Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
32 * 42 * 7 * 7 * 17 = 202
Option 1: ×, ÷, –, +
Option 2: ×, –, +, ÷
Option 3: +, ÷, ×, –
Option 4: +, ×, ÷, –
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Correct Answer: ×, ÷, –, +
Solution :
Given:
32 * 42 * 7 * 7 * 17 = 202
Let's check the given options –
First option:
×, ÷, –, +
⇒ 32 × 42 ÷ 7 – 7 + 17 = 202
Solving the L.H.S. of the equation –
= 32 × 42 ÷ 7 – 7 + 17
= 32 × 6 – 7 + 17
= 192 – 7 + 17
= 192 – 7 + 17
= 209 – 7
= 202 = R.H.S.
Second option:
×, –, +, ÷
⇒ 32 × 42 – 7 + 7 ÷ 17 = 202
Solving the L.H.S. of the equation –
= 32 × 42 – 7 + 7 ÷ 17
= 32 × 42 – 7 + 0.41
= 1344 – 7 + 0.41
= 1344.41 – 7
= 1337.41 ≠ 202
Third option:
+, ÷, ×, –
⇒ 32 + 42 ÷ 7 × 7 – 17 = 202
Solving the L.H.S. of the equation –
= 32 + 42 ÷ 7 × 7 – 17
= 32 + 6 × 7 – 17
= 32 + 42 – 17
= 74 – 17
= 57 ≠ 202
Fourth option:
+, ×, ÷, –
⇒ 32 + 42 × 7 ÷ 7 – 17 = 202
Solving the L.H.S. of the equation –
= 32 + 42 × 7 ÷ 7 – 17
= 32 + 42 × 1 – 17
= 32 + 42 – 17
= 74 – 17
= 57 ≠ 202
So, only the first option satisfies the given equation. Hence, the first option is correct.
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