EASY
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IMPORTANT
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The sum of the digits of the number 10n-1 is 3798 . The value of n is

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Important Questions on Number System

EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 2
a, b, c, d are natural numbers such that a=bc, b=cd, c=da and d=ab . Then a+bb+cc+dd+a is equal to
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IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 3
A three-digit number with digits A, B, C in that order is divisible by 9. A is an odd digit and C is an even digit. B and C are non zero. The number of such three-digit numbers is
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IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 4
Nine numbers are written in ascending order. The middle number is also the average of the nine numbers. The average of the 5 larger numbers is 68 and the average of the 5 smaller numbers is 44 . The sum of all the numbers is
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IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 5
If the average of 20 different positive integers is 20 then the greatest possible number among these 20 numbers can be
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 6
If a, b are natural numbers such that a+b=2008, then -1a+-1b is
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 7
The number 1612 is obtained from the number 84 by raising the smaller number to the power n. Then n is
EASY
IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 8
The remainder when the number 2×3×4×2012×2013×2014×2015-2008 is divided by 2015 is
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IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 2 - Number System>EXERCISE - 2.3>Q 9
The last digit in the finite decimal representation of the number 152004 is