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Vijay Mandawara

· started a discussion

· 1 Months ago

HCF WILL BE 66 (Question: 286826.0 )

Hcf will be changed

Question:

The HCF and LCM two numbers are 33 and 264, respectively. When the first number is devided by 2, the quotient is 33. The other number is ?

Options:
A)

66

B)

132

C)

198

D)

99

Solution:

Ans: (b)

  

Nitesh Kaushal

· commented

· 1 Months ago

Dear 'Knowledge expert',
You're absolutely wrong here. the question i wrong. There are no such numbers which have 33 as hcf and 264 as LCM
Let me explain you where you've messed up:
Let two numbers be 33a and 33b, Now,
33a x 33b = 33 x 264,
=> ab = 8.
You have messed up after this step. you took a= 2 and b=4.
But as per mathematics (whose expert you claim to be), a and b are co-prime numbers, and 2 and 4 are NOT co-primes.

So, you're question is wrong and u've fucked with the minds of aspirants yet again.

Knowledge Expert

· commented

· 1 Months ago

Dear student,

Please read the explanation carefully. given answer is correct.
Explanation-
Given HCF = 33 and LCM = 264
First number a = 2(33) = 66
Let the second number be b
the formula, LCM × HCF = a × b
264 × 33 = 66 × b
b = 264 × 33 / 66 = 132
The second number is 132.

Keep learning keep solving
Best wishes
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