H.C.F. and L.C.M. of Numbers · General Aptitude

153 questions in this chapter.

General

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
ABC26GN0548 · The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 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.
ABC26GN0561 · A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12, then five trees are left… · 2004
ABC26GN0562 · When Seeta made necklaces of either 16 beads, 20 beads or 36 beads, not a single bead was left over. What could be the least number of… · 2008
ABC26GN0563 · An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The… · 2007
ABC26GN0564 · Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do… · 2006
ABC26GN0565 · Four bells begin to toll together and toll respectively at intervals of 6, 7, 8 and 9 seconds. In 1.54 hours, how many times do they toll… · 2006
ABC26GN0566 · Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 1/2 hour and 1 hour 45 minutes respectively. All the…
ABC26GN0567 · Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48… · 2009
ABC26GN0568 · Three persons walking around a circular track complete their respective single revolutions in 15 1/6 seconds, 16 1/4 seconds and 18 2/3…
ABC26GN0569 · A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308…
ABC26GN0570 · Three wheels can complete 40, 24 and 16 revolutions per minute respectively. There is a red spot on each wheel that touches the ground at…
ABC26GN0571 · A pendulum strikes 5 times in 3 seconds and another pendulum strikes 7 times in 4 seconds. If both pendulums start striking at the same…
ABC26GN0572 · Find the HCF of 132, 204 and 228. · 2014
ABC26GN0573 · If three numbers are 2 a, 5 a and 7 a, what will be their LCM? · 2014
ABC26GN0574 · The product of two whole numbers is 1500 and their HCF is 10. Find the LCM. · 2014
ABC26GN0575 · A number x is divided by 7 . When this number is divided by 8, 12 and 16. It leaves a remainder 3 in each case. The least value of x is…
ABC26GN0576 · The number of pair of positive integers whose sum is 99 and HCF is 9 is [SSC-CHSL (10 + 2) Exam, 2015]