SSC Selection Post 2023 PYQ — Question 63

SSC Selection Post - Matriculation Level - 28 June 2023 - Shift 4 • Quantitative Aptitude • Q63

If a : b : c = 4 : 7 : 9 and b : c : d = 28 : 36 : 21, then a : b : c : d is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 16 : 28 : 36 : 21

a : b : c = 4 : 7 : 9----(1)
b : c : d = 28 : 36 : 21-------(2)

Make b & c same in both:

b : c in first = 7 : 9

b : c in second = 28 : 36

LCM method:
Make 7 → 28 ⇒ multiply first ratio by 4:

a : b : c = 4 × 4 : 7 × 4 : 9 × 4 = 16 : 28 : 36 

Now d = 21 from second ratio:

a : b : c : d = 16 : 28 : 36 : 21