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Inequalities MCQ - Multiple Choice Question and Answer

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

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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