Example 1:
Find the element which is 9th to the left of the 7th element from the right end?
a) Z
b) @
c) U
d) 1
e) None of these.
Solution:
7th element from the right end is – G
9th element to the left of G is Z
So, the answer is Z.
Now, shortcut.
Here we have to find the 9th to the left of the 7th element from the right end.
So, for this,
9th + 7th = 16th from the right end
The 16th element from the right end is Z
So, the answer is Z.
This is option (a).
Example 2:
Find the element which is 12th from the left end?
a) 2
b) 9
c) %
d) @
e) None of these
Solution:
In the above arrangement, 9 is the element that is 12th from the left end.
Example 3:
Find how many symbols are there which are immediately preceded by a number and followed by an alphabet?
a) 2
b) 3
c) 4
d) 1
e) None of these
Solution:
9@Z
5!D
6*L
So, the answer is 3.
Which is option (b).
N.B: Proceeded by means immediately previous. Followed by means immediately after.
Example 4:
The following questions are based on the five three digit numbers.
365, 587, 452, 645, 729.
Q.1: If the first and third digits of each of the numbers are interchanged, then which of the following will be the third digit of the third highest number?
a) 4
b) 3
c) 5
d) 7
e) None of these.
Q.2: If all the numbers are arranged in descending order from left to right then find the difference between the numbers which are second from the left and second from the right?
a) 193
b) 213
c) 183
d) 225
e) None of these
Q.3: What will be the result if the 2nd digit of the highest number is added with the third digit of the lowest number?
a) 10
b) 11
c) 12
d) 13
e) None of these
Q.4: If all the digits of each number are arranged in ascending order within the number then which will be the lowest?
a) 729
b) 452
c) 365
d) 645
e) 587
Q.5: What is the difference between the highest and lowest number?
a) 358
b) 364
c) 485
d) 235
e) None of these
Solution:
1. 365 587 452 645 729
The first and third digits are interchanged then,
563 785 254 546 927
The third highest number is 563.
So, the third digit is 3.
So, option (b) is correct.
2. If all the numbers are arranged in descending order from left to right then,
729 645 587 452 365
The second number from the left end is 645
Second number from the right end 452
Difference = 645 - 452 = 193
So, option (a) is correct.
3. The second digit of the highest number is 2
The third digit of the lowest number is 5
So, resultant is 2 + 5 = 7
So, option (e) is correct.
4.
365 587 452 645 729
If all the digits of each number are arranged in ascending order within the number then,
256 578 245 456 279
So, the lowest number is 245 which comes from 452.
So, option (b) is correct
5.
The highest number is 729
The lowest number is 365
So, the difference is 364
So, option (b) is correct.
Example 5:
Study the following arrangements carefully and answer the following question?
3 @ 9 ! 6 A B 2 # 5 @ 7 M 2 D $ 3 N 6 * 6 1
Q.1: How many symbols are there in the above arrangement?
a) 7
b) 6
c) 8
d) 9
e) None of these
Q.2: If all the symbols are withdrawn from the series then which will be 3rd to the left of 5th from the right end?
a) M
b) 5
c) 7
d) 2
e) None of these
Q.3: How many alphabets are there which are immediately preceded and followed by both numbers?
a) 4
b) 3
c) 2
d) 1
e) None of these
Q.4: What is the sum of all the numbers between ! and *?
a) 29
b) 25
c) 27
d) 23
e) None of these
Q.5: Find the element which is 3rd to the right of 7th from the right end?
a) 3
b) 9
c) *
d) 6
e) None of these
Solution:
1. Total symbol is 6
So, option (b) is correct.
2. If all the symbols are withdrawn from the series then the series will be
3 9 6 A B 2 5 7 M 2 D 3 9 6 6 %
Now, 3rd to the left of 5th from the right end means (3 + 5)th = 8th from the right end.
M is the 8th element from the right end.
So, option (a) is correct.
3. 7 M 2
3 N 6
There are two alphabets which are both preceded and followed by numbers.
So, option (c) is correct.
4. Numbers between ! and * are 6, 2, 5, 7, 2, 3
Sum = 6 + 2 + 5 + 7 + 2 + 3 = 25
So, option (b) is correct.
5. 3rd to the right of 7th from the right end.
If means (7 - 3)th = 4th from the right end.
So, 6 is the 4th element from the right end.
So, option (d) is correct.
More examples on Alpha Numeric Series
Example 1:
How many pairs of letters are there in the word ‘CONSERVATION’ which has as many letters between them as present in English alphabetical order?
a) 6
b) 5
c) 7
d) 4
e) None of these
Solution:
So, six pairs of letters are there which have as many letters between them as English alphabet letters.
So, option (a) is correct.
Example 2:
The given questions are based on five words which are as given.
PET RAT TIN FUR LED
Q.1: If the last letter of each word is replaced by the next letter then how many words have at least two vowels?
a) 2
b) 3
c) 1
d) 4
e) None of these
Q.2: If all the words are written side by side without any gap from left to right, then which of the following letter will be 9th to the right of the 2nd vowel from the left?
a) E
b) L
c) D
d) R
e) None of these
Q.3: If all the vowels in all the words are dropped and all the remaining letters are written in alphabetical order from left to right then which is the 7th from the right end?
a) N
b) T
c) R
d) F
e) None of these
Q.4: If all the letters are written side by side without a gap and every second letter is dropped then how many vowels will remain there?
a) 1
b) 2
c) 3
d) 4
e) None of these
Q.5: If the first letter of each word is replaced by B, then how many meaningful words are formed?
a) 2
b) 3
c) 4
d) 5
e) None of these
Solution:
1. PET RAT TIN FUR LED
The last letter of each word is replaced by the next letter as per the alphabet. So, the new words are
PEU RAU TIO FUS LEE
So, 4 words have at least 2 vowels.
So, option (d) is correct.
2. If all the letters are written side by side then,
PETRATTINFURLED
2nd vowel from the left end – A
9th letter to the right of A is - E
So, option (a) is correct.
3. If all the vowel are dropped and all the remaining words were written side by side then,
PTRTTNFRLD
So, the 7th letter from the right end is – T
So, option (b) is correct.
4. If all the letters are written side by side then,
PETRATTINFURLED
If every second letter is dropped
PTATNULD
So, there are two vowels remaining in the string.
So, option (b) is correct.
5. If the first word is replaced by B then, the words will be
BET BAT BIN BUR BED
Here all are meaningful words
So, option (d) is correct.
Example 3:
How many pairs of numbers are there in the number ‘3 6 9 2 4 3 7 5 9 2 1 4’ which has as many numbers between them as present in the number system?
a) 3
b) 4
c) 2
d) 5
e) None of these
Solution:
3 6 9 2 4 3 7 5 2 1 4
(i) 3 6 9 2 4 3 7 5 2 1 4 – (2 and 1)
(ii) 3 6 9 2 4 3 7 5 2 1 4 – (2 and 4)
(iii) 3 6 9 2 4 3 7 5 2 1 4 – (3 and 4)
(iv) 3 6 9 2 4 3 7 5 2 1 4 – (3 and 5)
So, 4 pairs of numbers are there.
So, option (b) is correct.