Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(134 – 13) ÷ 27 × 3 – 6 = 11
Option 1: 6 and 13
Option 2: 3 and 6
Option 3: 27 and 11
Option 4: 11 and 13
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Correct Answer: 27 and 11
Solution :
Given:
(134 – 13) ÷ 27 × 3 – 6 = 11
Replace the given numbers in the options with the original numbers in the given equation.
First option:
6 and 13
⇒ (134 – 6) ÷ 27 × 3 – 13 = 11
Solving the L.H.S. of the equation –
= 128 ÷ 27 × 3 – 13
= 14.23 – 13
= 1.23 ≠ 11
Second option:
3 and 6
⇒ (134 – 13) ÷ 27 × 6 – 3 = 11
Solving the L.H.S. of the equation –
= 121 ÷ 27 × 6 – 3
= 26.89 – 3
= 23.89 ≠ 11
Third option:
27 and 11
⇒ (134 – 13) ÷ 11 × 3 – 6 = 27
Solving the L.H.S. of the equation –
= 121 ÷ 11 × 3 – 6
= 33 – 6
= 27 = R.H.S.
Fourth option:
11 and 13
⇒ (134 – 11) ÷ 27 × 3 – 6 = 13
Solving the L.H.S. of the equation –
= 121 ÷ 27 × 3 – 6
= 13.45 – 6
= 7.45 ≠ 13
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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