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Question

Digit 7 does not occur in the following multiplication. Find the missing digits denoted by different letters.
What is the sum of the digits of Multiplicand?

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A
11
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B
12
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C
9
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D
10
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Solution

The correct option is A 11
Observe the 3rd row of multiplication
3 X B = 3 so B = 1
Observe row 1 of multiplication
D X 2 + carry one = 5 so D = 2
F = 2 and O = 2
Observe row 2 of multiplication
C X A = 6 or 16
for C X A to be 6, A and C take value 6 and 1 respectively to meet the conditions but the multiplication brings 7 in the 3rd row. So we discard 6 and for 16
A = 8 and C = 2
Putting values accordingly,
we get values as given in above solved multiplication.
Sum of the digits of the multiplicand = 2+8+1 = 11
Option A

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