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If ‘P’ stands for ‘÷’, ‘Q’ stands for ‘×’, ‘R’ stands for ‘+’ and ‘S’ stands for ‘−’, then the resultant of which of the following would be 38?​
Question

If ‘P’ stands for ‘÷’, ‘Q’ stands for ‘×’, ‘R’ stands for ‘+’ and ‘S’ stands for ‘−’, then the resultant of which of the following would be 38?​

A.

32 Q 8 R 30 S 16 P 4

B.

32 S 8 R 30 Q 16 P 4

C.

32 P 8 S 30 R 16 Q 4

D.

32 R 8 S 30 Q 16 P 4

Correct option is C

Given:
Alphabet 

P

Q

R

S

Sign

÷

×

+

Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline \end{array} ​​

Option (A):
32 Q 8 R 30 S 16 P 4
= 32 × 8 + 30 − 16 ÷ 4
= 32 × 8 + 30 – 4
= 256 + 30 − 4
= 286 − 4
= 282 (Incorrect)
Option (B):
32 S 8 R 30 Q 16 P 4
= 32 − 8 + 30 × 16 ÷ 4
= 32 − 8 + 30 × 4
= 32 − 8 + 120
= 152 – 8
= 144 (Incorrect)
Option (C):
32 ÷ 8 − 30 + 16 × 4
=4 − 30 + 16 × 4
= 4 − 30 + 64
= 68 – 30
= 38 (Correct)
Option (D):
32 R 8 S 30 Q 16 P 4
= 32 + 8 − 30 × 16 ÷ 4
= 32 + 8 − 30 × 4
=32 + 8 – 120
= 40 -  120
= -80 (Incorrect)
​Thus, correct option is (c).

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