The product of two integers p and q where p gt 60 and q gt 60 is 7168 and their HCF is 16 The sum of...........

Quantitative Aptitude (CDS) LCM, HCF

The product of two integers p and q, where p > 60 and q > 60, is 7168 and their HCF is 16. The sum of these two integers is

256

184

176

164

छोटे Courses बड़े Results

Master LCM, HCF

Prepare through Micro-courses

Try Now

Explanation:

As 16 is their HCF, hence
Let P = 16x & q = 16y
P x Q = Product
16x * 16y = 7168
xy = 28
As HCF is 16, hence the sum of the two numbers must be a multiple of 16, this removes option (2) & (4)
Using option (a),
16x + 16y = 256
x + y = 16 & xy = 256
On solving,
X = 2 & y = 14
Thus, P = 16 x2 = 32, which is less than 60.
Using option (2), 16(x+y) = 176
= x + y = 1 & xy = 28
=> x = 4 & y = 7
P = 16 x 4 = 64 &
Q = 16 x 7 = 112 , Sum of P & Q = 64 +112 = 176