Inequalities MCQ 1

Question 1 of 20

1. Statements: A > B, B ≥ C, C < D
Conclusions:
I. A > C
II. A = C

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Question 1 of 20

Question 2 of 20

2. Statement : P ≥ Q ≥ R = S ≥ T > U ≥ V = W < X
Conclusion :
I. P ≥ U
II. P > U

Only Conclusion I follows

Conclusion II follows only

Both Conclusion I and II follows

None of the conclusion follows

Question 2 of 20

Question 3 of 20

3. Solve: f(x) = {(x – 1)×(2 – x)}/(x – 3) ≥ 0

(-∞, 1] ∪ (2, ∞)

(-∞, 1] ∪ (2, 3)

(-∞, 1] ∪ (3, ∞)

None of these

Question 3 of 20

Question 4 of 20

4. Statement: M ≥ P < H, V > T = M

Conclusions:
I. V > P
II. T ≥ H

If only conclusion I is true

If only conclusion II is true

If either conclusion I or II is true

If neither conclusion I nor II is true

Question 4 of 20

Question 5 of 20

5. Statements: P = E, Q ≥ P, V < Q
Conclusions:
I. Q ≤ E
II. E > V

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Question 5 of 20

Question 6 of 20

6. Statement : P ≥ Q ≥ R = S ≥ T > U ≥ V = W < X
Conclusion :
I. T ≤ Q
II. T < Q

Only Conclusion I follows

Conclusion II follows only

Both Conclusion I and II follows

None of the conclusion follows

Question 6 of 20

Question 7 of 20

7. If x² = 4 then the value of x is

-2

-2, 2

None of these

Question 7 of 20

Question 8 of 20

8. Statements:
A > B = C ≥ D, V ≥ G ≤ H = D

Conclusion:
I. C ≥ D
II. A > H
III. B ≥ G
IV. C < V

Only I and II are true

Only III and IV are true

Only I, II and III are true

All I, II, III and IV are true

Question 8 of 20

Question 9 of 20

9. Statements: M # K, K % P, P $ R
Conclusions:
I. R $ M
II. P % M

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Question 9 of 20

Question 10 of 20

10. The solution of the 15 < 3(x – 2)/5 < 0 is

27 < x < 2

27 < x < -2

-27 < x < 2

-27 < x < -2

Question 10 of 20

Question 11 of 20

11. Statements: N $ B, B # D, D % C
Conclusions:
I. D $ N
II. B % C

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Question 11 of 20

Question 12 of 20

12. Statement: P > Q > R, R< S >T, T=U>V
Conclusion:
I.R = V
II. P > S

Conclusion I is the only true.

Conclusion II is the only true.

One of the conclusions I or II is true.

None of the conclusions I or II is true.

Question 12 of 20

Question 13 of 20

13. Solve: 1 ≤ |x – 1| ≤ 3

[-2, 0]

[2, 4]

[-2, 0] ∪ [2, 4]

None of these

Question 13 of 20

Question 14 of 20

14. Statements: M ≤ N < L ≥ Q, R > T ≥ Q
Conclusions:
I. R ≥ L
II. T ≤ N
III. L > M
IV. R ≥ M

Only III and IV are true

Only III is true

Only I and IV are true

All I, II, III and IV are true

Question 14 of 20

Question 15 of 20

15. The region of the XOY-plane represented by the inequalities x ≥ 6, y ≥ 2, 2x + y ≤ 10 is

unbounded

a polygon

none of these

exterior of a triangle

Question 15 of 20

Question 16 of 20

if only conclusion I is true

if only conclusion II is true

if either conclusion I or II is true

if neither conclusion I nor II is true

Question 16 of 20

Question 17 of 20

17. Statements:
W * X, X @ Y, Y % Z

Conclusions:
I. W % Y
II. Z @ W

Only Conclusion I is true.

Either Conclusion I or II is true.

Neither Conclusion I nor II is true.

Both Conclusion I and II are true.

Question 17 of 20

Question 18 of 20

18. Statement: M ≥ N< O ≤ P, S ≥ R>Q=P
Conclusion:
I. S ≥ M
II. S < M

Conclusion I is the only true.

Conclusion II is the only true.

One of the conclusions I or II is true.

Conclusion I and II both are true.

Question 18 of 20

Question 19 of 20

19. The solution of the inequality |x – 1| < 2 is

(1, ∞)

(-1, 3)

(1, -3)

(∞, 1)

Question 19 of 20

Question 20 of 20

20. Statements : L @ R, R % T, T # M

Conclusions : I. M $ R
II. T $ L

if only conclusion II is true

if either conclusion I or II is true

if neither conclusion I nor II is true

if both conclusions I and II are true

Question 20 of 20