## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

1. Which of the following sets of operation with the usual notations replacing the starts in the order given makes the statements valid ?
100 * √16 * √225 * √1
1. x, =, +
2. +, =, -
3. +, =, x
4. -, x, =

1. 100 + √16
= √225 -√1

##### Correct Option: B

100 + √16
= √225 -√1
10 + 4 = 15 - 1
⇒ 14 = 14

1. Select the correct combination of mathematical signs to replace '*' signs and to balance the given equation.
24 * 34 * 2 * 5 * 12
1. + ÷ x =
2. = ÷ + -
3. = ÷ - +
4. + ÷ = x

1. From option (c),
24 = 34 ÷ 2 - 5 + 12
⇒ 24 = 17 - 5 + 12
⇒ 24 = 29 - 5
→ 24 = 24

##### Correct Option: C

From option (c),
24 = 34 ÷ 2 - 5 + 12
⇒ 24 = 17 - 5 + 12
⇒ 24 = 29 - 5
→ 24 = 24

1. If A means '-' , B means '+', C means 'x', and D means '÷' then 32   D   4   B   7   C   2  A  6
1. 18
2. 24
3. 36
4. 16
5. 14

1. After replacing the sign according to the question
32   D  4   B 7   C 2   A 6
= 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6

##### Correct Option: D

32   D  4   B 7   C 2   A 6
= 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6
= 8 + 14 - 6 = 22 - 6 = 16

1. If K denotes 'X', B denotes '÷', 'T' denotes '-' and 'M' denotes '+', then 40   B   8   T   6   M 3   K   4 = ?
1. 19
2. 11
3. -31
4. 23
5. None of these

1. ∵ 40   B   8   T   6   M 3   K   4 = ?
⇒ 40 ÷ 8 - 6 + 3 x 4 = ?
⇒ 5 - 6 + 12 = ?

##### Correct Option: B

∵ 40   B   8   T   6   M 3   K   4 = ?
⇒ 40 ÷ 8 - 6 + 3 x 4 = ?
⇒ 5 - 6 + 12 = ?
⇒ 17 - 6 = ?
∴ ? = 11

1. 16 (27) 43, 29 (?) 56, 36 (12) 48
1. 23
2. 33
3. 27
4. 37

1. Here, Right number - Left number = Middle number

##### Correct Option: C

Here, Right number - Left number = Middle number
As, 43 - 16 = 27, 48 - 36 = 12
similarly, 56 - 29 = 27
∴ ? = 27