Q: If A for '+', M for 'x', D for '÷', G for '>', L for '<', then which of the following will be logically correct?

Solve all option one by one. Change the symbol in given question. From option (D), 4 A 3 M 2 L 4 D 2 M 6 4 + 3 X 2 < 4 ÷ 2 x 6 Apply the BODMAS Rule. 10 < 12

Q: If the mathematical signs interchange from - to +, + to ÷. x to - and ÷ to x, then find out the correct answer of the given equation 6 ÷ 8 + 2 x 5 - 8 =?

Interchange the symbol as per given in question. 6 ÷ 8 + 2 x 5 - 8 After changing the sign = 6 x 8 ÷ 2 - 5 + 8 Apply the BODMAS Rule. = 6 x 4 - 5 + 8 = 24 - 5 + 8 = 32 - 5 = 27

Question 1

16 7 25 m 23 22 If 'm' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (2-digit even number) ÷ ( Even number) (ii) (Even number) x (Prime number) (iii) (Odd number) + (Odd number) (iv) (3-digit number) - (2-digit perfect square number) (v) (3-digit number) ÷ (2-digit non-perfect square number) Solution 1st Row 16 7 25 ⇒ 16 x 7 = 112 [rule (ii)] ⇒ 112 - 25 = 87 = m [rule (iv)] 2nd Row m 23 22 ⇒ 87 23 22 ⇒ 87 + 23 = 110 [rule (iii)] ⇒ 110 ÷ 22 = 5 [rule (v)] ∴ Resultant of second row = 5

Question 2

97 45 71 48 8 11 What is the sum of the resultants of the two rows?

Accepted Answer

Rules (i) (2-digit even number) ÷ ( Even number) (ii) (Even number) x (Prime number) (iii) (Odd number) + (Odd number) (iv) (3-digit number) - (2-digit perfect square number) (v) (3-digit number) ÷ (2-digit non-perfect square number) Solution 1st Row 97 45 71 ⇒ 97 + 45 = 142 [rule (iii)] ⇒ 142 ÷ 71 = 2 [rule (v)] 2nd Row 48 8 11 ⇒ 48 ÷ 8 = 6 [rule (i)] ⇒ 6 x 11 = 66 [rule (ii)] ∴ Required sum = 2 + 66 = 68

Question 3

125 64 33 282 x 39 If 'x' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (2-digit even number) ÷ ( Even number) (ii) (Even number) x (Prime number) (iii) (Odd number) + (Odd number) (iv) (3-digit number) - (2-digit perfect square number) (v) (3-digit number) ÷ (2-digit non-perfect square number) Solution 1st Row 125 64 33 ⇒ 125 - 64 = 61 [rule (iv)] ⇒ 61 + 33 = 94 [rule (iii)] = x 2nd Row 282 x 39 ⇒ 282 94 39 ⇒ 282 ÷ 94 = 3 [rule (v)] ⇒ 3 + 39 = 42 [rule (iii)] ∴ Resultant of second row = 42

Question 4

24 7 81 x 27 19 If 'x' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (2-digit even number) ÷ ( Even number) (ii) (Even number) x (Prime number) (iii) (Odd number) + (Odd number) (iv) (3-digit number) - (2-digit perfect square number) (v) (3-digit number) ÷ (2-digit non-perfect square number) Solution 1st Row 24 7 81 ⇒ 24 x 7 = 168 [rule (ii)] ⇒ 168 - 81 = 87 [rule (iv)] = x 2nd Row x 27 19 ⇒ 87 27 19 ⇒ 87 + 27 = 114 [rule (iii)] ⇒ 114 ÷ 19 = 6 [rule (v)] ∴ Resultant of second row = 6

Question 5

If 'P' means '+', 'Q' means 'x', 'R' means '÷' and 'S' means '-', then 44 Q 9 R 12 S 6 Q 4 P 16 =?

Accepted Answer

After replacing all the symbol from question. 44 x 9 ÷ 12 - 6 x 4 + 16 = ? Apply BODMAS rule, ⇒ 44 x 9 x 1/12 - 24 + 16 = ? ⇒ 33 - 24 + 16 = ? ⇒ 49 - 24 = ? ∴ ? = 25

Question 6

Which of the following interchange of signs would make the given equation correct? 5 + 3 x 8 - 12 ÷ 4 = 3

Accepted Answer

Apply All option one by one 5 + 3 x 8 - 12 ÷ 4 = 3 Now, after changing the sign for option C 5 + 3 x 8 ÷ 12 - 4 = 3 Apply the BODMAS Rule 5 + 3 x 8/12 - 4 = 3 5 + 2 - 4 = 3 3 = 3

Question 7

If P denotes '÷', Q denotes 'x', R denotes '+' and S denotes '-' then 18 Q 12 P 4 R 5 S 6 =?

Accepted Answer

Given Question is 18 Q 12 P 4 R 5 S 6 After changing the letters in to signs as per given in the question, we have 18 x 12 ÷ 4 + 5 - 6 , Apply the BODMAS Rule, ⇒ 18 x 12/4 + 5 - 6 ⇒ 18 x 3 + 5 - 6 ⇒ 54 + 5 - 6 ∴ 59 - 6 = 53

Question 8

If '-' stands for 'addition', '÷' for 'multiplication', 'x' for 'subtraction' and '+' for 'division', then which of the following is correct?

Accepted Answer

Solve All option one by one. After changing the Sign. 25 + 15 ÷ 5 x 4 - 16 = 21 Apply the BODMAS Rule, ⇒ 25 + 3 x 4 - 16 = 21 ⇒ 25 + 12 - 16 = 21 ⇒ 37 - 16 = 21 ∴ 21 = 21

Question 9

If A for '+', M for 'x', D for '÷', G for '>', L for '<', then which of the following will be logically correct?

Accepted Answer

Solve all option one by one. Change the symbol in given question. From option (D), 4 A 3 M 2 L 4 D 2 M 6 4 + 3 X 2 < 4 ÷ 2 x 6 Apply the BODMAS Rule. 10 < 12

Question 10

If the mathematical signs interchange from - to +, + to ÷. x to - and ÷ to x, then find out the correct answer of the given equation 6 ÷ 8 + 2 x 5 - 8 =?

Accepted Answer

Interchange the symbol as per given in question. 6 ÷ 8 + 2 x 5 - 8 After changing the sign = 6 x 8 ÷ 2 - 5 + 8 Apply the BODMAS Rule. = 6 x 4 - 5 + 8 = 24 - 5 + 8 = 32 - 5 = 27

Question 11

If +, -, x, ÷, =, > and < are represented as δ,•, γ,η, ω, β and α respectively, then which of the following is correct?

Accepted Answer

Given question is, 3 δ 6 • 2 γ 8 η 4 ω 5 Then, after placing of signs in given question, 3 + 6 - 2 x 8 ÷ 4 = 5 Apply the BODMAS Rule. 9 - 2 x 2 = 5 5 = 5

Question 12

Select the correct combination of mathematical signs to replace '*' signs and to balance the given equation. 24 * 34 * 2 * 5 * 12

Accepted Answer

Solve by using all option one by one. Choosing option (C) and change the sign. 24 = 34 ÷ 2 - 5 + 12 Use BODMAS rule to solve the equation. 24 = 17 - 5 + 12 24 = 29 - 5 24 = 24

Question 13

Find the correct group of signs to solve the equation. 24 * 16 * 8 * 32

Accepted Answer

Solve by using all option one by one. Given equation is 24 * 16 * 8 * 32 Taking the sign of option (D), ⇒ 24 + 16 - 8 = 32 Apply the BODMAS Rule in equation. ⇒ 40 - 8 = 32 ⇒ 32 = 32 Hence, correct group of sign is option (b).

Question 14

If '+' means '-', '-', means 'x' , '÷' means '+' and 'x' means '÷', then 10 x 5 ÷ 3 - 2 + 3 =?

Accepted Answer

? = 10 x 5 ÷ 3 - 2 + 3 = 10 ÷ 5 + 3 x 2 - 3 (by interchanging sign) = 2 + 3 x 2 - 3 = 2 + 6 - 3 = 8 - 3 = 5

Question 15

If Q means '+', J means 'x', T means '-' and K means '÷' then 30 K 2 Q 3 J 6 T 5 =?

Accepted Answer

Using the correct symbols, we have 30 K 2 Q 3 J 6 T 5 = 30 ÷ 2 + 3 x 6 - 5 = 15 + 18 - 5 = 33 - 5 = 53

Question 16

If P denotes '÷', Q denotes 'x', R denotes '+' and S denotes '-', then 18 Q 1 2 P 4 R 5 S 6

Accepted Answer

Using the correct symbols, we have 18 Q 1 2 P 4 R 5 S 6 = 18 x 12 ÷ 4 + 5 - 6 = 18 x 3 + 5 - 6 = 54 + 5 - 6 = 59 - 6 = 53

Question 17

Given interchanges signs '+' and 'x', numbers '3' and '7'

Accepted Answer

(a) 27 x 13 + 37 ≠ 1241 (b) 73 x 37 + 12 ≠ 112 (c) 27 + 13 x 73 ≠ 428 (d) 27 x 13 + 37 = 388

Question 18

Given interchanges signs '-' and ' ÷'; numbers '2' and '6'

Accepted Answer

(a) 36 ÷ 16 - 2 ≠ 30 (b) 32 - 16 ÷ 6 ≠ 1 (c) 36 ÷ 12 - 2 = 1 (d) 32 ÷ 16 - 6 ≠ 30

Question 19

Given interchanges signs 'x' and '÷'; numbers '4' and '9'

Accepted Answer

(a) 49 ÷ 7 x 97 ≠ 324 (b) 49 ÷ 7 x 47 = 329 (c) 94 ÷ 7 x 94 ≠ 7 (d) 97 ÷ 4 x 49 ≠ 18

Question 20

Select the correct combination of mathematical signs to replace * signs and to balance the following equation 8 * 8 * 1 * 7 = 8

Accepted Answer

From option (c), 8 * 8 * 1 * 7 = 8 ⇒ 8 ÷ 8 x 1 + 7 = 8 ∴ 8 = 8

Mathematical Operations Questions