CBSE Questions for Class 10 Maths Real Numbers Quiz 4 - MCQExams.com

$$\frac {23}{2^35^2}$$
  • Terminating
  • Non-terminating
  • Ambiguous
  • Data insufficient
State whether the following statement is True or False.
$$\dfrac {15}{1600}$$ has a terminating decimal expansion .
  • True
  • False
When the HCF of $$468$$ and $$222$$ is written in the form of  $$ 468 x + 222y$$ then the value of $$ x$$ and $$y$$ is 
  • $$x =-9 \ and \ y =19$$
  • $$x =9 \ and \ y = -19$$
  • $$x =9\  and \ y = 19$$
  • $$x =-9 \ and \ y =- 19$$
A rational number can be expressed as a terminating decimal if the denominator has factors:
  • $$2$$ or $$5$$
  • $$2, 3$$ or $$5$$
  • $$3$$ or $$5$$
  • None of these
 One and only one out of  $$n, n + 4, n + 8, n + 12\  and \ n + 16 $$ is ......(where n is any positive integer)
  • Divisible by 5
  • Divisible by 4
  • Divisible by 10
  • Divisible by 12
State TRUE or FALSE
$$\displaystyle\frac{(2+\sqrt{2})(3-\sqrt{5})}{(3+\sqrt{5})(2-\sqrt{2})}$$ is Rational.
  • True
  • False
 The square of any positive odd integer for some integer $$ m$$ is of the form 
  • $$7m+1$$
  • $$8m+1$$
  • $$8m+3$$
  • $$7m+2$$
If any positive even integer is of the form $$4q$$ or $$4q + 2$$, then $$q$$ belongs to:
  • whole number
  • irrational number
  • Both A & B
  • none of these
The number $$\displaystyle\frac{3-\sqrt{3}}{3+\sqrt{3}}$$ is 
  • Rational
  • Irrational
  • Both
  • Can't say
Using Euclid's division algorithm, find H.C.F.of $$56, 96$$ and $$404.$$
  • $$8$$
  • $$16$$
  • $$12$$
  • $$4$$
If the square of an odd positive integer can be of the form $$6q + 1 $$ or  $$6q + 3$$ for some $$ q$$ then q belongs to:
  • integers
  • irrational
  • real
  • none of these
Consider the following statements :
1. $$\displaystyle \frac{1}{22}$$ can not be written as terminating decimal 

2. $$\displaystyle \frac{2}{15}$$ can be written as a terminating decimal 

$$\displaystyle \frac{1}{16}$$ can be written as a terminating decimal 

Which of the statements given above is/are correct ?
  • $$1$$ only
  • $$3$$ only
  • $$1$$ and $$3$$
  • $$2$$ and $$3$$
What is the H.C.F. of two co-prime numbers ?
  • $$1$$
  • $$0$$
  • $$2$$
  • none of these
If the H.C.F. of $$A$$ and $$B$$ is $$24$$ and that of $$C$$ and $$D$$ is $$56,$$ then the H.C.F. of $$A, B, C$$ and $$D$$ is
  • $$4$$
  • $$12$$
  • $$8$$
  • $$3$$
The HCF of 136, 170 and 255 is: 
  • $$13$$
  • $$15$$
  • $$17$$
  • $$1$$
Apply Euclid"s theorem for $$17, 5$$.
  • $$17=5\times 3+2$$
  • $$17=5\times 2+7$$
  • $$17=5\times 4-3$$
  • None of the above
The HCF of $$135$$ and $$225$$ using Euclid algorithm is
  • $$41$$
  • $$42$$
  • $$43$$
  • $$45$$
Find the HCF of $$867$$ and $$255$$ using Euclid theorem.
  • $$50$$
  • $$51$$
  • $$52$$
  • $$53$$
The HCF of 75 and 180 is equal to
  • $$11$$
  • $$12$$
  • $$13$$
  • $$15$$
If we apply Euclid"s division algorithm for $$20$$ using $$ 8$$ then the correct answer will be:
  • $$20=8\times 2+4$$
  • $$20=8\times 4+0$$
  • $$20=8\times 3+3$$
  • none of the above
The HCF of $$196$$ and $$38416$$ using Euclid algorithm is
  • $$191$$
  • $$192$$
  • $$193$$
  • $$196$$
If $$\displaystyle d=\frac { 1 }{ { 2 }^{ 3 }\times { 5 }^{ 7 } } $$ is expressed as a terminating decimal, how many non zero digits will $$d$$ have?
  • One
  • Two
  • Three
  • Seven
  • Ten
The LCM of 54 90 and a third number is 1890 and their HCF is 18 The third number is
  • 36
  • 180
  • 126
  • 108
The the HCF of $$248$$ and $$492$$ is equal to
  • $$2$$
  • $$3$$
  • $$4$$
  • $$5$$
For finding the greatest common divisor of two given integers. A method based on the division algorithm is used called ............
  • Euclid's division algorithm
  • Euclid's addition algorithm
  • Euclid's subtraction algorithm
  • Euclid's multiplication algorithm
Which of the following is terminating decimal?
$$\cfrac{23}{90}, \cfrac{111}{148}, \cfrac{29}{145}, \cfrac{1}{6}$$
  • $$\cfrac{111}{148}$$
  • $$\cfrac{23}{90}$$
  • $$\cfrac{29}{145}$$
  • $$\cfrac{1}{6}$$
If the denominator of a fraction has only factors of $$2$$ and factors of $$5$$, the decimal expression ............. 
  • has equal numerator and denominator
  • becomes a whole number
  • does not terminate
  • terminates
$$\sqrt {5}$$ is an ......... number.
  • rational
  • whole
  • integer
  • irrational
............. states that for any two positive integers $$a$$ and $$b$$ we can find two whole numbers $$q$$ and $$r$$ such that $$a = b \times q + r$$ where $$0 \leq r < b .$$
  • Euclid's addition lemma
  • Euclid's subtraction lemma
  • Euclid's multiplication lemma
  • Euclid's division lemma
The H.C.F. of the numbers $$16.5, 0.90$$ and $$15$$ is
  • $$16.5$$
  • $$0.90$$
  • $$15$$
  • $$0.3$$
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