Ques: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 28 days
(B) 76 days
(C) 16 days
(D) 18 days
(E) 19 days
Ans: (A)
CoT: 8/12 + 6/x = 1
X = 18 days

Ques: John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
Options:
(A) 201
(B) 301
(C) 401
(D) 101
(E) 501
Ans: (B)
CoT: The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1. For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.

Ques: In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 90
(C) 100
(D) 110
(E) 120
Ans: (C)
CoT: Diver = (4*3)+2 = 14
2* Quotient = 14
Quotient = 7
Dividend = (Divisor * Quotient) + Remainder
Dividend = (14 * 7) + 2 = 100

Ques: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Options:
(A) 90% increase
(B) 45% increase
(C) 9% decrease
(D) Same as before
(E) NONE
Ans: (D)
CoT: (30 * 30)/100 = 9% decrease