Question

If 7 marks are awarded to right answer and 4 marks are penalty for wrong answer. Then prabhats score was 263. If he attempted 58 questions then find number of correctly attempted

Answer 1

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Answer 2

The number of correctly attempted answers is 45.

• A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.
• The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfil the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

Here, according to the given information, we are given that,

Prabhat's score was 263 and he attempted 58 questions in total.

Let the number of right answers be x. Then, the number of wrong answers is $(58-x)$.

Also, we are given that, 7 marks are awarded to right answer and 4 marks are penalty for wrong answer.

Then, we get,

$7x-4(58-x) = 263.$

Or, $7x-232+4x=263.$

Or, $11x-232=263.$

Or, $11x = 495.$

Or, x = 45.

Hence, the number of correctly attempted answers is 45.

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