Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct?
14 + 39 – (√(144) ÷ 4) + (5 × 3) – 6 = 63
Option 1: 14 and 6
Option 2: 5 and 39
Option 3: 4 and 3
Option 4: 4 and 6
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Correct Answer: 4 and 3
Solution :
Given:
14 + 39 – (√(144) ÷ 4) + (5 × 3) – 6 = 63
Let's check the options –
First option:
14 and 6
On interchanging the given numbers, the equation becomes –
⇒ 6 + 39 – (√(144) ÷ 4) + (5 × 3) – 14 = 63
Solving the L.H.S. of the equation –
= 6 + 39 – (12 ÷ 4) + 15 – 14
= 6 + 39 – 3 + 15 – 14
= 60 – 3 – 14
= 43 ≠ 63
Second option:
5 and 39
On interchanging the given numbers, the equation becomes –
⇒ 14 + 5 – (√(144) ÷ 4) + (39 × 3) – 6 = 63
Solving the L.H.S. of the equation –
= 14 + 5 – (12 ÷ 4) + 117 – 6
= 14 + 5 – 3 + 117 – 6
= 136 – 3 – 6
= 127 ≠ 63
Third option:
4 and 3
On interchanging the given numbers, the equation becomes –
⇒ 14 + 39 – (√(144) ÷ 3) + (5 × 4) – 6 = 63
Solving the L.H.S. of the equation –
= 14 + 39 – (12 ÷ 3) + 20 – 6
= 14 + 39 – 4 + 20 – 6
= 73 – 4 – 6
= 63
Fourth option:
4 and 6
On interchanging the given numbers, the equation becomes –
⇒ 14 + 39 – (√(144) ÷ 6) + (5 × 3) – 4 = 63
Solving the L.H.S. of the equation –
= 14 + 39 – (12 ÷ 6) + 15 – 4
= 14 + 39 – 2 + 15 – 4
= 68 – 2 – 4
= 62 ≠ 63
So, only the equation in the third option satisfies the R.H.S. of the given equation. Hence the third option is correct.
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