Question

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

• A. $10$
• B. $12$
• C. $16$
• D. $17$

Answer 1

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 $\left(C\right)$ is the correct answer.