Answer

Verified

411.9k+ views

**Hint:**One approach to the question is for you to make up some simple number sentences in the format “number +/–/x/÷ number = number” and then to look for a repeated digit that they could remove and replace with a alphabet.

You need to think about patterns (or strategies) that you may use, such as:

• odd + odd = even (for example: 9 + 5 = 14)

• odd – odd = even (for example: 9 – 5 = 4)

• even + even = even

• even + odd = odd

• even – odd = odd

• odd – even = odd

• odd x odd = odd

• even x even = even

• odd x even = even.

**Complete step-by-step answer:**

If ′A′ stands for 2 and ′C′ stands for 6

When ‘A’, ‘B’ and ‘C’ are multiplied by ‘E’ then the product doesn’t change. So, the value of ‘E’ = 1

So, now by replacing the value of ‘A’, ‘C’ and ‘E’

When ‘2B6’ is multiplied with ‘D’ then 2 comes in unit place.

Now, 2 appears as a unit digit when 6 is multiplied by either 2 or 7.

Value of ‘D’ cannot be 2 as 2 is already a value of ‘A’.

So value of ‘D’ =7

As we can see out of 10 integers we have already used 1, 2, 6, 7

So, now we are left with 0, 3, 4, 5, 8, 9

So, lets try to put the value of ‘B’ as 0

The calculation is not coming correct.

So, lets try to put the value of ‘B’ as 3

The calculation is coming correct.

So, the value of ‘M’ is 5

**So, the correct answer is “Option C”.**

**Note:**Most of these types of questions could be done using trial and improvement, but you will like to find it more efficient (and more satisfying) to first narrow the range of options as much as possible by studying the problem and seeing what you can deduce.We should be careful while choosing numbers as in question said that all letters represents different integers so none of them should not be repeated.

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail