P = (40% of A) + (65% of B) and Q = (50% of A) + (50% of B), where A is greater than B. In this context, which of the following statements is correct?

Two boys and two girls are to be arranged in a row such that the two girls are not next to each other. How many arrangements are possible?

There are four horizontal and four vertical parallel, equally spaced lines. What is the maximum number of rectangles and squares that can be formed?

The monthly incomes of X and Y are in the ratio of 4:3 and their monthly expenses are in the ratio of 3: 2. However, each saves Rs. 6,000 per month. What is their total monthly income?

The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?

Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal's position if he agreed?

Consider the following: A, B, C, D, E, F, G and H are standing in a row facing north.

B is not neighbor of G.

F is to the immediate right of G and neighbor of E.

G is not at the extreme end.

A is sixth to the left of E.

H is sixth to the right of C.

Which one of the following is correct in respect of the above?

A two-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?

Statement:
A good voice is a natural gift, but continuous practice is necessary to improve and excel in music.

Conclusions:

I. Natural gifts need nurturing and care.
II. Even if one's voice is not good, one can continue practising.

Statement:
Morning walking is good for health.

Conclusions:

1. All healthy people go for morning walks.

2. Morning walking is essential for maintaining good health.

Examine the following statements:

1. All colours are pleasant.

2. Some colours are pleasant.

3. No colour is pleasant.

4. Some colours are not pleasant.

Given that statement 4 is true, what can be definitely concluded?

A theft occurs at 10 PM. The police begin chasing the thief at 1 AM. The thief runs at 42 km/h and the police at 49 km/h. After how many hours of the chase will the police catch the thief?

A thief steals a van at 3:00 AM and drives at 57 km/h. The theft is discovered at 4:00 AM, after which the owner starts chasing at 76 km/h. At what time will the owner catch the thief?

P works three times as fast as Q. P and Q together work four times as fast as R. If P, Q and R work together on a job, in what ratio should they share the earnings?

Five family members had a total age of 80 years three years ago. A baby was added to the family during these three years. The average age of the family today is the same as it was three years ago. Find the baby's present age.