In a school, there are four subjects. Seventy percent of students study English, seventy five percent of students study Science, eighty five percent of students study Mathematics and eighty percent of students study Spanish.
Can you calculate the percentage of students that study all four subjects?
Only ten percent of students study all the four subjects in school.
Two friends plan to meet. They both own a bike and hops on to their respective bikes and kick start the journey together deciding to meet halfway. Each of them is riding at 6 MPH and their houses are 36 miles apart from each other. One of them has a dog who also begins running at that very instant. The dog keeps running back and forth at 18 MPH from one friend to another till they meet at the half way.
Can you calculate the distance that the dog has traveled in total?
54
This problem is much simple than it appears to be. Just see to the fact that it will take 3 hours for the friends to meet. How? Go figure out with Speed, Distance and Time relations. Now, he dog will be running for three hours in total at 18 MPH. Thus he will cover a total distance of 18 * 3 = 54 miles.
Jim has three close friends at his school: Michael, John and Alice. Two of them play football, two play basketball and two play hockey. The friend who does not play hockey does not play basketball as well. The friend who does not play football, does not play hockey.
Can you identify which sport/s is played by which person?
John and Michael play all the three sports. Alice plays none.
This is after assuming that girls do not play football. If in case, the school had a girl's football league, we would know only that one of the three play no sports at all and the others play all three.
A costume party is going on in a class of a few students. The average of the boys (b) is g and the average age of the girls (g) is b. If the average age of all of them including their class teacher who is 42 years old is b+g.
Can you find the value of b+g?
8
for b in range(1,99):
for g in range(1,99):
sum1=2*b*g+42
sum2=(b+g)*(b+g+1)
if(sum1==sum2):
print(b,g,sum1)
(b,g)=(3,5) => b + g=8
See the given picture. Can you find out the combined weight of Cat, Dog and Rabbit?
Let us use equations to solve this puzzle.
Rabbit + Cat = 10 Kg ---- Eq. 1
Dog + Rabbit = 20 Kg ---- Eq. 2
Cat + Dog = 24 Kg ---- Eq. 3
Now add all the three equations
2(Cat) + 2(Dog) + 2(Rabbit) = 10 + 24 + 24
2 (Cat + Dog + Rabbit) = 54
Cat + Dog + Rabbit = 27.
In a bicycle wheel if there would have been 10 more spokes, the angle between them would have shortened by six degrees. Can you find out the number of spokes in that wheel ?
There are 20 spokes in the given wheel.
360/S = A
360/(S +10) = A - 6
The IPL (Indian Premier League) is about to start. A total of nine teams are participating in the league. As per the game play, each team will have to play two matches with every other team and then the top four teams are to be qualified for the playoffs.
Can you identify the minimum wins required for any team to ensure a place in the playoffs?
Total number of matches that are to be played are:
9C2 * 2
= 9! / (2!7!) * 2
= 8 * 9
= 72
And thus each team will play 16 matches.
Now let us examine the possible cases.
Case 1:
If suppose, Team A, Team B and Team C wins 14 matches each i.e. they lose 1 match each from the other two teams, then the Team D can win only 16 - 3 * 2 = 10 matches.
Case 2:
Now let us suppose if the top four teams win 13 matches each.
Team A: 13 wins and 3 loses from Team B, Team C and Team D.
Team B: 13 wins and 3 loses from Team A, Team C and Team D.
Team C: 13 wins and 3 loses from Team A, Team B and Team D.
Team D: 13 wins and 3 loses from Team A, Team B and Team C.
In this case, the Team E can only win a maximum of 8 matches as Team A, Team B, Team C and Team D will win all the matches played by E.
Case 3:
If suppose the top five team wins 12 matches each.
Team A: 12 wins and 3 loses from Team B, Team C, Team D and Team E.
Team B: 12 wins and 3 loses from Team A, Team C, Team D and Team E.
Team C: 12 wins and 3 loses from Team A, Team B, Team D and Team E.
Team D: 12 wins and 3 loses from Team A, Team B, Team C and Team E.
Team E: 12 wins and 3 loses from Team A, Team B, Team C and Team D.
Now Team E wins 12 matches but it still won't be able to qualify for the playoffs (assuming that it has the lowest run rate).
Therefore from case 2, it can be said that a team must win at least 13 matches to be sure to play in the playoffs.
Can you find out the number of the parking space in which the car is parked?
The parking number is 87. You will know why if you invert the image and then see.
If,
9 * 8 * 7 = 65
8 * 7 * 6 = 50
7 * 6 * 5 = 37
Find
6 * 5 * 4 = ?
26, (5 * 4) + 6 = 26
A devotee visits 9 temples when he visits India. All these nine temples have one thing in common - there are 100 steps in every temple. The devotee puts Re.1 coin after climbing up every step. He does the same while climbing down every step. At each temple, the devotee offers half of his money from his pocket to god. In this way, his pocket becomes empty after his visit to 9th temple.
Can you calculate the total amount he had initially ?
146900
In such cases, we calculate from the last thing. Thus in this case, let us start counting from the 9th temple. Since, he must have offered 100 coins while climbing down stairs, it means that he must have offered Rs. 100 to god on the ninth temple and offered Rs. 100 while climbing up steps. Thus it is clear that he had Rs. 300 in his pocket before climbing the steps of the 9th temple.
Similarly, we will calculate for all the temples backwards.
Before eight temple: (300+100)*2 + 100 = 900
Before seventh temple: (900+100)*2 + 100 = 2100
Before Sixth temple: (2100+100)*2 + 100 = 4300
Before fifth temple: (4300+100)*2 + 100 = 8900
Before fourth temple: (8900+100)*2 + 100 = 18100
Before third temple: (18100+100)*2 + 100 = 36,500
Before second temple: (36500+100)*2 + 100 = 73300
Before first temple: (73300+100)*2 + 100 = 146900
Therefore he had Rs. 146900 initially.