WorksheetsREAL NUMBERS
Total questions: 15
Worksheet time: 30mins
For any positive integer a and b, there exist unique integers q and r such that a = 3q + r, where r must satisfy.
0 ≤ r < 3
1 < r < 3
0 < r < 3
0 < r ≤ 3
The values of x and y is the given figure are
x + 10, y = 14
x = 21, y = 84
x = 21, y = 25
x = 10, y = 40
If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is
3600
900
150
90
If mn = 32, where m and n are positive integers, then the value of (n)mn is
9765625
9775625
9785625
9865625
12
9
8
6
The decimal expansion of 17 ⁄ 8
will terminate after how many places of decimals?
1
2
3
Will not terminate
The decimal expansion of n is
terminating
non-terminating and non-recurring
non-terminating and recurring
does not exist.
If HCF of 55 and 99 is expressible in the form 55 m – 99, then the value of m:
4
2
1
3
Given that LCM of (91, 26) = 182 then HCF (91, 26) is
13
26
7
9
A terminating decimal
Non-terminating but repeating
Non-terminate non repeating
terminating after two places of decimal
If A = 2n + 13, B = n + 7 where n is a natural number then HCF of A and B
2
1
3
4
(-1)n + (-1)8n = 0 when n is
Any positive integer
Any odd natural number
Any even numeral number
Any negative integer
If the LCM of 12 and 42 is 10 m + 4 then the value of m is
50
8
⅕
l
4 places of decimal
3 places of decimal
2 places of decimal
1 place of decimal
n² – 1 is divisible by 8, if n is
an integer
a natural number
an odd natural number
an even natural number
