CBSE Class 10 Mathematics Real Numbers MCQs Set C

Question : C10M: A is the first letter for
a) Apple
b) Mobile Phone
c) Glass
d) Aeroplane
Answer : Aeroplane

Question :  √5 is
a) an irrational number
b) a rational number
c) none of these
d) an integer
Answer : an irrational number

Question : The decimal expansion of irrational number is
a) non-terminating non-repeating
b) terminating
c) non-terminating repeating
d) none of these
Answer : non-terminating non-repeating

Question :  The decimal expansion of number 29/2² X 5X7 is
a) non-terminating repeating
b) none of these
c) terminating
d) non-terminating non-repeating
Answer : non-terminating repeating

Question :  If two positive integers a and b are written as a = x ⁴ y² and b = x² y³, a, b are prime numbers, then HCF (a, b) is
a) x² y²
b) x² y
c) xy
d) x⁴ y³
Answer :  x² y²

Question :  If two positive integers a and b are written as a = xy² and b = x ³ y, a, b are prime numbers, then LCM
a) x³ y²
b) none of these
c) xy
d) x² y²
Answer :  x³ y²

Question : The product of LCM and HCF of two numbers m and n is
a) m x n
b) none of these
c) m - n
d) m + n
Answer : m x n

Question : The largest number which divides 615 and 963 leaving remainder 6 in each case is
a) 82
b) 95
c) 87
d) 93
Answer : 82

Question : If the HCF of 65 and 117 is expressible in the form 65m –117, then the value of m is
a) 2
b) 4
c) 11
d) 3
Answer : 2

Question : The product of a non-zero rational and an irrational number is
a) always irrational
b) one
c) rational or irrational
d) always rational
Answer : always irrational

Question : The product of two irrational numbers is
a) rational or irrational
b) one
c) always rational
d) always irrational
Answer : rational or irrational

Question : The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
a) 2520
b) 504
c) 100
d) 10
Answer : 2520

Question : For some integer m, every even integer is of the form
a) 2 m
b) 2m+1
c) m+1
d) m
Answer : 2 m

Question : For some integer q, every odd integer is of the form
a) 2q +1
b) 2q
c) q +1
d) q
Answer : 2q +1

Question : A ……… is a proven statement used for proving another statement.
a) axiom
b) theorem
c) lemma
d) algorithm

Question : The product of non-zero rational ad an irrational number is
a) always rational
b) always irrational
c) rational or irrational
d) one

Question : The HCF of smallest composite number and the smallest prime number is
a) 0
b) 1
c) 2
d) 3

Question : Given that HCF(1152, 1664) = 128 the LCM(1152, 1664) is
a) 14976
b) 1664
c) 1152
d) none of these

Question : The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, then the other number is
a) 23
b) 207
c) 1449
d) none of these

Question : Which one of the following rational number is a non-terminating decimal expansion:
a) 33/50
b) 66/180
c) 6/15
d) 41/1000

Question : A number when divided by 61 gives 27 quotient and 32 as remainder is
a) 1679
b) 1664
c) 1449
d) none of these

Question : The product of L.C.M and H.C.F. of two numbers is equal to
a) Sum of numbers
b) Difference of numbers
c) Product of numbers
d) Quotients of numbers

Question : L.C.M. of two co-prime numbers is always
a) product of numbers
b) sum of numbers
c) difference of numbers
d) none

Question : What is the H.C.F. of two consecutive even numbers
a) 1
b)2
c) 4
d) 8

Question : What is the H.C.F. of two consecutive odd numbers
a) 1
b) 2
c) 4
d) 8

Question : The missing number in the following factor tree is
a) 2
b) 6
c) 3
d) 9

Question :  π is
a) a natural number
b) not a real number
c) a rational number
d) an irrational number

Question : The decimal expansion of  π
a) is terminating
b) is non terminating and recurring
c) is non terminating and non recurring
d) does not exist.

Question :  For some integer q, every even integer is of the form
a) q
b) q + 1
c) 2q
d) none of these

Question : Which of the following is a rational number?
a) √36
b) √12
c) √14
d) √21

Question : If a and b are positive integers, then HCF (a, b) x LCM (a, b) =
a) a x b
b) a + b
c) a – b
d) a/b

Question : If the HCF of two numbers is 1, then the two numbers are called
a) composite
b) relatively prime or co-prime
c) perfect
d) irrational numbers

Question : The decimal expansion of 93 /1500 will be
a) terminating
b) non-terminating
c) non-terminating repeating
d) non-terminating non-repeating.

Question :  √3 is
a) a natural number
b) not a real number
c) a rational number
d) an irrational number

Question : The HCF of 52 and 130 is
a) 52
b) 130
c) 26
d) 13

Question : For some integer q, every odd integer is of the form
a) q
b) q + 1
c) 2q
d) none of these

Question :  Which of the following is not a rational number?
a) √6
b) √9
c) √25
d) √36

Question : Euclid’s 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 <= b
c) 0 <= r < b
d) 0 < r < b

Question : For some integer m, every even integer is of the form
a) m
b) m + 1
c) 2m
d) 2m + 1

Question : For some integer q, every odd integer is of the form
a) q
b) q + 1
c) 2q
d) 2q + 1

Question : n² – 1 is divisible by 8, if n is
a) an integer
b) a natural number
c) an odd integer
d) an even integer

Question : 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

Question : The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
a) 13
b) 65
c) 875
d) 1750

Question : If two positive integers a and b are written as a = x³y² and b = xy³ ; x, y are prime numbers, then HCF (a, b) is
a) xy
b) xy²
c) x³y³
d) x²y²

Question : If two positive integers p and q can be expressed as p = ab² and q = a³b; a, b being prime numbers, then LCM (p, q) is
a) ab
b) a²b²
c) a³b²
d) a³b³

Question : The product of a non-zero rational and an irrational number is
a) always irrational
b) always rational
c) rational or irrational
d) one

Question : 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

Question : The decimal expansion of the rational number 14587 1250 will terminate after:
a) one decimal place
b) two decimal places   
c) three decimal places
d) four decimal places

Question : The decimal expansion of the rational number 2 33 2 .5 will terminate after
a) one decimal place
b) two decimal places
c) three decimal places
d) more than 3 decimal places