Question
A number when divided by 221 gives a remainder 30. What
will be the remainder when this number is divided by 17?Solution
ATQ,
Let, the number be ‘N’.
ATQ,
N = 221 × k + 30 = 17 × 13 × k + 17 + 13 = 17 × (13 × k + 1) + 13
Since, 17 × (13 × k + 1) is completely divisible by 17
So, if the number is divided by 17, the remainder will be 13.
Direction: Which of the following will replace ‘?’ in the given question?
5, 18, ‘?’, 126, 296, 586, 1044
18, 32, 50, 82, 132, ?
4 14 44 124 404
...If 7             16      x    90       171          292
Then, 2x 2 +  1 + x ...
18Â Â Â Â Â Â Â Â Â Â 434Â Â Â Â Â Â Â Â 642Â Â Â Â Â Â Â Â 746Â Â Â Â Â Â Â Â 798Â Â Â Â Â Â Â Â ?
...85    135    172    ?     215    225
If 18 x 10 42 -22,
Then, 50% of 2x - 25% of x = ?
...5, 11, 32, 65, ?, 389
3,   2,   3,  8,  31,  ?
Find sum of first n terms: 2 + 6 + 12 + 20 + 30 + …
