Question

The letter in the word ULTRAVIOLET are arranged in the alphabetical order and each letter is assigned numerical value equal to its serial number as in the English alphabet,what is the difference between the sum of the odd-positioned numbers and that of even-positioned numbers?

• A. 11
• B. 7
• C. 15
• D. 9

Answer 1

The correct option is D 9

This is the given word: ULTRAVIOLET

U	L	T	R	A	V	I	O	L	E	T
21	12	20	18	1	22	9	15	12	5	20

After arranging in the alphabetical order with serial number.

A	E	I	L	L	O	T	T	R	U	V
1	5	9	12	12	15	20	20	18	21	22

Below mentioned table is used for reference.

A	B	C	D	E	F	G	H	I	J	K	L	M
1	2	3	4	5	6	7	8	9	10	11	12	13
N	O	P	Q	R	S	T	U	V	W	X	Y	Z
14	15	16	17	18	19	20	21	22	23	24	25	26

When we arrange the word ULTRAVIOLET in the alphabetical order we get,

AEILLOTTRUV.

Odd Positioned Alphabets are A,I,L,T,R,V.

Sum of the numerical value is as follows

$1+9+12+20+18+22\to 82$

Even Positioned Alphabets are E,L,O,T,U.

Sum of the numerical value is as follows

$5+12+15+20+21\to 73$

{Sum of odd positioned numbers} $-$ {Sum of even positioned numbers}] $\to 82-73\to 9$

Hence difference is $9.$