Two numbers A and B are given What is A + B ? (i) LCM of A and B is 44 times…
2018
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) A/10 + B/10 is an integer.
(iv) A + B > 150
Which of the given statements are redundant to find the answer of the question.
- A.
statement (ii)
- B.
statement (iii)
- C.
statement (iv)
- D.
statement (i)
- E.
Answer cannot be determined even after using all the statements.
Attempted by 4 students.
Show answer & explanation
Correct answer: E
Let HCF = h and LCM = 44h. From statement (ii), 45h = 540, so h = 12 and LCM = 528. The coprime factor pairs with product 44 can give different sums, such as 540 and 180, and the remaining statements do not identify a unique sum. Therefore the answer cannot be determined even using all statements.