Free Printable real number class ten

1.

LCM of 396,1080

a)

36

b)

11880

c)

1080

2.

Euclid Division Lemma is used to find

a)

HCF

b)

LCM

c)

Both HCF and LCM

3.

Euclid Division Lemma is used to find

a)

HCF

b)

LCM

c)

Both HCF and LCM

4.

HCF of (126,156)

(a)

5.

LCM of 396,1080

a)

36

b)

11880

c)

1080

6.

The factors of 800

a)

2^6.5^2

b)

2^5.5^3

c)

2^5.5^2

7.

22/7 is

a)

Rational number

b)

Irrational numbers

8.

5-2√3

a)

Rational

b)

Irrational

c)

Neither

9.

The decimal expansion of the rational number
$\frac{33}{2^2\cdot5}$ will terminate after

a)

one decimal place

b)

two decimal places

c)

three decimal places

d)

more than 3 decimal places

10.

Euclid’s division lemma states that for two 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 ≤ b

c)

0 ≤ r < b

d)

0 < r < b

11.

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

a)

q

b)

q + 1

c)

2q

d)

2q + 1

12.

If the HCF 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

13.

$Can\ \ a\ number\ \ of\ a\ form\ \ 4^nend\ in\ ‘0’?$

a)

Yes

b)

No

c)

Sometimes yes sometimes no

d)

None of these

14.

Find LCM of 6ab and 9abp

a)

18ab

b)

18abp

c)

6ab

d)

6abp

15.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

16.

Write the HCF of smallest composite number and smallest prime number

a)

1

b)

2

c)

3

d)

4

17.

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?

a)

12:20

b)

12:11

c)

12:12

d)

none of these

18.

If a and b are two positive integers such that a = 14b. Find the HCF of a and b.

a)

a

b)

b

c)

14b

d)

14a

19.

The ratio between the LCM and HCF of 5, 15, 20 is:

a)

9:1

b)

4:3

c)

11:1

d)

12:1

20.

Find the value of: $\left(\left(16\right)^{-2}\right)^{\frac{1}{4}}$

a)

1/4

b)

1/2

c)

4

d)

1/16

21.

We can plot any real number on number line.

a)

True

b)

False

22.

Which of the following is equal to x²?

a)

x⁴ / x²

b)

x⁴ X x²

c)

x⁴ + x²

d)

x⁴- x²

23.

Which of the following is an irrational?

a)

√5

b)

√81

c)

√64

d)

√225

24.

The decimal expansion of an irrational number may be

a)

Non terminating and repeating

b)

non terminating and non repeating

c)

Terminating

d)

Terminating and repeating

25.

The product of a rational and an irrational numbers is

a)

Always an irrational number

b)

Always an integer

c)

Can not say

d)

Always a rational number

26.

In between two rational number there is/are

a)

One rational number

b)

Two irrational numbers

c)

Infinitely many rational numbers

d)

only irrational number exist

27.

Real number consist of

a)

only rational numbers

b)

only irrational numbers

c)

neither rational nor irrational number

d)

both rational and irrational numbers

28.

How would 5/9 be classified?

a)

rational and real

b)

whole and integer

c)

only real

d)

only irrational

29.

What is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

30.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

31.

A never ending decimal that doesn't repeat is which type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

32.

n²-1 is divisible by 8, if n is

a)

an integer

b)

a natural number

c)

an odd integer

d)

an even integer

33.

When Euclid's lemma is used for a < b as a = bq+r, then which of the following is true

a)

b=0

b)

r=0

c)

q=0

d)

a=0

34.

Of the four numbers, which is a rational number

a)

b)

c)

2.1232123.....

d)

35.

a)

A rational number

b)

An irrational number

c)

An Integer

d)

A Natural number

36.

For some integer 'a' every even integer is of the form:

a)

a+1

b)

2a

c)

a

d)

2a + 1

37.

If d= LCM (36, 198) then the value of d is:

a)

396

b)

198

c)

36

d)

1

38.

Euclid's division lemma states that if a and b are two positive integers, then there exist unique integers q and r such that:

a)

a = bq + r, 0<r<b

b)

a = bq + r, 0 $\le$ r $\le$ b

c)

a = bq + r, 0 $\le$ r< b

d)

a = bq + r, 0 $\ge$ r $\le$ b

39.

Which of the following is rational?

a)

$\sqrt{6}$ + $\sqrt{9}$

b)

$\sqrt{2}$ + $\sqrt{4}$

c)

$\sqrt{4}$ + $\sqrt{9}$

d)

$\sqrt{3}$ + $\sqrt{9}$

40.

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

a)

Always irrational

b)

Always rational

c)

Rational or irrational

d)

none

41.

Which of the following rational numbers have non-terminating repeating decimal expansion

a)

31/3125

b)

17/512

c)

23/200

d)

64/455

42.

The rational number of decimal number 0.6¯ is:

a)

33/50

b)

2/3

c)

111/167

d)

1/3

43.

Given that HCF (253, 440)= 11 and LCM (253, 440) = 253 x R. The value of R is:

a)

400

b)

40

c)

440

d)

253

44.

The decimal expansion of 21/24 will terminate after how many places of decimal?

a)

1

b)

2

c)

3

d)

4

45.

Euclid's Division lemma states that for any tow positive integers a and b, there exists unique integers q and r such that a=bq+r where r must satisfy

a)

0<r<b

b)

0 $\le$ r<b

c)

0<r $\le$ b

d)

0 $\le$ r $\le$ b

46.

Which of the following real numbers has the smallest value?

a)

7.1

b)

6pi

c)

20/3

d)

square root of 51

47.

(√3+5)-(√3-5) is (a) number.

48.

All irrational numbers are

a)

Natural

b)

Whole

c)

Integer

d)

Real

49.

Classify this number: ⅚

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

50.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

51.

what is H.C.F. of 29 and 31

a)

5

b)

1

c)

23

d)

29

52.

LCM of 19 and 23 is

a)

437

b)

247

c)

3258

d)

None

53.

When divisor is 3, square of any integer should be of the form of _______,____

(a)

54.

as per euclid division lemma when divisor is 3 then possible integers are____

a)

3q,3q+1,3q+2

b)

3q+1,3q+2,3q+3

c)

3,4,5,6

d)

None

55.

When divisor is 4 then possible remainders are-------'

a)

3,4,5

b)

1,2,3

c)

0,1,2,3

d)

Greater than 5

56.

Last digit of 6 power n is‐----

a)

6

b)

0

c)

5

d)

7

57.

L.C.M of 17,23 is________

a)

391

b)

231

c)

651

d)

567

58.

H.C.F. of any two prime numbers is (a)

59.

Which of the following are coprimes

a)

4,6

b)

8,9

c)

5,10

d)

10,12

60.

Which of the following is composite number

a)

2

b)

9

c)

5

d)

11

real number class ten

Total questions: 60

Worksheet time: 51mins

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