JAMIA 2022 — Reasoning PYQ

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Question

JAMIA 2022 — Reasoning PYQ

JAMIA | Reasoning | 2022

If 213 = 419, 322 = 924, 415 = 16125; then 215 = ?

Choose the correct answer:

Explanation

1. Pattern Analysis

By examining the given examples, we can see the following logic:

The first digit is squared.
The second digit remains as it is.
The third digit is squared.

Verification:

For 213:

$2^2 = 4$

$1 = 1$

$3^2 = 9$

Result: $419$
For 322:

$3^2 = 9$

$2 = 2$

$2^2 = 4$

Result: $924$
For 415:

$4^2 = 16$

$1 = 1$

$5^2 = 25$

Result: $16125$

2. Solving for 215

Applying the same logic to the number $215$ :

First digit (2):

$2^2 = 4$
Second digit (1):

$1 = 1$
Third digit (5):

$5^2 = 25$

Final Answer

Combining the results ( $4, 1, 25$ ):

\text{215} = \text{4125}