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In an imaginary language, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are substituted by a, b, c, d, e, f, g, h, i, j. If 10 is written as ba, then the value of [dc × f – (bf – d) × d] is equal to
1. bce
2. bcc
3. bea
4. bba

1 Answer

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Best answer
Correct Answer - Option 1 : bce
Number

Letter

0 a
1 b
2 c
3 d
4 e
5 f
6 g
7 h
8 i
9

j

 

1=b;0=a

10 = ba

Now, for the equation [dc x f - (bf - d) x d]

dc = 32; f = 5; bf = 15; d = 3

[ 32 x 5 - (15 - 3) x 3 ]

= [ 32 x 5 - 12 x 3 ]

= [ 160 - 36 ]

= [ 124 ]

= [ bce ]

Therefore, Option 1 is the correct answer.

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