EXERCISE 1 (IT): (TIME-LIMIT 10 min)

Consider a circular version of the English alphabet, with two ‘singular’ point, i.e., the letter which follows ‘z’ is ‘a’ and the letter which precedes ‘a’ is ‘z’. More clearly:

‘….qrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklm…’

The goal is to predict the next value of a series.
 

EXAMPLE: (k7)

a, b, c, d, …

A : ‘c’

B : ‘e’

C : ‘d’

D : ‘x’

E : ‘a’

The correct solution is option ‘B’ and the explanation is obvious in this case.
 
 

EXAMPLE: (k9)

y, y, x, w, w, v, …

A : ‘w’

B : ‘t’

C : ‘v’

D : ‘u’

E : ‘a’

The 'correct' solution in this case is option ‘D’ . Here the explanation is slightly more complicated. The pattern is to put twice a letter, then put once the preceding letter in the alphabet, next put twice the preceding one, then put once the preceding one and so on forever.
 
 
 
 

Now, do it yourself. Remember not to write in this paper but in the answers sheet.
 
 

PROBLEM 1)

a, b, a, b, a, b, …

A : ‘b’

B : ‘a’

C : ‘x’

D : ‘c’

E : ‘z’
 
 

PROBLEM 2)

a, c, b, d, c, e, …

A : ‘e’

B : ‘c’

C : ‘a’

D : ‘d’

E : ‘f’
 
 

PROBLEM 3)

a, c, z, b, y, a, …

A : ‘y’

B : ‘x’

C : ‘a’

D : ‘b’

E : ‘z’
 
 

PROBLEM 4)

a, a, z, z, y, y, …

A : ‘v’

B : ‘y’

C : ‘x’

D : ‘u’

E : ‘a’
 
 

PROBLEM 5)

a, a, z, c, y, e, x, …

A : ‘f’

B : ‘h’

C : ‘x’

D : ‘g’

E : ‘a’
 
 

PROBLEM 6)

a, a, a, b, b, b, c, …

A : ‘y’

B : ‘e’

C : ‘a’

D : ‘b’

E : ‘c’
 
 

PROBLEM 7)

a, z, b, d, c, e, g, f, …

A : ‘h’

B : ‘e’

C : ‘g’

D : ‘i’

E : ‘a’
 
 

PROBLEM 8)

a, d, g, j, …

A : ‘r’

B : ‘p’

C : ‘n’

D : ‘l’

E : ‘m’
 
 

PROBLEM 9)

c, a, b, d, b, c, c, e, c, d, …

A : ‘c’

B : ‘e’

C : ‘f’

D : ‘a’

E : ‘d’
 
 

PROBLEM 10)

a, a, a, a, b, b, b, b, c, …

A : ‘c’

B : ‘a’

C : ‘b’

D : ‘d’

E : ‘z’
 
 

PROBLEM 11)

a, a, c, y, a, w, y, …

A : ‘y’

B : ‘a’

C : ‘r’

D : ‘t’

E : ‘u’
 
 

PROBLEM 12)

a, b, d, e, g, …

A : ‘a’

B : ‘h’

C : ‘b’

D : ‘e’

E : ‘c’
 
 

PROBLEM 13)

a, a, b, b, z, a, b, b, …

A : ‘y’

B : ‘z’

C : ‘a’

D : ‘b’

E : ‘c’
 
 

PROBLEM 14)

z, a, y, x, x, u, w, …

A : ‘a’

B : ‘y’

C : ‘u’

D : ‘w’

E : ‘r’
 
 

PROBLEM 15)

z, a, x, a, v, a, …

A : ‘a’

B : ‘y’

C : ‘v’

D : ‘u’

E : ‘t’
 
 

PROBLEM 16)

a, b, a, z, a, a, y, z, a, …

A : ‘x’

B : ‘a’

C : ‘z’

D : ‘y’

E : ‘b’
 
 

PROBLEM 17)

a, a, a, z, b, b, y, …

A : ‘z’

B : ‘b’

C : ‘a’

D : ‘c’

E : ‘x’
 
 

PROBLEM 18)

a, a, d, a, z, c, a, …

A : ‘a’

B : ‘b’

C : ‘y’

D : ‘c’

E : ‘x’
 
 

PROBLEM 19)

a, z, b, z, z, y, b, y, …

A : ‘a’

B : ‘b’

C : ‘y’

D : ‘z’

E : ‘x’
 
 

PROBLEM 20)

b, a, z, b, a, y, b, a, …

A : ‘x’

B : ‘b’

C : ‘y’

D : ‘z’

E : ‘w’