Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
15 * 5 * 24 * 140 * 7 * 71
Option 1: ÷, +, –, ×, =
Option 2: ×, –, ÷, +, =
Option 3: ×, –, +, ÷, =
Option 4: ×, ÷, +, –, =
Correct Answer: ×, –, +, ÷, =
Solution :
Given:
15 * 5 * 24 * 140 * 7 * 71
Let's check the options –
First option:
÷, +, –, ×, =
15 ÷ 5 + 24 – 140 × 7 = 71
On solving the L.H.S. of the given equation –
= 15 ÷ 5 + 24 – 140 × 7
= 3 + 24 – 140 × 7
= 3 + 24 – 980
= –953 ≠ 71
Second option:
×, –, ÷, +, =
15 × 5 – 24 ÷ 140 + 7 = 71
On solving the L.H.S. of the given equation –
= 15 × 5 – 24 ÷ 140 + 7
=
15 × 5 – 0.171 + 7
= 75 – 0.171 + 7
= 81.829 ≠ 71
Third option:
×, –, +, ÷, =
15 × 5 – 24 + 140 ÷ 7 = 71
On solving the L.H.S. of the given equation –
= 15 × 5 – 24 + 140 ÷ 7
= 15 × 5 – 24 + 20
= 75 – 24 + 20
= 71
Fourth option:
×, ÷, +, –, =
15 × 5 ÷ 24 + 140 – 7 = 71
On solving the L.H.S. of the given equation –
= 15 × 5 ÷ 24 + 140 – 7
= 15 × 0.208 + 140 – 7
= 3.12 + 140 – 7
= 136.12 ≠ 71
So, only the third option satisfies the equation. Hence, the third option is correct.
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