Introduction to Numbers

Q.

The lower limit of the class interval 35-45 is

1. 40

2. 45

3. 35

4. 30

Q. is 1 a prime number or composite number and why?

Q.

The prime factorization of 4704 is?

1. 2x2x2x2x2x3x7x7

2. 2x2x2x2x2x2x3x7

3. 2x2x2x2x2x7x7

4. 2x2x2x2x3x7x7

Q. 1681, 1764, 1849, 1936, ? A)2005 B)2035 C)2025 D)2000

Q.

Fill in the blanks:

(a) The number 0 is not in the set of __________.

(b) The least number in the set of all whole numbers __________.

(c) The least number in the set of all even natural numbers is __________.

(d) The successor of 8 in the set of all natural numbers is ___________.

(e) The sum of two odd integers is ___________.

(f) The product of two odd integers is___________.

Q. Counting in ten thousands, write the numbers from 589026755 to 589096755.

Q. State whether true or false:

1. True
2. False

Q. Match the numbers with their correct place values, if the given number is 239.

1. 200
2. 9
3. 30

Q. Number of integers between -5 and 2 is.

1. 5
2. 6
3. 4
4. 7

Q. Two numbers are in the ratio of $4:5$ if difference of their cubes is $61$. Find the numbers.

Q.

How many digits are there in the number 2³ × 5⁴ × 20⁵?

Q. Complete the series 4 , 4.5 , 11 , 25 , ? , 269.5

Q. Subtract the second term from first term.
$8x,5x$

Q. The table shows the population of the two countries in North America in 2011.

$\begin{array}{ccc}\text{Country}& \text{Canada}& \text{Mexico}\\ \text{Population}& 3.38\times {10}^7& 1.1\times {10}^8\end{array}$

Using the population table above, how many more people live in Mexico than in Canada?

Q. James has 26 coins worth ₹255. If x is the number of ₹5 coins and the rest are ₹10 coins, the difference between the number of ₹10 and ₹5 coins is

1. 25
2. 1
3. 24

Q.

In a hypothetical sample of 20 people, the amount of money (in ₹ thousands) with each was found to be as follows :
114, 108, 100, 98, 101, 109, 117, 119, 126, 131,
136, 143, 156, 169, 182, 195, 207, 219, 235, 118
Draw a histogram of the frequency distribution, taking one of the class intervals as 50-100.

Q.

The prime factorisation of 32 is:

1. 2x2x4x2

2. 4x4x2

3. 2x2x2x2x2

4. 8x2x2

Q. How many consecutive odd numbers will be needed to obtain the sum of $6^3$?

1. $6$
2. $5$
3. $4$
4. $3$

Q. How many consecutive odd numbers will be needed to obtain the sum of $4^3$?

1. $4$
2. $5$
3. $2$
4. $3$

Q.

State true or false.

There is no limit on how large a whole number can be .

1. True
2. False

Q. Find the digits $p$ and $q$ if $p76q$ is divisible by $30$.

Q.

What is the absolute value of -21?

1. 0

2. 21

3. -21

4. 1

Q. Add and express the sum as rational number( -11/4) and 24/7

Q.

How many of the following are natural numbers ?

12, 34.66, 0 and 900000

1. 1

2. 2

3. 4

4. 3

Q. Complete the following life table:-

$x$	$l_x$	$d_x$	$q_x$	$p_x$	$L_x$
$4$	$9100$	$60$	$?$	$?$	$?$
$5$	$?$	$45$	$?$	$?$

Q.

Answer the following.

Which is the smallest natural number$?$

Q.

Which of the following is/are the whole numbers?

1. Both a and b
2. Negative Integers
3. Natural Numbers
4. 0

Q. If ${\left(\frac{1+i}{1+i}\right)}^3-{\left(\frac{1-i}{1+i}\right)}^3=x+iy$, find $x$ and $y$