Two numbers A and B are given What is A B i LCM of A and B is 44 times their HCF ii The sum of LCM o...........

Quantitative Aptitude(IBPS PO) LCM, HCF

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Two numbers A and B are given What is A + B ?

(i) LCM of A and B is 44 times their HCF

(ii) The sum of LCM of A & B and their HCF is 540.

(iii) ??/10+??/10 is an integer.

(iv) A + B > 150

Which of the given statements are redundant to find the answer of the question.

statement (ii)

statement (iii)

statement (iv)

statement (i)

All are redundant.

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Explanation:

From (i) & (ii),
Let, HCF be x
Then, LCM is 44x
44x + x = 540
x = 540/45 = 12
From (iii), A + B = 10K
Let, A = 12a & B = 12b
Then A + B = 12 (a + b), where a & b are co-prime.
Also, a × b = 44
Possible values of a and b are (4, 11) or (1, 44)
Sum of A + B = 12 (4 + 11) = 180
Or A + B = 12 (1 + 44) = 540
So, given question can’t be answered even after including all the statements.