There is a shortage of tubelights, bulbs and fans in a village - Kharghar. It is found that ? All houses do not have either tubelight or bulb or fan. ? exactly 19% of houses do not have just one of these. ? atleast 67% of houses do not have tubelights. ? atleast 83% of houses do not have bulbs. ? atleast 73% of houses do not have fans. What percentage of houses do not have tubelight, bulb and fan?

What is the remainder left after dividing 1! + 2! + 3! + ? + 100! By 7?

Ignou,

Replace the letters with the correct numbers. T W O X T W O --------- T H R E E

One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid? Note that the pyramid is equilateral and solid.

A blindfolded man is asked to sit in the front of a carrom board. The holes of the board are shut with lids in random order, i.e. any number of all the four holes can be shut or open. Now the man is supposed to touch any two holes at a time and can do the following. ? Open the closed hole. ? Close the open hole. ? Let the hole be as it is. After he has done it, the carrom board is rotated and again brought to some position. The man is again not aware of what are the holes which are open or closed. How many minimum number of turns does the blindfolded man require to either open all the holes or close all the holes? Note that whenever all the holes are either open or close, there will be an alarm so that the blindfolded man will know that he has won.

In the middle of the confounded desert, there is the lost city of "Ash". To reach it, I will have to travel overland by foot from the coast. On a trek like this, each person can only carry enough rations for five days and the farthest we can travel in one day is 30 miles. Also, the city is 120 miles from the starting point. What I am trying to figure out is the fewest number of persons, including myself, that I will need in our Group so that I can reach the city, stay overnight, and then return to the coast without running out of supplies. How many persons (including myself) will I need to accomplish this mission?

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

HP, Instant Systems, Student,

In the town called Alibaug, the following facts are true: ? No two inhabitants have exactly the same number of hairs. ? No inhabitants has exactly 2025 hairs. ? There are more inhabitants than there are hairs on the head of any one inhabitants. What is the largest possible number of the inhabitants of Alibaug?

HCL,

There are four groups of Mangoes, Apples and Bananas as follows: Group I : 1 Mango, 1 Apples and 1 Banana Group II : 1 Mango, 5 Apples and 7 Bananas Group III : 1 Mango, 7 Apples and 10 Bananas Group IV : 9 Mango, 23 Apples and 30 Bananas Group II costs Rs 300 and Group III costs Rs 390. Can you tell how much does Group I and Group IV cost?

Tic-Tac-Toe is being played. One 'X' has been placed in one of the corners. No 'O' has been placed yet. Where does the player that is playing 'O' has to put his first 'O' so that 'X' doesn't win? Assume that both players are very intelligent. Explain your answer

Amit, Bhavin, Himanshu and Rakesh are sitting around a table. ? The Electonics Engineer is sitting to the left of the Mechanical Engineer. ? Amit is sitting opposite to Computer Engineer. ? Himanshu likes to play Computer Games. ? Bhavin is sitting to the right of the Chemical Engineer. Can you figure out everyone's profession?

Five friends with surname Batliwala, Pocketwala, Talawala, Chunawala and Natakwala have their first name and middle name as follow. 1. Four of them have a first and middle name of Paresh. 2. Three of them have a first and middle name of Kamlesh. 3. Two of them have a first and middle name of Naresh. 4. One of them have a first and middle name of Elesh. 5. Pocketwala and Talawala, either both are named Kamlesh or neither is named Kamlesh. 6. Either Batliwala and Pocketwala both are named Naresh or Talawala and Chunawala both are named Naresh. 7. Chunawala and Natakwala are not both named Paresh. Who is named Elesh?

Mr. Wagle goes to work by a bus. One day he falls asleep when the bus still has twice as far to go as it has already gone. Halfway through the trip he wakes up as the bus bounces over some bad potholes. When he finally falls asleep again, the bus still has half the distance to go that it has already travelled. Fortunately, Mr. Wagle wakes up at the end of his trip. What portion of the total trip did Mr. Wagle sleep?

You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same? You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?

There are 70 employees working with BrainVista of which 30 are females. Also, ? 30 employees are married ? 24 employees are above 25 years of age ? 19 married employees are above 25 years, of which 7 are males ? 12 males are above 25 years of age ? 15 males are married. How many unmarried females are there and how many of them are above 25?