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The number of whole numbers between the smallest 2 digit whole number and the greatest 2digit whole number is:
Smallest 2 digit whole number = 10
Greatest 2 digit whole number= 99
So the numbers between 10 and 99 are 10,11,12,……,99 i.e. there are 88 whole numbers between 10 and 99.
The predecessor of smallest 4 digit whole number?
Smallest 4 digit number=1000
Predecessor of Smallest 4 digit number =
The whole number n satisfying \({\rm{n + 85 = 200}}\)
On dividing 25942 by a certain number, the quotient is 207 and the remainder is 67. Find the divisor.
It is given that
Dividend = 25942
Quotient = 207
Remainder = 67
Consider the divisor as X
We know that
Dividend = Divisor × Quotient + Remainder
By substituting values
On further calculation
So, we get
By division
X= 125
The least number of 4digits which is exactly divisible by 6 is
Smallest 4 digit number divisible by 6 is 1002.
The \(8\; \times \;458\; \times \;25\) is
We can write it as
On further calculation
The value of \(1836 \times 1356 – 1836\; \times \;356\) is
By using the distributive law of multiplication over subtraction
On further calculation
The value of \(77\; \times \;99\) is
If you’re on a diet and have a breakfast consisting of 155 calories, a lunch consisting of 356 calories, and a dinner consisting of 1100 calories.
Find the sum of the calories consumed that day.
Breakfast = 155 calories
Lunch = 356 calories.
Dinner = 1100 calories.
The sum of the calories consumed that day is 155+356+1100 = 1611 calories.
\({\rm{12 }} \times {\rm{ }}625{\rm{ }} \times {\rm{ 25 }}\)
\(8{\rm{ }} \times {\rm{ }}125{\rm{ }} \times {\rm{ 5}}0{\rm{ }} \times {\rm{ 20}}\)
Product of two integers is – 132. If one of the integers is – 6, then the other is_____________.
Let the other integer be x
Then,
The integer which is 4 more than \(\left( { – 11{\rm{ }} + {\rm{ }}\left( 8 \right)} \right)\) is
4 more than 3 is
If there is positive sign before a bracket then the sign of the inside terms will _________ when the bracket is removed.
If there is positive sign before a bracket then the sign of the inside terms will not change when the bracket is removed.
Example
Fill in the blank to make the expression correct
Therefore,
Which of the following numbers is a prime number?
Therefore, 67 is a prime number.
If there is negative sign before a bracket then the sign of the inside terms will _________ when the bracket is removed.
If there is positive sign before a bracket then the sign of the inside terms will change when the bracket is removed.
Example
The greatest number which divides 176 and 156 leaving 4 as remainder in each case is
Subtract the required remainder from 176 and 156.
So we get 261 and 148.
HCF = 4
Hence, the greatest number which divides 176 and 156 leaving 4 as remainder in each case is 4
The least number divisible by each of the numbers 6,52,24 and 32 is
We know that the LCM of 6,52,24 and 32 is
So the
Subtract the number obtained by reversing the digits of the number 25461 from the number obtained by interchanging the digits in the ten’s place and the hundred’s place of the same number, we get
original number =25461
Reversing the digit = 16452
Interchange the digit of tens place & hundreds place = 25641
Difference = 2564116452=9189
Which of the following is correct?
44 is smaller than 27
So accordingly the correct option is 44<27<0<9
The product of two numbers is 1,344 and their HCF is 8. The LCM of these numbers is
Product of two numbers = HCF of two numbers × LCM of two numbers
Therefore,
1344=8 × LCM of two numbers
LCM of two numbers
John’s monthly salary is Rs. 12000. He spends Rs. 1450 for his son’s education, Rs. 550 for purchasing clothes, Rs. 450 for purchasing vegetables, milk, etc., Rs. 1500 for purchasing medicine and pays a rent of Rs. 5000 in a particular month. How much does he save in this month?
John’s monthly salary = ₹30,000
Son’s education =₹2000
Medicines = ₹700
Rent=₹10,000
Total expenditure=₹2000+₹700+₹10,000=12,700
Savings= Total salary – Total expenditure = 30,000 – 12,700 = ₹17,300
Every natural number have infinite number of _______?
We get multiples by multiplying the number by any number.
Therefore, every natural number has an infinite number of multiples.
The product of any natural number and the smallest odd is
We know that smallest odd number is 1
So, 1 multiplied by any natural number is the number itself.