UGC NET June 2026 | Maths & Reasoning Important Questions | Paper 1 Preparation

Added: 2026-05-31

[00:00:02]Hello students, I welcome you all on the platform of Global Online. In today's session we'll be discussing the important questions of maths and reasoning section for June 2026 examination. In this I'll be also including all of the PYQs. So without a further ado, let's begin.

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[00:01:58]Without a further due, let's begin with today's session. What is average of the set of prime numbers falling between 12 and 42 is the question. Now simply understand average numbers which are falling between 12 and 42 are how much?

[00:02:12]13 is the prime number, 17 is the prime number, 19, 23, 29, 21, sorry 31, not 21, 37 and 41. Correct? 42 is not a prime number. 12 is also not prime number. These are the prime numbers between 12 and 42. If I take summation of all this, I'll get 210. Correct? And what you know average is nothing but sum of the observations divided by total number of observation. As you know sum is 210 and total number of entities are here eight.

[00:02:47]So divided by eight, you'll get 26.25.

[00:02:51]Option number four is the correct answer. Okay? You should know what are the prime numbers. You should know exactly ki 12 and 42 ke beech mein kitne kitne prime numbers hain then you can solve this particular question. What number would replace question mark in this particular series? 2 9 20 35 54 77 question mark and 135. Okay? So simply understand the series first. If I do 9 minus 2 I'll get seven.

[00:03:17]20 minus 9 11.

[00:03:21]Okay? 35 minus 20 will give me 15. 54 minus 35 will give me 19. 77 minus 54 is 23. So the pattern is plus seven plus 11 plus 15 plus 19 plus 13. Plus seven plus 11 plus 15. Okay? What are these numbers? These are your prime numbers.

[00:03:47]So what is next prime number after 23?

[00:03:49]It It is 20 seven, right? So, what are these 7 11 15 19 and 23? If I see all of them in excluding 15, right?

[00:04:04]These are the prime numbers. So, the difference is not a prime number. The difference is here actually of gap of basically two, you can say.

[00:04:14]A gap of four, see.

[00:04:17]Four.

[00:04:19]Four.

[00:04:20]Four.

[00:04:21]Four. Next difference and the gap will be also of four. So, 23 + 4 will be 27.

[00:04:27]So, you have to minus out this particular value, then you will get 27.

[00:04:32]So, if I add 77 + 27 will give me 104.

[00:04:38]So, the correct answer for this option is 104. If you are not understanding the explanation, simply understand take the difference first. The difference is 7 11 15 19 23. This is not even prime number, not even odd number. Okay, consecutive odd number. Simply understand that this difference has to be not the correct difference. So, first the difference first the difference common difference 4 4 the next upcoming number the difference may or is number maybe 4 car difference here to have a milky ticket 77 + 27 connect about we get this. Moving ahead in how much time an investment of rupees 50,000 at rate of 5% simple interest would be doubled if the interest is added to the principal amount every 10 years.

[00:05:26]Okay, principal is of 50,000.

[00:05:30]Okay, next simple interest we know is what? PRT upon 100.

[00:05:36]Amount given here is 1 lakh rupee.

[00:05:41]Okay, which is the doubled amount because in question it is 50,000 which has got doubled. Doubled hone ke baad hamara amount 1 lakh rupee aa raha hai.

[00:05:50]That's how it is mentioned in the question. Interest needed is rupees 50,000.

[00:05:59]Okay. Now, time is nothing but simple interest into 100 divided by P into R. Solve this, you will get the answer. 50,000 into 100 divided by 50,000 into five. This will give me 20 years.

[00:06:23]But, the question is saying that interest is added after every 10 years.

[00:06:27]After every 10 years, it means interest is 50,000 into five into 10 10 years ka divided by 100. This is equal to 25,000.

[00:06:41]Okay. So, new principle is how much?

[00:06:46]75,000.

[00:06:48]We need 25,000 more.

[00:06:51]We need 25,000 more. So, the time will be equal to 25,000 into 100 divided by 75,000 into five. This will give me 6 2/3 years.

[00:07:08]So, the total is how much then?

[00:07:10]Initially, we know it was 10 years.

[00:07:13]Okay. 10 years and this is 6 2/3 years. So, the total will be 10 + 6 2/3. 10 + 6 2/3 which is equal to total answer.

[00:07:28]Average of eight numbers is 30. Out of which eight number, the average of first two number is 26. And in that of the next three is 28. The sixth number is less than the seventh by three and the eighth by five. Find the eighth number they have told us. Average mentioned here is 30. Total sum is 8 into 30, which is equal to 240. Now, if I find the average of two numbers, this is 26 and the sum is equal to 52.

[00:08:02]Correct? I'm talking about this statement. Please understand, okay? So, here next three numbers average is equal to 28 and sum is equal to 84. Please solve this, you'll understand, okay? Then the sum of first three numbers will be how much then? Which is equal to 52 plus 84, which is equal to 136, which is equal to 136. So, this will give me total value minus the this value 136 will give me 104. Let's say that the sixth number is X, seventh is X plus three, and eighth is X plus five as a difference is mentioned here.

[00:08:43]Okay? For seventh and eighth. So, this will be X plus X plus three plus X plus five is equal to 104. If we solve this, we will get 3X plus 8 is equal to 104. 3X is equal to 96. X value is 96 divided by three, which is equal to 32. We have to find the eighth number. Eighth number is X plus five. 32 plus five, which is giving me 37. Option number A is correct answer. Moving ahead with next question.

[00:09:12]A person has rupees 5,350 in the denomination of rupees 50, 100, and 500.

[00:09:19]Total notes here are 32. Find how many notes of 50, 100, and 500 are there respectively.

[00:09:25]Okay? Simply understand, 13 can notes agar mai 50 se denominate 50 denominations ke sath multiply karu, this will give me 650.

[00:09:37]13 numbers if I multiply by 50 notes, this will give me 650.

[00:09:43]12 notes into 100 if I do plus seven notes into 500 if I do the value, this will give me the total value which is equal to 5,350.

[00:09:56]It means go option wise, simply go option wise, you will understand, okay? So, I have chose option 13, 12, and seven.

[00:10:05]So, 13 into 15, 12 into 100, and seven into 500 if I do, I'll get this particular value which is the required value, okay? So, the correct answer is 13 notes plus 12 notes plus seven notes, this is equal to 32 notes is going to give me 5,350 value. The correct answer is option number three.

[00:10:25]In a coded language, darasi ama, whatever it is this code particular, dogs are social animals. This particular code is donkey are mad animals, and this code donkey and dogs, donkey, and horses. We have to find the code for mad and social. Simply go for common words here, okay? Common words, we have to target mad and social.

[00:10:45]Mad and social. Go for common words, animals animals over here is common word. Are are is a common word, okay?

[00:10:52]Nextly, if I compare these two statements over here, here dogs and dogs is common. Go for a common word then, common code. Common code is d u.

[00:11:03]So, d u is for dogs.

[00:11:06]Okay? Nextly, if I go for donkeys, here is donkey, here it is written donkey.

[00:11:10]Any other word common? No. So, donkey ke liye, what will be the code then? Donkey ke liye, the code will be h u k o k o, okay? Similarly, for if I go now for uh horses, okay? Not for horses, we'll go for what we can say, let's say We cannot actually understand exactly are getting the is it r a or is it a m a because animal is also common here animal is also common so a m a a m a animals getting a b a sector and if I go for some different words over here and and horses there is no such word so this particular question is actually having a glitch here r code on a chai a m a or r a m a c or animal b c m a m a or c r a m a c on a chai a c k to you to choose whole way to get to know you had a doubt to have a in some way to put on the right way to have a mad chai a to mad getting a m a r a and we needed one more for social social getting a s i c a to me r a animal getting a put to you have a glitch you have a answer getting a difficulty at a but you have a mad and social getting a put a c a third answer will be the correct answer so this is the question for homework guys please try to solve this the question is age of sisters of a and b are in the ratio given after 12 years the ratio is becoming 9 is to 8 we have to find the difference of their ages option are 5 years 4 years 6 years and 8 years okay so this is the question for homework please try to answer it in the comment section thank you for joining the session