sum of all integers less than 100 which leave a remanider 1 when divided by 3 and leave a remainder 2 when?

1 ⤊

sum of all integers less than 100 which leave a remanider 1 when divided by 3 and leave a remainder 2 when?

divided by 4 is
a)416
b)1717
c)1250
d)1314

2006-10-03 07:40:23 · 3 answers · asked by manohar 1 in Science & Mathematics ➔ Mathematics

3 answers

2006-10-03 07:47:04 · answer #1 · answered by carynluvzsportz247 2 · 0⤊ 1⤋

The first such a number is 10 and then they differ by 3*4 = 12, so they are:

10 , 22, 34, 46, 58, 70, 82, 94.

Their sum is 416, so (a) is the right answer.

2006-10-03 14:51:34 · answer #2 · answered by Dimos F 4 · 1⤊ 0⤋

sorry wrong options provided
Remainders are
a)416 / 3 = 2 and 416 /4 = 0
b)1717 / 3= 1 and 1717 / 4= 1
c)1250 / 3= 2 and 1250 / 4 = 2
d)1314 / 3 = 0 and 1314 / 4 = 2

2006-10-03 14:51:21 · answer #3 · answered by pooja 2 · 0⤊ 1⤋