﻿ The number of distinct rational numbers x such that 0 < x < 1 and x = p/q, where p, q ∈ {1, 2, 3, 4, 5, 6}, is: : Kaysons Education

# The Number Of Distinct Rational Numbers x such That 0 < x < 1 And x = p/q, Where p, Q ∈ {1, 2, 3, 4, 5, 6}, Is:

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

3, 5

0 < x < 1 where p/q

Obiviously ≠ q as then p/q = 1 ; Also q > p

Note:

[q = 4 will give x = 1/2 which has been already counted for   p = 1, similarly for = 6].

No. of distinct rational numbers = 11.

#### SIMILAR QUESTIONS

Q1

In how many ways can a party of 4 men and 4 women be seated at a circular table so that no two women are adjacent?

Q2

There are 5 gentlemen and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are together?

Q3

Find the number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated.

Q4

How many integral solutions are there to x + y + z + = 29, when  1, y≥ 2, z ≥ 3 and t ≥ 0?

Q5

How many integral solutions are there to the system of equations

x1 + x2 + x3 + x4 + x5 = 20 and x1 + x2 + x3 = 5 when xk ≥ 0?

Q6

There are n points in a plane of which no three are in a straight line except ‘m’ which are all in a straight line. Then the number of different quadrilaterals, that can be formed with the given points as vertices, is :

Q7

A father with 8 children takes 3 at a time go to the zoological Garden, as often as he can without taking the same 3 children together more than once. The number of times he will go to the garden is :

Q8

The number of divisors a number 38808 can have, excluding 1 and the number itself is :

Q9

In a class tournament when the participants were to play one game with another, two class players fell ill, having played 3 games each (not played between them). If the total number of games played is 84, the number of participants at the beginning was:

Q10

Let be the set of 4-digit numbers a1a2a3a4 where a1 > a2 > a3 > a2 then (A) is equal to :