The average weight of 9 persons is 50 kg. The average weight of the first 5 persons is 45 kg, while that of the last 5 persons is 55 kg. Find the weight of the fifth person.

The average rainfall for the first four days is 0.40 inch. Rainfall on the fifth and sixth days is in the ratio 4 : 3. The average rainfall for all six days is 0.50 inch. Find the rainfall on the fifth day.

There are 13 consecutive two-digit odd numbers. The mean of the first five numbers is 39. What is the mean of all 13 numbers?

Certain 3-digit numbers have the following characteristics: All the three digits are different. The number is divisible by 7. The number obtained by reversing the digits is also divisible by 7. How many such 3-digit numbers are there?

There are three pillars X,Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance, A climbs on X by 6cm but slips down 1cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of them requires 40 chances to reach the top of the pillars, what is height of shortest pillar?

Two walls and ceiling of a room meet at right angles at a point P. A fly is in the air 1m from one wall, 8 m from the other wall and 9 m from point P. How many meters is fly from ceiling?

A milk sample contains 50% water. One-third of this sample is added to an equal quantity of pure milk. What will be the percentage of water in the resulting mixture?

If there is a policy that 1/3rd of a population of a community has migrated every year from one place to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?

In a city, 12% of households earn less than Rs. 30,000 per year, 6% households earn more than Rs. 2,00,000 per year, 22% households earn more than Rs. 1,00,000 per year and 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs. 2,00,000 per year?

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?

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?

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

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?

A + B means A is the son of B.

A-B means A is the wife of B.

What does the expression P+R-Q mean?

Consider the following relationships among members of a family of six persons A, B, C, D, E and F:

1. The number of males equals that of females.

2. A and E are sons of F.

3. D is the mother of two, one boy and one girl.

4. B is the son of A.

5. There is only one married couple in the family at present.

Which one of the following inferences can be drawn from the above?

If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year?

A clock strikes once at 1 o'clock, twice at 2 o'clock and thrice at 3 o'clock, and so on. If it takes 12 seconds to strike at 5 o'clock, what is the time taken by it to strike at 10 o'clock?

A watch loses 2 minutes in every 24 hours while another watch gains 2 minutes in every 24 hours. At a particular instant, the two watches showed an identical time. Which of the following statements is correct if 24 hour clock is followed?

In a certain code, '256' means 'red colour chalk', '589' means 'green colour flower' and '254' means 'white colour chalk'. The digit in the code that indicates 'white' is

“No supporters of Party X who knew Z and supported his campaign strategy agreed to the alliance with Party Y; but some of them had friends in Party Y.”

Which of the following statements must be true?

The outer surface of a 4 cm x 4 cm x 4 cm cube is painted completely in red. It is sliced parallel to the faces to yield sixty four 1 cm x 1 cm x 1 cm small cubes. How many small cubes do not have painted faces?

15 students failed in a class of 52. After removing the names of failed students, a merit order list has been prepared in which the position of Ramesh is 22nd from the top. What is his position from the bottom?

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?

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?

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?