Q: In which of the following expression will the expression ' A < D' be definitely true?

Try all option one by one. From the expression "C "-- A < B = C ≤ D, A < D will be definitely true .

Q: Statements H ≥ I = J > K ≤ L Conclusions I. K < H II. L ≥ I

Given that, H ≥ I = J > K ≤ L Here, statements are already combined H ? I = J > K means H > K Conclusions I. K < H (true) II. L ≥ I (false) So, it is clear that only Conclusion I follows from the given statements.

Q: Statements A = B ≤ C, A > R Conclusions I. B > R II. R < C

Given that, A = B ≤ C ................(i) A > R .........................(II) On combining the statements (i) and (ii), we get R R. .................(true) II. R < C .................(true) So, it is clear that both Conclusions I and II follow from the given statements.

Q: Statements D > E ≤ F, J J II. E < J

Given that, D > E ≤ F ..............(i) J E ≤ F > j Conclusions I. D > J (false) II. E < J (false) So, it is clear that neither Conclusion I nor II is true .

Q: Statements P T, R ≥ Q. Conclusions I. R > P II. T < R

Given that, P T ...................(i) R ≥ Q ......................(ii) On combining the statements (i) and (ii), we get P T Conclusions I. R > P ...... (true) II. T < R .......(true) So, it is clear that both Conclusions I and II are true.

Q: Statements F ≥ G = H; G > J ≥ K Conclusions I. F ≥ K II. K < H

Given that, D > E ≤ F ............(i) J E ≤ F > J Conclusions I. D > J (false) II. E < J (false) So, it is clear that neither Conclusion I nor II is true

Question 1

Which of the following expression will be true, if the given expression K ≥ G > H ≤ F is definitely true?

Accepted Answer

Now, we can check all the options one by one (a) F ≥ K......(false) (b) H < K .......(true) (c) F < G ......(false) (d) K ≥ H ......(false) So, it clear that option (b) true ,

Question 2

In which of the following expression will the expression ' A < D' be definitely true?

Accepted Answer

Try all option one by one. From the expression "C "-- A < B = C ≤ D, A < D will be definitely true .

Question 3

In which of the following expressions does the expression 'M' > R' does not hold true?

Accepted Answer

We can check all the options one by one. from option (a), M = P > Q > R ⇒ M > R So, expression M > R holds true for option (a). From option (b), M > P ≥ Q = R ⇒ M > R So, expression M > R holds true for option (b). From option (c). R = P < Q < M ⇒ R < M So, expression M > R holds true for option (c). From option (d), R < Q ≤ P = M ⇒ R < M So, expression M > R holds true for option (d) From option (e), M = P < Q = R ⇒ M < R So, expression M > R does not hold true for option (e).

Question 4

Statements H ≥ I = J > K ≤ L Conclusions I. K < H II. L ≥ I

Accepted Answer

Given that, H ≥ I = J > K ≤ L Here, statements are already combined H ? I = J > K means H > K Conclusions I. K < H (true) II. L ≥ I (false) So, it is clear that only Conclusion I follows from the given statements.

Question 5

Statements S > C ≥ 0, P < C Conclusions I. 0 < P II. S > P

Accepted Answer

Given that S > C ≥ O ....(i) P < C ...............(ii) On combined the statement (i) and (ii), we get S > C > P P < C ≥ O Conclusions I. O < P............... (false) II. S > P ................ (true) So, it is clear that only Conclusion II follow from the given statements.

Question 6

Statements A = B ≤ C, A > R Conclusions I. B > R II. R < C

Accepted Answer

Given that, A = B ≤ C ................(i) A > R .........................(II) On combining the statements (i) and (ii), we get R < A = B ≤ C Conclusion I. B > R. .................(true) II. R < C .................(true) So, it is clear that both Conclusions I and II follow from the given statements.

Question 7

Statements D > E ≤ F, J < F Conclusions I. D > J II. E < J

Accepted Answer

Given that, D > E ≤ F ..............(i) J < F .........................(ii) On combining the statements (i) and (ii), we get D > E ≤ F > j Conclusions I. D > J (false) II. E < J (false) So, it is clear that neither Conclusion I nor II is true .

Question 8

Statements P < Q > T, R ≥ Q. Conclusions I. R > P II. T < R

Accepted Answer

Given that, P < Q > T ...................(i) R ≥ Q ......................(ii) On combining the statements (i) and (ii), we get P < Q ≤ R R ≥ Q > T Conclusions I. R > P ...... (true) II. T < R .......(true) So, it is clear that both Conclusions I and II are true.

Question 9

Statements F ≥ G = H; G > J ≥ K Conclusions I. F ≥ K II. K < H

Accepted Answer

Given that, D > E ≤ F ............(i) J < F ......................(ii) On combining the statements (i) and (ii), we get D > E ≤ F > J Conclusions I. D > J (false) II. E < J (false) So, it is clear that neither Conclusion I nor II is true

Question 10

Statements P < Q = R ≥ S ≥ T Conclusions I. T ≤ Q II. R > P

Accepted Answer

Statements P < Q = R ≥ S ≥ T Conclusions I. T ≤ Q (true) II. R > P (true) Hence, both conclusions are definitely true.

Question 11

Statement A ≤ B < C ; A ≥ D; C ≤ F Conclusions I. D < C II. F ≥ D

Accepted Answer

Statement A ≤ B < C ; A ≥ D ; C ≤ F ; On combining both the statements, we get D ≤ A ≤ B < C ≤ Conclusions I. D < C (true) II. F ≥ D (false) Hence, only conclusion I is definitely true.

Question 12

Statement U > A = I ≤ 0 < E Conclusions I. I ≤ E II. 0 > U

Accepted Answer

Statement U > A = I ≤ O < E Conclusions I. I ≤ E (false) II. O > U (false) Hence, neither Conclusion I nor II is definitely true.

Question 13

Statement L = M ≥ N; M > P; L < K. Conclusions I. K > P II. N < K

Accepted Answer

Statement L = M ≥ N; M > P; L < K ; On combing both the statements, we get P < L = M ≥ N < k Conclusions I. K > P (false) II. N < K (true) Hence, only Conclusions II is definitely true.

Question 14

Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 2 * 4 * 3 * 4 * 9

Accepted Answer

2 x 4 - 3 + 4 8 - 3 + 4 = 9

Question 15

If '+' means '-' '-' means 'x' , 'x' means '÷' and '÷' means '+' Which combination will give you the value of '0' in 42*4*12*20*9?

Accepted Answer

The given expression is 42*4*12*9 = 0 From option (c), 42, - 4 ÷ 12 x 20 + 9 By coding, the equation becomes, LHS ⇒ 42 x 4 + 12 ÷ 20 - 9 By applying the operations in sequence, from left to right, 168 + 12 ÷ 20 - 9 180 ÷ 20 - 9 9 - 9 = 0 = R.H.S.

Question 16

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

Accepted Answer

40 + 12 ÷ 3 x 6 - 60 = 40 + 4 x 6 - 60 = 40 + 24 - 60 = 64 - 60 = 4

Question 17

If + mean x, - means + , ÷ means + , x means - then the value of 162 x 52 - 26 ÷ 15 + 5

Accepted Answer

162 - 52 ÷ 26 + 15 x 5 = 162 - 2 + 75 = 235

Question 18

Statements: L ≤ M < N > O ≥ P Conclusions: I. O < M II. P ≤ N

Accepted Answer

If neither conclusion I nor II follows

Question 19

Statements: K * D, D S L, L @ J Conclusions: I. K S L II. K # J

Accepted Answer

K ≥ D ...(i) D > L ...(ii) L < J ...(iii) From (i) and (ii) K ≥ D > L or K > L ....(iv) Hence I follows However, From (iii) and (iv) J and H can't be compared . Hence II does not follow.

Question 20

Statements: T # J, J * I, I @ W Conclusions: I. J @ W II. T % I

Accepted Answer

T ≤ J ...(i) J ≥ I ...(ii) I < W ...(iii) From (ii) and (iii) J and W can't be compared. Hence I does not follow From (i) and (ii) T and I can't be compared. Hence II does not follow

Mathematical Operations Questions