Compare the following quantities: Quantity I: The probability of India winning a match against England is 1 5 \frac{1}{5} 5 1 ​ . What is the minimum ...

Question

Compare the following quantities:

Quantity I: The probability of India winning a match against England is 15\frac{1}{5}. What is the minimum number of matches India should play so that there is at least a 50% chance of winning at least one match?

Quantity II: How many five-digit numbers are possible such that the unit digit is prime and the product of all the digits is also prime?

Quantity III: A and B start walking towards each other at 6 AM with speeds of 5 km/h5 \text{ km/h} and 8 km/h8 \text{ km/h} respectively. They meet, have coffee, and then at 12:04 PM start walking towards their destinations. If A reaches his destination at 9:40 PM, find the time (in minutes) they spent having coffee.

Which of the following is true?

Options

A.

(a) Quantity II < Quantity I \leq Quantity III

B.

(b) Quantity I < Quantity III \leq Quantity II

C.

(c) Quantity III = Quantity II > Quantity I

D.

(d) Quantity II \geq Quantity III = Quantity I

E.

(e) None of these

probabilitynumber theoryspeed and distancetime calculationcomparative analysis

Solve This Question

Get instant feedback with detailed step-by-step solution

Start Solving →