# Number System

The least number of five digits which has 123 as a factor is :

[A]10063

[B]10037

[C]10086

[D]10081

**10086**

The smallest number of 5 digits = 10000

Remainder on dividing 10000 by 123 = 37

∴ Required number = 10000 + (123 – 37) = 10086

Hence option [C] is the right answer.

The largest among the numbers :

and is

[A]

[B]0.12

[C]

[D]

**0.12**

∵ 0.01 < 0.02 < 0.11 < 0.12

Hence option [B] is the right answer.

Which of the following fraction is the smallest?

, , ,

[A]

[B]

[C]

[D]

;

and

Therefore, the smallest number is

Hence option [B] is the right answer.

Which of the following fraction is the smallest?

, , ,

[A]

[B]

[C]

[D]

Hence option [A] is the right answer.

Which of the following fraction is smallest?

[A]

[B]

[C]

[D]

Now it is clear that the smallest fraction is :

Hence option [D] is the right answer.

Which of the following is the largest fraction?

, , ,

[A]

[B]

[C]

[D]

The decimal equivalents of :

,

,

Obviously, 0.875 is the greatest.

∴ The largest fraction is

Hence option [A] is the right answer.

The least number among and is :

[A]

[B]

[C]

[D]

Decimal equivalents :

∴ Least Number is,

Hence option [D] is the right answer.

Which of the following number is the greatest of all?

[A]

[B]

[C]

[D]

Hence option [B] is the right answer.

The greatest value among the fractions is :

[A]

[B]

[C]

[D]

,

Hence option [D] is the right answer.

The greatest among the following numbers

[A]

[B]

[C]

[D]

LCM of 3, 2 and 6 = 6

Hence option [C] is the right answer.