q: A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event
'the number appearing is even' then find whether G and H are independent ?
Options:
(A) G and H are not independent events.
(B) G and H are independent events.
(C) Only G independent event
(D) Only H independent event
(E) None
a: Stream of consciousness: We know that the sample space is S = {1, 2, 3, 4, 5, 6}
Now G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}
Then P(G) = 2/6 = 1/3
P(H) = 3/6 = 1/2 and P(G H) = 1/6
P(G n H) = P(G). P (H)
G and H are independent events. The answer is (B).

question: Solve below question 2x - 1 = 17
Options:
(A) -8
(B) -9
(C) -5
(D) -4
(E) 9
answer: Stream of consciousness: 1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9 The answer is (E).

q: In marathon Sam was faster than Jack. Denise beat Jim but lost to Jack. Who is the winner?
Options:
(A) Sam
(B) Jack
(C) Denise
(D) Jim
(E) none
a: Stream of consciousness: Denise beat Jim
Jack beat Jim
Sam beat Jack
So Sam is the winner The answer is (A).

question: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Options:
(A) 245000
(B) 367500
(C) 196000
(D) 171500
(E) None of these
answer: Stream of consciousness: Number of females = 156800 10080 = 196000
\ Number of males = 78 196000 = 171500
\ Total population = 196000 + 171500 = 367500 The answer is (B).

q: Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Options:
(A) 3
(B) 5
(C) 4
(D) 7
(E) 2
a: Stream of consciousness: On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted The answer is (D).

q: 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
Options:
(A) 66
(B) 291
(C) 26
(D) 29
(E) 11
a:
Stream of consciousness: If only 12 people shaked their hands, then total hand shakes are 12C212C2 = 66 The answer is (A).