If P = + , Q = - , R = × , S = ÷ , then insert the proper notations between the successive numbers in the equation 60\_ 15\_ 3\_ 20\_ 4 = 20 :
Reviewed by Dalvoy
UPSC Civil Services preparation
- ASPRQ
- BQRPSCorrect
- CQRSP
- DSPQR
Explanation
The problem requires us to substitute the given symbols for arithmetic operations into the equation and find which sequence of operations results in 20.
Given: P = +, Q = -, R = x, S = / (division)
Equation: 60 _ 15 _ 3 _ 20 _ 4 = 20
Let's test each option:
A) SPRQ: 60 / 15 + 3 x 20 - 4
4 + 60 - 4 = 60. (Incorrect)
B) QRPS: 60 - 15 x 3 + 20 / 4
Following BODMAS/PEMDAS:
1. 15 x 3 = 45
2. 20 / 4 = 5
3. So, 60 - 45 + 5
4. 15 + 5 = 20. (Correct)
C) QRSP: 60 - 15 x 3 / 20 + 4
60 - 45 / 20 + 4 = 60 - 2.25 + 4 = 61.75. (Incorrect)
D) SPQR: 60 / 15 + 3 - 20 x 4
4 + 3 - 80 = 7 - 80 = -73. (Incorrect)
Option B correctly solves the equation.
The final answer is B
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