Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
24 * 12 * 35 * 24 * 6 * 319
Option 1: +, –, ÷, ×, =
Option 2: ×, +, –, ÷, =
Option 3: ÷, +, –, ×, =
Option 4: ×, ÷, +, –, =
Correct Answer: ×, +, –, ÷, =
Solution :
Given:
24 * 12 * 35 * 24 * 6 * 319
Let's check the options –
First option:
+, –, ÷, ×, =
24 + 12 – 35 ÷ 24 × 6 = 319
On solving the L.H.S. of the given equation –
= 24 + 12 – 35 ÷ 24 × 6
= 24 + 12 – 8.75
= 27.25
≠ 319
Second option:
×, +, –, ÷, =
24 × 12 + 35 – 24 ÷ 6 = 319
On solving the L.H.S. of the given equation –
= 24 × 12 + 35 – 24 ÷ 6
=
24 × 12 + 35 – 4
= 288 + 35 – 4
= 319
Third option:
÷, +, –, ×, =
24 ÷ 12 + 35 – 24 × 6 = 319
On solving the L.H.S. of the given equation –
= 24 ÷ 12 + 35 – 24 × 6
= 2 + 35 – 24 × 6
= 2 + 35 – 144
= –107
≠ 319
Fourth option:
×, ÷, +, –, =
24 × 12 ÷ 35 + 24 – 6 = 319
On solving the L.H.S. of the given equation –
= 24 × 12 ÷ 35 + 24 – 6
= 24 × 0.34 + 24 – 6
= 8.16 + 24 – 6
= 26.16
≠ 319
So, only the second option satisfies the equation. Hence, the second option is correct.
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