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NIMCET 2025 Paper

Section: Analytical Ability & Logical Reasoning

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Question : 68 of 120

Marks: +1, -0

A two-digit number has product of digits

=12

If 36 is added, the digits interchange.

What is the number?

26
38
25
24

Solution:

Let the two-digit number be

1 0 a + b

, where:

-

a=

tens digit

-

b=

units digit

-

a b=12

Possible digit pairs whose product is 12 :

-

(2,6) \rightarrow

number

=26

-

(6,2) \rightarrow 62

-

(3,4) \rightarrow 34

-

(4,3) \rightarrow 43

Now apply the condition:

If 36 is added, the digits interchange.

Test each:

-

26+36=62 \rightarrow

digits swapped ✓

-

34+36=70 \rightarrow

not swap

\;\text{ x }\;

-

43+36=79 \rightarrow

not swap ×

-

62+36=98 \rightarrow

not swap ×

Only 26 works.

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