Question

A sweet seller has 420 Kaju Burfis and 150 Badam Burfis. He wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. The number of such stacks formed is 

(A) 17 

(B) 19 

(C) 18 

(D) More than one of the above 

(E) None of the above

Answer 1

Correct option is (B) 19 

Soluion:

Given:

Kaju Barfi = 420

Badam Burfi = 150

Concept used:

HCF = Highest Common Factor

HCF of two or more numbers is the largest number that can divide each of the numbers without leaving a remainder.

Calculation:

Factors of 420 = 2 × 2 × 3 × 5 × 7 

Factors of 150 = 2 × 3 × 5 × 5

HCF(420, 150) = 2 × 3 × 5 = 30

The number of such stacks formed is 30.

Number of stacks = 420/30 + 150/30 = 14 + 5 = 19

∴ The correct answer is 19.