1. | Value of H ? | |||

(a) 5 | (b) 6 | (c) 7 | (d) 8 |

2. | Which of the following set contains even numbers only ? | |||

(a) H, M, K | (b) A, V, E | (c) N, X, W | (d) H, A, N |

3. | Value of N ? | |||

(a) 6 | (b) 7 | (c) 8 | (d) 9 |

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846*537

can anybody explain this.

In the question you can see that X+X=A and M is written as it is at last which means that there is no carry generated from X+X

This implies A is not greater than 9 and as X+X=A thus possible values of X could be {1,2,3,4} . X will not be 5 as 5+5=10 which would generate a carry.

Now use the possible values of X to began hit and trail on HMK×E cause it gives ANXX as a product.

A G E

O A T

————————————————————–

S O A R

H O G

G O T O

—————————————————————

G E C O I R

See either O+1=E or O+2=E because (S+H+T can give max upto 2 as remainder.) Also O*E=O that means there are two possibilities:-

1) Either O is 5 and E is an odd(thus O=5 and E=7 . E cannt be 6 cause O*E gives back E.)

2) Or O is any even number and E is 6.

But as we can see O+O+O=O which is possible if O=5. So put O=5 and E=7 and proceed.

Now

7

A G E

5

*O

———————————————–

5 5

G O T O

which is possible if A=3 and G =1. and it will give you T=8.

(Note – every time keep updating the mapping figure and terminate the trial if conflict occurs. )

Contact me on “deepdeepak@gmail.com” for more detail and help.

good questions for practice