Reference : HCF & LCM
Q1. If HCF(x,y) = 12, LCM(x,y) = 336, and x = 48, find y
72
84
96
64
Q2. Three bells ring at intervals of 36, 48, and 72 minutes. If they start ringing together at 8:00 AM, when will they ring together next?
4:00 PM
12:00 PM
2:00 PM
10:00 AM
Q3. The product of two numbers is 2744 and their HCF is 8. How many pairs of numbers satisfy this condition?
6
4
5
3
Q4. If LCM(a,b) = 120 and HCF(a,b) = 6, which of the following cannot be the value of a?
48
30
40
24
Q5. Three ropes of lengths 252 cm, 308 cm, and 364 cm need to be cut into pieces of equal length. What is the maximum possible length of each piece with no rope wasted?
56 cm
28 cm
42 cm
14 cm
Q6. If x and y are positive integers such that HCF(x,y) × LCM(x,y) = 360, and x + y = 27, find x × y.
216
162
180
150
Q7. The traffic lights at three different road crossings change after every 48, 72, and 108 seconds respectively. If they all turn green at the same time at 2:00 PM, when will they turn green together again?
2:12 PM
2:06 PM
2:09 PM
2:03 PM
Q8. If HCF(a,b) = 16 and a/b = 4/3, what is the minimum possible value of a?
96
64
80
48
Q9. Two numbers are in the ratio 3:4. If their HCF is 12 and LCM is 300, find the larger number.
180
120
144
60
Q10. The HCF of two numbers is 8. If one number is doubled and the other is tripled, their LCM becomes 480. Find the sum of the original numbers.
80
64
72
56
Other References :
AP & GP : Link
Area : Link
Average : Link
Boat & Stream : Link
Compound Interest : Link
Height & Distance : Link
LCM & HCF : Link
Logarithm : Link
Percentage : Link
Profit & Loss : Link
Ratio & Proportion : Link
Simple Interest : Link
Speed Distance : Link
Time & Work : Link
Trains Problem : Link
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