Latest Others Aptitude Question SOLUTION: How many numbers are there between 0 and 1000 which on division by 2, 4, 6, 8 leave remainders 1, 3, 5, 7 respectively? (a) 21 (b) 40 (c) 41 (d) 39

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(#M40019417) OTHERS question Keep an EYE

How many numbers are there between 0 and 1000 which on division by 2, 4, 6, 8 leave remainders 1, 3, 5, 7 respectively?
(a) 21 (b) 40 (c) 41 (d) 39

Asked In Others mohan lal garg (10 years ago)

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venkatesh  (10 years ago)

ans : 41
lcm of 2,4,6,8 is 24
so the num's are 23,47, ..... (41*24)-1

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kamakshi gupta  (7 years ago)

ans : 41
lcm of 2,4,6,8 is 24
25%24=1 and 27%24= 3 and 29%24=5 and 31%24= 7
49%24=1 and 51%24= 3 and 53%24=5 and 55% 24 = 7
............... ................ .............. ..............
............... ................ .............. ..............
985%24=1 and 987%24 = 3 and 989 %24 = 5 and 991 % 24= 7

all above are AP with difference 24, you can use any of them , lets take a= 29 d=24 l=989
l= a+(n-1)d
989= 29+(n-1)24
(n-1)24= 989-29=> n-1=960/24=> 40
n=41....ans.

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