In a certain pattern, if 38 * 15 = 32, 62 * 91 = 7 and 74 * 81 = 29, then in…

2023

In a certain pattern, if 38 * 15 = 32, 62 * 91 = 7 and 74 * 81 = 29, then in the same pattern the value of 47 * 33 is :

  1. A.

    40

  2. B.

    41

  3. C.

    38

  4. D.

    53

Attempted by 10 students.

Show answer & explanation

Correct answer: B

In a coded-operation or “pattern” reasoning question, the given equations define a fixed hidden rule linking the two numbers in each pair to the stated result. The rule must be identified by testing an operation (such as digit reversal combined with addition or subtraction) against every given example at once — a rule that fits only one example is coincidental, not the actual pattern — and only then applied to the unknown pair.

  1. For 38 and 15: reversing the digits gives 83 and 51; subtracting the second from the first, 83 − 51 = 32, which matches the given result.

  2. For 62 and 91: reversing the digits gives 26 and 19; 26 − 19 = 7, which again matches the given result.

  3. For 74 and 81: reversing the digits gives 47 and 18; 47 − 18 = 29, matching the third given result.

  4. Applying the same rule to 47 and 33: reversing the digits gives 74 and 33; 74 − 33 = 41.

Because reversing both numbers and subtracting the second reversed value from the first reproduces all three given results exactly — with no exception — the rule is confirmed rather than coincidental, so it can be trusted for the unknown pair.

The value of 47 * 33 in this pattern is 41.

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