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If 'P' stands for 'x', 'Q' stands for '÷', 'R' stands for '-' and 'S' stands for '+', then the resultant of which of the following would be 57?
Question

If 'P' stands for 'x', 'Q' stands for '÷', 'R' stands for '-' and 'S' stands for '+', then the resultant of which of the following would be 57?

A.

(160 R 10) S (30 Q 2) S (16 Q 4) R 45

B.

(160 Q 10) S (30 P 2) R (16 P4) S 45

C.

(160 Q 10) R (30 Q 2) S (16 P4) R 45

D.

(160 Q 10) R (30 P 2) R (16 Q 4) S 45

Correct option is B

Given: 
P' stands for 'x'
'Q' stands for '÷',
'R' stands for '-'
'S' stands for '+',
​​​
Let's check all the options: 
Option (a): (160 R 10) S (30 Q 2) S (16 Q 4) R 45
(160 - 10) + (30 ÷ 2) + (16 ÷ 4) - 45
? = (160 - 10) + 15 + 4 - 45
? = 150 + 15 + 4 - 45
? = 169 - 45
124 ≠ 57
It is incorrect.
Option (b): (160 Q 10) S (30 P 2) R (16 P4) S 45
(160 ÷ 10) + (30 × 2) - (16 × 4) + 45
16 + 60 - (16 × 4) + 45
16 + 60 - 64 + 45
16 + 60 + 45 - 64 
121 - 64
57 = 57
we get the resultant of which of the following would be 57 in the option b
Thus, the correct option is (b).

 
​

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