Q: Statements: H S N, N % R, R @ J Conclusions:I. R @ H II. J % H

H ≥ N ....(i) N > R ....(ii) R H ...(iv) Hence R < H and I follows But J and H can't compared From (iii) and (iv) Hence II does not follow.

Q: Statement : F δ T, T S M, M © R Conclusion : I. R S F II. M © F

F = T ....(i) T ≥ M ....(ii) M ≤ R .....(iii) From (i) and (ii) F ≥ M ....(iv) Hence M ≤ F and II follows But R and F can't be compared From (iii) and (iv) Hence I does not follow

Q: Statement : W © D, D S B, B @ H Conclusion : I. H % D II. W @ B

W ≤ D ....(i) D ≥ B .....(ii) B > H ... (iii) H and D can't be compared from (ii) and (iii) Hence; I does not follows Nor can W and B he be compared From (i) and (ii). Hence II does not follows

Question 1

If '+' denotes ÷ , '-' denotes x, 'x' denotes - and '÷' denotes +, then 35 + 7 - 5 ÷ 5 x 6 =?

Accepted Answer

According to the question, 35 ÷ 7 x 5 + 5 - 6 = ? ⇒ 5 x 5 + 5 - 6 = ? ⇒ 25 + 5 - 6 = ? ⇒ 30 - 6 = 24

Question 2

4 - 4 = 12, 6 - 6 = 30, 2 - 2 = 2, 8 - 8 =?

Accepted Answer

As, 4 - 4 ⇒ 4 x 4 - 4 = 12 6 - 6 ⇒ 6 x 6 - 6 = 30 2 - 2 ⇒ 2 x 2 - 2 = 2 Similarly, 8 - 8 ⇒ 8 x 8 - 8 = 56

Question 3

9 * 7 = 32, 13 * 7 = 120, 17 * 9 = 208, 19 * 11 =?

Accepted Answer

As, 9 * 7 ⇒ (9 + 7) (9 - 7) = 16 x2 = 32 13 * 7 ⇒ (13 + 7) (13 - 7) = 20 x 6 = 120 17 * 9 ⇒ (17 + 9) (17 - 9) = 26 x 8 = 208 Similarly, 19 * 11 ⇒ (19 + 11) (19 - 11) = 30 x 8 = 240 ∴ ? = 240

Question 4

If + means ÷, - means x, x mean +, ÷ means -, then 90 + 18 - 6 x 30 ÷ 4 =?

Accepted Answer

65

Question 5

If + = x , - = ÷ , x = + , ÷ = - , then which is the correct equation out of the following?

Accepted Answer

18 + 6 - 4 x 2 ÷ 3 = 26 After chaning, the equation is L.H.S., 18 x 6 ÷ 4 + 2 - 3 108 ÷ 4 + 2 - 3 27 + 2 - 3 29 - 3 = 26 R.H.S.

Question 6

Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 5 * 6 * 5 * 8 * 14

Accepted Answer

5 x 6 ÷ 5 + 8 = 14

Question 7

Insert the arithmetical operations in the following numerical figure- 4_3_4 = 48

Accepted Answer

4 x 3 x 4 = 48

Question 8

Statements: A > B > C, D > E > F, D > C Conclusions: I.E > C II. F > B

Accepted Answer

A > B < C < D > E > F E and C can't be compared. Hence II does not follow. Z and J can't be compared. Hence I does not follows. Consequently II does not follows either.

Question 9

Statement : M @ J, J © R, R δ K Conclusion : I. K δ J II. K % J

Accepted Answer

M < J ...(i) J≤ R ...(ii) R = K .....(iii) From (ii) and (iii) J ≤ K or K ≥ J, .....(iv) Hence either I (K = J) or II (K > J) follow

Question 10

Statements: V % B, B S D , D © E Conclusions: I. E δ B II. D @ V

Accepted Answer

V > B ...(i) B ≥ D ...(ii) D ≤ E ...(iii) From (ii) and (iii) E and B can't be compared. Hence I does not follows. From (i) and (iv) V > D or D < V Hence II follows

Question 11

Statements: H S N, N % R, R @ J Conclusions:I. R @ H II. J % H

Accepted Answer

H ≥ N ....(i) N > R ....(ii) R < J ...(iii) From (i) and (ii) R > H ...(iv) Hence R < H and I follows But J and H can't compared From (iii) and (iv) Hence II does not follow.

Question 12

Statement : F δ T, T S M, M © R Conclusion : I. R S F II. M © F

Accepted Answer

F = T ....(i) T ≥ M ....(ii) M ≤ R .....(iii) From (i) and (ii) F ≥ M ....(iv) Hence M ≤ F and II follows But R and F can't be compared From (iii) and (iv) Hence I does not follow

Question 13

Statement : W © D, D S B, B @ H Conclusion : I. H % D II. W @ B

Accepted Answer

W ≤ D ....(i) D ≥ B .....(ii) B > H ... (iii) H and D can't be compared from (ii) and (iii) Hence; I does not follows Nor can W and B he be compared From (i) and (ii). Hence II does not follows

Question 14

Statement : F @ R, R © V, V S T Conclusion : I. V % F II. F @ T

Accepted Answer

F < R ...(i) R ≤ V ....(ii) V ≥ T ....(iii) From (i) and (ii) F < V ....(iv) Hence F > V and I follows But F and T can't be compared From (iii) and (iv) Hence II does not follow

Question 15

Accepted Answer

N ≥ T ... (i) T = H ...(ii) N < w .....(iii) Combining these we get W > N ≥ T = H Hence W > T and I follows. Also H ≤ N and II follows

Question 16

Statements: J @ K, K % M, M # T Conclusions: I. K % T II. K @ T

Accepted Answer

J ≥ K ...(i) K < M ...(ii) M > T ...(iii) K and T can't be compared From (ii) and (iii) but either I (K < T) or II, (K ≥ T) must be true.

Question 17

Statements: F # R, H % R, L * H Conclusions: I. F # L II. R @ L

Accepted Answer

F > R ...(i) H < R ...(ii) L ≤ H ...(iii) Combining these we get F > R > H ≥ L Hence F > L and I follows Also R > L and II (R ≥ L) does not follows.

Question 18

Statements: N @ W, W # H Conclusions: I. H % N II. T # W

Accepted Answer

N ≤ W ...(i) W = H ...(ii) H < T ...(iii) From (i) and (ii) W = N ≥ W > H or N > H ...(iv) Hence H < N and I follows. But T and W can't be compared from (ii) and (iii) Hence II does not follow.

Question 19

Statements: V * W, W S H, H @ I Conclusions: I. L * V II. L S D

Accepted Answer

V ≤ W ...(i) W = H ...(ii) H ≥ I ...(iii) From (i) and (ii) W = H ≥ I or W ≥ I ...(iv) Hence I ≤ W and II follows But V and I can't be compared From (iii) and (iv) Hence I does not follows.

Question 20

Statements: L * P, P % V, V # D Conclusions: I. L * V II. L S D

Accepted Answer

L ≤ P.....(i) P < V ...(ii) V > D ...(iii) Combining (i) and (ii) we get L ≤ P < V or L < W ...(iv) L and D can't be compared Hence II does not follows

Mathematical Operations Questions