CBSE Class 10 Mathematics Real Numbers Worksheet Set A

DIRECTIONS : Study the given Case/Passage and answer the following questions.

Case/Passage-I

To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections-section A and section B of grade X. There are 32 students in section A and 36 students in section B.

Question. What is the minimum number of books you will acquire for the class library, so that they can be distributed equally among students of Section A or Section B?
(a) 144
(b) 128
(c) 288
(d) 272

Answer: C

Question. If the product of two positive integers is equal to the product of their HCF and LCM is true then, the HCF (32, 36) is
(a) 2
(b) 4
(c) 6
(d) 8

Answer: B

Question. 36 can be expressed as a product of its primes as
(a) 2² × 3²
(b) 2¹ × 3³
(c) 2³ × 3¹
(d) 2⁰ × 3⁰

Answer: A

Question. 7 × 11 × 13 × 15 + 15 is a
(a) Prime number
(b) Composite number
(c) Neither prime nor composite
(d) None of the above

Answer: B

Question. If p and q are positive integers such that p = ab² and q = a²b, where a, b are prime numbers, then the LCM (p, q) is
(a) ab
(b) a²b²
(c) a³b²
(d) a³b³ 

Answer: B

Case/Passage-II

A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects.
The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

Question. In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are
(a) 14
(b) 12
(c) 16
(d) 18

Answer: B

Question. What is the minimum number of rooms required during the event?
(a) 11
(b) 31
(c) 41
(d) 21

Answer: D

Question. The LCM of 60, 84 and 108 is
(a) 3780
(b) 3680
(c) 4780
(d) 4680

Answer: A

Question. The product of HCF and LCM of 60,84 and 108 is
(a) 55360
(b) 35360
(c) 45500
(d) 45360

Answer: D

Question. 108 can be expressed as a product of its primes as
(a) 2³ × 3²
(b) 2³ × 3³
(c) 2² × 3²
(d) 2² × 3³

Answer: D

Case/Passage-III

A Mathematics exhibition is being conducted in your school and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience.

Observe the following factor tree and answer the following:

Question. What will be the value of x?
(a) 15005
(b) 13915
(c) 56920
(d) 17429

Answer: B

Question. What will be the value of y?
(a) 23
(b) 22
(c) 11
(d) 19

Answer: C

Question. What will be the value of z?
(a) 22
(b) 23
(c) 17
(d) 19

Answer: B

Question. According to Fundamental Theorem of Arithmetic 13915 is a
(a) Composite number
(b) Prime number
(c) Neither prime nor composite
(d) Even number

Answer: A

Question. The prime factorisation of 13915 is
(a) 5 × 11³ × 13²
(b) 5 × 11³ × 23²
(c) 5 × 11² × 2³
(d) 5 × 11² × 13²

Answer: C

Please click on below link to download CBSE Class 10 Mathematics Real Numbers Worksheet Set A