CBSE - Maths - Chapterwise Competency Based Questions.pdf

KENDRIYA VIDYALAYA SANGATHAN AHMEDABAD REGION
COPETENCY BASED QUESTIONS
CLASS: X
NAME OF CHAPTER 1: REAL NUMBERS
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MULTIPLE CHOICE QUSTIONS
Q1 Three bulbs red, green and yellow flash at intervals of 80 seconds,
90 seconds and 110 seconds. All three flash together at 8:00 am. At
what time will the three bulbs flash altogether again?
(a) 9:00 am
(b) 9:12 am
(c) 10:00 am
(d) 10:12 am
Q2 Which of the following is an irrational number?

(a)

(b)

(c)

(d)

Q3 Rahul has 40 cm long red and 84 cm long blue ribbon. He cuts each
ribbon into pieces such that all pieces are of equal length. What is
the length of each piece?
(a) 4 cm as it is the LCM of 40 and 84
(b) 4 cm as it is the HCF of 40 and 84
(c) 8 cm as it is the LCM of 40 and 84
(d) 8 cm as it is the HCF of 40 and 84
Q4 Which of the following is rational?
(a)
(b)

, (c)
(d)
Q5 If ‘p’ is multiple of ‘q’, then HCF and LCM of ‘p’ and ‘q’ is:
(a) HCF = p, LCM = q
(b) HCF = q, LCM = p
(c) HCF = p x q = LCM
(d) None of these
Q6 The prime factorization for 1729 is:
(a)
(b)
(c)
(d)
ASSERTION – REASON
Q 07 Assertion (A): LCM of 26 and 91 is 182.
Reason (R): The prime factorization of 26 = 2×13 and 91=7×13,
hence LCM=13× 13 × 2×7.
(a) Both assertion (A) and reason (R) are true and reason (R) is
the correct explanation of assertion (A)
(b) Both assertion (A) and reason (R) are true and reason (R) is
not the correct explanation of assertion (A)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertions (A) is false but reason (R) is true.
Q 08 Assertion (A): LCM of and is
Reason (R): LCM is always a multiple of HCF.
(a) Both assertion (A) and reason (R) are true and reason (R) is
the correct explanation of assertion (A)
(b) Both assertion (A) and reason (R) are true and reason (R) is
not the correct explanation of assertion (A)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
CASE BASED/SOURCE BASED

,Q 09 CASE – STUDY 1
A merchant has 120 soap cubes of 1st kind
in box I, 180 soap cubes of 2nd kind in box
II and 240 soap cubes of 3rd kind in box III.
He wants to sell the soap cubes by filling
three kinds of soap cubes in small packets
of equal capacity.
On the basis of above information,
answer the following:
1. What would be the largest capacity of such packets?
(a) 30
(b) 50
(c) 60
(d) 120
2. Which of the following concept is used to find the largest
capacity?
(a) HCF only
(b) LCM only
(c) HCF and LCM both
(d) None of these
3. If he decided to put 3rd kind of soap cubes separately in small
packets, how many packets are needed?
(a) 2
(b) 3
(c) 4
(d) 5
4. How many total small packets are needed to pack all 3 kinds
of soap cubes?
(a) 4
(b) 6
(c) 7
(d) 9

, 5. If merchant decided to sell only second and third kinds of
soap cubes then how many small packets are required?
(a) 7
(b) 6
(c) 5
(d) 4
Q 10 CASE – STUDY 2
Amit, Ashutosh and Avinash
started a race on a circular
ground. Amit takes 24
minutes Ashutosh takes 12
minutes and Avinash takes
18 minutes to complete a
round. They started the race
at 7:35 AM.
On the basis of above information, answer the following:
1. After how many minutes they will meet again?
(a) 144
(b) 72
(c) 60
(d) 96
2. Number of rounds taken by Amit when they met again after
start?
(a) 3
(b) 4
(c) 6
(d) 5
3. What is the time when they met again after start?
(a) 8:47 AM
(b) 9:12 AM
(c) 9:47 AM
(d) 7:47 AM