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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: +, ×, ÷, –


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

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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