Question

If R is 6 years old and the absolute difference between the number of candies with S and T is 10, find the number of candies with P.

• A. 12
• B. 20
• C. 8
• D. None of these

Answer 1

The correct option is D None of these

Based on the question we can complete the grid as follows

$\begin{array}{cccccc}& 4& 5& 6& 8& 10\\ P& X& X& X& \sqrt{}& X\\ Q& X& X& X& X& \sqrt{}\\ R& X& X& \sqrt{}& X& X\\ S& \sqrt{}& X& X& X& X\\ T& X& \sqrt{}& X& X& X\end{array}$

It is given that |S-T|=10

$P=\frac{1}{3}[4+R]$

$T=\frac{R}{2}$

T= P+S

Let us go from answer options

1) If P=6, R=14

T=, S= T-P=1

$|S-T|\ne 10$

2) If P=12, R=32

T=16, S=4

$|S-T|\ne 10$

3) If P=20, R= 56,

T= 28, S=8

$|S-T|\ne 10$

4) If P=8, R=20,

T=10, S=2

$|S-T|\ne 10$

Hence, the answer is none of these