AMCAT Logical Reasoning: Coding & Series 2

Question 1

If PENCIL is coded as RGPEKN, how is RUBBER coded? (each letter shifted by +2)

Accepted Answer

TWDDGT

Answer

Each letter shifted +2: R+2=T, U+2=W, B+2=D, B+2=D, E+2=G, R+2=T = TWDDGT.

Question 2

Find the next term in the series: 2, 6, 12, 20, 30, ?

Accepted Answer

42

Answer

Differences: 4, 6, 8, 10, 12. Next term = 30 + 12 = 42.

Question 3

What comes next in the Fibonacci-like series: 1, 1, 2, 3, 5, 8, 13, ?

Accepted Answer

21

Answer

Each term is the sum of the two preceding terms: 8 + 13 = 21.

Question 4

Find the odd one out: 4, 9, 16, 25, 35, 49

Accepted Answer

35

Answer

4=2^2, 9=3^2, 16=4^2, 25=5^2, 49=7^2 are all perfect squares. 35 is not a perfect square.

Question 5

Find the next number: 3, 7, 15, 31, 63, ?

Accepted Answer

127

Answer

Pattern: each term = 2 × previous + 1. 2×63+1 = 127.

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