Dear Students, Earlier we have provided you with a 15-day strategy to crack IB (ACIO) 2017.Today, based on that strategy we are providing you 15 questions on HCF & LCM. Attempt this quiz, learn better and be prepared for the IB ACIO Exam 2017. Follow our study plan and be better prepared for the IB Exam.
Q1. The HCF and LCM of 2 numbers are 44 and 264 respectively if the first number is divided by 2, the quotient is 44. The other no is. ?
(a) 147
(b) 528
(c) 132
(d) 264
Q2. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder 2 in each case?
(a) 46
(b) 48
(c) 50
(d) 56
Q3. Find the greatest number of 5 digits which when divided by 3, 5, 8, 12 have 2 as remainder?
(a) 99999
(b) 99958
(c) 99960
(d) 99962
Q4. A, B, C start running at the same time and at the same point in the same direction in a circular stadium. A completes round is 252 sec, B in 308 sec & C in 198 seconds. After what time will they meet again at the starting point?
(a) 26 minutes 18 sec
(b) 42 m 36 sec
(c) 45 m
(d) 46 m 12 sec
Q5. Find the largest number of 4 digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively?
(a) 6557
(b) 7556
(c) 5675
(d) 7664
Q6. Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
(a) 2520
(b) 1260
(c) 630
(d) 196
Q7. If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be?
(a) 60
(b) 120
(c) 180
(d) 240
Q8. A number which when divided by 10 leaves remainder 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7 is?
(a) 1539
(b) 539
(c) 359
(d) 1359
Q9. What least no. must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7?
(a) 37
(b) 36
(c) 39
(d) 30
Q10. Three bells ring simultaneously at 11 am. They ring at regular interval of 20 minutes, 30 min and 40 min respectively. The time when all three ring together next is?
(a) 2 pm
(b) 1 pm
(c) 1.15 pm
(d) 1.30 pm
Q11. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same no. of pencils is?
(a) 91
(b) 910
(c) 1001
(d) 1911
Q12. H.C.F. of 2/3 , 4/5 and 6/7 is?
(a) 48/105
(b) 2/105
(c) 4/105
(d) 24/105
Q13. A milkman has 75 litres of milk in one container and 45 litres in another. The maximum capacity of the container which can measure Milk of either container exact number of times is?
(a) 15 liters
(b) 20 liters
(c) 40 liters
(d) 60 liters
Q14. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of two numbers is?
(a) 5
(b) 15
(c) 45
(d) 270
Q15. Three numbers are in the ratio 2 : 3 : 4 and their H.C.F is 12. The L.C.M of the numbers is?
(a) 144
(b) 192
(c) 96
(d) 72
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