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RD Chapter 1 Real Numbers Ex MCQS Solutions

Question - 11 : -
The HCF of 95 and 152, is
(a) 57
(b) 1
(c) 19
(d) 38

Answer - 11 : - (c) HCF of 95 and 152 = 19

Question - 12 : -
If HCF (26, 169) = 13, then LCM (26, 169) =
(a) 26
(b) 52
(f) 338
(d) 13

Answer - 12 : -

(c) HCF (26, 169) = 13
LCM (26, 169) = 26×169/13 = 338

Question - 13 : -
(a) 1
(b) 2
(c) 3
(d) 4

Answer - 13 : - (b)

Question - 14 : -
The decimal expansion of the rational 14587/1250 number will terminate after
(a) one decimal place
(b) two decimal place
(c) three decimal place
(d) four decimal place

Answer - 14 : - (d)

Question - 15 : -
If p and q are co-prime numbers, then p2 and q2 are
(a) co prime
(b) not co prime
(c) even
(d) odd

Answer - 15 : -

(a) p and q are co-prime, then
p2 and q2 will also be coprime

Question - 16 : -
Which of the following rational numbers have terminating decimal ?
 
(a) (i) and (ii)
(b) (ii) and (iii)
(c) (i) and (iii)
(d) (i) and (iv)

Answer - 16 : -

(d) Weknow that a rational number has terminating decimal if the prime factors of itsdenominator are in the form 2m x 5n
16/225 and 7/250 hasterminating decimals

Question - 17 : -
If 3 is the least prime factor of number a and 7 is the least prime factor of number b, then the least prime factor of a + b, is
(a) 2
(b) 3
(c) 5
(d) 10

Answer - 17 : -

(a) 3is the least prime factor of a
7 is the least prime factor of b, then
Sum of a a and b will be divisible by 2
2 is the least prime factor of a + b

Question - 18 : -
3.27¯ is
(a) an integer
(b) a rational number
(c) a natural number
(d) an irrational number

Answer - 18 : - (b) 3.27¯ is a rational number

Question - 19 : -
The smallest number by which √27 should be multiplied so as to get a rational number is
(a) √27
(b) 3√3
(c) √3
(d) 3

Answer - 19 : - (c)

Question - 20 : -
The smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal, is
(a) 310
(b) 110
(c) 3
(d) 3100

Answer - 20 : - (a) The smallest rationalnumber which should be multiplied by 13 to get a terminating

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