Clock with Hands....
Written on 11:22 pm by Vja Students
At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?
Answere:: 4:21:49.5
Party
Written on 7:42 am by Vja Students
At the Party:
1. There were 9 men and children.
2. There were 2 more women than children.
3. The number of different man-woman couples possible was 24. Note that if there were 7 men and 5 women, then there would have been 35 man-woman couples possible.
Also, of the three groups - men, women and children - at the party:
4. There were 4 of one group.
5. There were 6 of one group.
6. There were 8 of one group.
Exactly one of the above 6 statements is false.
Can you tell which one is false? Also, how many men, women and children are there at the party
Answere::Statement (4) is false. There are 3 men, 8 women and 6 children.
Money Gets Double . . .
Written on 11:33 pm by Vja Students
A person wanted to withdraw X rupees and Y paise from the bank. But cashier made a mistake and gave him Y rupees and X paise. Neither the person nor the cashier noticed that.
After spending 20 paise, the person counts the money. And to his surprise, he has double the amount he wanted to withdraw.
Find X and Y. (1 Rupee = 100 Paise).
Ans: X = 26 & Y = 53
Telling a ' Lie '.....
Written on 11:50 pm by Vja Students
When Alexander the Great attacked the forces of Porus, an Indian soldier was captured by the Greeks. He had displayed such bravery in battle, however, that the enemy offered to let him choose how he wanted to be killed. They told him, "If you tell a lie, you will put to the sword, and if you tell the truth you will be hanged."
The soldier could make only one statement. He made that statement and went free. What did he say?
Answere :: The soldier said, "You will put me to the sword."
Cubes,Corners,Edges
Written on 11:56 pm by Vja Students
If you take a marker & start from a corner on a cube, what is the maximum number of edges you can trace across if you never trace across the same edge twice, never remove the marker from the cube, & never trace anywhere on the cube, except for the corners & edges?
Answere::9
Houses
Written on 7:26 am by Vja Students
There is a shortage of tube lights, bulbs and fans in a village - Addanki. It is found that
All houses do not have either tube light or bulb or fan.
exactly 19% of houses do not have just one of these.
at least 67% of houses do not have tube lights.
at least 83% of houses do not have bulbs.
at least 73% of houses do not have fans.
What percentage of houses do not have tube light, bulb and fan?
Answere:: 42% houses do not have tubelight, bulb and fan..
Safe
Written on 7:09 pm by Vja Students
There is a safe with a 5 digit number as the key. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11.
Find the number.
65292
Ticks
Written on 11:12 pm by Vja Students
| At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o. |
| |
66 seconds
Who Married Whom
Written on 11:27 pm by Vja Students
Three men - Sam, Cam and Laurie - are married to Carrie, Billy and Tina, but not necessarily in the same order.
Sam's wife and Billy's Husband play Carrie and Tina's husband at bridge. No wife partners her husband and Cam does not play bridge.
Answere::Carrie is wife of Cam
Cows & Grass
Written on 11:11 pm by Vja Students
Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.
How many cows are needed to eat the grass in 96 days?
Answere::20
9 Digit Number
Written on 11:45 pm by Vja Students
A number of 9 digits have the following properties:
1. The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2<=n<=9.
2. Each digit in the number is different i.e. no digits are repeated.
3.The digit 0 does not occur in the number i.e. it is comprised only of the digits 1-9 in some order.
Find the number?
The answer is 381654729.
Medals
Written on 12:26 am by Vja Students
In a sports contest there were m medals awarded on n successive days (n > 1).
1. On the first day 1 medal and 1/7 of the remaining m-1 medals were awarded.
2. On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on.
3. On the nth and last day, the remaining n medals were awarded.
How many days did the contest last, and how many medals were awarded altogether?
Answere::Yes,answere is right 6 days & 36 medals
Candles
Written on 12:01 am by Vja Students
Vipul was studying for his examinations and the lights went off. It was around 1:00 AM. He lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one two hours less. When he finally went to sleep, the thick candle was twice as long as the thin one.
For how long did Vipul study in candle light?
Answer
Vipul studied for 3 hours in candle light
Zeroes
Written on 12:39 am by Vja Students
A certain street has 1000 buildings. A sign-maker is contracted to number the houses from 1 to 1000. How many zeroes will he need?
Answere ::192
Bullets
Written on 12:24 am by Vja Students
Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.
18
Tractors
Written on 12:12 am by Vja Students
There are 3 persons X, Y and Z. On some day, X lent tractors to Y and Z as many as they had. After a month Y gave as many tractors to X and Z as many as they have. After a month Z did the same thing. At the end of this transaction each one of them had 24.
Find the tractors each originally had?
Solution:
Initially X had 39 tractors, Y had 21 tractors and Z had 12 tractors
Platoon
Written on 12:08 am by Vja Students
There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position.
In the mean time the whole platoon has moved ahead by 50m.
How much distance did the last person cover in that time. Assuming that he ran the whole distance with uniform speed
Solution:
The last person covered 120.71 meters.
It is given that the platoon and the last person moved with uniform speed. Also, they both moved for the identical amount of time. Hence, the ratio of the distance they covered - while person moving forward and backword - are equal.
Let's assume that when the last person reached the first person, the platoon moved X meters forward.
Thus, while moving forward the last person moved (50+X) meters whereas the platoon moved X meters.
Similarly, while moving back the last person moved [50-(50-X)] X meters whereas the platoon moved (50-X) meters.
Now, as the ratios are equal,
(50+X)/X = X/(50-X)
(50+X)*(50-X) = X*X
Solving, X=35.355 meters
Thus, total distance covered by the last person
= (50+X) + X
= 2*X + 50
= 2*(35.355) + 50
= 120.71 meters
Odd coin
Written on 1:10 am by Vja Students
There are 9 coins. Out of which one is odd one i.e its weight is less or more than the other 8 coins. How many iterations of weighing are required to find the odd coin and to find whether its weight is less or more?
Solution:
It is always possible to find odd coin in 3 weighings and to tell whether the odd coin is heavier or lighter.
1. Take 8 coins and weigh 4 against 4.
o If both are not equal, goto step 2
o If both are equal, goto step 3
2. One of these 8 coins is the odd one. Name the coins on heavier side of the scale as H1, H2, H3 and H4. Similarly, name the coins on the lighter side of the scale as L1, L2, L3 and L4. Either one of H's is heavier or one of L's is lighter. Weigh (H1, H2, L1) against (H3, H4, X) where X is one coin remaining in initial weighing.
o If both are equal, one of L2, L3, L4 is lighter. Weigh L2 against L3.
§ If both are equal, L4 is the odd coin and is lighter.
§ If L2 is light, L2 is the odd coin and is lighter.
§ If L3 is light, L3 is the odd coin and is lighter.
o If (H1, H2, L1) is heavier side on the scale, either H1 or H2 is heavier. Weight H1 against H2
§ If both are equal, there is some error.
§ If H1 is heavy, H1 is the odd coin and is heavier.
§ If H2 is heavy, H2 is the odd coin and is heavier.
o If (H3, H4, X) is heavier side on the scale, either H3 or H4 is heavier or L1 is lighter. Weight H3 against H4
§ If both are equal, L1 is the odd coin and is lighter.
§ If H3 is heavy, H3 is the odd coin and is heavier.
§ If H4 is heavy, H4 is the odd coin and is heavier.
3. The remaining coin X is the odd one. Weigh X against the anyone coin used in initial weighing.
o If both are equal, there is some error.
o If X is heavy, X is the odd coin and is heavier.
o If X is light, X is the odd coin and is lighter.
Rope Bridge
Written on 8:00 am by Vja Students
Four people need to cross a rope bridge to get back to their camp at night. Unfortunately, they only have one flashlight and it only has enough light left for seventeen minutes. The bridge is too dangerous to cross without a flashlight, and it’s only strong enough to support two people at any given time. Each of the people walks at a different speed. One can cross the bridge in 1 minute, another in 2 minutes, the third in 5 minutes, and the fourth one takes 10 minutes to cross. How do the people make it across in 17 minutes?
Scroll down for Solution
Solution:
First
Person of speed 1 min come back
Time =1min
The person of speed 5 min cross the bridge with person of 10 min speed
Time=10 min
Person of speed 2 min come back
Time=2min
The person of speed 1 min cross the bridge with person of 2min speed time=2min
Finally all of them crossed the rope bridge
Total time =2+1+10+2+2=17
