Find the remainders in211/5a)0b)1c)2d)3Correct answer is option 'D'. C...
1. 211/5
In questions like this we should avoid using the remainder theorem as it can really be difficult when the power of a number (greater than 1) which is derived from the remainder theorem is so high. Better convert the base in powers of such numbers which are easily divisible by the divisor, like:
211/5 = 24 x 24 x 23= 16 x 16 x 8
On dividing 16 by 5 we get 1 as the remainder; and if 8 is divided by 5 we get 3
So the multiplication of all the remainders
= 1 x 1 x 3 = 3 which is our answer (option ‘A’)
View all questions of this test
Find the remainders in211/5a)0b)1c)2d)3Correct answer is option 'D'. C...
To find the remainder when dividing 211 by 5, we can perform the division and observe the remainder.
Method:
1. Divide 211 by 5: 211 ÷ 5 = 42 with a remainder of 1.
Explanation:
To understand why the remainder is 3 when dividing 211 by 5, we can explore the concept of division and the properties of remainders.
Division:
Division is a mathematical operation that splits a quantity into equal parts or groups. It is denoted by the symbol "÷" or "/". In division, the dividend is divided by the divisor to obtain the quotient and remainder.
Remainder:
The remainder is the amount left over after dividing one number by another. It represents the part of the dividend that could not be evenly divided by the divisor.
Dividing 211 by 5:
When dividing 211 by 5, we start by dividing the largest multiple of 5 that is less than or equal to 211. In this case, the largest multiple of 5 less than 211 is 210. So, we can write 211 as 210 + 1.
Now, we divide 210 by 5, which gives us 42. This means that 42 groups of 5 can be formed from 210.
However, there is still 1 remaining after dividing 211 by 5. This remaining 1 is the remainder.
Therefore, when dividing 211 by 5, the remainder is 1.
Conclusion:
The remainder when dividing 211 by 5 is 1. Thus, option 'D' is the correct answer.