#1531 - How Many Triangles Challenge
Can you find out the total number of triangles in the given figure?
There are 60 triangles in the given figure.
Can you find out the total number of triangles in the given figure?
There are 60 triangles in the given figure.
A person was killed in a house party. When police arrives, there are six people present in the house who are the friends of the victim. The name of the friends are Rohit, Aman, Nick, Gagan and Randy.
Near the dead body, they find a few numbers written with blood by the victim on floor. The numbers are 8, 5, 4 and 11.
The police arrests one of the friends for the murder. Whom did they arrest and why?
The police arrested Aman. This is because the numbers corresponds to the months.
8 - August
5 - May
4 - April
11 - November
Now taking the initials of the months, Aman is the name the victim was trying to tell.
Katniss and Peeta are liars. They both lie on some specific days.
Katniss lies of Fridays, Saturdays and Sundays. She speaks truth on all other days.
Peeta lies on Tuesdays, Wednesdays and Thursdays. He speaks truth on all other days.
Can you tell that one day of the week when both of them will say "Tomorrow, I will lie."?
Thursday.
Suppose that the person is speaking truth, he/she will have to lie on the next day but if he/she speaks lie by saying "Tomorrow I will lie.", then he/she will have to speak truth on the next day.
Thus, in each of the case, they will have to change their behavior the next day.
Now if you analyze, you will find out that Katniss can only say that statement on Thursday or Sunday. Peeta can say that statement on Monday or Thursday. Thus the only day common is Thursday.
Two guys are playing tennis together and after the full three sets, both of them win. How can this be possible?
This is possible if they were playing together as partners in a doubles match series.
Can you find out the value of x in the following equation?
(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
(2^x)(30^3) = (2^3) (3^3) (4^3) (5^3)
(2^x)(30^3) = (120^3)
(2^x) = (120^3)/ (30^3)
(2^x) = (4^3)
(2^x) = 64
ln(2^x) = ln(64)
x ln(2) = ln(64)
x = ln(64)/ln(2)
x = 6
Thus x = 6.
You order chicken wings at KFC in the boxes of 6, 9 and 20. What is the largest number of wings that you cannot obtain by buying in any combination of the boxes?
43
You know that you can purchase any number of wings that is divisible by 3 but of course it should not be 3 itself. Thus, you should just try to purchase using the combinations of 9 and 6 boxes till the number is divisible by 3. If that number is not divisible by 3, then you have to use a box with 20. If the number that remains is divisible by 3, you are game. But if it is not divisible by 3, you can use a second box of 20. The number now will necessarily be divisible by 3.
Thus the largest number of wings that cannot be bought will come after buying two boxes of 20 and leaving a remainder that is divisible by 3:
3 + 20 + 20 = 43.
Suppose you drive to a picnic spot at 20 mph, then how fast you must go while returning back home on the same route such that your average speed becomes 40 mph?
infinite speed
Let us denote distance with d, time to get there by T, time to get back by t and the speed while travelling back with R.
Now by applying the simple time, distance and speed formula:
d = 20T
T = d/20
d = Rt
t = d/R
As you can see, we have the equations for both T and t now. We can now finally derive and equation for the round trip.
2d = 40(T + t)
2d = 40(d/20 + d/R)
2d = 40d(1/20 + 1/R)
1 = 20(R/20R + 20/20R)
20R = 20(R+20)
R = R + 20
You can clearly see that it is a paradox as to make the average speed 40 mph, you will have to travel back at an infinite speed. The faster you return, the quicker you can make it although your faster speed will offer a lesser impact on the average speed.
If you made the return trip instantly, it would be comparable to traveling double the distance in the same time that was taken on the one way trip.
Thus to reach the average speed of 40 mph, you must return with an infinite speed.
What does the following BrainBat signifies?
ABCDEFGHIJKLMNOPQRSTUVWYZ
QQQQQQQQQQQQQQQQQQQQQQQQQ.
No excuse.
It signifies that there is no X listed.
Before reading ahead, you must know the fact that only one of the person here is telling the truth.
A says that B is lying.
B says that C is lying.
C says both A and B are lying.
Can you find out who is speaking the truth?
B is speaking the truth.
A is lying when he says that B is lying. B is telling the truth when he says that C is lying. C is lying when he says that both A and B are lying since one of them is speaking the truth.