question: A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 12/11
(B) 12/24
(C) 13/16
(D) 18/12
(E) 14/23
answer: Stream of consciousness: One day work of A and B = 1/1
One day work of B and C = 1/2
One day work of C and A = 1/3
2(A + B + C) = 1/1+ 1/2 + 1/3
2(A + B + C) = 11/6
(A + B + C) = 11/12
Number of days required = 12/11 days. The answer is (A).


q: Find a a prime number from the options below.
Options:
(A) 86
(B) 87
(C) 88
(D) 89
(E) 90
a: Stream of consciousness: Clearly, 89 is a prime number. The answer is (D).


question: There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 40
(B) 46
(C) 50
(D) 55
(E) 60
answer: Stream of consciousness: 8C3 [Select any four] -5C3 [Select all hard backs] = 46 The answer is (B).


q: What is the sum of the 1st 5 prime numbers greater than 20?
Options:
(A) 121
(B) 151
(C) 168
(D) 164
(E) 161
a: Stream of consciousness: Required sum = (23 + 29 + 31 + 37 + 41) = 161
Note: 1 is not a prime number The answer is (E).


question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 288
(B) 270
(C) 999
(D) 278
(E) 121
answer: Stream of consciousness: I = (500*9*6)/100 = 270 The answer is (B).


question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 0
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20 The answer is (D).