Inequalities MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

Question No : 1

‘P $Q’ means ‘P is not smaller than Q’ ‘P @ Q’ means ‘P is neither smaller than nor equal to Q’ ‘P # Q’ means ‘P is neither greater than nor equal to Q’ ‘P & Q’ means ‘P is neither greater than nor smaller than Q’ ‘P * Q’ means ‘P is not greater than Q’ 1. statements: H @ T, T # F, F& E, E * V Conclusions: I. V$ F
II. E @ T
III. H @ V
IV. T # V

Only I II and III are true
Only I II and IV are true
Only II III and IV are true
Only I III and IV are true
All  I II III and IV are true

Question No : 2

‘P $Q’ means ‘P is not smaller than Q’ ‘P @ Q’ means ‘P is neither smaller than nor equal to Q’ ‘P # Q’ means ‘P is neither greater than nor equal to Q’ ‘P & Q’ means ‘P is neither greater than nor smaller than Q’ ‘P * Q’ means ‘P is not greater than Q’ • statements:: D # R, R * K, K @ F, F$ J

Conclusions:
I. J # R
II. J # K
III. R # F
IV. K @ D

Only I II and III are true
Only II III and IV are true
Only I III and IV are true
All  I II III and IV are true
None of these

Question No : 3

‘P $Q’ means ‘P is not smaller than Q’ ‘P @ Q’ means ‘P is neither smaller than nor equal to Q’ ‘P # Q’ means ‘P is neither greater than nor equal to Q’ ‘P & Q’ means ‘P is neither greater than nor smaller than Q’ ‘P * Q’ means ‘P is not greater than Q’ • statements: N & B, B$ W, W # H, H * M

Conclusions:
I. M @ W
II. H @ N
III. W & N
IV. W # N

Only I is true
Only III is true
Only IV is true
Only  either III or IV are true
Only either III or IV and I are true

Question No : 4

‘P $Q’ means ‘P is not smaller than Q’ ‘P @ Q’ means ‘P is neither smaller than nor equal to Q’ ‘P # Q’ means ‘P is neither greater than nor equal to Q’ ‘P & Q’ means ‘P is neither greater than nor smaller than Q’ ‘P * Q’ means ‘P is not greater than Q’ • statements: R * D, D$ J, J # M, M @ K

Conclusions:
I. K # J
II. D @ M
III. R # M
IV. D @ K

None is true
Only I is true
Only II is true
Only III is true
Only IV is true

Question No : 5

‘P $Q’ means ‘P is not smaller than Q’ ‘P @ Q’ means ‘P is neither smaller than nor equal to Q’ ‘P # Q’ means ‘P is neither greater than nor equal to Q’ ‘P & Q’ means ‘P is neither greater than nor smaller than Q’ ‘P * Q’ means ‘P is not greater than Q’ statements: M$ K, K @ N, N * R, R # W

Conclusions:
I. W @ K
II. M $R III. K @ W IV. M @ N Only I and II are true Only III and IV are true Only III or IV are true Only II III and IV are true None of these Question No : 6 ‘A % B’ means ‘A is smaller than B’ ‘A @ B’ means ‘A is neither smaller than nor equal to B’ ‘A$ B’ means ‘A is neither greater than nor equal to B’

‘A * B’ means ‘A is neither greater than nor smaller than B’

‘A # B’ means ‘A is not greater than B’

statements:

F @ J, J # R, R * L, L % M

Conclusions:
I. F $R II. M # R III. M % J None is true Only I is true Only II is true Only either II or III is true All are true Question No : 7 ‘A % B’ means ‘A is smaller than B’ ‘A @ B’ means ‘A is neither smaller than nor equal to B’ ‘A$ B’ means ‘A is neither greater than nor equal to B’

‘A * B’ means ‘A is neither greater than nor smaller than B’

‘A # B’ means ‘A is not greater than B’

• statements:

T # W, W $Q, Q % D, D @ J Conclusions: I. J$ T
II. T $J III. T$ Q

Only I and III are true
Only either I or II is true
Only II and III are true
Only III and either I or II are true
None of these