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- Multiple ChoicePlease save your changes before editing any questions.
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

0<r<b

0 $\le$ r<b

0<r $\le$ b

0 $\le$ r $\le$ b

- Multiple ChoicePlease save your changes before editing any questions.
The decimal expansion of 21/24 will terminate after how many places of decimal?

1

2

3

4

- Multiple ChoicePlease save your changes before editing any questions.
Given that HCF (253, 440)= 11 and LCM (253, 440) = 253 x R. The value of R is:

400

40

440

253

- Multiple ChoicePlease save your changes before editing any questions.
The rational number of decimal number 0.6¯ is:

33/50

2/3

111/167

1/3

- Multiple ChoicePlease save your changes before editing any questions.
Which of the following rational numbers have non-terminating repeating decimal expansion

31/3125

17/512

23/200

64/455

- Multiple ChoicePlease save your changes before editing any questions.
The product of a non-zero rational and an irrational is

Always irrational

Always rational

Rational or irrational

none

- Multiple ChoicePlease save your changes before editing any questions.
Which of the following is rational?

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

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

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

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

- Multiple ChoicePlease save your changes before editing any questions.
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 = bq + r, 0<r<b

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

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

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

- Multiple ChoicePlease save your changes before editing any questions.
If d= LCM (36, 198) then the value of d is:

396

198

36

1

- Multiple ChoicePlease save your changes before editing any questions.
For some integer 'a' every even integer is of the form:

a+1

2a

a

2a + 1

- Multiple ChoicePlease save your changes before editing any questions.
A rational number

An irrational number

An Integer

A Natural number

- Multiple ChoicePlease save your changes before editing any questions.
Of the four numbers, which is a rational number

2.1232123.....

- Multiple ChoicePlease save your changes before editing any questions.
When Euclid's lemma is used for a < b as a = bq+r, then which of the following is true

b=0

r=0

q=0

a=0

- Multiple ChoicePlease save your changes before editing any questions.
n

^{2 }-1 is divisible by 8, if n isan integer

a natural number

an odd integer

an even integer

- Multiple ChoicePlease save your changes before editing any questions.
If two positive integers a and b are written as a =x

^{5}y^{2}and b=x^{2}y^{3}(x and y are prime numbers) then HCF (a,b) isxy

x

^{5}y^{3}x

^{3}y^{3}x

^{2}y^{2} - Multiple ChoicePlease save your changes before editing any questions.
The product of two consecutive integers is divisible by

2

3

5

7

- Multiple ChoicePlease save your changes before editing any questions.
one decimal place

two decimal places

three decimal places

more than three decimal places

- Multiple ChoicePlease save your changes before editing any questions.
one decimal place

two decimal places

three decimal places

four decimal places

- Multiple ChoicePlease save your changes before editing any questions.
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed is:

22

16

36

42

- Multiple ChoicePlease save your changes before editing any questions.
Which one of the following is an irrational number?

0.371371371..

2.39

4.010010001..

2.4

- Fill in the BlankPlease save your changes before editing any questions.
If p, q are two prime numbers, then LCM (p, q) is

- Fill in the BlankPlease save your changes before editing any questions.
If HCF of 65 and 117 is expressible in the form 65 m -117, then the value of m is

- Fill in the BlankPlease save your changes before editing any questions.
The largest number which divides 125 and 70, leaving remainders 8 and 5 respectively is

- Fill in the BlankPlease save your changes before editing any questions.
The reciprocal of an irrational number is

- Multiple ChoicePlease save your changes before editing any questions.
If 'a' and 'b' are co-prime, then a

^{2}and b^{2}areco-prime

not co-prime

odd numbers

even numbers