(Study Material) Combined Graduate Level Exam - Tier - II : HCF & LCM (MCQ)

HCF & LCM (MCQ)

1. Find the least number which when divided by 12, 15 and 20 leaves remainders 4, 7 and 12 respectively.

(a) 48
(b) 60
(c) 52
(d) 64

2. Find the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3 but when divided by 9 leaves no remainder.

(a) 1683
(b) 1725
(c) 1685
(d) 1723

3. Five bells begin to toll together and toll at intervals of 24, 40, 64, 72 and 120 s. After what interval to time will they toll again together ?

(a) 42 min
(b) 36 min
(c) 48 min
(d) 54 min

4. Four wheels moving 12, 24, 20 and 30 revolutions in a minute starting at a certain point on the circumference downwards. After what interval of time will they come together again in the same position ?

(a) 30 s
(b) 20 s
(c) 15 s
(d) 45 s

5. The traffic lights at three different road crossings change after every 48,72 and 108 s respectively. If they change simultaneously at 9 am, at what time will they change again simultaneously.

(a) 10 min 10 s
(b) 7 min 12 s
(c) 7 min 10 s
(d) 12 min 10 s

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