ABC26GN0544 · H.C.F. and L.C.M. of Numbers
Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: 2010 · Marks: · Difficulty:
The greatest number which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is
(a)1120
(b)4714
(c)5200
(d)5600
Answer
Explanation
L.C.M. of 20, 28, 32, $35=2 \times 2 \times 5 \times 7 \times 8=1120$. Required number $=(5834-1120)=4714$. 2 | 20 | - | 28 | - | 32 | - | 35 ; 2 | 10 | - | 14 | - | 16 | - | 35 ; 5 | 5 | - | 7 | - | 8 | - | 35 ; 7 | 1 | - | 7 | - | 8 | - | 7 ; 1 | - | 1 | - | 8 | - | 1
Explanation as extracted from the printed page; notation may be imperfect.
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