HCF & LCM MCQ SET 7
1. The least multiple of 13 , when divided by 4 , 5 , 6 , 7 and 8 leaves remainder 2 in each case?
(a) 2520
(b) 842
(c) 2522
(d) 840
Answer: D
2. What is the sum of digits of the least multiple of 13 ,ย which when divided by 6 , 8 and 12 leaves 5 , 7 and 11 respectively as the remainders ?
(a) 5
(b) 6
(c) 7
(d) 8
Answer: D
3. When the smallest number x is divided by 5 , 6 , 8 , 9 and 12 , it gives remainder 1 in each case . But x is divisible by 13 . What will be the remainder when x will be divided by 31?
(a) 1
(b) 5
(c) 3
(d) 0
Answer: B
4. Let x be the least number which when divided by 16 , 24 , 30 , 36 and 45 ,ย the remainder in each case is 4 , and x is divisible by 28 . If the HCF of x and 3193 is y , then what is the sum of the digits of y?
(a) 4
(b) 9
(c) 5
(d) 10
Answer: A
5. Let x be the least number which when divided by 12 , 18 , 20 , 27 and 30 , the remainder in each case is 2 and x is divisible by 47 . If the HCF of x and 1932 is y , then the sum of the digits of y is?
(a) 7
(b) 10
(c) 5
(d) 11
Answer: B
6. Six bells begin to toll together and toll , respectively , at intervals of 3 , 4 , 6 , 7 , 8 and 12 seconds . After how many seconds , will they toll together again?
(a) 167
(b) 168
(c) 176
(d) 186
Answer: B
7. The traffic lights at 3 different road crossings change after every 48 sec , 72 sec and 108 sec , respectively . If they all change simultaneously at 8:20 a.m., then at what time will they next change again simultaneously ?
(a) 8 : 27 : 12 a.m.
(b) 8 : 33 : 32 a.m.
(c) 9 : 12 : 18 a.m.
(d) 8 : 40 : 14 a.m.
ย Answer: A
8. Six bells commence tolling together at 7 : 59 a.m. They toll at intervals of 3 , 6 , 9 , 12 and 15 seconds respectively . How many time will they toll together till 8 : 16 a.m. ? (excluding the toll at 7 : 59 am)
(a) 5
(b) 6
(c) 3
(d) 4
Answer: A
9. There are four bells which ring at an interval of 15 minutes , 25 minutes , 35 minutes and 45 minutes respectively . If all of them ring at 9 A.M., how many more times will they ring together in the next 72 hours ?
(a) 0
(b) 1
(c) 2
(d) 3
Answer: C
10. There are three traffic signals . Each signal changes colour from green to red and then from red to green . The first signal takes 25 seconds , the second signal takes 39 seconds , and the third signal takes 60 seconds to change the colour from green to red . The durations for green and red colours are same . At 2 : 00 p.m., they together turn green . At what time will they change to green next , simultaneously ?
(a) 4 : 00 p.m.
(b) 4 : 10 p.m.
(c) 4 : 20 p.m.
(d) 4 : 30 p.m.
Answer: B
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