SSC Selection Post 2022 PYQ — Question 58

SSC Selection Post - Higher Secondary Level - 01 Aug 2022 - Shift 3 • Quantitative Aptitude • Q58

Study the given table and answer the question that follows.

The table shows the total number of batteries sold by a company (in lakhs) over the years.

             

 

If a2a\over 2 =b3b\over 3=c4c\over 4=2a−3b+5ck2a-3b+5c\over k, then find the value of k.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 15.

Let a/2 = b/3 = c/4 = (2a - 3b + 5c)/k = r

So, a = 2r, b = 3r, c = 4r

Now, (2a - 3b + 5c)/k = r

⇒ [2(2r) - 3(3r) + 5(4r)]/k = r

⇒ (4r - 9r + 20r)/k = r

⇒ 15r/k = r

⇒ k = 15