## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

1. If given, 12 (169) 5, 4 (20) 2 and 1 (26) 5, then 7 (?) 3
1. 78
2. 68
3. 58
4. 36

1. As, 122 + 5 2 ⇒ 144 + 25 = 169
42 + 22 ⇒ 16 + 4 = 20
and 12 + 52 ⇒ 1 + 25 = 26
Similarly,
72 + 32 = 49 + 9 = 58

##### Correct Option: C

As, 122 + 5 2 ⇒ 144 + 25 = 169
42 + 22 ⇒ 16 + 4 = 20
and 12 + 52 ⇒ 1 + 25 = 26
Similarly,
72 + 32 = 49 + 9 = 58

1. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
5 * 6 * 5 * 8 * 14
1. + - x =
2. x ÷ + =
3. ÷ x = -
4. + x - ÷

1. Solve the equation by using option one by one.
5 * 6 * 5 * 8 * 14
From option (b),
After changing the symbol as per question,
5 x 6 ÷ 5 + 8 = 14
Apply the BODMAS Rule,
⇒ 5 x 6/5 + 8 = 14

##### Correct Option: B

Solve the equation by using option one by one.
5 * 6 * 5 * 8 * 14
From option (b),
After changing the symbol as per question,
5 x 6 ÷ 5 + 8 = 14
Apply the BODMAS Rule,
⇒ 5 x 6/5 + 8 = 14
∴ 14 = 14

1. If '-' mean 'x', 'x' means '+', '+' means '÷' and '÷' means '-', then
40 x 12 + 3 - 6 ÷ 60 = ?
1. 44
2. 16
3. 7.95
4. 4

1. Given question is,
40 x 12 + 3 - 6 ÷ 60
According to the question, putting the real values of signs,
40 + 12 ÷ 3 x 6 - 60 = 40 + 4 x 6 - 60
Apply the BODMAS Rule
= 40 + 24 - 60 = 64 - 60 = 4

##### Correct Option: D

Given question is,
40 x 12 + 3 - 6 ÷ 60
According to the question, putting the real values of signs,
40 + 12 ÷ 3 x 6 - 60 = 40 + 4 x 6 - 60
Apply the BODMAS Rule
= 40 + 24 - 60 = 64 - 60 = 4

1. If '+' means '÷', 'x' means '+', '-' means 'x' and '÷' means '-', then which of the following equation is correct?
1. 36 + 6 x 3 + 2 = 20
2. 36 + 6 - 3 x 2 = 20
3. 36 x 6 + 3 - 2 < 20
4. 36 x 6 + 3 x 2 > 20

1. Solve all option one by one,
36 + 6 - 3 x 2 = 20
After changing the symbol as per question,
36 ÷ 6 x 3 + 2 = 20
Apply the BODMAS rule,
⇒ 6 x 3 + 2 = 20

##### Correct Option: B

Solve all option one by one,
36 + 6 - 3 x 2 = 20
After changing the symbol as per question,
36 ÷ 6 x 3 + 2 = 20
Apply the BODMAS rule,
⇒ 6 x 3 + 2 = 20
⇒ 18 + 2 = 20
⇒ 20 = 20

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

1. Statements ::
D > B, C > K, K ≤ N, B < C, N < B
Conclusions ::
I. D > N
II. C ≥ K
1. Only Conclusion I follows
2. Only Conclusion II follows
3. either Conclusion I or II follows
4. neither Conclusion I nor II follows
5. both Conclusion I and II follow

1. Conclusions
As per given question, we can draw the below conclusion,
I. D > N           (✔)

II. C ≥ K           (X)

##### Correct Option: A

Conclusions
As per given question, we can draw the below conclusion,
I. D > N           (✔)

II. C ≥ K           (X)