Before we get into it, are you aware of all the changes made to the examination system for JEE Main and NEET UG exams? Here is a quick recap to get you going.

**Important changes made in JEE & NEET 2019 by the Ministry of HRD**

- The CBSE will not be conducting the exams anymore. The Government of India has established the National Testing Agency (NTA) to conduct exams like the JEE (Main) and NEET (UG).
- Henceforth, JEE (Main) and NEET (UG) exams will be held twice a year in January and April, for the same admission year
- JEE Main and NEET will be 100% online.

To understand the changes and the impact of these changes, please watch our veteran, Dr. Ashwani Sharma who has over 22 years of experience of coaching JEE & NEET aspirants.

## What will you find in the article?

Since the exam season is upon us, we decided to look into our database to find out what our students are actually struggling with during their exam preparation. Soon enough we stumbled upon some difficult questions in JEE that our students were not able to solve on our platform. Read on to find the top 5 difficult questions in Physics, Chemistry, and Mathematics for JEE.

## Mathematics

### Question 1

#### Topic: Permutation & Combination

There are three routes: air, rail, and road for going from Chennai to Hyderabad. But from Hyderabad to Vikarabad, there are two routes, rail, and road. The number of routes from Chennai to Vikarabad via Hyderabad is?

Get the solution here

### Question 2

#### Topic: Sets & relations

Let x and y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). then n((X∩Y) n(X∩Y) is equal to?

Get the solution here

### Question 3

#### Topic: Vector Algebra

The vector c is perpendicular to the vectors a=(2,−3,1), a=(2,−3,1), b=(1,−2,3), b=(1,−2,3) and satisfies the condition c⋅(iˆ+2jˆ−7kˆ)=10.c⋅ (i^+2j^−7k^)=10. Then, the vector cc is equal to

Get the solution here

### Question 4

#### Topic: Sequence & series

The first term of a sequence is 1 and the (n+1)(n+1)th term is obtained by adding (n+1)(n+1)to then nth term for all natural number n,n, the 6th term of the sequence is

Get the solution here

### Question 5

#### Topic: Vector & 3D Geometry

Let ĉ be a unit vector coplanar with a=î −ĵ +2k̂ a=i^−j^+2k^ and b=2î −ĵ +k̂ b=2i^−j^+k^ such that ĉ is perpendicular to a. If P be the projection of c^ along b, where P=11√kP=11k then find k.

Get the solution here

## Chemistry

### Question 1

#### Topic: General Organic Chemistry

The IUPAC name of the compound is?

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### Question 2

#### Topic: S block Elements

Which of the following sodium halides has the highest melting point?

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### Question 3

#### Topic: Periodic Table and Classification of Elements

The element californium belongs to the family of?

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### Question 4

#### Topic: States of Matter

If the executed volume is taken as zero, compressibility factor Z is?

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### Question 5

#### Topic: States of Matter

A halogen atom combines with another non-metal to form a compound with slight metallic lustre. The halogen atom is?

Get the solution here

### Preparing for JEE 2019?

## Physics

### Question 1

#### Topic: Ray Optics

When sunlight is scattered by atmospheric atoms and molecules, the amount of scattering of light of wavelength 440 nm is AA. The amount of scattering for the light of wavelength 660 nm is approximate.

Get the solution here

### Question 2

#### Topic: Ray Optics

A short-sighted person cannot see clearly beyond 2 m. The focal length of the concave lens to correct his eye to normal vision should be?

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### Question 3

#### Topic: Atom & Nuclei

The rate at which a blackbody emits radiation at a temperature t is proportional to:

Get the solution here

### Question 4

#### Topic: Current Electricity

The current through a lamp decreases by 1%. What is the percentage change in power of the lamp?

Get the solution here

### Question 5

#### Topic: Ray Optics

Two coherent sources of intensity ratio 9: 4 produce interference. what is the ratio between maxima and minima in the interference pattern produced.

Get the solution here

We would love to hear the list of questions you had trouble with, list them down in the comment section below. Meanwhile, in this last leg of your exam preparation for JEE, we urge you to join the **‘Elite Programme for JEE 2019’.** A series of Free Live Problem Solving Classes where all JEE Main problems will be solved live by our teachers at 8:30 pm daily. The program starts from Dec 3rd and and ends at Jan 4th, join now.

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