The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

- 9000
- 9400
- 9600
- 9800

- 9600

Greatest number of 4-digits is 9999.

L.C.M. of 15, 25, 40 and 75 is 600.

On dividing 9999 by 600, the remainder is 399.

∴ Required number (9999 - 399) = 9600.

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

If

*a*= 0.1039, then the value of 4*a*^{2}- 4*a*+ 1 + 3*a*is:The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

**Direction (for Q.No. 5):**Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

What is the two-digit number?

I.

The difference between the two-digit number and the number formed by interchanging the digits is 27.

II.

The difference between the two digits is 3.

III.

The digit at unit's place is less than that at ten's place by 3.