Can you find out a way through which you can make five squares out of the given figure by moving just six match sticks?
Many of you might have tried making five different squares but that was not asked in the question. See the figure for the explanation.
There was a blind beggar living on the footpath of a street. Suddenly on day, the beggars brother died. What was the relation of the blind beggar with the person who died ?
PS: Brother is not the answer.
The blind beggar was the sister of the person who died.
There is a dressing drawer which contains the following colored socks in pairs: Purple, Magenta, Crimson, White, Yellow and Turquoise. Now, the socks are paired and each pair is together in the matching set. There is no light in the room and you open the drawer and pick up a pair. Then, without noticing any color, you keep them back and pick up again.
Can you calculate the probability that the pair of socks was Yellow both the times?
Whenever two events are independent, we calculate the probability of both occurring as:
P(A and B) = P(A) * P(B)
P(Yellow) = 1/6
P(Yellow and Yellow) = P(Yellow) * P(Yellow)
= 1/6*1/6
= 1/36
You are camping with your friends. You have a flashlight for any emergency and have brought 8 batteries along with you. Your brother calls to tell you that four of those batteries are already dead.
Your flashlight requires two working batteries to run. What is the least number of pairs you will need to test to guarantee that you can get the flashlight on ?
7
You must first divide the batteries in three groups: a group of two batteries and two groups of three batteries each. Now you have made sure that one of the group has two working batteries.
Now both the groups with three batteries can form three possible combinations and the group with two batteries has just one combination.
3 + 3 + 1 = 7.
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.
What does the following BrainBat signifies?
ABCDEFGHIJKLMNOPQRSTUVWYZ
QQQQQQQQQQQQQQQQQQQQQQQQQ.
No excuse.
It signifies that there is no X listed.
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.
There is a box. The area of its top is 240 square units, the area of the front is 300 square units and the area of the end is 180 square units.
Can you calculate the dimensions of this box with the given data?
P = 20 units
Q = 12 units
R = 15 units
Explaining
If you have started looking for a complex formula, we inform you that this requires just the simple algebra equations.
Let the three sides of the box be P, Q and R.
Now we know the area of rectangle is l* b.
P * Q = 240
P * R = 300
Q * R = 180
Let us multiply these three equations:
(P*Q) (P*R) (R*S) = 240 * 300 * 180
P^2 * Q ^2 * R^2 = 12960000
(P*Q*R)^2 = 12960000
P*Q*R = 3600
Now we know that P*Q = 240
Thus R = 3600/240 = 15.
Similarly putting and solving for other variables, we get
P = 20 units
Q = 12 units
R = 15 units
You can see a blue figure and then, there are seven different figures that seems to be identical to the blue one however not all are. Can you find the identical ones to the blue figure?
B, D and E are identical to the blue figure.