Rationale: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
The answer: (C)
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
Reasoning: Largest 4 digit number is 999999
After doing 999999 55 we get remainder 44
Hence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955
Ans: (A)
Question: Calculate the largest 6 digit number which is exactly divisible by 55?
Options:
(A) 999955
(B) 999900
(C) 999845
(D) 999790
(E) 999735
Rationale: 7g/30 tells us that g is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.
The answer: (B)
Question: In g is a positive integer smaller than 200 and (14g)/60 is an integer, then g has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
Reasoning: Sum of 17 even numbers = 17 * 18 = 306
Average = 306/17 = 18
Ans: (C)
Question: The average of first 17 even numbers is?
Options:
(A) 10
(B) 11
(C) 18
(D) 20
(E) 24
Rationale: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.
The answer: (A)
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Options:
(A) 63
(B) 25
(C) 40
(D) 65
(E) 98
Rationale: The other parts are equal to xy2 x2y + 2x2y2.
The answer: (B)
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) xy2 x2y + 2x2y2
(B) xy2(1 2x) + x2y(2y 1)
(C) xy2(1 + x) x2y(1 y)
(D) xy[y(1 + x) x(1 y) ]
(E) xy(y x + 2xy)