Mathematical operation and symbol notation Moderate Questions and Answers

Mathematical operation and symbol notation

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true

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

Correct Option: D

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

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

V > B ...(i) B ≥ D ...(ii) D &Le; 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

Correct Option: A

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

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

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.

Correct Option: A

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.

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

Correct Option: B

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

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

Correct Option: E

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