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 :
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

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.

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

Direction: In each of the following questions, all the equations except one have been solved according to a certain rule. You are required to solve the unsolved equation following the same rule and to choose the correct answer out of the given options.

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

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

Correct Option: C

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

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