IBM Company Numerical Ability Permutation and Combination

A father of 6 children takes 2 of his children at a time to a circus as often as he can, without taking the same pair of children together more than once. How many times does the father go to the circus?

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IBM Other Question

A set of 7 pens, 9 erasers and 11 sharpeners costs Rs 79 and 2 pens, 5 erasers and 8 sharpeners cost Rs 42. Find the total cost of one sharpeners, one eraser and one pen. asked in 1 FEB 2013 Bangalore IBM drive
1)3,7,10,8,4,12,0,5,5,3,2,5
2)0,1,1,2,0,5,2,2,4,2,2,4,3,7,2
3)10,12,-36,-7,-5,15,19,21
4)4,2,4,8,6,8,16
5)11.5,17.5,35.5,89.5
6)1,1,1,2,4,12,36
7)8,16,3,27,4,8,7,19,2,0,7
8)40,39,37,33,26,15
9)3,5,2,100,47,3,196,1,6,5,
10)507,169,248,62,36,12,168,42,168
11)49,7,98,16,4,48,9,3,36,23,5(here i dnt know,,it is 23 or 25 or 26)
12)8,0.5,16,4,15,0.3,50,4.5,6,0.2,30
13)115,100,86,74,65,60
14)1,3,1,2.5,5,1,4,5,4,,8,7
15)4,3,144,1.5,2,9,5,0.3,2.2
16)0,1,2,.5,2,2,2,2,4,3,2,
17)8,5,9,7,2,2.5,5,1,16,8,6,4
18)13,21,32,49,78,131...