In the following question, which mathematical operators can be used so that the expression will become correct?

6__12__3__5__15 = 11.5

This question was previously asked in

UPSSSC Chakbandi Lekhpal Official Paper 1 (Held on : 30 Sept 2019 Shift 1)

- ÷ ,– , +, x
- +, –, x, ÷
- ÷, x, –, +
- –, +, ÷, x

Option 3 : ÷, x, –, +

Given equation: 6__12__3__5__15 = 11.5

BODMAS Rule:

We will verify all the options that satisfied the equation.

1). **÷, –, +, x**

LHS = 6 ÷ 12 - 3 + 5 x 15

= 0.5 - 3 + 5 x 15

= 0.5 - 3 + 75

= 74.5 - 3

= 71.5 ≠ 11.5

LHS ≠ RHS

2).** +, –, x, ÷**

LHS = 6 + 12 - 3 × 5 ÷ 15

= 6 + 12 - 3 × 1 / 3

= 6 + 12 - 1

= 18 - 1

= 17 ≠ 11.5

LHS ≠ RHS

3). **÷ , ×, –, +**

**LHS = 6 ÷ 12 × 3 - 5 + 15**

**= 0.5 × 3 - 5 + 15**

**= 1.5 - 5 + 15**

**= 16.5 - 5**

**= 11.5.**

**LHS = RHS**

4). –, +, ÷ , ×

LHS = 6 - 12 + 3 ÷ 5 × 15

= 6 - 12 + 3/5 × 15

= 6 - 12 + 0.6 × 15

= 6 - 12 + 9

= 15 - 12

3 ≠ 11.5.

LHS ≠ RHS

Hence, "÷ , ×, –, +" is the correct answer.

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