Question

एक परीक्षा में, एक विद्यार्थी प्रत्येक सही उत्तर के लिए 4
अंक प्राप्त करता है और प्रत्येक गलत उत्तर के लिए 1 अंक
खोता है। यदि उसने सभी 75 प्रश्नों के उत्तर दिए हैं और 125
अंक प्राप्त किए हैं, तो सही प्रश्नों की संख्या है।
(A) 35
(B) 40
(C) 42
(D) 46​

Answer 1

Answer:

40

Step-by-step explanation:

40×4=160

total wrong questions =75- 40

=35

total Mark's = 160-35

=125

Answer 2

Answer:

The number of correct answer is 40

Step-by-step explanation:

Given as :

For every correct answer, marks given = 4 marks

For every incorrect answer, marks deducted = 1 mark

Total number of questions answer = 75

Total marks secured = 125

Let the number of correct questions = x

And The number of incorrect questions = y

So, According to question

The number of correct questions + The number of incorrect questions = Total number of questions answer

i.e x + y = 75  ....A

And

Total marks secured = the number of correct questions × marks given for correct answer - the number of incorrect questions × marks given for incorrect answer

i.e 125 = x × 4 - y × 1

Or, 4 x - y = 125      ...2

Solving eq 1 and 2

( 4 x - y) + (x + y) = 125 + 75

Or, (4 x + x) + (y - y) = 200

Or, 5 x = 200

∴ x = $\dfrac{200}{5}$

i.e x = 40

So, The number of correct answer = x = 40

Hence, The number of correct answer is 40 . Answer