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PYQ Question

If P = +, Q = –, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4=20:

If P = +, Q = –, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4=20:
  1. A. SPRQ
  2. B. QRPS
  3. C. QRSP
  4. D. SPQR

Answer: B

Explanation

This question requires substituting the given symbols for mathematical operations and then evaluating the expression using the order of operations (BODMAS/PEMDAS).
Given: P = +, Q = –, R = ×, S = ÷. Equation: 60_15_3_20_4 = 20.

Let’s test each option:
(a) SPRQ: 60 ÷ 15 + 3 × 20 – 4 = 4 + 60 – 4 = 60. (Incorrect)
(b) QRPS: 60 – 15 × 3 + 20 ÷ 4 = 60 – 45 + 5 = 15 + 5 = 20. (Correct)
(c) QRSP: 60 – 15 × 3 ÷ 20 + 4 = 60 – (45/20) + 4 = 60 – 2.25 + 4 = 61.75. (Incorrect)
(d) SPQR: 60 ÷ 15 + 3 – 20 × 4 = 4 + 3 – 80 = 7 – 80 = -73. (Incorrect)

Only option (b) results in 20, making it the correct answer. This question assesses basic arithmetic operations and the ability to follow a given set of rules, a common type in UPSC CSAT’s logical reasoning section.