A number lying between 1000 and 2000 is such that on division by 2,3,4,5,6,7 and 8 leaves remainders 1,2,3,4,5,6 and 7 respectively. The number is
a) 1726
b) 1822
c) 1548
d) 1922
e) 1679
2007-09-28 19:12:49 · 12 answers · asked by deepa r 1 in Science & Mathematics ➔ Engineering
The answer is e. The number is 1679. It should leave remainders 1,2,3,4,5,6 and 7, on division by 2,3,4,5,6,7 and 8 respectively. That means, if you add 1 to this number, the new number would be divisible by 2, 3, 4, 5, 6, 7 and 8. Such a number would be an LCM of 2, 3, 4, 5, 6, 7 and 8. LCM of these numbers comes out to be 1680. Therefore, the required answer is 1679.
2007-09-28 19:21:13 · answer #1 · answered by Sanket 2 · 1⤊ 0⤋
the number is e) 1679 .......... you can tell from the first division. all the other numbers are even so all others would divide cleanly into 2 and leave no remainder. only an odd number would leave a remainder of 1 after a division by 2. you can work out the other numbers to make sure but this is the only one that would work with two so it has to be it.
2007-09-28 19:26:09 · answer #2 · answered by Anonymous · 0⤊ 0⤋
it can be answered by the fact that if a number leaves a remainder of 1 on dividing by 2 then it has to be a odd number. only 1679 is odd among options so the answer is
e) 1679
2007-09-28 20:15:27 · answer #3 · answered by shailesh 2 · 0⤊ 0⤋
Answer is E. 1679. only odd number on list.
Clue is first division by 2 giving you a remainder of one. The only odd number in the answers is 1679. so it is the only one which will have a remainder when dividing by 2.
2007-09-28 19:26:01 · answer #4 · answered by JUAN FRAN$$$ 7 · 0⤊ 0⤋
1679
2007-09-29 03:46:04 · answer #5 · answered by Rajani Kanta Munda 1 · 0⤊ 0⤋
1679
2007-09-28 19:19:53 · answer #6 · answered by rajesh k 1 · 0⤊ 0⤋
i would say 1679 is the only possible answer because thats the only way you will get a remainder with 2.
2007-09-28 19:18:47 · answer #7 · answered by jj 3 · 1⤊ 0⤋
1679 is the best answer .I think you can find it very soon when you see other numbers that divided by 2.
2007-09-29 00:03:51 · answer #8 · answered by farshad 1 · 0⤊ 0⤋
answer : e) 1679.... when divided by 2,3,4,5,6,7, & 8 respectively the remainders is 1,2,3,4.,5,6 & 7
2007-09-28 19:30:01 · answer #9 · answered by raphael adevera 2 · 0⤊ 0⤋
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2016-10-20 07:00:21 · answer #10 · answered by ? 4 · 0⤊ 0⤋