Basic Numeracy/Quantitative Aptitude

Detailed Solution

215. b: Let E7 = Even of getting a multiple of ‘2” on one dice and a multiple of ‘3’ on the other dice.
E7 = { (2,3), (2,6), (4,3), (4,6), (6,3), (3,2), (3,4), (3,6), (6,2), (6,4) }
n(E7) = 11
P(E7) = n(E7) / n(S) = 11/36

216. b: A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following :
(i) Sunday and Monday
(ii) Monday and Tuesday
(iii) Tuesday and Wednesday
(iv) Wednesday and Thursday
(v) Thursday and Friday
(vi) Friday and Saturday
(vii) Saturday and Sunday
For having 53 Sundays in a year, one of the remaining 2 days must be a Sunday. n(S) = 7
n(E) = 2
P(E) = n(E) / n(S) = 2 / 7
For questions 80-82: We have to select ‘3’ balls, from 18 balls (6+4+8)
n(S) = 18C3 = 18/ (3x 15) = (18x17x16) / (3x2x1) = 816

217. c: Let E1 = Event of getting ‘1’ ball is red and ‘2’ are white
Total number of ways = n(E1) = 6C1 x 4C2
= 6/ (1x 5) x 4/ (2x 2)
= 6 x 4 / 2
= 36
P (E1) = n (E1) / n(S) = 36/816 = 3/68

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