LCM

Q.

The Lcm of two numbers is 48. If their ratio is 2:3, find their sum

Q.

A man travelled $\frac{2}{5}$th of his journey by train, $\frac{1}{3}$th by taxi, $\frac{1}{6}$th by bus and remaining $10km$ on foot. Find the length of his total journey.

Q. Find the least number which when divided by 12, 15, 18 and 24 leaves a remainder 5 in each case.

1. 365
2. 355
3. 360
4. 300

Q.

If 2A=3B=5C then find a:b:c.

Q. Find the smallest number which on adding 19 to it is exactly divisible by 28, 36 and 45.

1. 1200
2. 1214
3. 1241
4. 1251

Q. If A : B = 3 : 5 and B : C = 4 : 7 , find A : B : C.

Q. 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 seconds and C in 198 seconds, all starting at the same point. At what time will the three of them meet together at the starting point? ​

1. 26 min and 18 sec
2. 42 min and 36 sec
3. 45 min and 18 sec
4. 46 min and 12 sec

Q. It is given that the sum of three rational numbers is $\frac{2}{3}$. Among the three numbers, two numbers are $\frac{5}{6}$ and $\frac{1}{4}$, find the third one.

1. $\frac{-5}{6}$
2. $\frac{-5}{12}$
3. $\frac{-7}{12}$
4. $\frac{-1}{3}$

Q. The LCM and HCF of two numbers are 432 and 72 respectively. If one of the numbers is 216, what is the other ?

1. 432
2. 114
3. 144
4. 72

Q.

If three planets revolve round the sun once in $200,250and300$ days respectivily in their own orbits, when do they all come together again to the present places.

Q.

LCM and HCF of two numbers is 12 and 2 respectively. If one of the numbers is 6 then the other number is ____

1. 6

2. 4

3. 12

4. 14

Q.

Four bells ring at intervals of $6,7,8$ and $9$ seconds respectively. After how many seconds do all the bells ring together?

1. $504$

2. $516$

3. $508$

4. $512$

Q. I have 20 oranges. What is the least number of oranges I need to take such that I can divide the oranges into groups of 6 or groups of 9 without leftovers?

1. 12
2. 15
3. 18
4. 9

Q. Three bells ring at interval of $7,10$ and $14$ minutes respectively. They begin by ringing together. After how long will they ring together again?

Q.

Samaira heard 3 bells toll together at 10:00 AM. The first bell tolls after 5 second, the second tolls after 9 seconds and the third tolls after 10 seconds. When will they toll together again?

1. After 2 minutes and 30 seconds
2. After 45 seconds
3. After 3 minutes
4. After 90 seconds

Q.

Find the product of LCM and HCF for the numbers 20 and 15.

1. 100

2. 200

3. 400

4. 300

Q.

Express $1000$ as product of powers of their prime factors.

Q. Three bells start chiming at the same time and they chime at the interval of 56 seconds, 72 seconds and 120 seconds respectively. After how many seconds will they chime again together?

1. 4320 seconds
2. 1200 seconds
3. 1120 seconds
4. 2520 seconds

Q.

The product of two digit two-numbers is 2700 and their L.C.M is 180, then what is the sum of the two numbers?

Q.

There are 3 taps. Water starts to drip from the three taps. A drop of water comes out of first, second and third tap every 2 seconds, 4 seconds and 7 seconds respectively. After how many seconds will the drops of water from all the three taps fall together?

1. 28 seconds

2. 42 seconds

3. 56 seconds

4. 14 seconds

Q.

Question 4

Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.

Q.

Rashi is going to plant 54 oak trees and 27 pine trees. She wants to plant them in such a way that all rows have the same number of trees and each row is made up of only one type of tree. What is the greatest number of trees Rashi can have in each row?

1. 27

2. 9

3. None of These

4. 54

Q. The least number which is exactly divisible by 20, 30 and 40 is ____.

1. 120
2. 100
3. 180
4. 150

Q.

The common multiple of $4$ and $6$( less than $60$ ) are …………. , …………. , …………. , and …………. .

Q.

Write $720$ as a product of the power of its prime factors? Also, write the index of the power of each prime number.

Q.

The sum of two rational numbers is $\frac{-4}{7}$ . If one of these numbers is $\frac{-3}{14}$, find the other.

1. $\frac{-1}{14}$

2. $\frac{-5}{14}$

3. $\frac{-19}{14}$

4. $\frac{19}{14}$

Q.

Question 5

Determine the largest 3-digit number which is exactly divisible by 8, 10 and 12.

Q. If x is equal to 1/10 and y is equal to (-3/8)
Then what will be x+y , . x-y , and x multiplied by y

Q.

Question 10 (d)

Find the LCM of the following numbers:
15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Q.

The LCM of two numbers is 4800 and their HCF is 160. If one of the numbers is 480, then the second number is

1. 1600

2. 480

3. 160

4. 240