# HCF & LCM of numbers

Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the LCM & HCF questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.

• Q15.What is the LCM of first 100 natural numbers, if LCM of first 90 natural numbers is M?

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• Q16.The product of two numbers is 2352 and their H.C.F. is 14. How many such pairs are possible?

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• Q17.A cloth manufacturer manufactures three varieties of cloth. In a particular week, he has 190 meters, 114 meters and 380 meters of the three kinds of cloth. He wants to pack them in boxes of equal sizes – so that each of the three varieties of clothes would be completed box. How many boxes sizes are possible such that the box size in terms of meters is an integer?

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• Q18.The number of students who have opted for the Subjects Arts, Science and commerce are 120, 168 and 216 respectively. The examination is to be conducted for these students of the same subject are allowed in one room. Also the number of students in each room must be same. What is the minimum number of rooms that should be arrange to meet all these conditions?

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• Q19.The HCF of two numbers P and Q is 6 while that of R and S is 15 and that of T and U is 21, what is the HCF of P, Q, R, S, T & U?

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• Q20.Three clocks alarms at an interval of 12, 21 and 36 minutes respectively. At a certain time they begin to alarm together. What length of time will elapse before they alarm together again?

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• Q21. Find the lowest possible number which when divided by 4, 5 and 6 always leaves a remainder of 2, but leaves no remainder when divided by 7.

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