**1. Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of first and second added to the difference of third and second is 21.**

**2. The ratio of the incomes of Chetan and Dinesh is 3:4 .The ratio their expenditures is 5 :7.If both save Rs. 2000,Find the incomes of both.**

**3. There are three numbers,6 times the first and seven times the second are equal.5 times the second and 6 times the third are also equal .If the first number is 20 more than the third ,find the third number.**

**4. A bag has coins of denominations of one-rupee, two-rupees and five-rupees in the ratio 9:6:4.If the total value of five-rupees coins is Rs. 32 more than the total value of two-rupee coins,find the total value of the coins in the bag.**

**5. If a:b = 2:1, b:c = 3:5, c:d = 4:5 and e:d is 6:5, then find a:b:c:d:e.**

**6.The ratio of number of males to number of females in a club is 7 : 4. If there are 84 males in the club, the total number of members in the club are:**

**7.The fourth proportional to 5, 6 and 150 is:**

**8.Two number are in the ratio of 3 : 5. If 9 be subtracted from each, they are in the ratio of 12 : 23. The first number is:**

**9.A map is drawn on the scale of 4 mm for each 16 km. Two places are shown on the map at the distance of 7.2 mm. How far away are they from each other?**

**10.If a 13 m-long iron rod weighs 23.4 kg, then what will be the weight of 6 m-long iron rod?**

1. (A)

Let the numbers be a,b and c.

Given that a,b and c are the ratio 3:2:4.

Let,a = 3x, b = 2x and c = 4x

Given,(a+b) + (c-b) = 21

=> a+b+c-b = 21

=> a + c = 21

=> 3x+4x = 21

=> x =3

so a,b and c are 9 , 6 and 12.

2.(B)

3.(C)

Let the first numbers ,second number and third number be denoted as a,b and c respectively.

6a = 7b => a = 7/6 b

5b = 6c => c = 5/6 b

a – c = 20 => 7/6 b – 5/6 b = 20

=> b = 60

c = 5b/6 = 50

4.(C)

Let the numberof coins of denominations of one-rupee, two-rupee and five-rupee be 9x,6x and 4x respectively .Total value of coins 4(5x) – 6(2X) = 32

x = 4

Total value of the coins in the bag

9x + 12x + 20x =

41x = Rs. 164

5.(B)

6.(B)

The Ratio of male and female = 7 : 4

Let no of male and female = 7x and 4x

no of male = 84

7x = 84

x = 12

so no of female = 4x = 48

So total no of members in the club are (84+48) = 132

7.(C)

8.(B)

Ratio of two numbers is 3:5

then, the first number is 3x and 5x

(3x-9)/(5x-9) = 12/23

69x – 207 = 60x – 108

x = 11

so first number is 3x = 33

9.(C)

10.(C)

Weight of 6 m-long iron rod = 23.4/13*6 = 10.8 kg