#21 - Solve Maths Equation Problem
Find the value of a by solving the maths equation in the picture below
2(remember bodmas)
#22 - Maths Shopkeeper Problem
A brand new Beats Headphone was on sale at 20% as a promotional offer. By what percent must the headphone price be increased to sell it at the original price again ?
25%.
Suppose a $10 item is reduced by 20%, the price will drop to $8. Now to make it the original price we must add $2 more which is 25% of $8.
#23 - Quick Fire Maths Question
In a science lab, a petri dish hosts a healthy colony of yeast for an experiment. Now every minute, all the yeast cells divide into two. At noon, there was just a single cell of yeast and at 1:22, the Petri dish was half full. Can you calculate when the dish will be full of yeast?
Since at every minute, the cells of yeast are multiplying into two and at 1:22, the dish was half full, it will become full the very next minute i.e. at 1:23.
#24 - Tricky Math Trivia Question
Can you find out which triangle will have a bigger area among the following?
1. A triangle with sides 300, 400 and 500
2. A triangle with sides 300, 400 and 700
1st
The first option will have a bigger area. This is because the second triangle is not possible.
According to the formula:
Side 1^2 + Side 2^2 = Side 3^2
#25 - Simple But Tricky Math Questions
Three cars are driving on a track that forms a perfect circle and is wide enough that multiple cars can pass anytime. The car that is leading in the race right now is driving at 55 MPH and the car that is trailing at the last is going at 45 MPH. The car that is in the middle is somewhere between these two speeds.
Right now, you can assume that there is a distance of x miles between the leading car and the middle car and x miles between the middle car and the last car and also, x is not equal to 0 or 1.
The cars maintain their speed till the leading car catches up with the last car and then every car stops. In this scenario, do you think of any point when the distance between any two pairs will again be x miles i.e. the pairs will be x distance apart at the same time ?
Not Possible
As per the question, the middle car is running right now approximately at 50 MPH. Therefore, with time, the distance between them will keep increasing by x miles every hour for a certain time. After that, it will start decreasing between the leading car and the last car till they meet.
Therefore, you will find no point where the distance between the cars is x miles again.
#26 - Easy Mathematics Trivia
Can you find a number that lies one third of the distance between 1/3 and 2/3?
Let us find a bigger multiple first. Lets multiply the numerator and denominator by 9 in both the numbers.
Now, 1/3 = 9/27
And, 2/3 = 18/27
Clearly, 12/27 lies one third on the distance between the two numbers now.
#27 - Trick Time Riddle
Doctor advised his patient to take a tablet after every fifteen minutes. He gave him five tablets in total.
How much time will he take to have all the five tablets ?
60
The patient will be able to take all the tablets in an hour. This is because the first tablet will start the time.
1st tablet = 0 min
2nd tablet = 15 min
3rd tablet = 30 min
4th tablet = 45 min
5th tablet = 60 min
#28 - Cost Pen Cap Puzzle
A pen along with its cap costs Rs. 5.50. If the cost of pen is Rs. 5, more than the cap, can you calculate the cost of the cap ?
Let the cost of cap = c
Cost of pen = (5 + c)
As per the condition
5.50 = 5 + c + c
2c = 0.5
C = 0.25
Thus the cost of the cap is 25 Paise
#29 - Number Trick Riddle
Sonal asked the class to see if they could find the sum of the first 50 odd numbers. As everyone settled down to their addition, Lavesh ran to her and said, 'The sum is 2,500.' Ms. Sonal thought, 'Lucky guess,' and gave him the task of finding the sum of the first 75 odd numbers. Within 20 seconds, Lavesh was back with the correct answer
How does Lavesh find the sum so quickly and what is the answer ??
The following pattern holds: The sum is equal to n x n, when n is the number of consecutive odd numbers, starting with 1. For example, the sum of the first 3 odd numbers is equal to 3 x 3, or 9; the sum of the first 4 odd numbers is equal to 4 x 4, or 16; the sum of the first 5 odd numbers is equal to 5 x 5, or 25; and so on.
#30 - Equation Puzzle
Replace the 'X' by any mathematical symbol to make the expression equal to 99.
18 X 12 X 2 X 3 = 111
18 x 12 ÷ 2 + 3 = 111