Advertisements
Advertisements
Question
The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is
Options
1257
1260
1263
none of these
Solution
1263
The smallest number that is exactly divisible by 14, 28, 36, and 45 will be their L.C.M.
So, the required number will be L.C.M. plus 3.
L.C.M. of the three numbers = 22 × 32 × 5 × 7
= 1260
∴ Required number = 1260 + 3 = 1263
APPEARS IN
RELATED QUESTIONS
Test the divisibility of the following numbers by 7:
117
Test the divisibility of the following numbers by 7:
25368
Test the divisibility of the following numbers by 8:
901674
Test the divisibility of the following numbers by 8:
136976
Test the divisibility of the following numbers by 9:
2358
In the following number, replace * by the smallest number to make it divisible by 9:
91*67
State if the following is a prime number?
103
Find the greatest number which divides 2011 and 2623, leaving remainders 9 and 5 respectively.
The least number divisible by each of the numbers 15, 20, 24, 32 and 36 is
Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):
|
Number |
Divisible by |
||||||||
|
2 |
3 |
4 |
5 |
6 |
8 |
9 |
10 |
11 |
|
|
128 |
Yes |
No |
Yes |
No |
No |
Yes |
No |
No |
No |
|
990 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
1586 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
275 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
6686 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
639210 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
429714 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
2856 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
3060 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
406839 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
