Question : Directions: In a certain code language BOTTLE is written as 148, and SIPPER is written as 166. How will BUMPER be written in that language?
Option 1: 160
Option 2: 170
Option 3: 150
Option 4: 180
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Correct Answer: 150
Solution :
Given:
BOTTLE is written as 148, and SIPPER is written as 166.
Multiply the sum of the position values of each letter of BOTTLE by 2 to obtain the required code –
The position values of BOTTLE are –
B→2; O→15; T→20; T→20; L→12; E→5
(2 + 15 + 20 + 20 + 12 + 5) × 2 = 74 × 2 = 148
Thus, BOTTLE is coded as 148.
And, SIPPER is written as 166 –
The position values of SIPPER are –
S→19; I→9; P→16; P→16; E→5; R→18
(19 + 9 + 16 + 16 + 5 + 18) × 2 = 83 × 2 = 166
Thus, SIPPER is coded as 166.
Similarly, follow the same pattern for BUMPER –
The position values of BUMPER are –
B→2; U→21; M→13; P→16; E→5; R→18
(2 + 21 + 13 + 16 + 5 + 18) × 2 = 75 × 2 = 150
Thus, BUMPER is coded as 150. Hence, the third option is correct.
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