Rationale: The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 women = 36/ 6 × 6 = 1 day.
The answer: (B)
Question: If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in
Options:
(A) 2 days
(B) 1 day
(C) 4 days
(D) 3 days
(E) 2 1/5 days

Reasoning: Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
Ans: (A)
Question: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 30
(B) 38
(C) 41
(D) 29
(E) 31

Rationale: Largest 6 digit number is 999999
After doing 999999 ÷ 88 we get remainder 55
Hence largest 6 digit number exactly divisible by 88 = 999999 - 55 = 999944
The answer: (C)
Question: Find the largest 6 digit number which is exactly divisible by 88?
Options:
(A) 998765
(B) 998907
(C) 999944
(D) 999954
(E) 999990

Reasoning: 360/10 = 36. The difference is 36 - 30 = 6.
Ans: (C)
Question: A certain car uses 12 gallons of gasoline in traveling 360 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

Rationale: Total age of 60 students
(45X 10+15 X 10) = 630
Average = 600/60 = 10 Years
The answer: (C)
Question: In a class, the average age of 45 boys is 10 years and the average of 15 girls is 10 years. what is the average age of the whole class?
Options:
(A) 12 Years
(B) 12.3 Years
(C) 10 Years
(D) 13 Years
(E) 15 Years

Rationale: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
The answer: (B)

Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 5
(D) 6
(E) 8