Identify the correct mathematical statements:

1.The value of 1/4 + 1/(4×5) + 1/(4×5×6) is equal to 37/120.

2.1 + 2 ÷ {1 + 2 ÷ (1 + 1/3)} is equal to 4/5.

3.If the average of 6 numbers is 7, the average of 3 numbers of them is 5, then the average of remaining numbers is 9.

4.If 75% of a number is added to 75, then the result is number itself. Then the number is 300.

5.Largest fraction from 9/31, 6/23, 3/17, 4/11 is 9/31.

A1 & 2 only

B1, 3 & 4 only ✓ Correct

C3 & 4 only

D3, 5 & 4 only

Correct answer: (B) 1, 3 & 4 only

Explanation

Statements 1, 3 and 4 are correct.

Statement 1 : 1/4 + 1/20 + 1/120 = (30 + 6 + 1)/120 = 37/120, true.

Statement 3 : total 6 x 7 = 42, three sum 3 x 5 = 15, rest = 27, average 27/3 = 9, true.

Statement 4 : 0.75n + 75 = n gives 0.25n = 75, n = 300, true.

Statement 2 fails : the nested value works out to 9/5, not 4/5.

Statement 5 fails : 4/11 = 0.364 exceeds 9/31 = 0.290, so 9/31 is not the largest.

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