Question

8. The ages of Ram and Shyam are in the ratio 7:6 and the sum of their ages is 78 years.

Find the age of Ram and Shyam respectively (in years).

1) 36, 43 2) 42, 36 3) 30, 48 4) 40, 38

9. If a:b = 2:5, then find the value of (3a+2b)/(4a+b).

1) 16/13 2) 13/16 3) 25/22 4) 20/21

10. Find the third proportional of 3 and 27.

1) 243 2) 256 3) 289 4) 225

11. If 25 14 8

,

5 7 3

p q

p q







then find p:q.

1) 3:5 2) 2:3 3) 2:5 4) 5:4

12. If a:b = 4:5 and b:c = 2: 3, then a:c = _______ .

1) 4:3 2) 8:15 3) 8:9 4) 5:3

13. If a=2b, then a:b = _____

1) 2:1 2) 1:2 3) 3:4 4) 4:3​

Answer 1

Answer:

Step-by-step explanation:

7x + 6x = 78

13x = 78

x = 78/13

x = 6

Age of Ram = 7 x 6 =42

Age of Shyam = 6 x 6 = 36

Answer 2

Answer

2

Solution

The ratio of ages of Ram and Shyam = 7:6.

Let the ages of Ram and Shyam be 7x years and 6x years, respectively.

Sum of their ages = 78

⇒7x+6x=78⇒13x=78

⇒x=6  

∴ Age of Ram=7×6=42 years

Age of Shyam=6×6=36 years

Hence, the correct option is (2).