Question

Divide 3740 into three parts in such a way that half of the first part, one-third of the second part, and one-sixth of the third part are equal. The third part is:
1. 2080
2. 2000
3. 2060
4. 2040

Answer 1

Correct Answer - Option 4 : 2040

Given:

Total number = 3740

Calculation:

Let three parts be a, b and c respectively.

⇒ a/2 = b/3 = c/6

Let a/2 = b/3 = c/6 = k

⇒ a : b : c = 2k : 3k : 6k

⇒ a : b : c = 2 : 3 : 6

∴ Third part = 6/11 × 3740 = 2040