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Q.

If the natural numbers are divided into groups {1}, {2,3}, {4,5,6}, {7,8,9,10}…… then the sum of 50th group is ……

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a

65, 225

b

56, 255

c

62, 525

d

55, 625

answer is A.

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Detailed Solution

1st term = 1 element 
2nd term = 3 elements
3rd term = 6 elements
i.e  1,2,3,.....50
The last term of 50th group is 1275
First term : 1275-50+1=1226=1226+1227+1228+….+1275 =n2(a+l)=62525

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