EASY
IOQM - PRMO and RMO
IMPORTANT
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a,b,c are the digits of a nine digit number abcabcabc. Calculate the quotient when this number is divided by 1001001.

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Important Questions on Number System

HARD
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 4
Find the number of integers n for which n20-n is the square of an integer.
MEDIUM
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 5
The years of 20th century and 21th century are of 4 digits. The number of years which are divisible by the product of the four digits of the year is
HARD
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 6
The number of numbers of the form 30a0b03 that are divisible by 13, where a,b are digits, is
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 7
A natural number n has exactly two divisors and (n+1) has three divisors. The number of divisors of (n+2) is
MEDIUM
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 8
If n=1010-1, the number of digits in n3 is
HARD
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 9
The last two digits of 32012, when represented in decimal notation, will be
MEDIUM
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 10
The unit's digit of the number 32011 is
HARD
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.2>Q 11
When written out completely 162011 has m digits and 6252011 has n digits. Find the value of (m+n).