Find the least positive integer which when di...
Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?
• a)
33
• b)
59
• c)
61
• d)
49
Find the least positive integer which when divided by 2 gives remainde...
Here the divisors are 2, 3, 4 and 5 and the respective remainders are 1, 2, 3 and 4.
The L.C.M. of (2, 3, 4, 5) = 60.
The least number satisfying the given condition = L.C.M. of (2, 3, 4, 5) – the difference between the divisor and the respective remainder. = 60 – 1 = 59
Find the least positive integer which when divided by 2 gives remainde...
By using the trial and error method we can easily understand that the answer is option b) ie; 59. Use the bigger number ie; divide by 5 to eliminate unwanted options in a faster manner.
Related Test
 SNAP Past Year Papers - 2014150 Ques | 120Mins
Find the least positive integer which when divided by 2 gives remainde...
59
As 2*29 +1= 59
3*19 + 2=59
4*14+ 3=59
5*10+ 4= 59

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Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer?
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