q: A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 12/28
(B) 48/19
(C) 16/48
(D) 18/48
(E) 12/64
a: Stream of consciousness: One day work of A and B = 1/2
One day work of B and C = 1/6
One day work of C and A = 1/8
2(A + B + C) = 1/2 + 1/6 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days. The answer is (B).

question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K 4 and 5K + 1 is 63, what is the value of K?
Options:
(A) 22 10/11
(B) 15 3/4
(C) 22
(D) 23
(E) 25 3/10
answer: Stream of consciousness: K + 2K +3 + 3K - 4 + 5K +1 = 11K
(11K -1)/4 = 63
11K = 63 * 4 = 252
K = 252 / 11 = 22 10/11 The answer is (A).

q: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000
Options:
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0
a: Stream of consciousness: The term (998-998) makes the whole expression = 0. The answer is (E).

question: If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 10
(B) 25
(C) 50
(D) 75
(E) 100
answer: Stream of consciousness: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 10 positive even integers minus the sum of first 10 positive odd integers will be 10. The answer is (A).

q: Find the odd man out
253, 136, 352, 328, 631, 244
Options:
(A) 328
(B) 136
(C) 352
(D) 631
(E) 531
a: Stream of consciousness: The sum all three digits comes to 10 except 328 The answer is (A).

q: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
(A) 278
(B) 277
(C) 278
(D) 450
(E) 272
a:
Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 1050 = 450 The answer is (D).