PSC MODEL QUESTION - 11

PSC MODEL QUESTION - 11

• The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

A.) 30

B.) 40

C.) 38

D.) 48

Answer: Option 'B' ✅

Let the numbers be 2x and 3x.

Then, their L.C.M. = 6x

So, 6x = 48 or x = 8

The numbers are 16 and 24.

Hence, required sum = (16 + 24) = 40 ✅

• The sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq.m. Find the perimeter of rectangle.

A.) 120 m

B.) 121 cm

C.) 121 m

D.) None of these

Answer: Option 'C' ✅

Let 6x and 5x be sides of the rectangle

6x × 5x = 1331

11x^2 = 1331

x^2 = 1331/11 = 121 = x = 11

Length = 6x = 6 × 11 = 66

Breadth = 5x =5 × 11 = 55

Perimeter = 2 (l+b)
= 2 (66+55) = 121 m 

• The sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq.m. Find the perimeter of rectangle.

A.) 120 m

B.) 121 cm

C.) 121 m

D.) None of these

Answer: Option 'C' ✅

Let 6x and 5x be sides of the rectangle

6x × 5x = 1331

11x^2 = 1331

x^2 = 1331/11 = 121 = x = 11

Length = 6x = 6 × 11 = 66

Breadth = 5x =5 × 11 = 55

Perimeter = 2 (l+b)
= 2 (66+55) = 121 m ✅

 ✅