Question

A A

X A B

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B B

A A X

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A 3 B

In the correctly worked out multiplication problem above, each letter represent a different digit. What is the value of B ?

• A. 1
• B. 2
• C. 4
• D. 5

Answer 1

Answer: (B)

2

Since A X B gives B in its unit place without generating carry (Because Tens place A X B also gives B )

And A X A gives A in its units place without generating a carry. (2nd row of multiplication), we can guess AA is 11

So,

1 1

X 1 B

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B B

1 1 X

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1 3 B

so 1 + B = 3

Hence the value of B is 2.

1 1

X 1 2

-----------

2 2

1 1 X

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1 3 2 satisfies given conditions.

option B