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Worksheets

real number

Total questions: 15

Worksheet time: 5mins

Name
Class
Date
1.

For some integer m, every odd integer is of the form

a)

m

b)

m+ 1

c)

2m

d)

2m + 1

2.

If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:

a)

pq

b)

pq2

c)

p3q3

d)

p2q2

3.

The product of a non-zero number and an irrational number is

a)

always irrational

b)

always rational

c)

rational and irrationl

d)

one

4.

If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is

a)

4

b)

3

c)

1

d)

2

5.

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is



a)

13

b)

65

c)

875

d)

1750

6.

If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is


a)

ab

b)

a2b2

c)

a3b2

d)

a3b3

7.

The values of the remainder r, when a positive integer a is divided by 3 are:

a)

0,1,2,3,

b)

0,1

c)

0,1,2

d)

2,3,4

8.

A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?



a)

2 and 3

b)

3 and 5

c)

2,3 and 5

d)

2 and 5

9.

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is


a)

10

b)

100

c)

2060

d)

2520

10.

If n is a rational number, then 52n − 22n is divisible by



a)

3

b)

7

c)

both 3 and 7

d)

none of these

11.

The H.C.F of 441, 567 and 693 is



a)

1

b)

441

c)

126

d)

63

12.

The product of a non-zero number and an irrational number is

a)

always irrational

b)

always rational

c)

rational and irrationl

d)

one

13.

On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

a)

2520cm

b)

2525 cm

c)

2555 cm

d)

2528

14.

The decimal form of \(\frac{129}{2^{2} 5^{7} 7^{5}}\) is


Answer

Answer: c

a)

terminating

b)

non-terminating

c)

non-terminating

d)

none of the above

15.

LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by

a)

x

b)

y

c)

xy

d)

(\frac{x}{y}\)