Addanki Express runs between Addanki and Vijayawada, For the up as well as the down journey, the train leaves the starting station at 10:00 PM everyday and reaches the destination at 11:30 PM after three days.
Mr. Sunil once travelled by Addanki Express from Vijayawada to Addanki. How many Addanki Express did he cross during his journey?
Answer
Mr. Sunil crossed 7 Addanki Expresses during his journey
Dr. Rajesh always goes walking to the clinic and takes the same time while going and while coming back. One day he noticed something.
When he left the home, the hour hand and the minute hand were exactly opposite to each other and when he reached the clinic, they were together.
Similarly, when he left the clinic, the hour hand and the minute hand were together and when he reached the home, they were exactly opposite to each other.
How much time does Dr. Rajesh take to reach home from the clinic? Give the minimal possible answer.
Answer
32 minutes 43.6 seconds
Mr. Black, Mr. White and Mr. Grey were chatting in the Yahoo conference. They were wearing a black suit, a white suit and a grey suit, not necessarily in the same order.
Mr. Grey sent message, "We all are wearing suit that are of the same color as our names but none of us is wearing a suit that is the same color as his name."
On that a person wearing the white suit replied, "What difference does that make?"
Can you tell what color suit each of the three persons had on?
Answer
Mr. Grey is wearing Black suit.
Mr. White is wearing Grey suit.
Mr. Black is wearing White suit.
Rajesh says to Jay, "Can you figure out how many Eggs I have in my bucket?" He gives 3 clues to Jay: If the number of Eggs I have
1. If it is a multiple of 5, it is a number between 1 and 19
2. If it is not a multiple of 8, it is a number between 20 and 29
3. If it is not a multiple of 10, it is a number between 30 and 39
How many Eggs does Rajesh have in his bucket?
Answer
32 eggs
Let's apply all 3 condition separately and put all possible numbers together.
First condition says that if multiple of 5, then the number is between 1 and 19. Hence, the possible numbers are (5, 10, 15, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39)
Second condition says that if not a multiple of 8, then the number is between 20 and 29. Hence, the possible numbers are (8, 16, 20, 21, 22, 23, 25, 26, 27, 28, 29, 32)
Third condition says that if not a multiple of 10, then the number is between 30 and 39. Hence, the possible numbers are (10, 20, 31, 32, 33, 34, 35, 36, 37, 38, 39)
Only number 32 is there in all 3 result sets. That means that only number 32 satisfies all three conditions. Hence, Rajesh have 32 eggs in his bucket.
Mrs. Sindhuhad a garage sale. A custmer named Lata bought an old lamp and a rug. She paid a total of Rs 5.25 for everything. The rug cost 25 paise more than the lamp. How much did each cost?
Ans:
The lamp cost Rs 2.50 and the rug cost Rs 2.75
There were N stations on a railroad. After adding X stations 46 additional tickets have to be printed. Find N and X.
Answer
Case I: (46,1)
Case II: (23,2)
there are 2 possible answers.
.
Given any whole number take the sum of the digits, and the product of the digits, and multiply these together to get a new whole number. For example, starting with 6712, the sum of the digits is (6+7+1+2) = 16, and the product of the digits is (6*7*1*2) = 84. The answer in this case is then 84 x 16 = 1344. If we do this again starting from 1344, we get (1+3+4+4) * (1*3*4*4) = 576 And yet again (5+7+6) * (5*7*6) = 3780
At this stage we know what the next answer will be (without working it out) because, as one digit is 0, the product of the digits will be 0, and hence the answer will also be 0. Can you find any numbers to which when we apply the above mentioned rule repeatedly, we never end up at 0?
Ans:There are no such numbers
You have 14 apples. Your Friend Marge takes away 3 and gives you 2. You drop 7 but pick up 4. Bret takes 4 and gives 5. You take one from Marge and give it to Bret in exchange for 3 more. You give those 3 to Marge and she gives you an apple and an orange. Frank comes and takes the apple Marge gave you and gives you a pear. You give the pear to Bret in exchange for an apple. Frank then takes an apple from Marge, gives it to Bret for an orange, gives you the orange for an apple. How many pears do you have?
Answer::
None
Frank gave you a pear in exchange of the apple which Marge gave you. And you gave that pear to Bret in exchange for an apple. All the others exchanges involved apples and/or oranges.
A man is stranded on a desert island. All he has to drink is a 20 litre bottle of sprite.
To conserve his drink he decides that on the first day he will drink one litre the refill the bottle back up with water. On the 2nd day he will drink 2 litre and refill the bottle. On the 3rd day he will drink 3 litre and so on...
By the time all the sprite is gone, how much water has he drunk?
Answer::The man drunk 190litre of water.
A class of 100 students. 24 of them are girls and 32 are not. Which base am I using
Answer
Let the base be X.
Therefore
(X*X + X*0 + 0) = (2*X +4) + (3*X + 2)
X*X = 5*X + 6
X*X - 5*X -6 = 0
(X-6)(X+1) = 0
Therefore base is 6
Scientist decided to do a study on the population growth of rabbits. Inside a controlled environment, 1000 rabbits were placed.
Six months later, there were 1000Z rabbits. At the beginning of the 3rd year, there were roughly 2828Z rabbits, which was 4 times what the scientists placed in there at the beginning of the 1st year.
If Z is a positive variable, how many rabbits would be there at the beginning of the 11th year?
Answer::At the beginning of the 11th year, there would be 1,024,000 rabbits.
My friend collects antique stamps. She purchased two, but found that she needed to raise money urgently. So she sold them for Rs. 8000 each. On one she made 20% and on the other she lost 20%.
How much did she gain or lose in the entire transaction?
Answer:: She lost Rs 666.67
Imagine that you have 26 constants, labeled A through Z. Each constant is assigned a value in the following way: A = 1; the rest of the values equal their position in the alphabet (B corresponds to the second position so it equals 2, C = 3, etc.) raised to the power of the preceding constant value. So, B = 2 ^ (A's value), or B = 2^1 = 2. C = 3^2 = 9. D = 4^9, etc.
Find the exact numerical value to the following equation: (X - A) * (X - B) * (X - C) * ... * (X - Y) * (X - Z).
Answer ::
(X - A) * (X - B) * (X - C) * ... * (X - Y) * (X - Z) equals 0 since (X - X) is zero
What is the remainder left after dividing 1!+2!+3!+.....+100! by 7 ?
Answer::
7! onwards all terms are divisible by 7 as 7 is one of the factor. So there is no remainder left for those terms i.e. remainder left after dividing 7! + 8! + 9! + ... + 100! is 0.
1!+2!+3!+...+100!=
1+2+6+24+120+720+0=873
A man at river has 9 gallon bucket and a 4 gallon bucket.He needs exactly 6 gallons of water.
how can he use both the buckets to get exactly 6 gallons of water?
Note:: He cannot estimate my dumping some of the water from 9 gallons bucket or of 4 gallons bucket.
Answer ::Steps to perform
| steps | 4 gallons(P) | 9 gallons(Q) |
| initialiy | 0 | 0 |
| fill the 9 gallon bucket | 0 | 9 |
| pour 4 gallons from Q to P | 4 | 5 |
| Empty bucket P | 0 | 5 |
| pour 4 gallons from Q to P | 4 | 1 |
| empty bucket p | 0 | 1 |
| pour 1 gallon from Q yo P | 1 | 0 |
| fill the bucket 9 gallon bucket | 1 | 9 |
| pour 3 gallons of water from Q to P | 4 | 6 |
Difference between Valenka's and Angil's age is 2 years and the difference between Anil's and Raman's age is 5 years.
What is the maximum possible value of the sum of the difference in their ages, taken two at a time?
Answer::The maximum possible values of the sum of the difference in their ages -taken two at a time is 14 yrs
In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?
Solution:
0.20
In your sock drawer, you have a ratio of 5 pairs of blue socks, 4 pairs of brown socks, and 6 pairs of black socks. In complete darkness, how many socks would you need to pull out to get a matching pair of the same color?
Answere::4
In a town called Alibaug, following facts are true
1. No two inhabitants have exactly the same number of hair.
2. No two inhabitants have 2025 hairs.
3. There are more inhabitants than there are hairs on head of any one inhabitant.
What is the largest possible number of inhabitants of town Alibaug?
Answere :: 2025
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?
Answere:: Mr.Wagle slept through half his journey.
A blindfolded man is asked to sit in the front of a carom 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 carom 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.
Answere::
The blindfolded man requires 5 turns.
1. Open two adjacent holes.
2. Open two diagonal holes. Now atleast 3 holes are open. If 4th hole is also open, then you are done. If not, the 4th hole is close.
3. Check two diagonal holes.
If one is close, open it and all the holes are open.
If both are close, open any one hole. Now, two holes are open and two are close. The diagonal holes are in the opposite status i.e. in both the diagonals, one hole is open and one is close.
4. Check any two adjacent holes.
If both are open, close both of them. Now, all holes are close.
If both are close, open both of them. Now, all holes are open.
If one is open and one is close, invert them i.e. close the open hole and open the close hole. Now, the diagonal holes are in the same status i.e. two holes in one diagonal are open and in other are close.
5. Check any two diagonal holes.
If both are open, close both of them. Now, all holes are close.
If both are close, open both of them. Now, all holes are open.
Substitute digits for the letters to make the following addition true.
N E V E R
L E A V E
* * * M E
------------------
A L O N E
Answere::
2 1 4 1 9
3 1 5 4 1
* * * 6 1
--------------
5 3 0 2 1
What is the four-digit number in which the first digit is 1/3 of the second, the third is the sum of the first and second, and the last is three times the second?
Answere::The 4 digit number is 1349.
There are 20 people in your applicant pool, including 5 pairs of identical twins. If you hire 5 people randomly, what are the chances you will hire at least 1 pair of identical twins?
Answere::The probability to hire 5 people with at least 1 pair of identical twins is 25.28%
There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner.
What is the probability that they don't collide?
Answer
1/4
Let's mark the corners of the triangle as A,B,C. There are total 8 ways in which ants can move.
1. A->B, B->C, C->A
2. A->B, B->C, C->B
3. A->B, B->A, C->A
4. A->B, B->A, C->B
5. A->C, C->B, B->A
6. A->C, C->B, B->C
7. A->C, C->A, B->A
8. A->C, C->A, B->C
Out of which, there are only two cases under which the ants won't collide :
Two identical pack of cards A and B are shuffled thoroughly. One card is picked from A and shuffled with B. The top card from pack A is turned up. If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?
Answer
52 / 2703
Find the smallest number such that if its rightmost digit is placed at its left end, the new number so formed is precisely 50% larger than the original number.
The answer is 285714
Consider a number as 235, where last digit is sum of first two digits i.e. 2+3=5.
How many such 3 digit numbers are there?
Ans: There are 45 such numbers
How many ways are there of arranging the sixteen black or white pieces of a standard international chess set on the first two rows of the board?
Given that each pawn is identical and each rook, knight and bishop is identical to its pair
Answere::= (16!) / (8! * 2! * 2! * 2!) =6,48,64,800 ways
Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned.
It was found that Guran had ten more sheep than Lakha.
If Arjan gave one-third to Bhuvan, and Bhuvan gave a quarter of what he then held to Guran, who then passed on a fifth of his holding to Lakha, they would all have an equal number of sheep.
How many sheep did each of them possess? Give the minimal possible answer.
Solution:
Arjan, Bhuvan, Guran and Lakha had 90, 50, 55 and 45 sheep respectively
