Question 1

Statements: V @ M, A S M, R # V Conclusions: I. R # A II/. V @ A III. R S M

Accepted Answer

V ≥ M ...(i) A > M ...(ii) R ≤ V ...(iii) These lead us to no relationship by combination.

Question 2

Statements: T S K, K # R, R * M Conclusions: I. M * K II. M % T III. M S K

Accepted Answer

D > K ...(i) K ≤ R ...(ii) R = M ...(iii) From (ii) and (iii) M ≥ K ...(iv) Hence either I (M = K) or III (M > K) follow. But M and T can't be compared from (i) and (iv). Hence II does not follow.

Question 3

Statements: B * D, D @ H, H % F Conclusions: I. B * F II B S F III. D S F

Accepted Answer

B = D ...(i) D ≥ H ...(ii) H > F ...(iii) D and F can't be compared from (i) and (ii). And from the same reason, if we bear (i) an mind. B and F can't be compared. Hence none follows.

Question 4

Statements: I # N Conclusions: I. J % T II. T S N III. N @ J

Accepted Answer

J ≤ N ...(i) K ≤ N ...(ii) T > K ...(iii) Combining these we get T > K ≥ N ≥ J Hence J < T and I follows. Also T > N and II follows. Beside N ≥ J and III follows

Question 5

Statements: M % R, R # T, T * N Conclusions: I. N * R, II. NSR, II. NSM

Accepted Answer

M < R ...(i) R ≤ T ...(ii) T = N ...(iii) Combining these we get M < R ≤ T = N Hence N ≤ R Which means either I (N = R) or II (N > R) follows. Again N > M. Hence III follows

Question 6

Statements: M % R, R S T, T © K Conclusions: I. T δ M II. R S T

Accepted Answer

M ≤ R ...(i) R < T ...(ii) T ≥ K ...(iii) From (ii) and (iii) M ≤ R < T or T > M Hence I follows From (ii) and (iii) R and K can't be compared. Hence II does not follow

Question 7

Statements: W % V, V @ Z, Z © D Conclusions: I. D % V II. W % Z

Accepted Answer

W ≤ V ..(i) V = Z ...(ii) Z ≥ D ...(iii) From (ii) and (iii) V = Z ≥ D or D ≤ V Hence I follows. From (i) and (ii) W ≤ V = Z or W ≤ Z Hence II follows.

Question 8

Statements: B δ T, T S H, H @ M Conclusions: I. M δ T II. B δ H

Accepted Answer

B > T ...(i) T < H ...(ii) H = M ...(iii) From (ii) and (iii) T < H = M or M > I Hence I follow From (i) and (ii) B and H can't be compared. Hence II does not follow

Question 9

Statements: J δ D, D @ N, N % F Conclusions: I. J δ F II. F © D

Accepted Answer

J > D ...(i) D = N ...(ii) N ≤ F ...(iii) From (ii) and (iii) D = N ≤ F or F ≥ D ...(iv) Hence II follows. From (i) and (iv) R and (iv) J and F can't be compared. Hence I does not follow.

Question 10

Statements: R S J, J δ F, F % H Conclusions: I. H δ J II. R S F

Accepted Answer

R < J ...(i) J > F ...(ii) F ≤ H ...(iii) From (ii) and (iii) H and J can't be compared. Hence I does not follow From (i) and (ii) R and F can't be compared. Hence II does not follow

Question 11

Statements: B @ N, N © T, T S K Conclusions: I. T @ B II. T S B

Accepted Answer

B = N ...(i) N ≥ T ...(ii) T > K ...(iii) From (i) and (ii) B = N ≥ T or T ≤ B, Hence I either (T = B) or II (T < B) follows

Question 12

Statements: H © T, T % M, M δ F Conclusions: I. F S T II. H δ M

Accepted Answer

H ≥ T ...(i) T ≤ M ...(ii) M > F ...(iii) From (i) and (ii) H and M can't be compared. Hence II does not follow From (ii) and (iii) F and T can't be compared. Hence I does not follow

Question 13

Which one of the four interchange in signs or numbers would make the given equation correct? 6 x 4 + 2 = 16

Accepted Answer

Apply all option one by one. ∵ 6 x 4 + 2 = 16 ⇒ 4 + 6 x 2 = 16 ⇒ 4 + 12 = 16

Question 14

Select the correct combination of mathematical sign to replace * signs and to balance the given equation. 15 * 24 * 3 * 6 * 17

Accepted Answer

Given equation → 15 * 24 * 3 * 6 * 17 From option (a), substitute the signs 15 + 24 ÷ 3 - 6 = 17 ⇒ 15 + 24/3 - 6 = 17 ⇒ 15 + 8 - 6 = 17 ⇒ 23 - 6 = 17 ∴ 17 = 17

Question 15

If 2 3 ÷ 4 = 2, 4 4 ÷ 8 = 32, then what will be the value of 6 2 ÷ 4?

Accepted Answer

(2)3 ÷ 4 = 2, (4)4 ÷ 8 = 32 Therefore, (6)2 ÷ 4 = 9

Question 16

If 2 & 6 % 7 = 33, 4 & 6 % 8 = 54, then what will be the value of 6 % 8 & 9?

Accepted Answer

Here sign '&' does not convey any meaning and sign '%' signifies '+' 26 + 7 = 33, 46 + 8 = 54 Therefore, 6 + 89 = 95

Question 17

If 879 = 9, 625 = 1 and 586 = 9, then 785 =?

Accepted Answer

879 ⇒ (7 + 9) - 8 = 8 625 ⇒ (2 + 5) - 6 = 1 and 586 ⇒ (8 + 6) - 5 = 9 Similarly, 785 ⇒ (8 + 5) - 7 = 6

Question 18

If given, 12 (169) 5, 4 (20) 2 and 1 (26) 5, then 7 (?) 3

Accepted Answer

As, 122 + 5 2 ⇒ 144 + 25 = 169 42 + 22 ⇒ 16 + 4 = 20 and 12 + 52 ⇒ 1 + 25 = 26 Similarly, 72 + 32 = 49 + 9 = 58

Question 19

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

Accepted Answer

Solve the equation by using option one by one. 5 * 6 * 5 * 8 * 14 From option (b), After changing the symbol as per question, 5 x 6 ÷ 5 + 8 = 14 Apply the BODMAS Rule, ⇒ 5 x 6/5 + 8 = 14 ∴ 14 = 14

Question 20

If '-' mean 'x', 'x' means '+', '+' means '÷' and '÷' means '-', then 40 x 12 + 3 - 6 ÷ 60 =?

Accepted Answer

Given question is, 40 x 12 + 3 - 6 ÷ 60 According to the question, putting the real values of signs, 40 + 12 ÷ 3 x 6 - 60 = 40 + 4 x 6 - 60 Apply the BODMAS Rule = 40 + 24 - 60 = 64 - 60 = 4

Mathematical Operations Questions