Mathematical operation and symbol notation Moderate Questions and Answers

Mathematical operation and symbol notation

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 = ?

Correct Option: B

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

Correct Option: D

4 x 3 x 4 = 48

Direction: In these question, relationship between different element is shown in the statements. These statements are followed by two conclusions.

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

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.

Correct Option: D

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.

Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
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.

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

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.

Correct Option: A

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.