IIT Bombay Maths Olympiad Sample Papers

Can you please give here sample question paper for Maths Olympiad of Mathematics Association of IIT Bombay ?

[Kiran Chandar]

As you want I am here giving you sample question paper for Maths Olympiad of Mathematics Association of IIT Bombay.

Maths Olympiad Question Paper:

1. Calculate 52039(mod 41).

2. Find the largest +ve integer n such that n3+100 is divisible by n+10

3. Show that 255+1 is divisible by 11

4. Show that 11997+ 21997+…+19961997 is divisible by 1997

5 (a). Find the difference between the largest and the smallest numbers that can be formed with six digits.
(b) The average of nine consecutive natural numbers is 81. Find the largest of these numbers.
(c) What will be 77% of a number whose 55% is 240?
(d) Flowers are dropped in a basket which become double after every minute. The basket became full in 10 minutes. After how many minutes the basket was half full?

6. A number consists of 3 digits whose sum is 7. The digit at the units place is twice the digit at the ten’s place. If 297 is added to the number, the digits of the number are reversed. Find the number.

7 (a)When an integer ‘n’ is divided by 1995.The remainder is 75. What is the remainder when ‘n’ is divided by 57?

(b)Find the missing digits in the following multiplication sum:


IIT Bombay : Maths Olympiad Question Paper







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