Q8. If P = +, Q = –, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4=20:
Detailed Solution
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.
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