H.C.F. and L.C.M. of Numbers

ABC26GN0509 · The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?

ABC26GN0510 · If the L.C.M. of three numbers is 9570, then their H.C.F. can be

ABC26GN0511 · The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is

ABC26GN0512 · About the number of pairs which have 16 as their H.C.F. and 136 as their L.C.M., we can definitely say that

ABC26GN0513 · The H.C.F. and L.C.M. of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, the two numbers are · 2006

ABC26GN0514 · Two numbers, both greater than 29, have H.C.F. 29 and L.C.M. 4147. The sum of the numbers is

ABC26GN0515 · L.C.M. of two prime numbers x and y(x>y) is 161. The value of 3 y-x is

ABC26GN0516 · The greatest number that exactly divides 105, 1001 and 2436 is

ABC26GN0517 · 21 mango trees, 42 apple trees and 56 orange trees have to be planted in rows such that each row contains the same number of trees of one… · 2005

ABC26GN0518 · The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is · 2008

ABC26GN0519 · The capacity of two pots is 120 litres and 56 litres respectively. Find the capacity of a container which can exactly measure the contents… · 2005

ABC26GN0520 · A daily wage labourer was engaged for a certain number of days for ₹ 5750, but being absent on some of those days he was paid only ₹ 5000… · 2006

ABC26GN0521 · 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… · 2007

ABC26GN0522 · 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…

ABC26GN0523 · A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the…

ABC26GN0525 · Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that… · 2007

ABC26GN0526 · 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… · 2009

ABC26GN0527 · Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

ABC26GN0528 · 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 · 2010

ABC26GN0529 · 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 · 2004

ABC26GN0530 · A milkman has 3 jars containing 57 litres, 129 litres and 177 litres of pure milk respectively. A measuring can, after a different number… · 2004

ABC26GN0531 · The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is

ABC26GN0532 · Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively? · 2006

ABC26GN0533 · Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31 and 51 respectively. · 2005

ABC26GN0534 · Which of the following fractions is the largest?

ABC26GN0535 · What is the least natural number which leaves no remainder when divided by all the digits from 1 to 9? · 2004

ABC26GN0536 · What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

ABC26GN0537 · The sum of two numbers is 45. Their difference is 1/9 of their sum. Their L.C.M. is · 2007

ABC26GN0538 · The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is

ABC26GN0539 · The least number of five digits which is exactly divisible by 12, 15 and 18 is

ABC26GN0540 · The greatest number of four digits which is divisible by 15, 25, 40 and 75 is

ABC26GN0541 · The number between 4000 and 5000 which is divisible by 12, 18, 21 and 32 is · 2006

ABC26GN0542 · The number nearest to 43582 divisible by each of 25, 50 and 75 is · 2007

ABC26GN0543 · The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is

ABC26GN0544 · The greatest number which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is · 2010

ABC26GN0545 · The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is

ABC26GN0546 · The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is

ABC26GN0547 · The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is

ABC26GN0549 · A number less than 500, when divided by 4, 5, 6, 7 leaves remainder 1 in each case. The number is · 2007

ABC26GN0550 · What is the greatest number of 3 digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case? · 2007

ABC26GN0551 · The largest four-digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is

ABC26GN0552 · Let the least number of six digits, which when divided by 4, 6, 10 and 15, leaves in each case the same remainder of 2, be N. The sum of… · 2007

ABC26GN0553 · The least multiple of 13, which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is

ABC26GN0554 · Find the least number which when divided by 12, leaves a remainder of 7; when divided by 15, leaves a remainder of 10 and when divided by… · 2006

ABC26GN0555 · The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively is · 2011

ABC26GN0556 · Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively.

ABC26GN0557 · What is the third term in a sequence of numbers that leave remainders of 1, 2 and 3 when divided by 2, 3 and 4 respectively? · 2004

ABC26GN0558 · Find the greatest number of 4 digits which when divided by 4, 5, 6, 7 and 8 leaves 1, 2, 3, 4 and 5 as remainders. · 2005

ABC26GN0559 · The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is · 2007

ABC26GN0560 · Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.