In a formula racing competition the time taken by two racing cars A and B to complete 1 round of the track is 30 minutes and 45 minutes respectively. After how much time will the cars meet again at the starting point?
The Fundamental Theorem of Arithmetic

Quiz
•
Mathematics
•
10th Grade
•
Medium
Dona John
Used 12+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
60 minutes
90 minutes
68 minutes
110 minutes
Answer explanation
This time can be calculated by finding the L.C.M of the time taken by each.
30 = 2 × 3 × 5
45 = 3 × 3 × 5
The L.C.M is 90.
Thus, both cars will meet at the starting point after 90 minutes.
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The LCM and HCF of 120 and 480 will be
480, 80
720, 120
1080, 120
480, 120
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The LCM of 16 and 216 is 432. The HCF will be
6
4
8
2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The LCM and HCF of two numbers are 2079 and 9 respectively. If one number is 693, the other number is
27
18
36
29
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The prime factor of 324 is
4 x 9 x 9
2 x 2 x 3 x 3 x 9
2 x 2 x 3 x 3 x 3 x 3
4 x 3 x 3 x 3 x 3
6.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
If a and b are two composite numbers, which of the following is true
a x LCM = b x HCF
HCF x LCM = a x b
b x LCM = a x HCF
None of these
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The prime factorization of Natural Number is ______ except for the ______ of its factors.
Unique, Order
Order, Unique
Similar, Order
None of the above
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