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Aptitude · Q143

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 143

Q143

The number of pairs of positive integers whose sum is 99 and HCF is 9 is = ?

A.
5
Answer
B.
2
C.
3
D.
4

Answer: Option A

Solution

Answer: Option A
Solution:
According to question,
HCF = 9
⇒ Then the two number will be 9a, 9b
⇒ 9a + 9b = 99
⇒ a + b = 11
⇒ Pairs of positive integer (1, 10) (2, 9) (3, 8) (4, 7) (5, 6) = 5