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Question

If DEAR is coded as 7 and BEARS as 9, what should be the code for WAX ?

A
10
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B
12
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C
16
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D
17
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Solution

The correct option is C 16
Given, DEAR is coded as 7 and BEARS as 9.
Here, there are 4 letters in the word DEAR and 5 letters in the word BEARS.
Consider A =1, B =2, C =3,....., Z =26
Now, DEAR = D + E + A + R
D + E + A + R =4+5+1+18=28
Divide 28 by 4 (number of letters in DEAR), we get
28÷4=7
So, DEAR =7
Similarly, BEARS = B + E + A + R + S
B + E + A + R + S =2+5+1+18+19=45
Divide 45 by 5 (number of letters in BEARS), we get
45÷5=9
So, BEARS =9
Now, WAX = W + A + X
W + A + X =23+1+24=48
Divide 48 by 3 (number of letters in WAX), we get
48÷3=16
Therefore, WAX is coded as 16.
Hence, option (C) is the correct answer.

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