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Published on: 22/10/2025
Download CBSE Class 10th Standard CBSE Maths question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 10th Standard CBSE Maths
Questions + Answers key
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1.
HCF of two numbers is 27 and their LCM is 162 of the number is 54, then the other number is
36
35
9
81
2.
Given HCF (2520, 6600) = 40 and LCM (2520, 6600) = 252 x k, then the value of k is
1650
1600
165
1625
3.
If HCF (72, 120)=24, then LCM ( 72, 120) is
72
120
360
9640
4.
The (HCF x LCM) for the numbers 50 and 20 is
1000
50
100
500
5.
If two positive integers a and b are written as a = x3y2 and b= xy3,where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is
xy
xy2
x3y3
x2y2
6.
The LCM of two numbers is 2400. Which of the following cannot be their HCF?
300
400
500
600
7.
Three alarm clocks ring their alarms at regular Competency Based Question intervals of 20 min, 25 min and 30 min, respectively. If they first beep together at 12 noon, at what time will they beep again for the first time?
4:00 pm
4:30 pm
5:00 pm
5:30 pm
8.
HCF of two consecutive even numbers is
0
1
2
4
9.
If \(a = 2 ^ 2 \times 3 ^ x , b = 2 ^ 2 \times 3 \times 5 , c = 2 ^ 2 \times 3 \times 7\) and LCM (a, b, c) = 3780, then x is equal to
1
2
3
0
10.
The LCM of smallest two-digit number and smallest composite number is
12
4
20
40
11.
HCF of 92 and 152 is
4
19
23
57
12.
HCF of (34 x 22 x 73) and (32 x 5 x 7) is
630
63
729
567
13.
If n is a natural number, then 8n cannot end with digit with
0
2
4
6
14.
The prime factorization of the number 2304 is
28 x 32
27 x 33
28 x 31
27 x 32
15.
If two positive integers p and q can be expressed as p = ab2 and q = a3 b;where a, b being prime numbers, then LCM (p, q) is equal to
ab
a2b2
a3b2
a3b3
16.
1192 – 1112 is:
Composite number
An odd composite number
Prime number
An odd prime number
17.
If two positive integers A and B can be expressed as A = ab2 and B = a3b, where a and b are prime numbers, then LCM (A, B) is
a3b2
a4b3
a2b2
ab
18.
The prime factorization of 184 is
23 × 3 ×. 23
8 × 23
23 × 23
46 ×. 4
19.
Given that the H.C.F. of 35 and 49 is 7, what is their LCM?
265
245
195
225
20.
If x = 23 x 52 , y = 22 x 32 then HCF (x, y) is :
36
12
6
18
21.
There are 135 partcipants in English and 165 in Mathematics in a seminar. What is the minimum number of rooms required to seat them if each room must have the same number of participants from each of the two subjects.
25
30
15
20
22.
What is the HCF of 235 and 395?
25
35
5
13
23.
If the HCF of 85 and 153 is expressible in the form 85n – 153, then value of n is :
4
2
3
1
24.
HCF of the smallest composite number and the smallest prime number is
0
4
2
1
25.
H.C.F. of two consecutive even numbers is:
1
4
2
0
1.
(a)
36
2.
(d)
1625
3.
(c)
360
4.
(a)
1000
5.
(b)
xy2
6.
(c)
500
7.
(c)
5:00 pm
8.
(c)
2
9.
(c)
3
10.
(c)
20
11.
(a)
4
12.
(b)
63
13.
(a)
0
14.
(a)
28 x 32
15.
(c)
a3b2
16.
(a)
Composite number
17.
(a)
a3b2
18.
(c)
23 × 23
19.
(b)
245
20.
(b)
12
21.
(d)
20
22.
(c)
5
23.
(b)
2
24.
(c)
2
25.
(c)
2
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