EASY
10th CBSE
IMPORTANT
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Using Euclid's division Algorithm find HCF of 255, 1309 and 1326.

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Important Questions on Number System

MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 4
Find the greatest number which divides 260, 1314 and 1331 and leaves remainder 5 in each case.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 5
Find the greatest number which divides 121, 226 and 259 and leaves remainder 1, 2 and 3 respectively.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 6
Find the greatest possible number which can divide 76, 132 and 160 and leaves remainder same in each case.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 7
Find the greatest number which divides the numbers 90, 115 and 140 completely, when these numbers are increased by 1, 2 and 3 respectively.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 8
Show that one and only one out of n, n+4, n+8, n+12 and n+16 is divisible by 5, where n is any positive integer.
EASY
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 9
Prove that one and only one out of n, n+2, n+4 is divisible by 3 where n is any positive integer.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 10
Show that the square of any positive integer is of the form 4q or 4q+1 for some integer q.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 1 - Number System>EXERCISE>Q 11
Show that the square of any positive integer can not be of the form 6q+2 or 6q+5 for any integer q.