Question 1

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

Accepted Answer

? = 10 x 5 ÷ 3 - 2 + 3 = 10 ÷ 5 + 3 x 2 - 3 Apply the rule BODMAS Do things in Brackets First (Powers, Roots) before Multiply, Divide, Add or Subtract. Multiply or Divide before you Add or Subtract = 10 ÷ 5 + 3 x 2 - 3 = 2 + 3 x 2 - 3 Addition = 2 + 6 - 3 Subtraction = 8 - 3 = 5

Question 2

If "T" means (x), 'U' means (-) , 'X' means (÷) and W means (+), then what will be the value of the following expression? (50 X 2) W (28 T 4 )

Accepted Answer

Given expression, (50 x 2) W (28 T 4) After interchanging the letters with symbols, we get (50 ÷ 2) + (28 x 4) = 25 + 112 = 137

Question 3

Select the correct combination of mathematical signs to replace the * signs and to balance the given equation. 40 * 2 * 4 * 3 * 8

Accepted Answer

Given, 40* 2* 4 * 3 * 8 Let us check all the options one by one. From option (a), putting the signs in given equation, we get 40 + 2 - 4 ÷ 3 = 8 ⇒ 42 - 4/3 = 8 ⇒ 126 - 4 = 24 ⇒ 122 = 24 ∴ L H S ≠ R H S So, option (a) is incorrect. From option (b), putting the signs in given equation, we get 40 ÷ 2 + 4 = 3 x 8 ⇒ 20 + 4 = 24 ⇒ 24 = 24 LHS = RHS Hence, option (b) is correct and there is no need to check remaining options.

Question 4

4 - 4 = 17, 6 - 6 = 37, 2 - 2 = 5, 5 - 5 =?

Accepted Answer

As, 4 - 4 ⇒ 4 x 4 + 1 = 17 6 - 6 ⇒ 6 x 6 + 1 = 37 2 - 2 ⇒ 2 x 2 + 1 = 5 Similarly, 5 - 5 ⇒ 5 x 5 + 1 = 26 ∴ ? = 26

Question 5

If S means '-', Q means 'x' , R means '÷' and P means '+' then 1 P 45 R 2 Q 2 S 4 =?

Accepted Answer

After replacing the sign according to question 1 P 45 R 2 Q 2 S 4 Apply the BODMAS Rule = 1 + 45 ÷ 2 x 2 - 4 = 1 + 22.5 x 2 - 4 = 1 + 45 - 4 = 42

Question 6

If '@' means 'x', 'c' means '÷' % means (+) and '$' means '-', then 6%12C3@8 $ 3 =?

Accepted Answer

∵ 6%12C3@8 $ 3 = ? After replacing the sign according to the question ⇒ 6 + 12 ÷ 3 x 8 - 3 = ? Apply the BODMAS Rule ⇒ 6 + 4 x 8 - 3 = ? ⇒ 6 + 32 - 3 = ? ⇒ 38 - 3 = ? ∴ ? = 35

Question 7

6 5 4 = 34

Accepted Answer

Let us check all the options one by one. From option (a), 6 - 5 + 4 = 34 (using VBODMAS rule) ⇒ 10 - 5 = 34 ⇒ 5 = 34 ∴ LHS ≠ RHS So, option (a) is incorrect From option (b), 6 x 5 + 4 = 34 (using VBODMAS rule) ⇒ 30 + 4 = 34 ⇒ 34 = 34 ⇒ LHS = RHS So, option (b) gives us the correct answer and hence, there is no need to check remaining options.

Question 8

65 40 11 = 36

Accepted Answer

Let us check all the options one by one. From option (a), 65 - 40 + 11 = 36 ⇒ 76 - 40 = 36 ⇒ 36 = 36 ⇒ LHS = RHS So, option (a) is correct and hence there is no need to check remaining options.

Question 9

Which sequence of mathematical symbols can replace *in the given equation to balance the equation? 7 * 7 * 2 * 1 = 12

Accepted Answer

Given, 7 * 7 * 2 * 1 = 12 Let us check all the options one by one. From option (a), putting the signs in given equation, we get 7 x 7 - 2 ÷ 1 = 12 ⇒ 7 x 7 - 2 = 12 ⇒ 49 - 2 = 12 ⇒ 47 = 12 ⇒ LHS ≠ RHS So, option (a) is incorrect. From option (b), putting the signs in given equation, we get 7 + 7 - 2 x 1 = 12 ⇒ 7 + 7 - 2 = 12 ⇒ 14 - 2 = 12 ⇒ 12 = 12 Hence, option (b) is correct and there is no need to check remaining options .

Question 10

If 73 + 82 = 14, 91 + 21 = 11, then 86 + 24 =?

Accepted Answer

As, 73 + 82 = 14 ⇒ (7 - 3) + (8 + 2) = 14 ⇒ 4 + 10 = 14 ⇒ 14 = 14 and 91 + 21 = 11 ⇒ (9 - 1) + (2 + 1) = 11 ⇒ 8 + 3 = 11 ⇒ 11 = 11 Similarly, 86 + 24 = (8 - 6) + (2 + 4) = 2 + 6 = 8

Question 11

In the following question, * stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as a correct eq…

Accepted Answer

From option (b), 24 = 4 x 5 + 4 ⇒ 24 = 20 + 4 ⇒ 24 = 24

Question 12

Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 16 * 6 * 4 * 24

Accepted Answer

Apply all option one by one ∵ 16 x 6 ÷ 4 = 24 ⇒ 96/4 = 24 ⇒ 24 = 24

Question 13

Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 9 * 3 * 3 * 3 * 6

Accepted Answer

∵ 9 ÷ 3 x 3 - 3 = 6 ∵ 3 x 3 - 3 = 6 ⇒ 9 - 3 = 6 ⇒ 6 = 6

Question 14

Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 8 * 6 * 96 * 2 = 0

Accepted Answer

∵ 8 * 6 * 96 * 2 = 0 ⇒ 8 x 6 - 96 ÷ 2 = 0 ⇒ 48 - 48 = 0

Question 15

Which of the following interchange of number would make the given equation correct? 8 x 20 ÷ 3 + 9 - 5 = 38

Accepted Answer

∵ 8 x 20 ÷ 3 + 9 - 5 = 38 ⇒ 8 x 20 ÷ 5 + 9 - 3 = 38 ⇒ 8 x 4 = 9 - 3 = 38 ⇒ 32 + 9 - 3 = 38

Question 16

Which of the following interchange of sing or numbers would make the given equation correct? (18 ÷ 9) + 3 x 5 = 45

Accepted Answer

∵ (18 ÷ 9) + 3 x 5 = 45 ⇒ (18 + 9) ÷ 3 x 5 = 45 ⇒ 27 ÷ 3 x 5 = 45

Question 17

Which of the following interchange of sing or numbers would make the given equation correct? 5 + 6 ÷ 3 - 12 x 2 = 17

Accepted Answer

Apply all option one by one. ∵ 5 + 6 x 3 - 12 ÷ 2 = 17 ⇒ 5 + 18 - 6 = 17 ⇒ 23 - 6 = 17

Question 18

15 8 21 p 3 27 If 'p' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (odd number) + (Composite odd number) (ii) (Even number) + (Odd number) (iii) (Even number) → (Perfect square number), then (Perfect square number) - (Even number) (iv) (Odd number) ÷ (Prime odd number) (v) (Odd number) - (Even number) 1st Row 15 8 21 ⇒ 15 - 8 = 7 [rule (v)] ⇒ 7 + 21 = 28 [rule (i)] 2nd Row p 3 27 ⇒ 28 3 27 ⇒ 28 + 3 = 31 [rule (ii)] ⇒ 31 + 27 = 58 [rule (i)] ∴ Resultant of second row = 58

Question 19

12 64 17 20 m 16 If 'm' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (odd number) + (Composite odd number) (ii) (Even number) + (Odd number) (iii) (Even number) → (Perfect square number), then (Perfect square number) - (Even number) (iv) (Odd number) ÷ (Prime odd number) (v) (Odd number) - (Even number) 1st Row 12 64 17 ⇒ 64 - 12 = 52 [rule (iii)] ⇒ 52 + 17 = 69 [rule (ii)] = m 2nd Row 20 m 16 ⇒ 20 69 16 ⇒ 20 + 69 = 89 [rule (ii)] ⇒ 89 - 16 = 73 [rule (v)] ∴ Resultant of second row = 73

Question 20

85 17 35 16 19 r If 'r' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (odd number) + (Composite odd number) (ii) (Even number) + (Odd number) (iii) (Even number) → (Perfect square number), then (Perfect square number) - (Even number) (iv) (Odd number) ÷ (Prime odd number) (v) (Odd number) - (Even number) Solution 1st Row 85 17 35 ⇒ 85 ÷ 17 = 5 [rule (iv)] ⇒ 5 + 35 = 40 [rule (i)] = r 2nd Row 16 19 r ⇒ 16 19 40 ⇒ 16 + 19 = 35 [rule (ii)] ⇒ 35 - 40 = -5 [rule (v)] ∴ Resultant of second row = -5

Mathematical Operations Questions