Question : Directions: Which two numbers (not digits) should be interchanged to make the given equation correct? (18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170
Option 1: 2 and 24
Option 2: 2 and 4
Option 3: 24 and 18
Option 4: 16 and 18
Correct Answer: 24 and 18
Solution : Given: (18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170
Let's check the options – First option: 2 and 24 ⇒ (18 × 24) – 2 + 10 × 160 ÷ 16 + (10 × 4) = 170 432 – 2 + 10 × 10 + 40 = 170 432 – 2 + 100 + 40 = 170 430 + 140 = 170 570 ≠ 170 Second option: 2 and 4 ⇒ (18 × 4) – 24 + 10 × 160 ÷ 16 + (10 × 2) = 170 72 – 24 + 10 × 10 + 20 = 170 72 – 24 + 100 + 20 48 + 120 = 170 168 ≠ 170 Third option: 24 and 18 ⇒ (24 × 2) – 18 + 10 × 160 ÷ 16 + (10 × 4) = 170 48 – 18 + 10 × 10 + 40 = 170 48 – 18 + 100 + 40 = 170 170 = 170 Fourth option: 16 and 18 ⇒(16 × 2) – 24 + 10 × 160 ÷ 18 + (10 × 4) = 170 32 – 24 + 1600 ÷ 18 + 40 = 170 32 – 24 + 88.88 + 40 = 170 8 + 88.8 + 40 = 170 136.88 ≠ 170
So, only the third option satisfies the given equation. Hence, the third option is correct.
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