Successor and Predecessor

Q.

How many numbers between $5000$and $10000$can be formed using the digits $1,2,3,4,5,6,7,8,9$each digit appearing not more than once in each number?

1. $5\times {}^{8}P_3$

2. $5\times {}^{8}C_3$

3. $5!\times {}^{8}P_3$

4. $5!\times {}^{8}C_3$

Q.

Question 16
The product of a non-zero whole number and its successor is always

(A) an even number
(B) an odd number
(C) a prime number
(D) divisible by 3

Q.

What is the predecessor of $0$ in whole numbers $?$

Q. The successor of a 3 digit number can be a _____ digit or a _____ digit number.

1. 2, 4
2. 4, 5
3. 3, 4
4. 2, 3

Q.

What are the whole numbers between 100 and 200 which do not change if the digits are written in reverse order?

Q.

Question 22
The predecessor of 1 lakh is

(A) 99000
(B) 99999
(C) 999999
(D) 100001

Q.

Question 4(b)
Simplify : $a(a^2+a+1)+5$ and find its value for (i) a=0 (ii) a=1 (iii) a=-1.

Q.

Write the whole number whose successor is $50795$

Q.

Question 34

The two digit number whose ten's digit is t and unit digit is u is ___ .

Q.

Arrange $7,15,840,98,756,8,94,105,17,18,195,98,678,8,95,103$ in ascending order

Q.

Without drawing a diagram, find (i) ${10}^{th}$ square number (ii) $6^{th}$ triangular number

Q.

Which of the following number lines represents the whole numbers greater than 4 but less than 7?

1. 

2. 

3. 

4. 

Q.

Take a 3 digit number ${}^{\prime }ab{c}^{\prime }$. If we add $abc,cab$ and$bca$ together then the resulting sum is divisible by:

1. 37

2. 111 and 37

3. 11

4. 111

Q. Which of the following is the successor of 978.

1. 977
2. 979
3. 978
4. 981

Q.

Question 7 (c)

Between which two whole numbers on the number line does the given number lie? Which of these whole numbers is nearer the given number?

2.6

Q.

Question 78

In the following question, state whether the statement is True (T) or False (F):

The value of p for ${51}^2-{49}^2=100p$ is 2.

Q.

Fill in the blanks: $6^2$ + $7^2$ + $($___${)}^2$ = ${43}^2$

Q. The successor of a two digit number is always a two digit number

1. True
2. False

Q. The predecessors of a 4 digit number can be a _____ digit or a _____ digit number.

1. 2, 3
2. 3, 4
3. 1, 2
4. 2, 4

Q.

fFind the answers of the following addition

$\left(20\right)+\left(6\right)$

Q. The sum of digits of a two digit number is $10$. If the new number formed by reversing the digits is less than the original number by $36$. Then find the original number.

1. $82$
2. $73$
3. $64$
4. $55$

Q. The sum of digits of two digit number is $11$. If the new number formed by reversing the digits, is more than the original number by $9$. Then find the original number.

1. $55$
2. $70$
3. $56$
4. $60$

Q. The successor of a 3 digit number can be a _____ digit or a _____ digit number.

1. 3, 4
2. 2, 3
3. 2, 4
4. 4, 5

Q. In the following pair of numbers, state which whole number is on the left of the other number on the number line? Also write them with the appropriate sign (>, <) between them.
9830415, 10023001

Q. The sum of digits of two digit number is $4$. If the new number formed by reversing the digits is more than the original number by $18$. Find the original number.

1. $10$
2. $12$
3. $11$
4. $13$

Q. The sum of the digits of a two digit number is $5$. If the digits are reversed, the new number is $27$ less than the original. Find the number.

1. $11$
2. $13$
3. $12$
4. $41$

Q. What are the missing numbers in the division using the partial quotient method for 209$÷$19?

1. 10, 1, and 11
2. 19, 1, and 19
3. 10, 1, and 19
4. 19, 10, and 1

Q. The digit at the ten's place of a $2$-digit number is double of the digit at the unit's place. If the sum of this number and the number formed by reversing the digits is $33$. Find the number.

1. $20$
2. $21$
3. $23$
4. $22$

Q. In the following pair of numbers, state which whole number is on the left of the other number on the number line? Also write them with the appropriate sign (>, <) between them.
9830415, 10023001
[2 marks]

Q. Solve:
$35-(9+9+9)÷3$

1. 26
2. 30
3. 22
4. 18