UPPSC PCS - 2016

If 30 + 40 = 1520 36 + 28 = 1814 40 + 20 = 2010 Then, 50 + 22 = ?

Year Asked: 2016

A
1125
B
1126
C
2511
D
2250

Correct Answer

C. 2511

Detailed Explanation

The correct answer is C) 2511. Each sum is written as a number pattern: take half of the first number and half of the second, then write the two halves side by side. For 30 + 40, half of 30 is 15 and half of 40 is 20, giving 1520. The same rule gives 18 and 14 for 36 + 28 (1814), and 10 and 20 for 40 + 20 (2010). For 50 + 22, half of 50 is 25 and half of 22 is 11, so the answer is 2511.

Why the others fail: A) 1125 reverses the order of the halves (11 before 25), which breaks the rule. B) 1126 keeps 11 right but uses the wrong first half. D) 2250 uses 25 and 22 without halving the second number.

The core concept is pattern recognition in symbol or number coding, a common Reasoning and Mental Ability item in the Prelims aptitude section. Test each candidate rule against all the given examples before trusting it, because a rule that fits only one example is not a rule.

Trap: Aspirants often spot that 2511 looks like a reversal of the first example and pick A without checking the rule on every given line. Always verify the pattern against all three examples.

This question appeared in UPPCS 2016 GS Paper 2.

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