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1 . A natural number when increased by 12, equals 160 times reciprocal. The number is-

A. 16
B. 8
C. 6
D. 18

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Answer: Option B

Explanation:

Step 1: Construct the equation based on given condition.
let the required natural number be x.
According to the question,
x+12=160x
On multiplying by x on both sides, we get
x^2+12x−160=0,

Step 2: Find roots using factorization.
By splitting the middle term, we get :
⇒x^2+(20x−8x)−160=0
⇒x^2+20x−8x−160=0
⇒x(x+20)−8(x+20)=0
⇒(x+20)(x−8)=0
⇒x=8
[x≠−20 because it is not a natural number]
hence, the required natural number is 8.

বাংলাদেশ পল্লী বিদ্যুতায়ন বোর্ড || সহকারী প্রকৌশলী (28-07-2023)

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