SSC GD 2023 PYQ — Question 47

SSC GD Constable (English) - 2 Feb 2023 - Shift 1 • Quantitative Aptitude • Q47

If the third proportional to 8 and 24 is 'A' and the mean proportional of 4 and 16 is 'B', then the value of AB\frac{A}{B} is:

Show answer & explanation

Correct answer: D

Explanation

The Correct answer is Option 4 i.e. 9.

Concept used:

Third proportional of a and b = b2/a

Mean proportional of a and b = √ab 

Calculations:

Now, 

The third proportion of 8 and 24 = A = (24)2/8

= (24 × 24)/8 = 24 × 3 = 72

The mean proportional of 4 and 16 = B = √(16 × 4)

= √64 = 8

The value of AB\frac{A}{B} = 728\frac{72}{8} = 9