Question Details

What will come in the place of question mark (?) in the following questions?
((3 × 12) ÷ 18 + 1) + 84 = 148 - ?

Options

A

43

B

50

C

61

D

70

Show Answer

Correct Answer :

Option C

61

Solution :

The correct option is 61.

We are given the algebraic equation:

((3×12)÷18+1)+84=148-?

Let the missing value in place of the question mark (?) be represented as x.

((3×12)÷18+1)+84=148-x

To solve for x, we will simplify the left-hand side step-by-step using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

Step 1: Simplify the innermost multiplication inside the bracket
Calculate 3×12:

3×12=36

Substitute this back into the equation:

(36÷18+1)+84=148-x

Step 2: Perform the division inside the bracket
Calculate 36÷18:

36÷18=2

Substitute this result back into the expression:

(2+1)+84=148-x

Step 3: Complete the addition inside the bracket
Calculate 2+1:

2+1=3

So the equation becomes:

3+84=148-x

Step 4: Perform the final addition on the left-hand side
Calculate 3+84:

87=148-x

Step 5: Solve for x
Rearrange the equation to isolate x:

x=148-87

x=61

Hence, the number that comes in place of the question mark is 61.

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