41⟩ From a book, a number of pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
We cannot say so because there can be any number of pages missing and whose sum adds up to 9808
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54 Logical Questions And Answers
42⟩ Using the ciphers 1 up to 9, three numbers (of three ciphers each) can be formed, such that the second number is twice the first number, and the third number is three times the first number. Which are these three numbers?
It can be any numbers
2 4 6
1 2 3
3 9 27
and so on.
43⟩ There were 2 doors. one lead to heaven and other to hell there were two doorkeepers one outside each door. one told lie and other spoke truth. what will be one question that czn be asked to both of them so that one comes to know that which door leads to heaven?
We should ask one of them
"What should other man tell if i ask which is the door to heaven?"
Go through the door which he hasn't said
Explanation:
Let two door be A and B
Assume A is the door to heven
Case 1:
Question asked to the lier
The other man always tell the truth so he pick A.But the lier will say B
Case 2:
Question asked to the man who tells truth
The lier will pick B.And the true man tell the truth.
So both will pick B.So go through A the other door
"Question not upto the standard put some complicated one"
44⟩ The legendary king Midas possessed a huge amount of gold. He hid this treasure carefully in a building consisting of a number of rooms. In each room there were a number of boxes; this number was equal to the number of rooms in the building. Each box contained a number of golden coins that equaled the number of boxes per room. When the king died, one box was given to the royal barber. The remainder of the coins had to be divided fairly between his six sons. Is a fair division possible in all situations?
1. 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 clock
Answer: 60 Seconds
2. A hotel has 10 story. Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.
Answer: 5th floor.
3. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other?
Answer: 4 times faster than the other train.
4. A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke?
Answer: 9 cigarettes.
5. There is one room with 3-bulbs inside and corresponding switches are outside the room. You make any combination of three switches and enter room only once. How do you find out the respective switches for these three bulbs.
Answer: I will switch on the first switch and wait for 5 minutes and then i will turn it off. Then switch on the second switch and then go to the room.
If the bulb is on then its the second switch.
If the bulb is off and cool then its the third switch.
If the bulb is off and hot (as had switched on the first switch for 5 min) then its the first switch
45⟩ In a Bus there are 7 people.Each one carry 7 bags. Each bag contains 7 cat.Each cat carry 7 small cats. How many legs are there in the bus?
7*2(people) + 7*7*7*4(cats) + 7*7*7*7*4(small cats) = 10990
46⟩ The poor have it, the rich want it, but if you eat it you will die. What is this?
The poor have nothing, the rich wants to do nothing, but if u eat nothing, you will die.
47⟩ The numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 must be put in the depicted triangle, in such a way that the sums of the numbers on each side are equal. How should the numbers be arranged in the triangle?
Sum of all the numbers from 1 to 9 is 45 if we divide 45 by 3 we get 15. So the triangle consists of 3 sides so all the three sides should have a sum of 15. So we have
Side 1 : 9+1+5
Side 2 : 3+4+8
Side 3 : 7+6+2.
48⟩ Of all the numbers whose literal representations in capital letters consists only of straight line segments (for example, FIVE), only one number has a value equal to the number of segments used to write it. Which number has this property?
A number having this property is 20 (TWENTY)
T has 3 line segments.
W has 4 line segments.
E has 4 line segments.
N has 3 line segments.
T has 3 line segments.
Y has 3 line segments.
So the total number of line segments are 3+4+4+3+3+3= 20 = TWENTY( the number itself)
49⟩ William lives in a street with house-numbers 8 up to and including 100. Lisa wants to know at which number William lives. She asks him "Is your number larger than 50?" William answers, but lies. Upon this Lisa asks "Is your number a multiple of 4?" William answers, but lies again. Then Lisa asks "Is your number a square?" William answers truthfully. Upon this Lisa says "I know your number if you tell me whether the first digit is a 3." William answers, but now we don't know whether he lies or speaks the truth. Thereupon Lisa says at which number she thinks William lives, but (of course) she is wrong. What is Williams real house-number?
Note that Lisa does not know that William sometimes lies. Lisa reasons as if William speaks the truth. Because Lisa says after her third question, that she knows his number if he tells her whether the first digit is a 3, we can conclude that after her first three questions, Lisa still needs to choose between two numbers, one of which starts with a 3. A number that starts with a 3, must in this case be smaller than 50, so William's (lied) answer to Lisa's first question was "No". Now there are four possibilities: nummer is a multiple of 4 : (16, 36 number is a square) : 8, 12, 20, and more nummer is not a square nummer is not a multiple of 4 : (9, 25, 49 number is a square) : 10, 11, 13, and more nummer is not a square Only the combination "number is a multiple of 4" and "number is a square" results in two numbers, of which one starts with a 3. William's (lied) answer to Lisa's second question therefore was "Yes", and William's (true) answer to Lisa's third question was also "Yes". In reality, William's number is larger than 50, not a multiple of 4, and a square. Of the squares larger than 50 and at most 100 (these are 64, 81, and 100), this only holds for 81. Conclusion: William's real house-number is 81.
50⟩ Below is an equation that is not correct yet. By adding a number of plus signs and minus signs between the ciphers on the left side (without changes the order of the ciphers), the equation can be made correct. 123456789 = 100 How many different ways are there to make the equation correct?
There are 11 different ways:
123+45-67+8-9=100
123+4-5+67-89=100
123-45-67+89=100
123-4-5-6-7+8-9=100
12+3+4+5-6-7+89=100
12+3-4+5+67+8+9=100
12-3-4+5-6+7+89=100
1+23-4+56+7+8+9=100
1+23-4+5+6+78-9=100
1+2+34-5+67-8+9=100
1+2+3-4+5+6+78+9=100
Remark: if it is not only allowed to put plus signs and minus signs between the ciphers, but also in front of the first 1, then there is a twelfth possibility:
-1+2-3+4+5+6+78+9=100..
51⟩ Below are a number of statements 1. Precisely one of these statements is untrue. 2. Precisely two of these statements are untrue. 3. Precisely three of these statements are untrue. 4. Precisely four of these statements are untrue. 5. Precisely five of these statements are untrue. 6. Precisely six of these statements are untrue. 7. Precisely seven of these statements are untrue. 8. Precisely eight of these statements are untrue. 9. Precisely nine of these statements are untrue. 10. Precisely ten of these statements are untrue. Which of these statements is true?
The ten statements all contradict each other. So there can be at most one statement true. Now suppose there is no statement true. That would mean that statement 10 indeed would be true, which results in a contradiction. This means that exactly nine statements must be untrue, and thus only statement 9 is true..
52⟩ If john sells paddles and jim says anyone who sells paddles in weird, if joes says only weird people sells paddles, then did joes say jim was weird?
yes
53⟩ A tourist is traveling to a village where he meets a man at the junction. there he meets a man and asks him a question what would that be? there are 2 villages 1 is true the other is false..?
ask one people that are you from true village if it will say yes than ask are you saying truth if vilagger say yes then it is frome the fake village othervise it is from truth village
54⟩ A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometre stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
500 bananas. First camel takes 3000 bananas to point A at 250 km apart from plantation in 3 trips and we will be having 1750 bananas at point A.from there to point B 250 km apart from point A and we will have 1000 bananas at point B. Still we havw to go 500 km and having 1000 bananas in hand so we can deliver 500 bananas in market.
