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Problems On H.C.F And L.C.M
practice.

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Q101

Open question

The LCM of three different numbers is 120. Which of the following cannot be their HCF?

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Q102

Open question

The traffic lights at three different road crossings change after 24 seconds, 36 seconds, and 54 seconds respectively. If they all change simultaneously at 10:15:00 AM, then at what time will they again change simultaneously ?

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Q103

Open question

A person has to completely put each of three liquids: 403 litres of petrol, 465 litres of diesel and 496 litres of Mobil Oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required ?

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Q104

Open question

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 number of pencils is = ?

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Q105

Open question

The least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad is = ?

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Q106

Open question

Three sets of English , Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stakes will be ?

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Q107

Open question

Find the HCF of

\frac{3}{4}, \frac{5}{6}

and

\frac{6}{7}

= ?

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Q108

Open question

A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively ?

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Q109

Open question

The greatest 4-digit number exactly divisible by 10, 15, 20 is = ?

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Q110

Open question

Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ?

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Q111

Open question

If r is the remainder when each of 7654, 8506, and 9997 is divided by the greatest number d (d > 1) then d - r is equal to = ?

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Q112

Open question

Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then sum of the digits in N is = ?

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Q113

Open question

Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is = ?

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Q114

Open question

84 Maths books, 90 Physics books, 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too ?

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Q115

Open question

The greatest number that will divide 729 and 901 leaving remainder 9 and 5 respectively is = ?

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Q116

Open question

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively ?

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Q117

Open question

Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31, and 51 respectively = ?

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Q118

Open question

What is the least natural number which leaves no remainders when divided by all the digits from 1 to 9 ?

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Q119

Open question

If x:y be the ratio of two whole numbers and z be their HCF, then the LCM of those two number is = ?

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Q120

Open question

A fraction becomes

\frac{1}{6}

when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes

\frac{1}{3}

. Then, the LCM of the numerator and denominator of the said fraction, must be = ?

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Problems On H.C.F And L.C.Mpractice.

Problems On H.C.F And L.C.M
practice.