MCQ Worksheet for Class 10 Maths Chapter 1- Real Numbers

CBSE NCERT Class 10 Real Numbers Worksheet


Following Are The Questions : 

Q1. HCF X LCM for the numbers 50 and 20 is

(a) 10       (b) 100       (c) 1000      (d) 50

Q2. If HCF ( 72 , 120 ) = 24 , then LCM ( 72 , 120 ) is

(a) 240     (b) 360        (c) 1728          (d) 2880

Q3. Given that LCM(91,26 ) = 182 , HCF ( 91, 126 ) is

(a) 13      (b) 26           (c) 17             (d) 9

Q4. If the HCF and LCM of two numbers 12 and 180 , and one of the numbers is 36 then the other number is

(a) 540        (b) 180         (c) 60          (d) 12

Q5. If HCF ( a, 8 ) = 4 and LCM (a, 8 ) = 24 , then a is

(a) 8           (b) 10            (c) 12             (d) 14

Q6. Given that HCF ( 2520 , 6600 ) = 120 and LCM (2520, 6600 ) = 252k , then the value of k is

(a) 165        (b) 550         (c) 990           (d) 1650

Q7. If the HCF of 65 and 117 is in the form of 65m-117 , then the value of m is

(a) 1            (b) 2                   (c) 3              (d) 4

Q8. The product of the HCF and LCM of the smallest prime number and the smallest composite number is

(a) 2              (b) 4                     (c) 6                     (d) 8

Q9. If two positive integers a and b are written as a = x3y2 and b = xy3  where x, y  are prime numbers , HCF of a and b is

(a) xy              (b) xy2                 (c) x3y3                   (d) x2y2

Q10. If two positive integers p and q are written as p = ab2 and q = a3b , where a and b are prime numbers , then LCM of p and q is

(a) ab            (b) a2b2             (c) a3b2                     (d) a3b3

Q11. The largest number which divides 70 and 125 , leaving remainders 5 and 8 respectively , is

(a) 13              (b) 65                 (c) 875                  (d) 1750

Q12. For some integer m , every even integer is of the form

(a) m             (b) m+1            (c) 2m                     (d) 2m+1

Q13. For some integer m , every odd integer is of the form

(a) m              (b) m+1           (c) 2m                      (d) 2m+1

Q14. n 2-1 is divisible by 8 , if n is

(a) an integer (b) a natural number  (c) an odd integer (d) an even integer

Q15. The LCM of the smallest two digit number and the smallest composite  number is

(a) 12                  (b) 4                  (c) 20                       (d) 40

Q16. If n is any natural number , then which of the following numbers end with 0 :

(a) (3×2)n                 (b)(5X2)n          (c)(6X2)n                   (d) (4X2)n

Q17. If n is a natural number , then 8n ends with an even digit except

(a) 0                        (b) 2                        (c) 4                            (d) 6

Q18. If n is a natural number , then 12n will always end with an even digit except

(a) 4                 (b) 6                          (c) 8                                 (d) 0

Q19. (3 + 2 )2 is

(a) not a rea number                                      (b) a rational number

(c) an irrational number                                 (d) an integer

Q20. The number (5 +2) / (5 – 2 ) is

(a) a rational number                                       (b) an irrational number

(c) an integer                                                       (d) a natural number

Q21. If x is a positive rational number which is not a perfect square , then –5√x is

(a) a negative integer                                        (b) an integer

(c) a rational number                                        (d) an irrational number

Q22. A rational number p/q , p and q are co-prime , has a terminating decimal expansion  if the prime factorization of q is of the form

(a) 2mX3n                (b) 2m X 5n           (c) 3m X 5n                (d) 3m X 7n

Q23. Which of the following numbers has a non- terminating repeating decimal expansion ?

(a) 6/15                 (b) 21/280             (c) 117 / 62X53       (d) 77/210

Q24. The decimal expansion of the rational number 11/ 23X52 will terminate after decimal places of

(a) one                          (b) two                   (c) three          (d) four

Q25.  If a = 23 X3, b = 2 X3X5 , c= 3nX5  and LCM (a, b, c ) =  23X32x5  , then n =

(a) 1                    (b) 2                    (c) 3                          (d) 4

Q26. If 3 is the least prime factor of a and 7 is the least prime factor of b , then the least prime factor of a and b , is

(a) 2                   (b) 3                      (c) 5                             (d) 10

Q27. The remainder when the square of any prime number greater than 3 is divided by 6, is

(a) 1                        (b) 3                         (c) 2                         (d) 4

Q28. The least number is divisible by all the numbers from 1 to 10  , is

(a) 10                       (b) 100                       (c) 504                  (d) 2520

Q29. The largest number which divides 70 and 125 , leaving remainders 5 and 8 respectively , is

(a) 13                     (b) 65                                 (c) 875                    (d) 1750

Q30. Two numbers are in the ratio 3:4 and their LCM is 120 . The sum of the numbers is ;

(a)70                       (b) 60                              (c) 10                           (d) none


Download free printable worksheet for CBSE Class 10 with important topic wise questions, students must practice the NCERT Class 10 Real Numbers worksheet, question banks, workbooks and exercises with solutions which will help them in revision of important concepts Class 10 Real Numbers. These Worksheet for Grade 10 Real Numbers, class assignments and practice tests have been prepared as per syllabus issued by CBSE and topics given in NCERT book 2021. Class 10 Real Numbers test papers for all important topics covered which can come in your school exams, download in Pdf free. Click here to access Kendriya Vidyalaya Class 10 Real NumbersWorksheet and test papers. Students can download free printable worksheet for practice, topic wise questions for all chapters. Access free CBSE NCERT printable worksheet for Class 10 Real Numbers Prepared by GMS as per the latest Syllabus. Free Pdf download of Standard 10 Real Numbers Worksheet with answers will help in scoring more marks in your class tests and school examinations, click links below for worksheet with important questions for Class 10 chapter wise with solutions.

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