In a mathematical quiz, you are asked the following question:
Use three 9's in a mathematical expression without dividing or multiplying in order to form the number one.
Can you answer the question?
The answer is 9^(9-9)
A generous owner of a company decided to give a bonus of $45 to every man and $60 to every woman on his birthday. But only one ninth of the men and one twelfth of woman were present to take the bonus.
Can you calculate the amount of money the owner spent if there were 3552 employees ?
17,760
Let us assume that there are x male employees.
No. of female employees will be (3553 – x)
One ninth of men = x/9 who received $45
And one twelfth of the women = (3553 – x) /12 who received $60
Thus total received = (45 * (x / 9)) + (60 * (3552 - x) / 12)
= 5 * 3552
= $17,760
There are four people in a house. A fireman, an athlete, an old woman and a drunk guy. The house catches fire and before the fact is known, it is too late. All they know is that the entire house is in flames and it will collapse exactly after twelve minutes. Now they can move out of the house but for that, they will have to pass the hallway which is entirely blazing with flames. Thus to move, one must carry a fire extinguisher to keep the flames away. Seeking the burnt wooden floor, only two person can run through that hallway at one time. But for others to go, one must return back with the fire extinguisher. The fireman, is trained for such tasks and can run through the hallway in a minute. The athlete can make it in a couple of minutes. The old woman can run slowly and will cover the hallway in four minutes. The drunk guy will take five minutes to run through it. If all of them can make it through the hallway in twelve minutes, all of them will be saved. When two move together, they will run with the speed of the slower one.
How will all four of them manage to run to safety?
1. Fireman and the fit guy will move first which will take 2 minutes.
2. Fireman will return back with fire extinguisher, taking 1 minutes.
3. Drunk guy will move with old woman taking 5 minutes.
4. The fit guy will return taking 2 minutes.
5. Both the fit guy and fireman will move taking 2 minutes.
2 + 1 + 5 + 2 + 2 = 12 minutes.
A train leaves from point A for point B at 80 mph. After half an hour, another train leaves from point B for point A at 60 mph.
Which of the trains will be further from point A when they meet ?
When the trains meet, they will be approximately be equally distant from point A. Of course if you get into precise details, the train that left from point A will be closer to A by its own length as they are coming from different directions.
Five students - Adam, Cabe, Justin, Michael and Vince appeared for a competitive exam. There were total five questions asked from them from which were multiple choice questions (a, b or c) and three were true/false questions. Their answers are given as follows:
Name I II III IV V
Cabe c b True True False
Adam c c True True True
Justin a c False True True
Michael b a True True False
Vince a b True False True
Also, no two students got the same number of correct answers. Can you tell the correct answer? Also, what are their individual score?
The correct answers are b, a, True, False and False. Also, the scores are Justin (0), Adam (1), Cabe (2), Vince (3) and Michael (4).
Since no two students were able to answer the exact number of correct answers, there can be only two possibilities
1) 1 + 2 +3 + 4 + 5 = 15
2) 0 + 1 + 2 + 3 + 4 = 10
Now let us determine the maximum number of correct answers possible through the answers they gave.
For Question I = 2 (b or c)
For Question II = 2 (b or c)
For Question III = 4 (True)
For Question IV = 4 (True)
For Question V = 3 (True)
Now we know that the maximum number of correct answers possible are 15 (2+2+4+4+3) according to which, Adam would have given all correct answers as only he answered True for questions III, IV and V. But then Cabe and Justin would have given exactly 3 correct answers. And also, Michael and Vince would have given 2 correct answers. Therefore none of them got all the five correct answers. Thus this assumption is wrong.
The total number of correct answers therefore are 10 (0+1+2+3+4). Both Questions III and IV cannot be False as in that case, the number of correct answers would not be 10. So the student who got all wrong answers cannot be Cabe, Adam and Michael.
Suppose if Vince got all wrong, then Cabe, Justin and Michael each would have at least 2 correct answers. Thus, Adam would have to be the student with only one correct answer and in that case, the correct answers for questions I and II would be a and a respectively. But that is not possible as then the total number of correct answers would be 1 (a) + 1 (a) + 1 (False) + 4 (True) + 2 (Flase) = 9.
Thus it is Justin who has given all wrong answers. The correct answers are b, a, True, False and False. Also, the scores are Justin (0), Adam (1), Cabe (2), Vince (3) and Michael (4).
What does the below rebus maths means ?
Quadratic, quad(4 wheeler + rat + i (eye) + C)
In a modern art gallery, an artist has numerous modern art paintings created by him. He hangs different painting on the space provided to him periodically. When the clock hit 11 am, he hung the painting number 30. When it struck 4 pm, he hung the painting number 240 and when it struck 7:30 pm, he hung painting number 315.
Can you determine, which painting number will he hang when the time is 9:20 pm ?
He will hang painting number 200 at that time. Every time he hangs the painting, the number of it corresponds with the angle between the minute and hour hand of the clocks.
An exterior architect is asked by a builder to plant seven trees in a manner that there are exactly six rows of trees in a straight line and each row has three trees in particular.
How will he do it?
He will plant three trees as the vertices of an equilateral triangle. Now imagine an equilateral triangle. Three more trees will be planted on the center of each of the side of the triangle. The remaining one tree will be planted at the centroid of the hypothetical equilateral triangle.
Two natural numbers are having a sum less than 100 and are both greater than one.
Ned knows the product of the numbers and Shawn knows the sum of numbers.
The following conversation takes place between them:
Ned: 'I am not aware of those numbers.'
Shawn: 'I knew you wouldn't be. I am not aware myself.'
Ned: 'Now I know them!'
Shawn: 'Now I know them, too!'
What are the two numbers?
Product is 52 and sum is 17. The numbers are 4 and 13.
There is a non vegetarian restaurant which sells chicken in orders of 6, 9 and 20.
Calculate the maximum number of chicken pieces you cannot order from that restaurant ?
43
If you analyze, then you will find that all the 6 numbers divisible by 3 can be ordered. Why? Because you can break them own as the sum of 6 and 9.
Now after 26, all the numbers that are divisible by 3 if subtracted by 40 can be obtained.
After 46, all the numbers will fit into one of the above categories and thus all such numbers can be obtained. But 43 will be last number that will not fall into one of the above categories.
44 = 20 + 6 * 4, 45 = 6 * 6 + 9