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Q.

Match the items of column-1 with items of column-2 and choose the correct option.    

 column-1 column-2
(A)For all nN,49n+16n-1is divisible by(1)9
(B)For all nN, 32n+7is divisible by(2)676
(C)For all nN,4n-3n-1is divisible by(3)8
(D)For all nN,33n-26n-1is divisible by(4)64

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a

A-1,B-2,C-3,D-4

b

A-4,B-3,C-2,D-1

c

A-4,B-3,C-1,D-2

d

A-3,B-2,C-4,D-1

answer is C.

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Detailed Solution

detailed_solution_thumbnail

1)  P(n)=49n+16n-1 

P(1)==64

P(n) is divisible by 64

2)  P(n)=32n+7 P(1)=9+7=16 P(2)=34+7=81+7=88

     P(n) is divisible by 8

3)  P(n)=4n-3n-1 P(1)=4-3-1=0 P(2)=16-6-1=9

     P(n) is divisible by 9

4)  33n-26n-1=P(n) P(1)=27-26-1=0 P(2)=729-72-1=676

    P(n)  is divisible by 676

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