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E- test for class X (Chapter 1)

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

If H.C.F of two number is 1 then the two numbers are called

a)

Composite

b)

Co-prime

c)

perfect

d)

Irrational

2.

Euclid division lemma state that for any positive integers a and b there exist unique integers q and r such that a=bq+r, where r must satisfy

a)

1<r<b

b)

0<r ≤\le  b

c)

0 ≤\le  r<b

d)

0<r<b

3.

Which of the following rational number is a non terminating decimal expansion?

a)

3350\frac{33}{50}

b)

66180\frac{66}{180}

c)

615\frac{6}{15}

d)

411000\frac{41}{1000}

4.

The H.C.F of smallest composite number and the smallest prime number is

a)

0

b)

1

c)

2

d)

3

5.

For some integer "q" every odd integer is of the form

a)

q

b)

q+1

c)

2q

d)

2q+1

6.

If the H.C.F of 65 and 117 is expressible in the form 65m-117 then the value of m is

a)

4

b)

2

c)

1

d)

3

7.

 n2n^2  -1 is divisible by 8 if n is

a)

an integer

b)

a natural number

c)

an odd integer

d)

an even integer

8.

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

a)

10

b)

100

c)

504

d)

2520

9.

 If two positive integers a and b are written as a = x3y2x^3y^2  and b = x y3y^3  ; x and y are prime numbers then HCF (a,b) is

a)

xy

b)

x y2y^2  

c)

 x3y3x^3y^3  

d)

 x2y2x^2y^2  

10.

If p is a prime number and p divides  k2k^2  then p divides

a)

2k

b)

k

c)

3k

d)

4k