Match List I with List II:

List I

i.The number of integer solutions of 2x^2 - x - 1 = 0

ii.The number of integer solutions of x^2 - 5x + 6 = 0

iii.The number of positive integer solutions of

iv.4

v.=

vi.3

vii.+ 1

viii.The number of integer solutions of

9.X + 1

10.= x

List II

a.0

b.1

c.2

d.3

Ai-d, ii-b, iii-a, iv-c

Bi-b, ii-a, iii-c, iv-d

Ci-a, ii-b, iii-c, iv-d

Di-b, ii-c, iii-d, iv-a ✓ Correct

Correct answer: (D) i-b, ii-c, iii-d, iv-a

Explanation

The correct match is i-b, ii-c, iii-d, iv-a.

2x^2 - x - 1 = 0 factors as (2x + 1)(x - 1); only x = 1 is integer, count 1 (b).

x^2 - 5x + 6 = 0 gives x = 2, 3; two integer solutions, count 2 (c).

x - 4	=	x - 3	+ 1 holds for x <= 3; positive integers 1, 2, 3, count 3 (d).
x + 1	= x has no solution, count 0 (a).

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.