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**START QUIZ**

Directions (1 - 5) Study the following

information carefully and answer the question given below.

Out of total number of students in a class 32% ofstudents only play cricket and 24% of students only play basket ball and 16% of students play only badminton. The ratio of students who only playb to the students who play only basket ball and badminton and only play cricket and badminton is

3: 1 and 4: 1 respectively. The number of students who play all the game and none of the game is 3 and13 respectively. The number of students who playonly cricket and basket ball is 25% of the students

who play only cricket.

1) Find the total number of students who play cricket and basket ball.

a) 128

b) 138

c) 118

d) 108

e) 148

2) The number of students who play all the game is what percentage of students who play only

cricket?

a) 12.5

b) 6.25

c) 25

d) 37.5

e) 18.75

3) Find the ratio of total number of students who play only badminton and play only basket ball and badminton to the number of students who doesn’t

play any game.

a) 17: 11

b) 16: 11

c) 32: 13

d) 15: 13

e) 24: 11

4) Find the average number of students who play only one game.

a) 48

b) 24

c) 60

d) 36

e) 7

5) Find the total number of students in the class.

a) 130

b) 120

c) 140

d) 170

e) 150

6) The ratio of speed of boat and current is 10 :1. The ratio of time taken to travel the distance “D " in downstream and D - 45 is 3 :2. Find distance D.

a) 125 km

b) 115 km

c) 90 km

d) 135 km

e) 60 km

7) A invest " x " and after 6 month B invest " x + 4000". The ratio of annual total profit and A’s profit

is 7 : 3 . Find X.

a) 1200

b) 1400

c) 3600

d) 2400

e) 4800

8) The simple interest on a certain sum for 7 years is (14/25)th of the sum. Find the rate of interest?

a) 12 %

b) 10 %

c) 8 %

d) 14 %

e) None of these

9) Seven years ago, the age of Karthika and the present age of Sanu is in the ratio of 3 : 4. After eight years, the age of Karthika and Sanu will be in the ratio of 15 : 14. Find the present age of Sanu?

a) 16 years

b) 20 years

c) 24 years

d) 28 years

e) None of these

10) If the radius of the circle is seven-ninth of side of the square. The perimeter of the square is 72 meter.

Find the area of the circle?

a) 784 Sq m

b) 652 Sq m

c) 616 Sq m

d) 736 Sq m

e) None of thes

Directions (1 - 5)

Let the total number of students in the class is 100x

Then,

Number of students only play cricket = 32/100 * 100x

= 32x

Number of students only play basket ball = 24/100 *

100x = 24x

Number of students only play badminton = 16/100 *

100x = 16x

The ratio of students who only play badminton to the

students who play only basket ball and badminton = 3:

1

Number of students who play only basket ball and

badminton = 16x/3 * 1 = 16x/3

The ratio of students who only play badminton to the

students who play only badminton and cricket = 4: 1

Number of students who play only badminton and

cricket = 16x/4 * 1 = 4x

The number of students who play only cricket and

basket ball = 25% * 32x = 8x

100x = 32x + 24x + 16x + 16x/3 + 4x + 8x + 3 + 13

100x = 84x + 16x/3 + 16

100x – 268x/3 = 16

x = 1.5

Total number of student = 100 * 1.5 = 150

Number of students only play cricket = 32 * 1.5 = 48

Number of students only play basket ball = 24 * 1.5 =

36

Number of students only play badminton = 16 * 1.5 =

24

Number of students who play only basket ball and

badminton = 16 * 1.5/3 = 8

Number of students who play only badminton and

cricket = 4 * 1.5 = 6

The number of students who play only cricket and

basket ball = 8 * 1.5 = 12

The number of students who doesn’t play any game

= 13

1) Answer: a)

Number of students who play cricket = 48 + 12 + 6 +

3 = 69

Number of students who play basket ball = 36 + 8 + 3

+12 = 59

Required sum = 69 + 59 = 128

2) Answer: b)

Required % = 3/48 * 100 = 6.25%

3) Answer: c)

Required ratio = (24 + 8): 13 = 32: 13

4) Answer: d)

Required average = (48 + 36 + 24)/3 = 36

5) Answer: e)

Total number of students = 48 + 36 + 24 + 12+ 6 + 8

+3 + 4 = 150

6) Answer: D

The ratio of speed of boat and current = 10 :1

Downstream speed = 10 + 1 = 11

Upstream speed = 10 -1 = 9

Downstream speed : Upstream speed = 11 : 9

Time ratio = 9: 11

The ratio of time taken to travel the distance “D " in

downstream and D - 45

= 3 : 2

Let

Time to travel D = 9 (from above ratio)

Time to travel D – 45 = 9/3 * 2 = 6h

Then the Distance D = 45/(9 - 6) * 9 = 135 km

7) Answer: D

The profit ratio =( x * 2) : x + 4000

2x/(3x + 4000) = 3/7

14x = 9x + 12000

5x = 12000

x = 2400

8) Answer: C

Explanation:

S.I = P*n*r /100

(14/25) * P = P * 7 * r/100

Rate of interest(r) = (14/25) * (100/7)

r = 8 %

9) Answer: B

Explanation:

The ratio of age of Karthika, 7 years ago and the present

age of Sanu

= 3 : 4 (3x, 4x)

Present age of Karthika and Sanu = 3x + 7, 4x

According to the question,

(3x + 7 + 8)/(4x + 8) = (15/14)

42x + 210 = 60x + 120

90 = 18x

x = 90/18 = 5

Present age of Sanu = 4x = 20 years

10) Answer: C

Explanation:

The perimeter of the square = 72 m

4a = 72

Side (a) = 18 m

Radius of the circle = (7/9)*18 = 14 m

Area of the circle = Ï€r2 = (22/7)*14*14 = 616 Sq m