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Real numbers quiz

Total questions: 17

Worksheet time: 10mins

Name
Class
Date
1.

Q1. Express 98 as a product of its primes.

a)

2²×7

b)

2³×7²

c)

2×7²

d)

2×6²

2.

Q2 .Find the prime factorisation of the denominator of rational number expressed as 6.12bar

In simplest form

a)

Prime factorization -33, 3×11

b)

Prime factorization-36 ,4×9

c)

Prime factorization-35 ,7×5

d)

Prime factorization-32, 4×8

3.

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

a)

Irrational

b)

Always irrational

c)

Always rational

d)

Rational

4.

If two positive integers p and q can be expressed as p =ab² and q=a³b, where a,b being prime numbers , then LCM (p,q) I'd equal to

a)

ab

b)

a²b²

c)

a³b²

d)

a³b³

5.

The decimal expansion of rational no 14587/1250 will terminate after

a)

one decimal place

b)

two decimal place

c)

three decimal place

d)

Four decimal place

e)

Five decimal place

6.

n² -1 is divisible by 8 ,if n is

a)

an odd integer

b)

an integer

c)

a natural no.

d)

an even no.

7.

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

a)

2

b)

3

c)

5

d)

1

8.

Can two numbers have 18 as their HCF and 380 as their LCM ?

a)

No

b)

yes

9.

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

a)

10

b)

100

c)

504

d)

2520

10.

The product of three consecutive positive integers is divisible by 6 . is this statement true or false

a)

True

b)

False

11.

For some integer q, every odd integer is in the form of (a)  

12.

What is the least number that must be added to 1056 so the number is divisible by 23?

a)

3

b)

2

c)

0

d)

1

13.

a and b, when divided by 7 and 6 respectively, leave remainders p and q respectively. What is the maximum value of p + q?

a)

6

b)

1

c)

11

d)

13

14.

‘s’ is called irrational if it cannot be written in the form of _____ where p and q are integers and ______

a)

p/q, p = 0

b)

p/q, p ≠ 0

c)

p/q, q ≠ 0

d)

p/q, q = 0

15.

Write down the decimal expansions of : 13/ 6250

a)

0.00416

b)

0.0208

c)

0.00512

d)

0.00208

16.

Find the HCF of 1848, 3058 and 1331.

a)

9

b)

14

c)

11

d)

13

17.

If two positive integers a and b , let a be (Doraemon) and b be (Nobita) and a= x³ +y² and b= xy³ , where x and y are prime numbers , then HCF of (a,b) is .....

a)

xy

b)

xy²

c)

x³y³

d)

x²y²