets 198 marks and is declared failed by 36 marks. What is the maximum aggregate marks a student can get?

(1) 550
(2) 650
(3) 480
(4) Cannot be determined
(5) None of these

8.The difference between 40% of a number 28% of the same number is 198. What is 64% of that number?

(1) 1122
(2) 1065
(3) 105
(4) 1023
(5) None of these

9.75% of a number is equal to three-seventh of another number. What is the ratio between the first number and the second number respectively?

(1) 7 : 4
(2) 5 : 7
(3) 4 : 7
(4) 6 : 7
(5) None of these

10.Anil gives his 35% of the money to his wife and gave 50% of the money to his sons. Remaining amount of Rs 11,250/- he kept with himself. What was total money he had?

(1) Rs 75,000
(2) Rs 70,000
(3) Rs 80,000
(4) Rs 85,000
(5) None of these

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Answers:

1-3
2-1
3-3
4-4
5-3
6-5
7-2
8-5
9-3
10-1

Quantitative Aptitude - 6

Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:

1) if x > y
2) if x >= y
3) if x < y
4) if x <= y
5) if x = y or relationship between x and y cannot be determined.

1.
I. 20x^2 + 73x + 63 = 0
II. 16y^2 + 16y + 3 = 0

2.
I. x^2 – 26x + 165 = 0
II. y^2 – 36y + 315 = 0

3.
I. 3x^2 – 32 x + 77 = 0
II. 2y^2 + 23y + 56 = 0

4.
I. 63x^2 + 71x + 20 = 0
II. 45y^2 + 52y + 15 = 0

5.
I. x^2 + 16x + 63 = 0
II. 6y^2 – 37y + 52 = 0

6. A fruit seller had some pineapples. He sells 30% of pineapples and still has 350 pineapples. Originally he had how many pineapples?

1) 480
2) 500
3) 400
4) 460
5) 450

7. P, Q and R hire a penthouse for Rs. 2250. If they used it for 8 hr, 10 hr and 12 hr respectively, the rent paid by R will be:

1) Rs. 800
2) Rs. 950
3) Rs. 900
4) Rs. 850
5) Rs. 1000

8. Two pipes can fill a tank in 20 hrs and 24 hrs respectively. A third pipe can empty the tank in 40 hours. If all the three pipes are opened and function simultaneously. Then, in how much time the tank will be full?

1) 10 hrs
2) 15 hrs
3) 16 hrs
4) 12 hrs
5) 18 hrs

9. 15 times A is equal to 10 times B. If 10 is subtracted from B it is 22 less than 3 times of A. What is the sum of A and B?

1) 10
2) 20
3) 24
4) 18
5) 28

10. A train covers 450 km in 6 hours. The speed of bike is half of the speed of train. How much time will the bike take to cover the distance of 300km?

1) 6 hr
2) 7.5 hr
3) 7 hr
4) 10 hr
5) 8 hr

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Answers:

1. 3;
I. 20x^2 + 45x + 28x + 63 = 0
(5x + 7) (4x + 9) = 0
x = -7/5, 9/4

II. 16y^2 + 12y + 4y + 3 = 0
(4y +1) (4y +3) = 0
y = -1/4, -3/4
x < y

2. 4;
I. x^2 – 15x – 11x + 165 = 0
or, (x – 11) (x – 15) = 0
or, x = 11, 15
II. y2 – 21y – 15y + 315 = 0
or, (y – 15) (y – 21) = 0
or, y = 15, 21
x <= y

3. 1;
I. 3x^2 – 21x – 11x + 77 = 0
or, (3x – 11) (x – 7) = 0
x = 11/3, 7

II. 2y^2 + 16y + 7y + 56 = 0
or, (2y + 7) ( y + 8) = 0
y = -7/2,–8
x > y

4. 5;
I. 63x^2 + 35x + 36x + 20 = 0
(7x +4) (9x + 5) = 0
x = -4/7, -5/9

II. 45y^2 + 27y + 25y + 15 = 0
(9y + 5) (5y + 3) = 0
y = -5/9, -3/5
No relationship between x and y exists

5. 3;
I. x^2 + 9x + 7x + 63 = 0
(x + 7) (x + 9) = 0
x = –7, –9

II. 6y^2 – 24y – 13y + 52 = 0
(6y – 13) ( y – 4 ) = 0
y = 13/6, 4
x < y

6. 2;
Let the total number of pineapple be x
70/100 x = 350
x = 350 * 100/70 = 500

7. 3;
Ratio of their uses = 8 : 10 : 12 = 4 : 5 : 6
Rent paid by R = 6/15 * 2250 = Rs. 900

8. 2;
Part of tank filled in 1 hour
1/20 + 1/24 - 1/40 = 15
Thus, required time for the tank to be filled = 15 hrs.

9. 2;
15 A = 10 B
3A = 2B
Now, B – 10 = 3A – 22
or, B – 10 = 2B – 22 or, (Put 3A = 2B)
or, B = 12
A = 2*12/3 = 8
Required sum = 20

10. 5;
Speed of train = 450/6 = 75 km/hr
Speed of bike = 75/2 = 37.5 km/hr
Time taken by bike = 300/37.5 = 8 hour

Quantitative Aptitude - 5

(1) The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

1. 58
2. 48
3. 30
4. 20

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(2) The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

1. 17 : 18
2. 8 : 9
3. Cannot be determined
4. 21 : 22

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(3) A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is

1. 4:5
2. 9:5
3. 8:5
4. 9:2

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(4) How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

1. 36 kg
2. 42 kg
3. 54 kg
4. 63 kg

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(5) 8 litres are drawn from a cask full of wine and is then filled with water.This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

1. 18 litres
2. 24 litres
3. 32 litres
4. 42 litres

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(6) The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

1. Rs. 2000
2. Rs. 2200
3. Rs. 2400
4. Data inadequate

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(7) Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

1. 10
2. 15
3. 12
4. 20

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(8) In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

1. 67 kg.
2. 68 kg.
3. 69 kg.
4. Data inadequate

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(9) A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

1. 26 minutes and 18 seconds
2. 42 minutes and 36 seconds
3. 45 minutes
4. 46 minutes and 12 seconds

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(10) There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

1. Rs. 2160
2. Rs. 3120
3. Rs. 3972
4. Rs. 6240

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Quantitative Aptitude Test - 4

Shared by:
Suji

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Q.1-5. Study the following graph carefully and give the answer:

Q.1. What is the respective ratio between number of tickets sold in auditorium B of drama P to auditorium B in drama Q?
[1] 2:3
[2] 3:4
[3] 1:2
[4] 3:5
[5] 4:5

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Q.2. What is the difference between no. of sold tickets of Auditorium A to auditorium B?

[1] 180
[2] 170
[3] 150
[4] 160
[5] 140

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Q.3. What is the average number of sold tickets of drama T and drama S in auditorium B?

[1] 360
[2] 320
[3] 300
[4] 340
[5] 350

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Q.4. What is the total No. of sold tickets of drama Q and Drama R together in auditorium A&B both?

[1] 1050
[2] 1200
[3] 1250
[4] 1350
[5] 1300

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Q.5. What is % of total No. of sold tickets in auditorium A of drama T to total No. of sold tickets in auditorium A of drama P?

[1] 220
[2] 200
[3] 210
[4] 190
[5] 180

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Shared by:
Ganesh Pawar

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1. 16, 40, 100, 250, 630

1) 630
2) 100
3) 250
4) 40
5) 16

16 * 5/2 = 40
40 * 5/2 = 250
250 * 5/2 = 625 not equal to 630

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2. 21, 48, 162, 969, 7748

1) 7748
2) 21
3) 969
4) 48
5) 162

The series is:
21 × 2 – 1 = 41 not equal to 48
41 × 4 – 2 = 162
162 × 6 – 3 = 969
969 × 8 – 4 = 7748
Hence, there should 41 in place of 48.

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3. 118, 239, 96, 264, 68, 293

1) 293
2) 264
3) 96
4) 68
5) 239

The series is:
118 + (11)^2 = 239
239 – (12)^2 = 95 not equal to 96
95 + (13)^2 = 264
264 – (14)^2 = 68
68 + (15)^2 = 293
Hence there should be 95 in place of 96.

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4. 128, 320, 1120, 5040, 27720, 180190

1) 27720
2) 5040
3) 320
4) 1120
5) 180190

The series is
128 * 5/2 = 320
320 * 7/2 = 1120
1120 * 9/2 = 5040
5040 * 11/2 = 27720
27720 * 13/2 = 180180 not equal to 180190

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Quantitative Aptitude Test - 3

1. A 280 metre long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?

(a) 5 m/s
(b) 8 m/s
(c) 12 m/s
(d) Cannot be determined

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2. The compound interest on a certain sum of money for 20 years at 10% per annum is Rs. 420. Find the simple interest at the same rate and for the same time.

(a) Rs. 400
(b) Rs. 500
(c) Rs. 450
(d) Rs. 550

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3. A jar contains a mixture of 2 liquids A and B in the ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. How many litres of the liquid A was contained in the jar?

(a) 17 litres
(b) 16 litres
(c) 18 litres
(d) 15 litres

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4. Two men X and Y working separately can mow the field in 8 and 12 hrs respectively. If they work in stretches of one hour alternately, X beginning at 9a.m., when will the mowing be finished?

(a) 6p.m
(b) 15/2pm
(c) 7p.m
(d) 13/2pm

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5. In what time would a cistern be filled by three pipes whose diameters are 1cm, 11/3cm, 2cm, running together, when the largest alone will fill it in 61minutes, the amount of water flowing in by each pipe being proportional to the square of its diameter?

(a) 36 minutes
(b) 37minutes
(c) 38 minutes
(d) 35minutes

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6. Work done by A in one day is half of the work done by B in one day. Work done by B is half of the work done by C in one day. If C alone can complete the work in 7 days, in how many days will A, B and C together will complete the work?

(a) 28
(b) 14
(c) 4
(d) 21

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7. Three times a number is 20% more than twice another number when increased by 105. If twice the first number increased by 36 is 20% less than three times of the second number, then what is the first number?

(a) 150
(b) 162
(c) 180
(d) None of these

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8.The simple interest accrued on an amount of Rs. 25,000 at the end of three years is Rs. 7,500. What would be the compound interest accrued on the same amount at the same rate in the same period?

(a) Rs. 7,750
(b) Rs. 8,275
(c) Rs. 8,500
(d) Rs. 8,250

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9. Aman won a competition and so he got some prize money. He gave Rs. 2000 less than the half of prize money to his son and Rs. 1000 more than the two third of the remaining to his daughter. If both they got same amount, what is the prize money Aman got?

(a) 20000
(b) 25000
(c) 26000
(d) None of these

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10. The stream of a boat when travelling downstream is 32 km/hr, whereas when travelling upstream it is 28km/hr. what is the speed of boat in still water?

(a) 27km/hr
(b) 30km/hr
(c) 31km/hr
(d) Cannot be determined

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Answers with solutions :

1.(b)
Speed of train = 108km/hr= (108*5/18) m/sec
If the length of the platform be x meters, then
x+280/12 =30
x+ 280 = 360
x=(360-280)=80
then 80/10 = 8 m/s

2.(a)

3.(b)

4.(d)

5.(a) In one minute the pipe of 2cm diameter fills 1/61 of the cistern.
In one minute the pipe of 1cm diameter fills 1/61* 1/4 of the cistern
In one minute the pipe of 11/3 cm diameter fills 1/61* 4/9 of the cistern
In one minute (1/61+1/(61*4)+4/(61*9))=1/36 of the cistern is filled.
The whole cistern is filled in 36 minutes

6.(c)Work done by C in one day = 1/7
Work done by B in one day = 1/2*1/7=1/14
Work done by A in one day = 1/2*1/14=1/28
Work done by A, B and C in one day = 7/28=1/4

7.(b) Let the two numbers be x and y.
3x = 1.2( 2y +105)
3x = 2.4y +126 ………………..(1)
2x +36 = 0.8(3y)
2x +36 =2.4y ………………..(2)
x = 162

8.(b)

9.(c) Assume Aman got x rupees.
He gave x/2 - 2000 to his son.
And 2/3 ( x/2 + 2000 ) + 1000 to his daughter.
x/2 - 2000 = x/3 + 7000/3
x = 26000

10.(b)
Speed of boat in still water= 1/2(32+28)=60/2=30km/hr

Quantitative Aptitude Test - 2

Q.1 Rs. 436563 is distributed equally among 69 persons. How much amount did each person get?

(1) Rs. 5943
(2) Rs. 6327
(3) Rs. 6148
(4) Rs. 5876
(5) None of these

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Q.2 Veena invests Rs. 72318 in mutual fund, which is 17% of his annual income. What is her monthly income?

(1) Rs. 33600
(2) Rs. 32990
(3) Rs. 35450
(4) Rs. 28980
(5) None of these

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Q.3-5.Read the following information carefully and answer the questions given below. A bag contains 2 green, 4 red, 5 black and 1 white ball.

Q.3 If 2 balls are drawn randomly, what is the probability that both are green?

(1) 1/66
(2) 1/10
(3) 1/12
(4) 1/45
(5) None of these

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Q.4 If 4 balls are drawn randomly, what is the probability that none is black?

(1) 7/99
(2) 5/99
(3) 7/12
(4) 5/12
(5) None of these

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Q.5. If 3 balls are drawn randomly, what is the probability that two are black and 1 is red?

(1) 9/22
(2) 6/19
(3) 1/6
(4) 2/11
(5) None of these

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Q.6 The average speed of a train is 10/3 times of the average speed of a tractor. The tractor covers a distance of 990 km in 15 hours. What distance will be covered by train in 9 hours?

(1) 1820 km
(2) 1980 km
(3) 1920 km
(4) 1800 km
(5) None of these

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Q.7 What is the product of 858 and 781?

(1) 681048
(2) 670098
(3) 671048
(4) 670189
(5) None of these

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Q.8 The ratio of present ages of father and son is 5:2. The difference of their ages is 13.5 years. What will be the ratio of their ages after 8 years?

(1) 60 : 38
(2) 48 : 17
(3) 61 : 34
(4) 34 : 61
(5) None of these

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Q.9 If a boat goes 18 km upstream in 32 minutes and the speed of the stream is 3.25 kmph. What is its speed downstream? (In kmph)

(1) 42.25
(2) 36.25
(3) 37.25
(4) 50
(5) 25

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Q.10 In a school, 60% of the students pass in Maths, 50% in English, and 30% fail in both. What% of students passes in both?

(1) 30
(2) 32
(3) 37
(4) 40
(5) 25

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Quantitative Aptitude Test - 1

Q.1. A grocer mixed sugar at Rs.12 per kg with sugar at Rs. 9 per kg in a certain ratio and sold the mixture at Rs. 11 per kg to have a gain of 1/8th of his total investment. The ratio of two types of sugar in the mixture is-

(A) 7 : 20
(B) 9 : 12
(C) 1 : 2
(D) 3 : 4

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Q.2. Rs. 53 are divided among A, B, C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. Ratio of their shares is-

(A) 5: 3: 1
(B) 25 : 18 : 10
(C) 9: 7: 3
(D) 30 : 16 : 13

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Q.3. The ratio of speeds of two trains, one travelling at 45 km/hour and the other at 10m/sec. is

(A)5 : 4
(B) 2 : 3
(C) 3 : 4
(D) 4 : 3

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Q.4. In 6 days of a week, 250 boys attended for the first four days and 260 boys for the last three days. The average attendance in this week is 255. The number of students present on Thursday was-

(A) 260
(B) 250
(C) 240
(D) 280

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Q.5. By what least number 25 × 20 × 9 × 12 × 30 should be multiplied to make it a perfect square number?

(A) 5
(B) 4
(C) 3
(D) 2

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Q.6. Three taps can fill a cistern in 18 minutes, 15 minutes and 10 minutes respectively. The cistern being empty, all the three taps are kept open. After 3 minutes, the first tap is closed. Counting time from that moment, the cistern will be full in

(A) 5 minutes
(B) 1 minute
(C) 3 minutes
(D) 2 minutes

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Q.7. A can do a piece of work in 4 days, B in 12 days and C in 6 days. If A is assisted by both B and C on every third day, the total work can be done in-

(A) 6 days
(B) 3 days
(C) 5 days
(D) 4 days

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Q.8. A piece of wire is in the shape of an equilateral triangle, each of whose sides is 4.4 cm. If it is re-bent to form a circular ring, the radius of the ring so formed is

(A) 5.1
(B) 3.2
(C) 2.1
(D) 1.5

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Q.9. If the ratio of the volumes of two right circular cones is 2: 3 and the ratio of the radii of their bases is 1: 2, then the ratio of their heights will be-

(A) 3 : 4
(B) 8 : 3
(C) 4 : 3
(D) 3 : 8

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Q.10. A tradesman marks his goods 30% more than the cost price. If he allows a discount of 20% on the marked price, then his gain percent is-

(A) 15
(B) 10
(C) 6
(D) 4

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