EASY
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Find the largest number of four digits such that on dividing by 151821 and 24, the remainders are 111417 and 20 respectively.

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Important Questions on Number Systems

EASY

Find the ratio of the LCM and the HCF of 5, 25 and 30. 

(A) 1 : 6 

(B) 30 : 1 

(C) 1 : 30 

(D) 6 : 1 

EASY
A, B, C have 152,171 and 266 marbles, respectively. They decide to divide these marbles in parts such that all parts have the same number of marbles. Also, they cannot give or take the marbles. Find the minimum possible number of parts that can be made.
EASY

Find the HCF of 3, 7 and 15. 

(A) 7 

(B) 15 

(C) 3 

(D) 1 

MEDIUM
Find the number lying between 900 and 1000, which when divided by 38 and 57 leaves in each case a reminder 23.
EASY
What will be the Highest Common Factor of 4, 8 and 12?
EASY

What will be the HCF of 23, 89 and 6481?

EASY
Find the number lying between 900 and 1000 which when divided by 38 and 57 leaves in each case a remainder 23.
EASY

The LCM of two numbers is 210. If their HCF is 35 and one of the numbers is 105, find the other number:

EASY
What is the Lowest Common Multiple of 2, 3 and 7?
EASY
What is the value of half of the HCF of 36 and 144 ?
MEDIUM
The HCF of  23,89,1027,3281 is.
EASY

B has 32 pens, 24 pencils and 16 erasers. How many sets of these three items can B make without any left over? 

1. 6
2. 7
3. 8
4. 9

EASY
If x is a prime number, LCM of x and its successive number would be:
EASY
The LCM and HCF of two numbers are 171360 and 14 respectively. If one of the numbers is 2142 then what is the second number? 
EASY
At a telephone exchange, three phones ring at intervals of 20 sec, 24 sec, and 30 sec. If they ring together at 11:25 am, when will they next ring together?
MEDIUM
What is the least common multiple of 49 and 1627?
MEDIUM
Find the LCM of 257, 1528, 2021,
EASY
What is the HCF of 1524,1239 and 4049
EASY

Find the G.C.F and L.C.M of 20 and 28.

1. 20, 280
2. 5, 280
3. 10, 140
4. 4, 140

MEDIUM
12 is the highest common factor of 'a' and 'b'. 'a' and 'b' are integers and a>b>12. What would be the minimum values of a, b?