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Tricks To Solve JEE Main Maths MCQs Within Seconds
Edited By Vishal kumar | Updated on Apr 19, 2024 12:43 PM IST | #JEE Main
We all are familiar with Multiple Choice Questions (MCQs). These are the questions which give us some options, usually 4, out of which one, or sometimes more than one, is correct. The Joint Entrance Examination Main, or JEE Main, has 30 Questions per subject out of which 20 are MCQs with only one correct option. Generally in mathematics for some questions, you will find the options in integer values like chapters trigonometry, sequence and series and others for which you can easily get the answer by using the values given in options directly to solve questions and verify it in less time. In this article, we are going to explain some ticks and trips with the help of examples which you can implement in various questions. Let us understand the trick with the help of some examples.
Example 1
If A + B = 45°, then find the value of 
equals
a)1
b)0
c)2
d)1
Let us first try to understand the question. It means that if A + B = 45°, then the value of 
is always constant, which is equal to one of the options. So, for all combinations of angles A and B whose sum is 45°, the value of (
will always be the same, which is equal to one of the four options.
So, whether (A = 0° and B = 45°) or (A = 1 ° and B = 44°) or (A = 10° and B = 35°), they all will give the same value of (1+tanA)(1+tanB). So, we can easily replace A and B with some convenient values of angles and get the required value of (1+tanA) * (1+tanB). Let us put A = 0° and B = 45°,
= (1+tan0°)(1+tan45°) = (1 + 0)(1 + 1) = 1*2 = 2
So, option C is correct
Example 2
Now we have to select the option that gives the correct sum for all natural number values of n. So, the correct option has to be true for n = 1, 2, 3, …and all other natural number values of n. So, if any option is giving the wrong sum for n = 1, we can be sure that that option is incorrect.
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Let us try to find the options that are incorrect.
For n = 1, the actual sum of the given series is 
= 
Checking what value option A for n = 1: 
. So, it gives the wrong answer for n = 1, and hence it cannot give the correct answer for all values of n. Hence this option is wrong.
Checking what value option B for n = 1: (
. So, it gives the correct answer for n = 1. But this might give wrong answers for higher values of n. So, we will not mark this as correct right now.
Checking what value option C for n = 1: 
So, it gives the correct answer for n = 1. But this might give wrong answers for higher values of n. So, we will not mark this as correct right now.
Checking what value option D for n = 1: 
So, it gives the wrong answer for n = 1, and hence it cannot give the correct answer for all values of n. Hence this option is wrong.
Now both options A and D are eliminated, and one of option B or C is correct. Let us now see which of these two is giving the correct answer for n = 2.
For n = 2, the actual sum of the given series is
Checking what value option B for n = 2: 
. So, it gives the correct answer for n = 2 as well. But this might give wrong answers for higher values of n. So, we will not mark this as correct right now.
Checking what value option C for n = 2: 
. So, it gives the wrong answer for n = 2, and hence it cannot give the correct answer for all values of n. Hence this option is wrong.
Now we know that 3 out of 4 options are wrong, and only option B is left. So, we can safely mark option B as correct.
Example 3
If the value of the determinant given equals ka3b3c3, then the value of k is
a)1
b)0
c)-1
d)2
This question means that the value of the determinant always equals ka3b3c3 for all sets of values of a, b and c. In such questions, we can substitute some values of a, b and c and check to see the values of the determinant and the value of ka3b3c3. Also try to keep values of a, b and c such that ka3b3c3 does not become 0. So we will keep non-zero values of a, b and c. Let us put a = b = c = 1.
The value of the determinant is
which equals 0 (As two columns are the same) and the value of ka3b3c3 is k. So comparing these, we get k = 0.
Know when to use this trick and when not to. Don't use it for questions with more than one right answer or for multiple-choice questions where 'None of these' or 'All of these' is the only correct option.
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Have a question related to JEE Main ?
You can now download the JEECUP (UP Polytechnic) 2025 provisional answer key and your response sheet directly from the official JEECUP portal.
Here's how to get it:
Go to jeecup.admissions.nic.in
Log in using your roll number and password
Click on the link labeled “Questions–Answer Key Matching and Objections for All Group”
Choose your exam group (A to K) and download both the answer key and your response sheet
If you find any incorrect answers, you can challenge them by submitting the required fee before the deadline
The provisional answer key was released on June 16, 2025, and the objection window was open until June 17 (some extended to June 19 in reports). After reviewing objections, the final answer key will be published and the result will follow.
Ayush Madanpotra 19 June,2025
Dear Candidate ,
With your given rank , your chances of getting CSE in top NITs or IIITs are slim , but you do have a good chance of ECE , Mechanical , or Civil engineering in mid-tier NITs - especially if you have a home -state quota . At IIITs , CSE might be difficult , but ECE or IT branches at newer or tier -2 IIITs ( IIIT Nagpur , Agartala , Manipur ) are possible . In GFTIs , getting CSE or ECE is more realistic , with institutes like BIT Mesra being good options .
Participating in JoSAA counselling and carefully listing choices based on closing ranks and quota benefits will improve your chances .
Vasundhra 18 June,2025
Dear Bhindi,
at 600k rank getting in top or mid tier government colleges are tough but you can get good private colleges like KIITS, VITS, Amity etc most have direct admission without consider so JEE ranks. if , you go state government exams, be open to other branches, you can consider drop one year.... I mean doors open
Get your best
Thanks
Best of Luck
Jeet Mukhopadhyay 18 June,2025
Hello aspirant,
Applicants can view the high-weighted chapters for JEE Mains 2026 in mathematics, chemistry, and physics here. Students will be better able to focus on key topics that are tested if they are aware of the JEE Main 2026 chapter-by-chapter weighting.
To know the chapter wise weightage, you can visit our site through following link:
https://engineering.careers360.com/articles/jee-main-chapter-wise-weightage
Thank you
Sajal Trivedi 17 June,2025
Hello Aspirant,
Managing JEE preparation along with a tight college schedule is challenging, but with proper planning, it’s definitely possible. Since your college timings are from 8:00 AM to 6:00 PM, you still have evenings and weekends to prepare effectively. Here’s a balanced daily time table you can follow:
Suggested Daily Time Table (Monday to Saturday):
-
6:00 AM – 7:00 AM → Quick revision of formulas/theory (Before college)
-
6:30 PM – 8:00 PM → College homework + assignments
-
8:00 PM – 10:00 PM → JEE 2nd-year syllabus (Focus on new chapters + PYQs)
-
10:00 PM – 11:00 PM → 1st-year JEE backlog (Start topic by topic)
Sunday (Full Focus on JEE):
-
3–4 hours → Cover difficult topics/concepts
-
2 hours → Attempt full syllabus practice tests or mock tests
-
1 hour → Revise formulas/short notes
Important Chapters for JEE Main 2026 (Based on Weightage & Scoring Potential):
Physics:
-
Mechanics (Work, Power, Energy; Laws of Motion; Rotational Motion)
-
Current Electricity & Magnetism
-
Electrostatics & Capacitance
-
Modern Physics (Photoelectric Effect, Nuclear Physics)
-
Heat & Thermodynamics
Chemistry:
-
Chemical Bonding
-
Thermodynamics (Physical Chemistry)
-
Organic Chemistry (GOC, Hydrocarbons, Alcohols, Aldehydes)
-
Coordination Compounds
-
Chemical Kinetics
-
Biomolecules & Polymers (For quick scoring)
Mathematics:
-
Quadratic Equations & Sequence and Series
-
Matrices & Determinants
-
Limit, Continuity, and Differentiability
-
Integration & Application of Integrals
-
Probability
-
3D Geometry & Vectors
Stay consistent, and you will definitely see progress. All the best for your JEE 2026 preparation.
Sonakshi Kumari 18 June,2025
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