CAT Exam Model Paper 1 with solutions for free online practice

Directions (Q.Nos. 98-99) A function is defined as follows

\f ( a _ { 1 } a _ { 2 } a _ { 3 } , ...a_ { n } ) =

a _ { 1 } 2 ^ { n - 1 } + a _ { 2 } 2 ^ { n - 2 } + a _ { 3 } 2 ^ { n - 3 } + ... a _ { n } 2°

The above function is repeated until the value of function reduces to a single digit number

Question : 98 of 100

Marks: +1, -0

f(128) equals

Solution:

(d)

\f ( 128 ) = 1 . 2 ^ { 2 } + 2 .2 ^ { 1 } + 8 . 2 ^ { 0 }

= 4 + 4 + 8 = 16

∴

\f ( 16 ) = 1. 2 ^ { 1 } + 6 . 2 ^ { 0 } = 2 + 6 = 8

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