Long Division Method

Q. The length, breadth and height of a room are 8 m 25cm, 6m 75cm and 4m 50 cm respectively. Determine the longest rod which can measure the three dimensions of the room exactly.

Q.

Show that every positive integer is either even or odd.

Q.

50 bells B1 , B2 , B3 , .......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. Bells $B_{11}$ , $B_{22}$, $B_{33}$ and $B_{44}$ ring together in $2^2.a^1.b^1$ sec sec.Which of the following is always true about a and b ?

1. LCM of a and b is 22

2. HCF of a and b = 1

3. a = 11 and b = 5

4. HCF of a and b = 2

Q.

Which of the following does not satisfy the following property?
A number which divides 542 and 128 and leaves a remainder 2 in both cases.

1. 3

2. 6

3. 9

4. 12

Q.

Find the largest number which can divide both 324 and 144.

1. 21

2. 9

3. 36

4. 18

Q.

How to solve BODMAS sums?

Q.

Find the HCF of 275 and 525 by long division method and reduce $\frac{275}{525}$ to the simplest form.

1. $\frac{11}{21}$

2. $\frac{25}{51}$

3. $\frac{13}{27}$

4. $\frac{9}{19}$

Q. HCF of two numbers is 2 and product of two numbers is 2340. Find the LCM of two numbers.

1. 1100
2. 1170
3. 1235
4. 670

Q.

Question 2 (b)

What is the HCF of two consecutive even numbers?

Q. What is the least number that is exactly divisible by 15, 10 and 16?

1. 60
2. 160
3. 16
4. 240

Q. The Euclid's division algorithim to find the $HCF$ of
$196$ and $38220$

Q.

Find HCF of $70,105,175$ using the continued division method

Q.

Find the LCM by Division method

$8,24,48,80,120$

Q.

A farmer has 39 kg of wheat, 403 kg of oats and 182 kg of barley. He wishes to put the maximum and equal quantity of each into bags of equal size. What should be the capacity of each bag?

Q.

What are the common multiples? If a number is divisible by 16, which numbers will definitely be a factor of that number? [3 MARKS]

Q.

Find the LCM by Division method $(9,15,16,35,36)$

Q.

The approximate value of $1e$ is

Q.

Question 1 (c)

Write all the factors of the given number:
21

Q. Using Euclids algorithm, find the $HCF$ of $1480$ and $432$.

Q.

Find the common factor between
$2t,3t^2\text{and}4.$

1. 3

2. 2

3. 1

4. t

Q. In the HCF of $657$ and $963$ is expressible in the form $657x+963$ $\times$ $-15$ , find $x$.

Q.

What is the length of the longest rope which can be used to exactly measure 65cm and 115 cm?

1. 5 cm

2. 15 cm

3. 25 cm

4. 35 cm

Q. There are 96 apples and 112 oranges. These fruits are packed in boxes in such a way that each box contains fruits of the same variety, and every box contains an equal number of fruits. Find the minimum number of boxes in which all the fruits can be packed.

Q.

Question 6
If two positive integers a and b are written as $a=x^3{y}^{2}andb=x{y}^2$ where x, y are prime numbers, then HCF (a, b) is

A) $xy$
B) $x{y}^2$
C) $x^3{y}^3$
D) $x^2{y}^2$

Q.

Which of the following is not a method for finding the HCF?

1. Division Method

2. Prime Factor Method

3. Common Factor Method

4. Common Division Method

Q.

What is the simplest form of $\frac{105}{21}$?

Q.

Write down the members of set $A$, if it contains the square of the first five natural numbers.

Q. Which number is equal to
$\left(\frac{0.01}{0.01}+\frac{0.01}{0.1}\right)$

1. 10.1
2. 1.01
3. 1.1
4. 10.01

Q. Find the value of 35 ÷ 77 (rounded off to 2 decimal places).

1. 0.44
2. 0.45
3. 0.46
4. 0.47

Q.

A man earns $Rs15000$ in a month. If he spends $Rs9000$, then

Saving : Income $=$______