Maths Riddles

Let us assume that the distance between P house and Q house be D.
Upon their first meet, P has traveled 500 yards.
Thus the distance traveled by Q = D - 500.
Calculating D as a multiple of 100 to simplify the equation
=> Speed of P / Speed of Q = 5 / (D - 5)..... (a)

Upon their next meet, P has traveled (D - 500) + 300
Distance traveled by Q = 500 + D - 300
=> Speed of P / Speed of Q = (D - 2) / (D + 2) ..... (b)

When we equate (a) and (b)
5 / (D - 5) = (D - 2) / (D + 2)
D = 12

Therefore, the distance between P and Q house is 1200 Yards.

Event = {(1,5) , (2,4), (3,3), (4,2), (5,1)}
Therefore, P (getting sum = 6) = 5/36

This is a simple problem that can be solved using average.

The average number of legs per patient who lost one leg is 1.

In the remaining patients, half people dont have a single leg and half have 2 legs. Therefore, the average leg per patient is 1 in this case as well.

Therefore, in total, the average number of legs per patient is 1.
Since there are 100 patients, the number of legs = 100.

We know that each topping is round priced to whole-dollar increments.

Now if you see the price of Paprika and Tomatoes i.e. $2, you know that they both must be priced $1 since we cant go into fractions.

Now, you need to apply simple mathematics to find out the price of the remaining ones. For example
Extra Cheese + Paprika = $5
Extra Cheese + $1 = $5
Extra Cheese = $4

Using this way, you will find our the prices are as follows:
Tomatoes $1
Paprika $1
Green chilly $3
Onion $2
Extra Cheese $4
Mushrooms $2
Jalapeno $3
Corn $4

Time of John Watson last missed the train = 8:40 PM - 40 min = 8:00 PM As this information has been given to John Watson 15 minutes after the train has already left, the man gave the information at 8:00 p.m. + 15 min = 8:15 PM

The biggest required number should be: 33^33 (1.2911004e+50)

Manoj delivered 95/100 bottle-box safely.

Let us say S: safe no of glass box delivered, B: no of glass-box broken
30G - 90B = 2400
G + B = 100
Solving the simultaneous equations will give G=95, B=5

In this question, the alphabets represent their equivalent numeric position.
A = 1, B = 2, C = 3 and so on.
Thus,
A + B = c
=> 1 + 2 = 3

D - C = A
=> 4 - 3 = 1

E - B = C
=> 5 - 2 = 3

Which is why,
D + F = 4 + 6 = 10
Since, J is the 10th alphabet,
D + F = J.

As per the asked question, there can be three different cases, which are given below:
1) P and Q are standing in the same row.
Through the question, we already know that Q is the tallest in her row.
=> Q is taller than P.

2) P and Q are standing in the same column.
Through the question, we already know that P is the shortest in her column.
=> Q is taller than P.

3) P and Q are standing in different rows and different columns.
In this case, let us assume that R is the girl standing in P’s column and Q’s row.
Here, Q will be taller than R and R will be taller than P, which implies that Q is taller than P.

Therefore, in any case, Q is taller than P.

15 minutes are left.

One fifth of 75 is 15 and they both add up to 90 minutes, which confirms that the answer is correct.