The number must be divisible by 13.

Option a, b and d are divisible. C is not.

So C is not the answer.

Now the number leaves reminder 2 when divided by 3,

5,6,8,10 and 12.

So, ' Number - 2 ' should be divisible by 3, 5, 6, 8, 10 and 12

so take option A i.e 312 - 2 = 310.

But 310 is not divisible by 3.

Take option D i.e 1586 - 2 = 1584.

We see that 1584 is not divisible by 10

So mark C as answer.

In such cases and sums, simply follow these easy steps

Number is divided by 893. Remainder = 193.

Also, we observed that 893 isexactly divisible by 47.

So now simply divide the remainder by 47

So remainder is 5.

Here we need to exactly measure these lengths.

1 m = 100 cm

1 m 35 cm = 135 cm and 1 m 20 cm = 120 cm

Option 1 - 5 cm can measure 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm

Option 2 - 10 cm cannot measure 1 m 35 cm i.e 135 cm

Option 3 - 15 cm cannot measure 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm

Option 4 - 30 cm cannot measure 1 m 35 cm i.e 135 cm

Since we want greatest length, 15 > 5

Answer = 15 cm