Question : Directions: Substitute the correct mathematical symbols in place of * in the following equation.
16 * 4 * 5 * 14 * 6
Option 1: ÷, –, =, ×
Option 2: –, ×, +, =
Option 3: ÷, ×, =, +
Option 4: ÷, +, =, –
Correct Answer: ÷, ×, =, +
Solution :
Let's check the options –
First option:
÷, –, =, ×
Equation after replacing the signs ⇒ 16 ÷ 4 – 5 = 14 × 6
⇒
4 – 5 = 14 × 6
= –1 ≠ 84 (L.H.S. ≠ R.H.S.)
Second option:
–, ×, +, =
Equation after replacing the signs ⇒ 16 – 4 × 5 + 14 = 6
Solving the L.H.S. of the equation –
⇒ 16 – 4 × 5 + 14
= 16 – 20 + 14
= 30 – 20
= 10 (L.H.S. ≠ R.H.S.)
Third option:
÷, ×, =, +
Equation after replacing the signs ⇒ 16 ÷ 4 × 5 = 14 + 6
⇒
4 × 5 = 20
= 20 (L.H.S. = R.H.S.)
Fourth option:
÷, +, =, –
Equation after replacing the signs ⇒ 16 ÷ 4 + 5 = 14 – 6
⇒
16 ÷ 4 + 5 = 8
= 4 + 5 = 8
= 9 ≠ 8 (L.H.S. ≠ R.H.S.)
So, only the third option satisfies the equation. Hence, the third option is correct.
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