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Worksheets

REAL NUMBERS-1

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

The exponent of 2 in the prime factorisation of 144 is:

a)

4

b)

5

c)

6

d)

3

2.

The LCM of two numbers is 1200. Which of the following cannot be their HCF ?

a)

600

b)

500

c)

400

d)

200

3.

If n = 23x34x54x7, then the number of consecutive zeros in n, where n is a natural number is :

a)

2

b)

3

c)

4

d)

7

4.

The sum of the exponents of the prime factors in the prime factorisation of 196 is:

a)

1

b)

2

c)

4

d)

6

5.

The number of decimal places after which the decimal expansion of the rational number  2322×5\frac{23}{2^2\times5} will terminate is 

a)

1

b)

2

c)

3

d)

4

6.

If   p1p_1  and   p2p_2  are two odd prime numbers such that  P1>P2P_1>P_2  , then  P12P22P_1^2-P_2^2  is:

a)

an even number

b)

an odd number

c)

an odd prime number

d)

a prime number

7.

If two positive integers a and b are expressible in the form a =pq2 and b =p3q where p and q being prime numbers, then LCM (a,b) is

a)

pq

b)

p3q3

c)

p3q2

d)

p2q2

8.

If two positive integers a and b are expressible in the form a =pq2 and b =p3q where p and q being prime numbers, then HCF (a,b) is

a)

pq

b)

p3q3

c)

p3q2

d)

p2q2

9.

If two positive integers m and n are expressible in the form of m = pq3 and n =p3q2, where p and q are prime numbers the HCF(m,n) is

a)

pq

b)

pq2

c)

p3q3

d)

q2q3

10.

If the LCM of a and 18 is 36 and the HCF of a and 18 is 2 ,then a =

a)

2

b)

3

c)

4

d)

1

11.

The HCF of 95 and 152 is

a)

57

b)

1

c)

19

d)

38

12.

If HCF (26,169) = 13 then LCM(26,169)=

a)

26

b)

52

c)

338

d)

13

13.

If a= 23 x 3, b= 2 x 3 x 5, c = 3n x 5 and LCM(a,b,c) =23 x 32 x 5, then n =

a)

1

b)

2

c)

3

d)

4

14.

The decimal expansion of the rational number 145871250\frac{14587}{1250}  will terminate after

a)

one decimal place

b)

two decimal place

c)

three decimal place

d)

four decimal place

15.

Which of the following are terminating decimal-: a) 16225\frac{16}{225}  b) 518\frac{5}{18}  c) 221\frac{2}{21}  d) 7250\frac{7}{250}  

a)

(a)&(b)

b)

(b)&(c)

c)

(d)

d)

None Of The Above