Selection Post Phase XIV (12th)19 Sep 2026Shift 2Ratio and Proportion

If x : y : z = 5 : 6 : 7 and 3x − 2y + z = 40, then the value of z is:

यदि x : y : z = 5 : 6 : 7 है और 3x − 2y + z = 40 है, तो z का मान है:

Answer और ExplanationAnswer and explanation

Answer: (C) 28

माना x = 5k, y = 6k, z = 7k।
3(5k) − 2(6k) + 7k = 40 ⇒ 15k − 12k + 7k = 40
10k = 40 ⇒ k = 4
z = 7 × 4 = 28
✓
z का मान 28 है।
Let x = 5k, y = 6k, z = 7k.
3(5k) − 2(6k) + 7k = 40 ⇒ 15k − 12k + 7k = 40
10k = 40 ⇒ k = 4
z = 7 × 4 = 28
✓
The value of z is 28.

Source: Selection Post Phase XIV (12th) · 19 Sep 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 19 Sep 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.