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Aptitude · Q124

Number System

Competitive Exams · Aptitude · question 124

Q124

The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is:

A.
147
B.
528
C.
132
Answer
D.
264

Answer: Option C

Solution

Answer: Option C
Solution:
Given,
HCF = 44
LCM = 264
First Number = When divided by 2, the quotient is 44
So,
First Number = 2 × 44 = 88
Second number = N. (let).

Now, using formula,
HCF × LCM of two numbers = First number × Second number
44 × 264 = 88 × N
N = 132
Second Number = 132

NOTE :
Dividend = Divisor × Quotient + Remainder