Match each of the

(i) {-5, 5}

It can be seen that if we take the square of -5 and 5, the result will be 25

If x = -5, then (-5)² = 25

If x = 5, then (5)² = 25

and -5, 5 both are integers

So, {x : x ∈Z and x² = 25}

∴ (i) matches (c)

(ii) {1, 2, 3, 6, 9, 18}

Divisor of 18 are

18 = 18 × 1

18 = 9 × 2

18 = 6 × 3

1, 2, 3, 6, 9, 18 are divisors of 18

So, {x : x ∈ N and x is a factor of 18}

∴ (ii) matches (d)

(iii) {–3, –2, –1, 0, 1, 2, 3}

(-3)² = 9 < 16

(-2)² = 4 < 16

(-1)² = 1 < 16

(0)² = 0 < 16

(1)² = 1 < 16

(2)² = 4 < 16

(3)² = 9 < 16

All are the given elements are integers and satisfying x² < 16

So, (iii) matches (a)

(iv) {P, R, I, N, C, A, L}

There are 9 letters in the word PRINCIPAL out of which P and I are repeated.

So, {x : x is a letter in the word ‘PRINCIPAL’}

∴ (iv) matches (e)

(v) {1}

Since, 1 ∈ N and (1)² = 1

So, {x : x ϵ N and x² = x}

∴ (v) matches (b)