Factors and Multiples
Multiple choice questions on LCM and HCF
Questions
If the greatest common factor (GCF) of two numbers is one of those numbers then their least common multiple(LCM) shall be
- The smaller of the two numbers
- The product of the two numbers
- The larger of the two numbers
- The difference of the two numbers
- None of the above
If the greatest common factor of the two natural numbers is 1, we say that the numbers are
- Absolutely Prime
- Co-Prime or Relatively prime
- Twin Prime Numbers
- Whole numbers
- None Of these
The GCF of two consecutive natural numbers is always _____
- 1
- 0
- Undefined
- All of these
- None of These
Find the smallest number which, when divided by 3, 4 and 5 individually shall leave a remainder of 1?
- 21
- 61
- 46
- 60
- None of these
The product of LCM and GCF of two natural numbers is equal to the _____ of the two numbers.
- SUM
- Difference
- Product
- All of these
- None of These
Find the smallest number which can be exactly divided by the numbers 18, 24 & 48.
- 48
- 72
- 64
- 96
- 144
Find the largest number that will divide 398, 436 and 542 leaving 7, 11 & 15 respectively as reminder.
- 23
- 25
- 31
- 17
- 51
Find the smallest number which, when divided by 25, 40 & 60 leaves a remainder of 7 in each case.
- 207
- 300
- 600
- 607
- 200
The product of two numbers is 1260. If the LCM of the two numbers is 210, the HCF of the numbers shall be
- 6
- 210
- 42
- 30
- 21
Statement: Two numbers can have their HCF as 14 & LCM as 204.
Based on above statement select the correct alternative.
- Yes, they can
- Yes, these numbers are 56 & 51
- The statement is partially true
- The statement is partially false
- Absolutely no
A cat and mouse are descending from the ladder of eternity. The cat can jump 10 steps at a time and the mouse descends by jumping 4 steps at a time. The mouse is at 24th step when cat starts from the top of the ladder. At which step from top does the cat catches the mouse.
- 30
- 40
- 60
- 80
- 120
Mohan works at a bakery. He must box 30 cakes, 24 pastries, and 48 biscuits so that all of the boxes have the same number of each. What is the greatest number of boxes he can use?
- 8
- 6
- 12
- 4
- 2
Miss Gayatri's class has 12 girls and 20 boys. She wants to divide the students into groups so that, every student is in a group, each group has the same number of girls and each group has the same number of boys. What is the greatest number of groups that she can make?
- 4
- 2
- 3
- 5
- 6
An ice-cream vendor is taking continuous rounds of a residential colony on a tricycle cart. He passes Gautam's house after every 30 minutes. A fruit seller walking with his cart takes rounds on the same path and passes Gautam's house in every 50 minutes. If Gautam buys ice-creams and fruits from both of them together and the two start from his house at the same time, after how many minutes again will they pass simultaneously toghether in-front of Gautam's house.
- 120
- 90
- 150
- 160
- 140
A rectangular field measures 480 m x 144 m and is to be paved with square tiles. The owner wants the field to be paved with SQUARE tiles with MAXIMUM covering area. Find the size of such a square tile and the total number of tiles equired to completely pave the field.
- 96 & 7 respectively
- 24 & 120 respectively
- 48 & 30 respectively
- 36 & 54 respectively
- 72 & 7 respectively
Mr. Milkha runs around a track in 30 seconds and I can run around the track in 40 seconds. If we both start at the same time how many seconds will it be until we both cross the starting line together?
- 60
- 90
- 120
- 180
- 100