NIMCET 2017 Question Paper with solutions

Question : 37 of 120

Marks: +1, -0

The following series is obtained by considering representations of decimal 99 in different number system. The next two numbers in the sequence are 99, 90, 83, 78......................

71, 69
69, 57
67,59
69, 63

Validate

Solution:

Decimal 99 is represented in different number system in the series.
99
Base = 10
= 9x10 + 9
=

(99)_{10}

90
Base = 11
=9x11+0
=

(99)_{10}

83
base = 12
=8x12 + 3
=

(99)_{10}

78
Base = 13
=7x13 + 8
=

(99)_{10}

71
Base = 14
=7x14 + 1
=

(99)_{10}

69
Base = 15
=6x15 + 9
=

(99)_{10}

Hence, (71, 69) is the correct answer.

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