Tuesday, 7 March 2017

UGC-NET January 2017 Paper-2 Discrete Maths Questions Solved

Q:: 4 How many multiples of 6 are there between the following pairs of numbers? 0 and 100 – 6 and 34

(1)16 and 6                                                       (2)  17 and 6 

(3)  17 and 7                                                     (4)  16 and 7

Answer:: (1)

Explanation::

Numbers divisible by 6 between 0 and 100 are::

6,12,18,...96 So there are 16 such numbers as nth term of A.P. is given by Tn = a+(n-1)d

In our example a = 6, d = 6, Tn=96 

96 = 6 + (n-1)*6 => n = 16

Similarly between -6 and 34 numbers divisible by 6 are::

0,6,12,...30   So there are 6 such numbers as this also form an A.P. 

a=0 , d=6, tn=30

30 = 0+(n-1)*6 => n=6

So correct option is (1) 






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