The Most important Gate Aptitude Crash Course I Number System | By Saurabh Thakur

[@hirenthakkar8531]

=====Student Dharma (Day-3)======== Question-1: 1/(root(1)+root(2)) + 1/(root(2) + root(3)) + ... +1/(root(624)+root(625)) Find the sum of the series. Answer:- Here, we know that in pattern like this, Sum = Second Term in the denominator of last term - First term in the denominator of 1st term. Therefore, Sum = root(625) - root(1) = 25 - 1 = 24. ----------------------------------------------------------------------- Question - 2 root(72 + root( 72 + root (72 + .....))) Answer:- Here, we know that in pattern like this, We first check whether the number is product of 2 consecutive number. If Yes then we will assign the sign to the largest number. 72 = 8 * 9 Here, + sign will be assigned to 9 and - sign will be assigned to 8. we will discard the number with negative sign. Thus, Answer = +9. ---------------------------------------------------------------------- Question-3 1/(1*2) + 1/(2*3) + ... + 1/(499*500) Find the sum. Answer:- Here, we know that in pattern like this, intermediate terms get cancel out and final answer is based on the first term and last term. For example here, 1/1 and 1/500 will be left out and all other terms will be canceled out. Sum = Difference between first and last term. Therefore, Sum = 1/1 - 1/500 = 500-1/500 = 499/500. ---------------------------------------------------------------------- Note:- In question 1 and 2, root means to square root. Please do reply if any thing is wrong.😀

[@nganthoibahidam7282]

Explain very well. Keep it up, bro..

[@basudevmahato4869]

1) 24 Sqrt(625)-sqrt(1)= 25-1 =24 Hence 24 is the answer. 2) 9 72=8×9 Plus ka sign larger no ko ie +9 and hence -8. -8 is rejected due to negative sign.. hence 9 is the answer. 3) 499/500 (1/1)-(1/500)=499/500

[@amritmohapatra8335]

37:10 heavy roast🔥

[@harshitmathuriya702]

SD-DAY3 Q1- root625-root1 = 24 Q2- +9,-8 = 9 Q3- 1-1/500 = 499/500

[@sachinbamniya8209]

SD 1) root625-root1=24 2) 72=8*9---> -8, +9 ans is 5 3) 1/1 - 1/500 = 499/500

[@_a.a.r.a.d.h.y.a]

1) √625-√1 = 25-1= 24 Ans 2) 9 (-8*+9) 3) 1/1-1/500 500-1/500 = 499/500

[@gururajr3041]

tqq sir

[@idiosyncratic5468]

1)-- 1/√625-1/√1= 1/25-1 = 24/25 2) --72- ke do consecutive no, 9 & 8 , big digit ko + denge Or 8 ko - .so rt mein -8 nhi ata to usko neglect karenge and ans milega 9 3) 1/1-1/500 = 499/500

[@nikeshnirala2532]

Great

[@prayaggarg4950]

1. 24 2. 9 3. (499/500)

[@deepshikha5492]

1) √625 - √1= 24 2) 72= 8×9 Hence in question given positive sign so, we give positive sign to greater number 9 Ans: +9 3) 1(1-1\500)= 499/500

[@ritikarai8233]

1)24 2)9 3)499/500

[@rishimishra9466]

SD Solution, Q1 root 625 - root 1 (in between terms will cut in down) and we get = 25-1 = 24 ans. Q2 72 is 8x9 for bigger no. we give plus and for smaller minus and take plus term( bcoz ques have positive series ) which is +9 and minus term will neglect (bcoz ye mumbai nhi ja paayenge accha gaane gaaate hain HAHA} SO finally we get root (72+9) = Root 81 which is 9 ans. Q3 In this we split first then see num and deno , in ques demo we have consecutive no. and diff of it we get 1 which in NUmerator SO (take first term - last term ) in between terms will cncl out Finally we have (1/1-1/500) = 499/500 ans.

[@mukulraj2200]

Q1. 24

[@subhajitdebnath2037]

Sir please continue karna please sir .

[@prakhargupta3931]

sir the way you teach its very funny and keeps me attentive to give 200%, thats why iam planing to buy plus subscribtion

[@annimemedicine6275]

2024 ki gate ke liye chalega???

[@shilpaambalkar2151]

Q. 1) Ans:1st rationlise no and get last no =√625-1=25-1=24 Q. 2) Ans:√72+√72....... =9*8=72.. Give given sign bigger factor. (+9, -8) =9 Q. 3) (1/1-1/2) +(1/2-1/3)...... (1/499-1/500) =(1/1-1/500) =499/500 Q. 3)

[@aatishshahale35]

1.24 Explanation -rt625- rt1 = 25 - 1 = 24 2.9 Explanation - roots of 72 = 8 & 9; sign inside the rt =+; greater number = 9 Hence, +9 3. 499/500 Explanation - 1 - 1/500 therefore, 499/500

[@rehanahmed4074]

Questions 1 Answer 24 Questions 2 Answer 9 Questions 3 Answer 499/500

[@devrajsingh5638]

1 = -24/25 , 2 = +9 , 3 = - 499/500

[@IITIAN321]

(a) 24 (b)9 (c) 499/500

[@sumedhshingade3173]

1.24 2.9 3.499/500

[@IITian_aman]

SD Solutions - 1. 24 Explanation - rt625 - rt1 = 25 - 1 = 24 2. 9 Explanation - roots of 72 = 8 & 9; sign inside the rt = +; greater number = 9 Hence, +9 3. 499/500 Explanation - 1 - 1/500 (since all the in between intermediate terms get cancelled) therefore, 499/500

[@ritikpandey4893]

1: 24 2: 9 3:499/500

[@a.kmishra7295]

Good job 👏 👍

[@naveenkumarm1190]

❤️

[@bharath1339]

Sir tell in english sir so. That. Everyone. Can understand

[@imtiyaz1514]

1)24 2)9 3) 499/500