Problems on Numbers - Quantitative Aptitude (MCQ) questions for Q. 21226

Q.  The product of two numbers is 266 and their difference is 5. What is the bigger number ?
- Published on 25 Apr 16

a. 13
b. 15
c. 19
d. 24
e. None of these

ANSWER: 19
 
Let the two numbers be A and B, here A > B
AB = 266
B = 266/A -----------------(I)
Given,
A – B = 5 ----------- (II)
Substitute from (I) in (II), we get
A – 266/A = 5
A2 – 5A + 266 = 0
(A – 19)(A – 14) = 0
Therefore , A = 19 or A = 14
Hence, bigger number = A = 19

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