How many pairs of letters are there in the word 'CASTRAPHONE' which have as many letters between them in the word as in the alphabet?
Answer: D
Looking into the alphabets there are four such pairs namely ON,EH,ST,TO.
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What should come next in the following letter sequence?
A A B A B C A B C D A B C D E A B C D
Answer: B
Correct answer: E
The series is built of blocks that grow by one letter each time, each starting again at A:
A | A B | A B C | A B C D | A B C D E | A B C D ...
The final block has reached A B C D and is the sixth, so it must run to F. The next letter after D is therefore E.
Recognising the block structure is the whole of the problem; the letters within each block are simply the alphabet from the start.
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Which should be the ninth letter to the right of 17th letter from the right, if second half of the alphabet is reversed?
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Answer: C
Correct answer: U
Write out the arrangement. A to M keep positions 1 to 13, and N to Z reversed occupy 14 to 26:
A B C D E F G H I J K L M Z Y X W V U T S R Q P O N
The 17th letter from the right is at position 10, which is J. Nine to the right of J is position 19:
\[ 10 + 9 = 19 \rightarrow U \]
Only the second half is reversed, so the first thirteen positions are untouched and J is where it always was.
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H D Y S M W N B Q P O C R T B L Z V E G U F
Which letter has the same neighbours as in the alphabetical order although they have changed places ?
Answer: C
Correct answer: P
Reading the series H D Y S M W N B Q P O C R T B L Z V E G U F, P is flanked by Q and O.
In the alphabet, O and Q are precisely P's two neighbours. The pair is the same; only the order has reversed, which is what the question allows for.
The three distractors fail on inspection: M is flanked by S and W, N by W and B, and O by P and C.
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Which letter will be 13th to the left of 11th letter from the right in the following series of letters?
W Q E T R Y I P U O A G S D F H L K J B C X M V Z N
Answer: C
Correct answer: E
The series has twenty-six letters, so the eleventh from the right is at position
\[ 26 - 11 + 1 = 16 \]
Counting into W Q E T R Y I P U O A G S D F H..., position 16 is H.
Thirteen to the left of H is position 3:
\[ 16 - 13 = 3 \rightarrow E \]
Working in positions rather than counting letters twice keeps the two steps independent.
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How many A's are there in the following series which are immediately followed by B as well as immediately precedeed by Z ?
A M B Z A N A A B Z A B A Z B A P Z A B A Z A B
Answer: C
A M B Z A N A A B Z A B A Z B A P Z A B A Z A B
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In the following series, count each N which is immediately followed by X but X is not immediately followed by T. How many such N's are there ?
N X N T Q M N X T M X N X C N Q M N N X Q N X T X N A M X N X M
Answer: B
N X N T Q M N X T M X N X C N Q M
N N X Q N X T X N A M X N X M
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If the letters in the word RUTHENIUM are rearranged in the alphabatical order, which letter will be second to the right of middle letter?
Answer: B
Correct answer: T
Sort the letters of RUTHENIUM alphabetically:
E H I M N R T U U
There are nine letters, so the middle one is the 5th, N.
Two to the right of N gives the 7th letter, T. The word contains two U's, and keeping both in the sorted list matters - dropping the duplicate would give eight letters and no single middle.
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The following question is based on the following alphabet series.
A B C D E F G H I J K L M
N O P Q R S T U V W X Y Z
Write the above English alphabet in reverse order. First cancel every second letter and then select that letter which divides the remaining letters of the alphabet in two equal parts. This letter is :
Answer: D
The new alphabet series is :
Z Y X W V U T S R Q P O N
M L K J I H G F E D C B A
Canceling every second letter, the above series becomes
Z X V T R P N L J H F D B
The middle letter is N.
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If the letters are there in word BACKLASH each of which is as far away from the beginning of the word, as it is from the beginning of the English alphabet?
Answer: B
Correct answer: Two
The test is position in the word against position in the alphabet. Writing them out: B is 1st and 2nd, A is 2nd and 1st, C is 3rd and 3rd, K is 4th and 11th, L is 5th and 12th, A is 6th and 1st, S is 7th and 19th, H is 8th and 8th.
Two letters match: C and H. The near misses at the start - B and A, each out by one - are what make the word worth checking carefully rather than at a glance.
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