#13 CA Foundation December 2021 Paper Solution | CA Foundation Maths, Stats & LR | Akash Agrawal

Hello everyone,
In this video we discuss the detailed solutions of the ICAI CA Foundation December 2021 Paper Solution of Business Mathematics, Logocal Reasoning and Statistics.
For more details about CA Foundation Maths, Stats & LR video lectures for May 2022/ Nov 2022 onwards contact on 8690369038.
Click the time stamp to jump to the required chapter's solution, or watch it all :-
Business Mathematics:-
Ratio Proportion :- 00:20
Indices :- 08:02
Logarithm :- 17:40
Equations :- 20:12
Linear Inequalities :- 27:51
Permutations & Combinations :- 32:05
Sequences & Series :- 36:12
Set, Relations & Functions :- 44:06
Differential Calculus :- 53:58
Integral Calculus :- 56:58
Time Value of Money :- 58:48
Logical Reasoning:-
Number Series, Coding & Decoding :- 01:14:30
Direction Sense Test :- 01:19:59
Seating Arrangements :- 01:25:41
Blood Relations :- 01:32:08
Statistics:-
Statistical Description of Data :- 01:39:20
Measures of Central Tendency :- 01:50:05
Measures of Dispersion :- 01:59:38
Probability & Random variable :- 02:01:55
Theoretical Distributions :- 02:12:45
Correlation & Regression :- 02:25:24
Index Numbers :- 02:28:46
Do check the following:-
July 2021 Paper solution:- • #11 CA Foundation July...
Jan 2021 Paper solution:- • #10 CA Foundation Janu...
Dec 2021 Mock test paper Series 1:- • #14 MTP DEC 2021 - Ser...
Dec 2021 Mock test paper Series 2:- • #12 MTP DEC 2021 - Ser...
Do watch the following topics for CA Foundation:-
1. Ratio, Proportion, Indices & Logarithm:- • CA Foundation - Chp 1 ...
2. Sequences & Series:- • CA Foundation - Chp 6....
3. Differential Calculus:- • CA Foundation - Differ...
4. Integral Calculus:- • CA Foundation - Integr...
Keep rocking! Let's CrAck it!
#PYQDecember2021 #TheMathsTutor
#CAFoundationMathsPastYearPaper
#ICAIPYQDECEMBER2021

[@vineetparmar8210]

1:46:31 ..the answer would be mode... because if it can be used to calculate & range which are the middle values then it also be used to mean which is also a middle value..& Hence , mode

[@thubz9840]

Pass ho gaya sir😍.. Watched all your Past years and RTP, MTP videos in last month before exam. They helped and gave a lot of confidence. Also watched your video on how to attempt your paper and how to tackle sums in exam. I actually followed it and attempted 64 questions in exams and got 59🥰💪🏼 Thanks a lot sirrr!

[@AkashAgrawalTheMathsTutor]

Woah this is super awesome🔥😍 so proud of you.. Congratulations and all the best for future exams❤️

[@paramtyagi3632]

bro pls help me mujhe sirf lr aata h aur 7 din bche hue h papers me iam from non math background

[@infiniteanime2876]

@@paramtyagi3632 as you asked i am giving you suggestion , first LG 20 marks full cover , maths ch1 , ch 2 , ch3,time value of money ,sequence and series formulas ,stat index no , statistical description , theoretical distrubution if possible you could score around 50

[@infiniteanime2876]

@@paramtyagi3632 bro nov i failed in maths where I got total of 196 and maths 36

[@infiniteanime2876]

This time paka pass hojayange ❤️❤️❤️❤️❤️❤️❤️ you nd me

[@vigneshwaranm423]

Thanks a lot sir .I'm a non math student, watched your videos ,it was very useful. Cleared CA foundation in 1st attempt. 59 in maths 🙏🏽🙏🏽🙏🏽

[@AkashAgrawalTheMathsTutor]

Woah.. This is super awesome Vighneshwaran.. So proud of you.. Congratulations and keep rocking!💖🔥

[@vigneshwaranm423]

@@AkashAgrawalTheMathsTutor thank you sir😊

[@akshaysharma7595]

@@vigneshwaranm423 hello bhai Me bhi non maths background se hu koi tips maths ke Paper clear karne ke liye

[@vigneshwaranm423]

@@akshaysharma7595 Make logical reasoning on your finger tips do all the problems in study material that is more than sufficient for LR.Focus on statistics more than Maths see the weightage and do the chapters accordingly. Time value of money carries 14-17 marks.At last if you have time solve MTPs

[@akshaysharma7595]

@@vigneshwaranm423 thank you bhai for replying

[@gokul7463]

I wish you to continue your wonderful service to the students sir

[@muhammadzaydahmed3218]

Hi sir, Q66 u marked the answer wrong. Frequency of 40- 50 is 11 u missed the 45 in the last. Ans is B. Ur teaching and mentorship videos are truely benefitting us students. Thank you Sir!

[@ayan6701]

What about 0.7

[@prachinagrale157]

Qué 75 ans might be median as the property of median applies to all types of series I.e simple discrete or continuous and the no. Of member is given means it is referring to a. Descrete series

[@a.balasubramani2029]

64 ans is mode because The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis. The less than ogive curve gives cumulative frequency (probability) for x ≤ a.

[@ankitahir2758]

For que 64 : Mode can not be determined using ogive Curve, The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis. The less than ogive curve gives cumulative frequency (probability) for x ≤ a.

[@vinaykumarmathur3636]

Google krke acha copy paste krdiya 😂

[@Abhi-FutureCA]

Sir, ur smile in the whole lecture is a blessing for us

[@itshazzybee]

Ive watched all your videos but i wont watch this🥲 pehle he pata tha maths nhi hoga and vhi hua....muje ye bi nhi pata ta ki question galat te🙂

[@gauravbhilare98]

Bro chill happens everyone has faced the same keep hopes and believe in yourself 💪🏻we all will crack this exam together 💪🏻🔥

[@sagarlohiyacadestination1465]

Bro I got fail nhi maths

[@shashankk_xd]

Bro same here 🥺🥺😖😖😖

[@KunalSingh-fs7pz]

bhai paper yeh hee aaya tha exact ?

[@YOGESH..897]

Task #16 also completed sir 🙇‍♂️❤

[@abhishekkaurav9543]

Thankyou sir because of u i passed the exam in my first attempt and got 50 marks in maths

[@AkashAgrawalTheMathsTutor]

Woah perfect🔥 so proud of you Abhishek❤️🙌🏻

[@divya2729]

Yahi questions aaye the?

[@bluedemon6990]

Thank You Sir You teach Me Full Derivatives Thank You Sir ❤️❤️❤️🙏🙏

[@kaushik22_]

Sir , I think in Q:75 , ans might be 'median' , because in ICAI module page no. 15.11 , deviation is minimum,if taken from median . Pls check sir Thank you 😊

[@AkashAgrawalTheMathsTutor]

Hey but what about the different No of residents in each building. How will you accommodate it in calculation?

[@kaushik22_]

@@AkashAgrawalTheMathsTutor Honestly , I have no idea that , i just want to point out that property of median so that it will be helpful to give answer. My another theory : 😅 If we take buildings as A.B.C.D.E and no of resident as frequency , then bus stop should be set near to the building which has highest frequency (no. of residents) .so In That case , Mode will be appropriate. Please correct if I'm wrong . And in weighted mean , what will be weight and especially Xi in that case . And thank you very much for your concern about us and reply , I didn't expect that too early. Thank you again ❤️ Sorry for late reply 😔

[@rajanjaiswal488]

Attempted 54 question out of which 8to10 are wrong

[@vinaykumarmathur3636]

aapne ek question nhi liya probability ka jisme mutually exclusive event pucha hai exam paper main question no 23 hai wo hi hai 100th question

[@AkashAgrawalTheMathsTutor]

See the Q. 23 in the above. Its already included

[@parthprajapati158]

Hello sir! Maths paper was too good for me.. hoping for nearly 70 marks🙏.. but maybe I have done a silly mistake... I have tick marked the answers in question paper also.. plz tell me should my marks will be cut?? I'm not feel so good... Pls reply sir!🙏🙏 I don't know about that 😥😥

[@KhushiSingh-eb3ip]

How was it?

[@ankitajha2837]

No sir😂 ye ni krna tha December 2021 waale bcche tense hojayenge

[@MohanMishraVlogs]

Ho gaye hain bhai 🥺

[@vinaykumarmathur3636]

qn no 66 (duration: 1:49:01) aapne counting wrong ki hui hai sir class interval 40-49 ki frequency 11 hai aapne 10 count ki and uske hisaab se aapne qn krdiya frequency density 1.1 aayegi . aur exam main wrong option diya hai jbki same question ka option module main 0.9,1.1,0.7 diya hai joki actually main hoga pr question paper main wrong option provide krdiya 0.90,1.00,0.80 which is not correct. and option b correct hai ese pr chronological order wrong hai uska bhi aur institute ne marks bhi nhi provide kiye ispr muje I'm fail because of maths and ab kr rha hu to pata chl rha hai institute ne wrong options bhi provide kiye hai isliye hi marks bhi deduct hue hamare. 🥺🥺

[@AkashAgrawalTheMathsTutor]

Ek baar maine jo updated question upload kiya h woh check karo bhai. Uss hisaab se counting bhi sahi and solution bhi, Anyways all the best!

[@rin_noharaaa]

Task 13 done in advance ✅

[@rajarshisantra6947]

I am so happy to see answers..

[@thecutieurmi4218]

Thank you soo much sir for this video ❤ Your explanation in this video is just amazing ...

[@snakeowl54]

Sir Q.93 2:27:30 me agar mean of Y diya hota aur mean of X dhundna hota to kaise calculate karte? sir please answer.

[@MuruganMurugan-gv6og]

Dear Sir can you provide pdf of this Dec 2021 question paper sir

[@user-cm5dm4ho2i]

You can get dec 21 paper from 3rd party website, search in Google

[@tanzenmaniac1347]

Thankyou for accepting my request sir 🙏

[@_littlekrishna]

I ever seen like u sir..,. What a energetic not only u, even myself because of u and one more thing is that I don't know yours language

[@laxitagarwal287]

last que is the formula in ques 39 i left both these question again sir very very thank you for those mtp solution past year solution that really helps us to know exam pattern

[@muhammadmapari150]

Bhai last question Jo sir ne mention nahi Kiya kya wo time value of money ka tha

[@vipulmangla1668]

Bhai kon sa tha last question

[@Silentkiller_ap7]

Sir Question no. 37 ka answer =11 option (a) hoga na

[@mtfshorts2995]

Sir, Q.96 should be Laspeyres ...not paasches...pls check😊

[@prajwal_kh]

passche take current year qty laspeyre take base year qty

[@Unknownparcelopner]

sir please check 21 question once i think 2 is the answer

[@dorelalyadav5850]

I also think that

[@snehachoudhary7315]

Today's task done 👍

[@lakshayvohra3346]

Sir question 5 pdf mai different hai or aapke video mai different hai little bit 😢

[@JayeshMishra]

Sir same question kaha se meli totally same

[@DikshaAgarwal-mq3es]

It boost my confidence thankyou so much sir

[@sky_ok]

Thanks for this video 📸📸📸 Very very thanks Aakash bhai

[@nafistukdi7998]

Thankyou so much sir for your support 🙏🙏🙏🙏🙏

[@cabhat4523]

Smiling face throughout the video ✨🔥🔥

[@vaibhavsinghtiwari7745]

Sir from your point of view, how many questions are wrong or ambiguous.

[@GamingGame228]

Sir I'm may 2023 aspirant. Now I'm in 11th. Will give 12 boards in Feb,March 2023. When will you launch a maths course for 2023 may. And will you also teach LR, Stats for Ca Foundation?

[@AkashAgrawalTheMathsTutor]

Yes I would be taking for May 2023 as well.. drop a WhatsApp on 8690369038

[@devanshu8994]

Bhaiya jb apke sath solve krte h to sab aasan lgta h pr ptani paper me kya ho jata h

[@divyeshmaheta1264]

Task completed sir 🙇‍♂️

[@ghulamrasool06]

sir can you plz reply me the link for question paper

[@Bloody_Sweet_321]

Sir QNo.64 is wrong.... Ques is Ogives curve can be used to determine Median.

[@anchalasriwastav4526]

Thankyou so much sir for your efforts..

[@AbhikSethi]

sir in quest no.66.. you forgot to take 45 which is in the last row ..so the answer should be B option please check sir

[@AkashAgrawalTheMathsTutor]

Hey actually the last number is 54 instead of 45. Please note

[@AbhikSethi]

@@AkashAgrawalTheMathsTutor thank you sir for clearing the doubt instantly!!

[@vikaschoudhury7932]

4:00 8:00 13:00 22:00 25:00 49:00 1:12:00 2:01:00 2:12:20 2:28:30 2:28:55

[@vaibhavsrivastava5286]

After preparing for jee And bit low marks expected in maths but this Seems very easy

[@shivamagarwal-yl6pd]

gandu paida hua h kya?

[@dream_ca8971]

75 ka maine median kiya kyunki vaha position zaruri hai bus stop ke liye

[@gaurideshmukhkartavyabatch1115]

Done with today task sir

[@ranishinde7965]

Thank you so much sir👍👍👍👍👍👍👍

[@preparationguy5681]

Bhaiya 12th com ke maths pe aur video q nhi aa rahi hai ?

[@KrishnaSharma-pp4ih]

Sir thanks a lot i am a big fan of your teaching style

[@Ashis281]

Really understable videos. Thanx a lot sir you are really great 😀😀😀

[@sakshikachare1794]

Sir please share the paper copy 🙏...share the pdf

[@xyz-vp2yp]

Thank you very much sir 🙏

[@abhijais529]

Sir what we should do now , i dont know about my result its 50-50 chance

[@mohitxd7117]

Sir I scored 65 in this paper....seems very easy Isse hard paper aata hai kya? Like dec 22 mai jhadha se jhadha mai 40 toh score toh karlunga na agar issme 65 keeya issme ?

[@SOHANRAJAWAT]

Q 75 , Group Frequicy median nikal bhi median hi select karenge. so i prefer median correct me plz thanks

[@maheshpatil-fx7tw]

Bahut jaldi aapako join karenge sir yesterday I had told you on call 🙏🙏🙏

[@rambhakt0195]

Task 16 done sir ❤

[@komalkesari2458]

Sir in ogives wala question we can also think if mean=median=mode then we can find all but we cannot find range!!

[@AkashAgrawalTheMathsTutor]

Hey all these are equal only for Normal distribution. Since no such info is there hence we can’t assume them to be equal😊

[@rishavagrawal07]

Sir woh range wale question mein 100 se multiply krna compulsory nhi hota h.. 0.12 answer bhi toh sahi h

[@HEALTHINFO106]

Time value of money tricks se solve kar sakte hai kya ?

[@Chartered_Edu]

Sir direction test Q46: 7kms bhi aa sakta hai naaa....upar se 2km + 1km + 4kms =7 kms

[@morethanom]

🔥 ✨ task complete

[@Bloody_Sweet_321]

QNO.75 ka Ans Median hoga Bcoz "Position"k baare mei baat kiya hai...👍🏼 #NovDec2022

[@arpitsahu5605]

Booklets 58 21:49

[@rathodfaizanharunbhai4930]

Q.44- TIGER

[@ayushbhardwaj25]

Task completed sir 🫡🫡

[@Edit001-l4z]

#Task14 done sir 👍

[@Snap_Sprint]

pass hogye kya

[@Edit001-l4z]

@@Snap_Sprint ha hogya

[@rydinesh6363]

mode can be determined only through Histogram

[@souravpaul1253]

i think sir 64 answer is "mode" because mode is measure in histogram don't know , it's my opinion

[@meetbhanushali7020]

I am facing problem in time value can u provide us with videos of this chapter.

[@kanikabindal5577]

Unacademy Nishant sir search kro you tube pe sare Lectures h bro

[@meetbhanushali7020]

Okk I'll check. Thnks for sharing 👍.

[@TheOne-ix6qc]

Q88 mai, i think, when mean=2.5, z=2 diya hai assume kiya toh cum.freq. 0.9772 jo hai, wo 2+2.5=4.5 ka ayega phir opt d bhi ans ho skta hai

[@payalsharma353]

Many many thanks to u sir such a great lec. Understood every qns pls upload more previous qns and rpt ,mtp for may 22🙏🙏🙏🙏

[@prateekgurjar6043]

Mode cant be determined by using ogive graph

[@madroxop6087]

Sir 5 vala apne question hi galt hi likha h denominator mein 6n+4 hai 6n nhi

[@AkashAgrawalTheMathsTutor]

Maine jo pdf upload kiya h usme mistake h yeh question main. It should be 6^n in denominator. Update kar lo

[@madroxop6087]

@@AkashAgrawalTheMathsTutor ok sir

[@dishakhatri3827]

Please provide telegram link

[@marrikirankumar4273]

In exam they'll same question or they'll change the numbers sir

[@hello-xc5vx]

Thankyou

[@sagardelhi]

task completed sir

[@ahteshamhussain6250]

Sir how to download CA Foundation mathematics previous year question papers ? Please reply me sir

[@kuldeepbajariya1514]

41:12 hidden telent 😅

[@AkashAgrawalTheMathsTutor]

😂

[@devanshijain7116]

😂😂

[@onkarkulkarni24]

Task 14 Done #18Mein1800

[@foryourbetterment]

Mai nhi dekh rha yeh video.. 😶😶

[@urvashiwakode9515]

Same 🥺

[@princepatil7951]

Q bhai

[@princepatil7951]

​@@urvashiwakode9515 qbhai

[@Mr_om_2gang]

Because 😅

[@kArANsiNGh-od8es]

Ha to mt dekh bta q rha h

[@user-ju6hc2vd3c]

Sir 64 will be mean ? ……I am confused kindly guide pls

[@Rashi0612]

75- sir maybe weighted mean

[@caaspirant6174]

sir how many wrong questions were there???

[@jeshroy7534]

Question to ICAI provide nhi kar ta h. To kay ya sbhi questions real h ya assumption hai . Who took the exam tell me. Any student

[@SunitaKumari-ku3lo]

Sir how can I join your ongoing batch right now plzz help me 😭😭

[@bhavyasingal2004]

Thanku so much sir ❤️

[@01hiteshjadhav76]

64. Mean kyuki mean ke liye koi specific graph hi nhi hai

[@lakshyaarya3168]

Is this dec 21 paper ??? Bczzz may MTP 1 same ha pura

[@AshwaniKumar-pm5tj]

Sir how many wrong ques are there?

[@preeshagupta3386]

sir ques 21 smj nhi aaya d = 6 kaise aaya

[@bhavya-ta]

Some questions were different in my paper! Is it true for you all too?

[@thanhaaafathima6143]

@@rehankabir3154 yes i think we have different sets with the same type of question

[@Dolu36]

Task donee

[@Rashi0612]

My view for 44 is tiger

[@F4xibbu]

Sir PlZzzzz 🥺🥺🥺🥺🥺🥺 time value of money ki exercise solve karade vedio me 😢

[@hello-xc5vx]

Will they give grace marks

[@shamsupuzhakkal]

Q no 77 I think answer is 0.12