q: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 43
(B) 30
(C) 35
(D) 45
(E) 50
a: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46. The answer is (A).

question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
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Options:
(A) 12
(B) 360
(C) 60
(D) 180
(E) 720
answer: Stream of consciousness: 5C3 * 4C2 * 4C2 = 10*6*6 = 360. The answer is (B).

q: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina
Options:
(A) 5/56
(B) 9/56
(C) 15/56
(D) 35/120
(E) 25/56
a: Stream of consciousness: Number of ways of selecting 4 people out of 9 people = 9C4
In the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Nina = 7
Number of ways to form a 4 member team that includes George and excludes Nina = 7C3
Probability = 7C3/9C4 = 35/120 The answer is (D).

question: The average of first 10 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 11
(E) 17
answer: Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11 The answer is (D).

q: A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?
Options:
(A) P and A are cousins
(B) P is the maternsl uncle of A
(C) Q is the maternal grandfather of A
(D) C and P are sisters
(E) none
a: Stream of consciousness: P is the maternsl uncle of A The answer is (B).

q: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 1323
(B) 9261
(C) 2788
(D) 2999
(E) 1722
a:
Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (B).