3 Integers.
Written on 11:32 pm by Vja Students
In how many ways can you choose 3 integers such that their sum and product have the same value and none of the 3 integers are equal?
Answer:
Infinite ways
{-a,0,-a}
3,2,1
-3,-2,-1
Playing game
Written on 12:03 am by Vja Students
There are 6 players A B C D E F.Mr. Chaitu , the coach asked them , who are interested to play the game ?
A= no one is interested to play
B= only one of us is interested to play
C= only 2 of us is interested to play
D = only 3 of us
E = only 4 of us is
F = only 5 of us is...
Now Mr Chaitu knows that those who are interested to play the game always lie/s.So how many of them are interested to play the game or data is inconsistent ?
Answere::
This problem has two solutions
First:When 5 people are interested in playing and those 5 people are A B C D E as A B C D E lies and F is telling truth.
Second:When 6 people are interested in playing and those 6 people are A B C D E F as all of them lies.
4 4's
Written on 11:15 pm by Vja Students
How can u get 280 by using 4 4's n by using any mathematical symbol??
Answer:
[(square root of 4*4)^4 ]+ 4! = 280
Time Plzzz
Written on 11:43 pm by Vja Students
Karthik, Balaji, Chaitu and Dileep visited Sunil on 14th February.
1. The time of each visit was as follows: - Karthik at 8:00 - Balaji at 9:00 - Chaitu at 10:00 - Dileep at 11:00 Each time mentioned above may be either AM or PM.
2. Chaitu did not visit Sunil between Balaji and Dileep.
3. At least one female visited Sunil between Karthik and Balaji.
4. Karthik did not visit Sunil before both Chaitu and Dileep.
Can you tell at what time did they individually visit Sunil?
Answer::Balaji (9:00AM) - Dileep (11:00AM) - Karthik (8:00PM) - Chaitu (10:00PM)
Secret mail
Written on 11:44 pm by Vja Students
The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word. Can you tell which is the code word?
Answer::
The code word is TIE.
If you were told any one character of MOD, then you would not be able to determine whether the number of vowels are one or two. e.g. if you were told M, there are two words with M - AIM with 2 vowels and MOD with 1 vowel.
So you would not be able to say the number of vowels. same arguments can be given for characters O and D. Hence, the word with any one of M, O or D is not a code word i.e. AIM, DUE, OAT and MOD are not the code word.
Thus, TIE is the code word. T : two words - TIE and OAT, both with 2 vowels I : two words - TIE and AIM, both with 2 vowels E : two words - TIE and DUE, both with 2 vowels.
Tea Money
Written on 10:35 pm by Vja Students
A drinks machine offers three selections - Tea, Coffee or Random (Either tea or Coffee) but the machine has been wired up wrongly so that each button does not give what it claims.
If each drink costs 50p, how much minimum money do you have to put into the machine to work out which button gives which selection?
Answer::
You have to put just 50p.
Put 50p and push the button for Random. There are only 2 possibilities. It will give either Tea or Coffee.
· If it gives Tea, then the button named Random is for Tea. The button named Coffee is for Random selection. And the button named Tea is for Coffee.
· If it gives Coffee, then the button named Random is for Coffee. The button named Tea is for Random selection. And the button named Coffee is for Tea.
Thus, you can make out which button is for what by putting just 50p and pressing Random selection first.
Hat & Get out
Written on 12:16 am by Vja Students
Three convicts are brought into the warden's office. He says he can parole one of them and to decide which one he will parole he takes out 5 hats (3 red and 2 white). He stands behind them and places a hat on each one of their heads and puts the other two remaining hats in a drawer. He tells the prisoners they can look at the others hats and if they can tell which hat they have on they will be the one who is paroled. The first man looks at the other two and says, "I don't know." The second man looks at the others hats and says, "I don't know." The third man who is blind says, "Even though I have not the gift of sight I can tell by what the others have said that the color of my hat is..." What color is the blind mans hat and how does he know?
Answer:: The color of blind man's hat is Red.
Weight
Written on 11:25 pm by Vja Students
Everyday in his business a merchant had to weigh amounts from 1 kg to 121 kgs, to the nearest kg. What are the minimum number of different weights required and how heavy should they be?
Answer:
The minimum number is 5 and they should weigh 1, 3, 9, 27 and 81 kgs
Age OR False
Written on 12:57 am by Vja Students
Naim and Manikanth have a conversation.
· Naim says I am certainly not over 40
· Manikanth says I am 38 and you are at least 5 years older than me
· Now Naim says you are at least 39
All the statements by the two are false. How old are they really?
Answer::
Naim is 41 and Manikanth is 37.
Stake
Written on 11:30 pm by Vja Students
Chaitu and Sunil are playing cards for a stake of Rs 100 a game. At the end of the evening, Chaitu has won 3 games and Sunil has won Rs 300. How many games did they play?
For solution visit the blog tomorrow..................
Car
Written on 12:17 am by Vja Students
I bought a car with a peculiar 5 digit numbered license plate which on reversing could still be read.On reversing value is increased by 78633.What is the original number if all the digits are different?
Answer
10968
Water
Written on 11:08 pm by Vja Students
A farmer needs 8 gallons of water. He has only three unmared buckets, two 6 gallon and one 11 gallon bucket.
How can he collect 8 gallons of water using three unmarked buckets? Provide solution with minimal water wastage.
Answer
Here is the solution with 10 gallon water wastage.
| OPERATIONS | 6 | 6 | 11 |
| Fill 6 gallon bucket with water | 6 | 0 | 0 |
| Empty 6 gallon bucket into 11 gallon bucket | 0 | 0 | 6 |
| Fill 6 gallon bucket with water | 6 | 0 | 6 |
| Fill 11 gallon bucket to full using filled 6 gallon bucket. This will leave 1 gallon water in 6 gallon bucket | 1 | 0 | 11 |
| Empty 11 gallon bucket into second 6 gallon bucket. | 1 | 6 | 5 |
| Empty 11 gallon bucket - wastage of 5 gallon water | 1 | 6 | 0 |
| Empty second 6 gallon bucket into 11 gallon bucket | 1 | 0 | 6 |
| Fill seccond 6 gallon bucket with water | 1 | 6 | 6 |
| Fill 11 gallon bucket to full using filled second 6 gallon bucket. This will leave 1 gallon water in second 6 gallon bucket | 1 | 1 | 11 |
| Fill first 6 gallon bucket with 1 gallon water which is in second 6 gallon bucket | 2 | 0 | 11 |
| Empty 11 gallon bucket into second 6 gallon bucket. | 2 | 6 | 5 |
| Empty 11 gallon bucket - wastage of 5 gallon water | 2 | 6 | 0 |
| Fill 11 gallon bucket with water in both the 6 gallon buckets | 0 | 0 | 11 |
Rook
Written on 11:38 pm by Vja Students
Consider a chessboard with a single Rook.A Rook can move any number of square sideways/forward,but not diagonally.What is the minimum number of moves the Rook needs to make in order to pass over all the squares on the chessboard and return to the original position?
Answer
16 moves
Truth
Written on 10:54 pm by Vja Students
Chaitu lies a lot.He tells the truth on only one day in a week.
One day he said:"I lie on Mondays and Tuesdays."
The next day he said :"Today is either Sunday,Saturday or Thursday."
The next day he said :"I lie on Fridays and Wednesdays."
On which day of the week does Chaitu tell the truth?
Answer:
Tuesday
Groups
Written on 11:20 pm by Vja Students
Major Chaitu is forming five-person Special Task Group. The group must contain one leader, two bomb-experts and two soldiers. P, Q and R are possible bomb-experts. R, S and T are possible leaders. U, V and W are possible soldiers. Also, P and R prefers to work with each other in the same team. T prefers to work only if V works. How many different possible Groups, Major Chaitu can make?
Answer
Major Chaitu can make 8 different possible groups
Rain
Written on 10:54 pm by Vja Students
A group of friends went on a holiday to a hill station. It rained for 13 days. But when it rained in the morning, the afternoon was lovely. And when it rained in the afternoon, the day was preceded by clear morning. Altogether there were 11 very nice mornings and 12 very nice afternoons. How many days did their holiday last?
Answer
The holiday last for 18 days
House
Written on 12:07 am by Vja Students
Chaitu lives in "Friends Society" where all the houses are in a row and are numbered sequentially starting from 1. His house number is 109. Karthik lives in the same society. All the house numbers on the left side of Karthik's house add up exactly the same as all the house numbers on the right side of her house. What is the number of Karthik's house? Find the minimal possible answer.
Answer
There are 288 houses and Karthik's house number is 204
Eggs
Written on 12:02 am by Vja Students
A woman took a certain number of eggs to the market and sold some of them. The next day, through the industry of her hens, the number left over had been doubled, and she sold the same number as the previous day. On the third day the new remainder was tripled, and she sold the same number as before. On the fourth day the remainder was quadrupled, and her sales the same as before. On the fifth day what had been left over were quintupled, yet she sold exactly the same as on all the previous occasions and so disposed of her entire stock. What is the smallest number of eggs she could have taken to market the first day, and how many did she sell daily? Note that the answer is not zero.
Answer She took 103 eggs to market on the first day and sold 60 eggs everyday.
Coins
Written on 12:19 am by Vja Students
A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager.
According to his will: First give one coin to manager. 1/5th of the remaining to the elder son. Now give one coin to the manager and 1/5th of the remaining to second son and so on..... After giving coins to 5th son, divided the remaining coins among five daughters equally.
All should get full coins. Find the minimum number of coins he has?
Answer
3121 coins.
Truth
Written on 12:00 am by Vja Students
Shahrukh speaks truth only in the morning and lies in the afternoon, whereas Salman speaks truth only in the afternoon and lies in the morning.
A says that B is Shahrukh.
Is it morning or afternoon and who is A - Shahrukh or Salman?
Answer
It is Afternoon and A can be Salman or Shahrukh
Time
Written on 10:50 pm by Vja Students
Sunil has 3 timepieces in his house - a wall clock, an alarm clock and a wristwatch. The wristwatch is always accurate, whereas the wall clock gains 2 minutes everyday and the alarm clock loses 2 minutes everyday.
At exactly midnight last night, all three watches were showing the same time.
If today is 25 July 2007, then on which date all three clocks will show the same time again?
Answer
All three clocks will show the same time again on midnight between 19 July 2008 and 20 July 2008.
A clock finishes on round in 12*60 i.e. 720 minutes.
If a clock gains 2 minutes everyday, then it would be 720 minutes ahead after 360 days. Thus, after 360 days, it will show the same time again.
Similarly, if a clock loses 2 minutes everyday, then it would be 720 minutes behind after 360 days. Thus, after 360 days, it will show the same time again.
Thus, after 360 days all three clocks will show the same time again i.e. midnight between 19 July 2008 and 20 July 2008.
Balls
Written on 10:23 pm by Vja Students
There are six boxes containing 5, 7, 14, 16, 18, 29 balls of either red or blue in color. Some boxes contain only red balls and others contain only blue.
One sales man sold one box out of them and then he says, "I have the same number of red balls left out as that of blue."
Which box is the one he solds out?
Answer
29
Cube
Written on 11:23 pm by Vja Students
A cube is made of a white material, but the exterior is painted black.
If the cube is cut into 125 smaller cubes of exactly the same size, how many of the cubes will have at least 2 of their sides painted black?
Answer
44
Counterfeit
Written on 11:22 pm by Vja Students
A man went into a fast food restaurant and ate a meal costing Rs. 105, giving the accountant a Rs. 500 note. He kept the change, came back a few minutes later and had some food packed for his girl friend. He gave the accountant a Rs. 100 note and received Rs. 20 in change. Later the bank told the accountant that both the Rs. 500 and the Rs. 100 notes were counterfeit.
How much money did the restaurant lose? Ignore the profit of the food restaurant.
Answer
He lost Rs.600
Apples
Written on 12:01 am by Vja Students
Sunil and Dileep divided a bag of Apples between them.
Dileep said, "It's not fair! You have 3 times as many Apples I have." Sunil said, "OK, I will give you one Apple for each year of your age." Dileep replied, "Still not fair. Now, you have twice as many Apples as I have." "Dear, that's fair enough as I am twice older than you.", said Sunil.
Sunil went to Kitchen to drink water. While Sunil was in Kitchen, Dileep took apples from Sunil's pile equal to Sunil's age.
Who have more apples now?
Answer
At the end, Sunil and Dileep, both have the same number of apples.
Number
Written on 11:27 pm by Vja Students
There are 10 statements written on a piece of paper:
1. At least one of statements 9 and 10 is true.
2. This either is the first true or the first false statement.
3. There are three consecutive statements, which are false.
4. The difference between the numbers of the last true and the first true statement divides the number, that is to be found.
5. The sum of the numbers of the true statements is the number, that is to be found.
6. This is not the last true statement.
7. The number of each true statement divides the number, that is to be found.
8. The number that is to be found is the percentage of true statements.
9. The number of divisors of the number, that is to be found, (apart from 1 and itself) is greater than the sum of the numbers of the true statements.
10. There are no three consecutive true statements.
Find the minimal possible number?
Answer
The number is 420.
If statement 6 is false, it creates a paradox. Hence, Statement 6 must be true.
Consider Statement 2:
- If it is true, it must be the first true statement. Otherwise, it creates a paradox.
- If it is false, it must be the second false statement. Otherwise, it creates a paradox.
In both the cases, Statement 1 is false.
As Statement 1 is false, Statement 9 and Statement 10 both are false i.e. there are three consecutive true statements.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| False | - | - | - | - | True | - | - | False | False |
Let\'s assume that Statement 3 is false i.e. there are no three consecutive false statements. It means that Statement 2 and Statement 8 must be true, else there will be three consecutive false statements.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| False | True | False | - | - | True | - | True | False | False |
Also, at least two of Statements 4, 5 and 7 must be true as there are three consecutive true statements.
According to Statement 8, the number that is to be found is the percentage of true statements. Hence, number is either 50 or 60. Now if Statement 7 is true, then the number of each true statement divides the number, that is to be found. But 7 and 8 do not divide either 50 or 60. Hence, Statement 7 is false which means that Statement 4 and 5 are true. But Statement 5 contradicts the Statement 8. Hence, our assumption that Statement 3 is false is wrong and Statement 3 is true i.e. there are 3 consecutive false statements which means that Statement 8 is false as there is no other possibilities of 3 consecutive false statements.
Also, Statement 7 is true as Statement 6 is not the last true statement.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| False | - | True | - | - | True | True | False | False | False |
According to Statement 7, the number of each true statement divides the number, that is to be found. And according to Statement 5, the sum of the numbers of the true statements is the number, that is to be found. For all possible combinations Statement 5 is false.
There 3 consecutive true statements. Hence, Statement 2 and Statement 4 are true.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| False | True | True | True | False | True | True | False | False | False |
Now, the conditions for the number to be found are:
1. The number is divisible by 5 (Statement 4)
2. The number is divisible by 2, 3, 4, 6, 7 (Statement 7)
3. The number of divisors of the number, that is to be found, (apart from 1 and itself) is not greater than the sum of the numbers of the true statements. (Statement 9)
The minimum possible number is 420.
The divisors of 420, apart from 1 and itself are 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210. There are total of 22 divisors. Also, the sum of the numbers of the true statements is 22 (2+3+4+6+7=22), which satisfies the third condition.
Boxes
Written on 3:07 am by Vja Students
There are 3 colored boxes - Red, Green and Blue. Each box contains 2 envelopes. Each envelope contains money - two of them contain Rs. 25000 each, two of them contain Rs. 15000 each and remaining two contain Rs. 10000 each.
There is one statement written on the cover of each box.
* Red Box: Both, a red box and a blue box contain Rs. 10000 each.
* Green Box: Both, a green box and a red box contain Rs. 25000 each.
* Blue Box: Both, a blue box and a green box contain Rs. 15000 each.
Only one of the above 3 statements is true and the corresponding box contains the maximum amount.
Can you tell which box contains the maximum amount and how much?
Blue box contains the maximum amount Rs. 40000
Ages
Written on 12:07 am by Vja Students
There were two men standing on a street. The one says to the other, "I have 3 daughters, the product of their ages is 36. What are the ages of my daughter?"
The second guy says, "I need more information." So, the first guy says, "The sum of their ages is equal to the address of the house across the street."
The second guy looks at the address and says, "I still need more information." So, the first guy says, "My oldest daughter wears a red dress."
What are the ages of his daughter
Answer
The ages are 9,2,2 years.
First you need to find all the possible sets of three numbers that when multiplied equals 36:
1 1 36
1 2 18
1 3 12
1 4 9
1 6 6
2 2 9
2 3 6
3 3 4
Then you add the numbers together to find the sum
1 1 36 = 38
1 2 18 = 21
1 3 12 = 16
1 4 9 = 14
1 6 6 = 13
2 2 9 = 13
2 3 6 = 11
3 3 4 = 10
Even though we don't know the address the guy knows it. For him to need more information that means that at least two of the sets of numbers has
the same sum. Two of them do, 1 6 6 and 2 2 9.
When the first guy said that his OLDEST daughter wears a red dress that meant that there had to be the oldest. So 1 6 6 can't possibly be the answer. So the answer is 2 2 9
Load
Written on 12:14 am by Vja Students
A mule and a donkey were carrying full sacks on their backs.
The mule started complaining that his load was too heavy. The donkey said to him "Why are you complaining? If you gave me one of your sacks I'd have double what you have and if I give you one of my sacks we'd have an even amount."
How many sacks were each of them carrying? Give the minimal possible answer.
Answer
The mule was carrying 5 sacks and the donkey was carrying 7 sacks.
Fraction
Written on 2:43 am by Vja Students
In a certain year, the number of girls who graduated from KL College OF Engineering was twice the number of boys. If 3/4 of the girls and 5/6 of the boys went to college immediately after graduation, what fraction of the graduates that year went to college immediately after graduation?
Answer
7/9
Game
Written on 1:03 am by Vja Students
In a certain game, if 2 wixsomes are worth 3 changs, and 4 changs are worth 1 plut, then 6 plutes are worth how many wixsomes?
Answer
6 plutes = 16 wixsomes
