LCM & HCF - 1 | Algebra - Number Theory
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Out of the total number of chocolates he had, Ram gave 1/3rd of the chocolates to his sister, 1/7th to his brother and 1/5th to his friend. How many chocolates did he have in the beginning?
- (a)
15
- (b)
36
- (c)
45
- (d)
70
- (e)
105
Solution
Discuss
ReportTwo people running in a circle can complete one revolution in 4 hours and 5 hours respectively. After how many hours will they meet at the starting point?
- (a)
20
- (b)
9
- (c)
15
- (d)
18
- (e)
21
Suppose, you have 108 green marbles and 144 red marbles. You decide to separate them into packages of equal number of marbles of same colour. Find the maximum possible number of marbles in each package.
- (a)
4
- (b)
36
- (c)
9
- (d)
24
- (e)
12
The LCM of two numbers is 2800 and their HCF is 40. If one of the number is 280, then the other number is?
The product of two numbers is 8100. If their LCM is 108, then find their HCF.
- (a)
75
- (b)
70
- (c)
80
- (d)
60
- (e)
Data inconsistent
Product of two positive integers is 12615 and their HCF is 29. How many such pairs are possible?
- (a)
1
- (b)
2
- (c)
3
- (d)
4
- (e)
None of these
The HCF and LCM of two numbers are 26 and 910 respectively. If one of the numbers lies between 150 and 250, then that number is
- (a)
182
- (b)
156
- (c)
234
- (d)
130
If the HCF of two numbers is 48 and the HCF of two other numbers is 36, what will be the HCF of all the four numbers?
- (a)
4
- (b)
6
- (c)
12
- (d)
8
- (e)
24
There are three pieces of cake weighing 5/3 lbs,23/4 lbs and 21/15 lbs. The pieces are equally divided and distributed in such a manner that every guest in the party gets one single piece of the cake. Further the weight of each piece of the cake is as heavy as possible. How many guests attended the party?