UPPSC PCS - 2018
In a code, if 41 - 32 = 55 42 – 34 = 76 53 – 13 = 48 Then 33 – 22 is
Year Asked: 2018
Correct Answer
C. 46
Detailed Explanation
The code works on digit sums. Add the digits of the first number, add the digits of the second number, then write the second sum first, followed by the first sum. Check: 41 gives 4+1=5 and 32 gives 3+2=5, so 41-32=55. For 42-34, 42 gives 6 and 34 gives 7, so the answer is 76 (7 then 6). For 53-13, 53 gives 8 and 13 gives 4, so 48. The rule holds for all three examples.
Apply it to 33-22. The digits of 33 sum to 6, and the digits of 22 sum to 4. Write the second sum first: 4, then 6, giving 46. Option C is correct.
- A) 11 would need both sums to be 1, which no part of the question produces.
- B) 44 uses the sum of 22 twice and ignores the sum of 33.
- D) 64 writes the sums in normal order instead of reversing them, which breaks the pattern shown in the examples.
The core concept is digit-level coding, a form of pattern recognition that aspirants use in reasoning and aptitude questions. Test each hypothesis against all given examples before you commit.
Trap: Aspirants often stop at the first working pattern, or they match the answer by order without checking whether the sums are reversed.
This question appeared in UPPCS 2018 CSAT Paper.
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