Which one of the following numbers is exactly divisible by 11?
(?) - 19657 - 33994 = 9999
Let x - 53651 = 9999
Then, x = 9999 + 53651 = 63650
(?) + 3699 + 1985 - 2047 = 31111
x + 3699 + 1985 = 31111 + 2047
x + 5684 = 33158
x = 33158 - 5684 = 27474.
How many 3-digit numbers are completely divisible 6 ?
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n. Then tn = 996.
a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150
Number of terms = 150.
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
This is an A.P. in which a = 24, d = 6 and l = 96
Let the number of terms in it be n.
Then tn = 96a + (n - 1)d = 96
24 + (n - 1) x 6 = 96
(n - 1) x 6 = 72
(n - 1) = 12
n = 13
Required number of numbers = 13.
Type1
