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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.
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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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Questions related to JEE Main
Have a question related to JEE Main ?
Hello Aastha,
Yes, it's okay to use your mother's name as per the Aadhaar card, "Mamta Walia," while filling out the JEE application form. However, during document verification or counseling, there could be a discrepancy between the 10th marksheet and Aadhaar card. To avoid future issues, keep an affidavit or a notarized document ready explaining the name difference, or get it corrected in either document if possible.
For more details, you can check out an article by Careers360 whose link is given below:
Link: https://engineering.careers360.com/articles/how-to-fill-jee-main-application-form
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 16 November,2024
Yes, correction window allow the changes photo uploaded along with educational or personal details etc. The scanned image should be of size 4 kb to 30 kb. The changes that are not allowed in correction window is change of exam centre.
Correction window open dates will be announced by NTA on their official website.
For more details about jee mains correction, you can visit career 360 website
Annu Kumari 16 November,2024
Hello,
Honestly, no, it's not possible to appear for the January JEE session as a General candidate and the April JEE session as a PwD candidate.
As per the NTA guidelines, candidates can appear for JEE Main only once in a year with the same category and eligibility criteria. If you've already appeared for the January session as a General candidate, you cannot change your category to PwD for the April session.
Moreover, PwD candidates need to provide valid disability certificates and other supporting documents during the application process, which cannot be changed later.
So, it's essential to choose your category and eligibility criteria carefully before applying for JEE Main.
https://engineering.careers360.com/exams/jee-main
Hope this helps,
Thank you
Tanya Gupta 15 November,2024
Hello aspirant,
The JEE Mains 2025 test will be administered by the National Testing Agency in two sessions in January and April of 2025. Students need to devote more time to their JEE Main preparation as the JEE Main 2025 session 1 exam is just a few months away. It is wise to work efficiently and prepare in an effective manner. NTA JEE is unquestionably one of the hardest tests to pass, however students can achieve exceptionally high scores if they prepare properly.
To know the complete preparation strategy, you can visit our site through following link:
https://engineering.careers360.com/articles/jee-main-preparation-tips
Thank you
Sajal Trivedi 15 November,2024
Students who completed 10+3 can appear for JEE Main and can also be eligible for Delhi University, but their rank and score are not applicable for admission to NITs and CFTIs.
Moreover,Some B.Tech programs at DU do not require a JEE Mains scorecard. For example, you can secure admission to the B. Tech in Information Technology and Mathematical Innovation program by taking the Common University Entrance Test (CUET UG) exam.
explore more
https://engineering.careers360.com/articles/jee-main-exam-pattern
sadafreen356 15 November,2024
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