Question of The Day17-09-2020

Which of the following digits and symbols has to be interchanged to make the given equation correct?

27 ÷ 3 – 11 + 34 × 9 = (12)²

Answer

Correct Answer : c ) 7 and 2, × and -

Explanation :

Considering the given equation:

27 ÷ 3 – 11 + 34 × 9 = (12)²

Considering option (a): Interchanging the signs in the equation according to the option we get,

72 – 3 ÷ 11 + 34 × 9 = (17)²

Taking LHS

72 – 3 ÷ 11 + 34 × 9

In the above equation according to BODMAS we will first do division. As we can see there 3 ÷ 11 will result into fraction and on the RHS side there is an integer.

Thus, we can eliminate this option.

Now, considering option (b): Interchanging the signs in the equation according to the option we get,

27 ÷ 9 + 11 – 94 × 3 = (12)²

Taking LHS

27 ÷ 9 + 11 – 94 × 3

Using BODMAS rule

⇒ 3 + 11 – 94 × 3

⇒ 3 + 11 – 282

⇒ - 249 ≠ (12)²

Considering option (c): Interchanging the signs in the equation according to the option we get,

72 ÷ 3 × 11 + 34 – 9 = (17)²

Taking LHS

72 ÷ 3 × 11 + 34 – 9

Using BODMAS rule

⇒ 24 × 11 + 34 – 9

⇒ 264 + 34 – 9 = 289 = (17)²

Hence, (c) is the correct answer.

Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, UP SI, etc.

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Which of the following digits and symbols has to be interchanged to make the given equation correct?