In the given number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the number-pair in which the numbers are related in the same way as are the numbers of the given number-pairs.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(45, 88)

(26, 50)

The correct option is (22, 42).

To find the correct relationship, let us analyze the operation applied to the first number to obtain the second number in the given pairs:

Given Pair 1: (45, 88)

$45\times 2-2=90-2=88$

Given Pair 2: (26, 50)

$26\times 2-2=52-2=50$

Thus, the logic followed in the pairs is:

$\text{Second Number}=(\text{First Number}\times 2)-2$

Now, let us test the given options using this rule:

1) (15, 32):

$15\times 2-2=30-2=28\ne 32$

2) (21, 41):

$21\times 2-2=42-2=40\ne 41$

3) (22, 42):

This matches the given pattern.

4) (18, 36):

Therefore, the number-pair that relates in the same way is (22, 42).