Question

In a competitive exam, 5 marks are awarded for every correct answer and for every wrong answer, 2 marks are deducted. Sathwik scored 32 marks in this examination. If 4 marks had been awarded for each correct answer and 1 mark had been deducted for each incorrect answer, Sathwik would have scored 34 marks. If Sathwik attempted all the questions, how many questions were there in the test? TCS

Answer 1

Step-by-step explanation:

In given Question:-

Correct answer =5x and wrong answer=2y

Correct answer =4x and wrong answer= 1y

So,

5x -2y = 32

4x-2y =34------*2

Now

5x-2y =32

8x-4y=68

By solving

3x=36

x=12

Now to find ‘y’

5*12 -2y =32

60 -2y= 32

y=14

By adding x+y

12+24 =26

Questions in the test =26.

Answer 2

Given :- In a competitive exam, 5 marks are awarded for every correct answer and for every wrong answer, 2 marks are deducted. Sathwik scored 32 marks in this examination. If 4 marks had been awarded for each correct answer and 1 mark had been deducted for each incorrect answer, Sathwik would have scored 34 marks. If Sathwik attempted all the questions, how many questions were there in the test ?

Solution :-

Let us assume that, Sathwik answered x Questions correctly and y questions he gave wrong answer.

So,

→ Total marks for correct answer = 5 * x = 5x

and,

→ Total marks deducted for wrong answer = 2y .

given that, he scored 32 marks in this examination .

So,

→ 5x - 2y = 32 -------------- Eqn .(1)

Now, we have , If 4 marks had been awarded for each correct answer and 1 mark had been deducted for each incorrect answer, Sathwik would have scored 34 marks.

So,

→ 4x - y = 34 ------------- Eqn. (2) .

Multiply Eqn.(2) by 2 and subtracting Eqn.(1) from Eqn.(2) after that,

→ 2(4x - y) - (5x - 2y) = 2*34 - 32

→ 8x - 2y - 5x + 2y = 68 - 32

→ 3x = 36

dividing both sides by 3,

→ x = 12.

Putting value of x in Eqn.(2) ,

→ 4*12 - y = 34

→ y = 48 - 34

→ y = 14.

Therefore,

→ Total questions in the test = x + y = 12 + 14 = 26 (Ans.)

Learn more :-

16

If (x+10)% of 240 is 60% more than x% of 180. then 15% of (x+20) is what percent less than 25% of x?

https://brainly.in/question/26616878