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HCF AND LCM PRACTICE QUESTION FOR SSC CGL



1. Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after
(1) 6 minutes
(2) 12 minutes
(3) 18 minutes
(4) 24 minutes
Ans. 1
2. Three bells ring simultaneously at 11 a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectvely. The time when all the three ring together next is
(1) 2 p.m.
(2) 1 p.m.
(3) 1.15 p.m.
(4) 1.30 p.m.
Ans. 2
3. The greatest number of four digits which when divided 3, 5, 7, 9 leave remainders 1, 3, 5, 7 repspectvely is
(1) 9763
(2) 9764
(3) 9766
(4) 9765
Ans. 3
4. Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again ?
(1) 72 Sec.
(2) 612 Sec.
(3) 504 Sec.
(4) 318 Sec.
Ans. 3
5. The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :
(1) 9240
(2) 10080
(3) 9996
(4) 10000
Ans. 2
6. The largest 4-digit  number exactly divisible by each of 12, 15, 18 and 27 is
(1) 9690
(2) 9720
(3) 9930
(4) 9960
Ans. 2
7. The least number, which is perfect square and is divisible by each of the numbers 16, 20 and 24, is
(1) 1600
(2) 3600
(3) 6400
(4) 14400
Ans. 2
8. The number nearest to 43582 divisble by each of 25, 50 and 75 is
(1) 43500
(2) 43650
(3) 43600
(4)43550
Ans. 2
9. The smallest number, which is increased by 5 is divisible by each of 24, 32, 36 and 564, is
(1) 869
(2) 859
(3) 4320
(4) 43500
Ans. 2
10. The gratest number, which when subtracted from  5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is
(1) 1120
(2) 4714
(3) 5200
(4) 5600
Ans. 2

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