#231 - Maths Grid Riddle
Solve the maths riddle by replace the question mark with the correct number ?
8
#232 - Maths Logic Problem
A horse and a camel were carrying boxes on their backs. The horse started complaining to the camel that his load is too heavy.
The camel replied 'Why are you complaining? If you gave me one of your boxes I would have double what you have and if I give you one of my boxes we two would have an even load.'
How many boxes do each of the animal (horse & camel) is carrying ?
Horse is carrying 5 boxes and the camel is carrying 7 boxes.
Let's assume that the horse was carrying H boxes and the camel was carrying C boxes.
C + 1 = 2 * (X-1)
C + 1 = 2H - 2
C = 2H - 3
Also,
C - 1 = H + 1
C = H + 2
=>
2H - 3 = H + 2
H = 5
=>
C = 7
#233 - Maths Puzzle Question
Two Twins Eddy and Roberto Baggio were standing back to back and suddenly they started running in opposite direction for 4 kilometers and then turn to left and run for another 3 kilometers.
what is the distance between the Baggio twins when they stop ?
10 kilometers
#235 - Maths Problem Puzzle
If we have four positive numbers a, b, c and d, there are six ways to multiply the pairs i.e. a*b, a*c, a*d, b*d and c*d. If we tell you the result of five of them without telling you which one is the product of which pair as 2, 3, 4, 5 and 6.
What is the remaining product?
2.4
On multiplying all the 6 pairs we get (a*b*c*d)^3.
Assuming the missing product is a*b, then amid the 5 given products we see (a*c)*(b*d)=(a*d)*(b*c)
If we look at the numbers clearly 5 is out of the equation because there is nothing to balance it so the only remaining match is 2*6=3*4, so a*b*c*d=2*6=12.
So the product of all 6 pairs should be 12^3, the product of the given 5 is 720, so the missing one is 12/5=2.4
#236 - Smart Maths Bet Puzzle
Two friends were betting. One said to the other, “The coin will be flipped twenty times and each time the coin lands on head, I will give you $2 and each time it lands on tale, you will give me $3.†After flipping the coin for twenty times not a single penny was exchanged among them.
How many times did the coin land on heads ?
12
Let x be the number of time heads appeared
2x = 3(20-x) --- this is because the amount won and lost was equal
X=12
#237 - Maths Picture Area Puzzle
The below figure consists of a rectangle and the numbers labeled over the top represents the area of that particular shaded region.
Calculate the area of the green region labeled as '?'
The White triangle is similar to the Red triangle
As ratio of areas = ratio of bases when height is same,
Ratio of sides is 2:3
White triangle = 9/4 * Red triangle = 9/2
Thus the Green Region = 5.5 units.
#240 - Horse Wind Puzzle
Emily learnt how to ride a horse recently. Just to test her skills, she rode the horse from her home till a mine which she covered in three minutes and returned back home from the same path only this time she took four minutes. The reason was that while riding away from home, she was supported by wind however while riding back, she was riding against the wind.
How fast do you think she could have rode a mile if there was no wind ?
3 minutes and 25 5/7 seconds.
The most common way how most of people see this problem is adding 3 and four to obtain 7 and they believe it should give a correct average and thus her time should be taken to 3 and half minutes. But if you do like that, you will get to a wrong answer. This is because, the wind has only helped her for three minutes while it has worked against her for four minutes.
If she could ride a mile in three minutes with the wind, it is evident that she could go a mile and 1/3 of a mile in four minutes. Thus two and 1/3 miles in eight minutes will give her actual speed as the wind has helped her as much as it has worked against her.
Thus her actual time for a single mile without wind will be 3 minutes and 25 5/7 seconds.