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CBSE Questions for Class 10 Maths Real Numbers Quiz 5 - MCQExams.com

The HCF of 455 and 42 using Euclid algorithm is
  • 7
  • 6
  • 5
  • 4
Which of the following fractions will terminate when expressed as a decimal? (Choose all that apply.)
  • 1256
  • 27100
  • 10027
  • 231660
  • 7105
12=0.5
It is a terminating decimal because the denominator has a factor as ...........
  • 0
  • 1
  • 2
  • 6
Find the HCF of 26 and 455
  • 11
  • 12
  • 13
  • none of the above
The HCF of the numbers 0.48,0.72 and 0.108  is
  • 1
  • 12
  • 0.12
  • 0.012
If the denominator of a fraction has factors other than 2 and 5, the decimal expression ..............
  • repeats
  • is that of a whole number
  • has equal numerator and denominator
  • terminates
The HCF of two consecutive odd numbers is
  • 28
  • 30
  • 1
  • 5
Using the theory that any positive odd integers are of the form 4q+1 or 4q+3 where q is a positive integer, If the quotient is 4, the dividend is 19 then what will be the remainder?
  • 17
  • 2
  • 1
  • 3
There are five odd numbers 1,3,5,7,9. What is the HCF of these odd numbers?
  • 2
  • 1
  • 6
  • 5
The HCF of two consecutive even numbers is
  • 6
  • 3
  • 4
  • 2
Find HCF of 70 and 245 using Fundamental Theorem of Arithmetic. 
  • 35
  • 30
  • 15
  • 25
Three ropes are 7 m,12 m 95 cm and 3 m 85 cm long. What is the greatest possible length that can be used to measure these ropes?
  • 35 cm
  • 55 cm
  • 1 m
  • 65 cm
Identify a non-terminating repeating decimal.
  • 241600
  • 171800
  • 12322×53
  • 14523×52×72
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
  • Only 2 and 3
Which one of the following is not true?
  • 2 is an irrational number
  • If a is a rational number and b is an irrational number then ab is irrational number
  • Every surd is an irrational number
  • The square root of every positive integer is always irrational
What is the HCF of 7 and 17?
  • 7
  • 1
  • 119
  • 17
A real number 22×32×7225×53×32×7 will have _________.
  • Terminating decimal
  • Non-terminating decimal
  • Non-terminating and non-repeating decimal
  • Terminating repeating decimal
The greatest integer that divides 358,\ 376 and 232. The same remainder in each case is
  • 6
  • 7
  • 8
  • 9
Find HCF of 25 and 55:25 and 
  • 5
  • 3
  • 2
  • 4
The H. C. F. of 252, 324 and 594 is ____________.
  • 36
  • 18
  • 12
  • 6
The product of two irrational numbers is 
  • Always irrational
  • Always rational
  • Can be both rational or irrational
  • always an integer
\frac{2}{3} is a rational number whereas \frac{\sqrt{2}}{\sqrt{3}} is?
  • Also a rational number
  • An irrational number
  • Not a number
  • A natural periodic number
State whether True or False :

All the following numbers are irrationals.
(i) \dfrac { 2 }{ \sqrt { 7 }  }  (ii) \dfrac { 3 }{ 2\sqrt { 5 }  } (iii) 4+\sqrt { 2 }  (iv) 5\sqrt { 2 } 
  • True
  • False
State whether the given statement is True or False :

2-3\sqrt { 5 } is an irrational number.
  • True
  • False
State whether the given statement is True or False :

4-5\sqrt { 2 }  is an irrational number.
  • True
  • False
State whether the given statement is True or False :

5-2\sqrt { 3 }  is an irrational number.
  • True
  • False
State whether the given statement is True or False :

\sqrt { 3 } +\sqrt { 4 }  is an irrational number.
  • True
  • False
2-\sqrt { 3 }  is an irrational number.
  • True
  • False
State whether the given statement is True or False :
If p,  q are prime positive integers, then \sqrt { p } +\sqrt { q }  is an irrational number.
  • True
  • False
State whether the given statement is True or False :

The number 6+\sqrt { 2 } is irrational.
  • True
  • False
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