This video demonstrates solving work and time problems using systematic approaches: calculating individual work rates, finding LCM of completion times for total work, and determining remaining work after partial collaboration. For example, when A completes work in 77 days, B is 75% less efficient (25% of A's rate), and C is 40% more efficient than B, the ratio of efficiencies is 4:3:4.5. Working together for 30 days, the remaining work is completed by A in 59 days. The key principle is that work done equals efficiency multiplied by time, and total work is calculated as LCM of individual completion times.
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Apex Bank Maths Expected 2026 Paper 28 | Important Questions | Tamal SirAdded:
Hi, good afternoon everybody. All good.
Yeah. AEX Bank expected paper number 28.
Right. Expected paper number 28. Good afternoon Paris.
Yeah. So, yeah. class right so AEX bank expected paper number 28 27 all clear sir okay good so now let's come to okay for basics duration download sorry download. So these are the courses that are available. Okay regarding any course or any study material any PDF PP. So call on this number. Call on this number.
Okay. Yeah. Okay. So Telegram channel.
channel.
Okay.
Homework back to back schedule classes meetings Very easy.
Don't worry.
Don't worry. Okay. So, these are the two telegram channels. Everyone is requested to join. Okay.
Yeah. So, let's move on to the first question of the day. Yeah. First question of the day is this.
Yes. Okay.
Right.
Yeah. Good afternoon.
Sanjibji.
Okay. Hello. D answer. D answer.
Okay. Great. Lovely.
Good afternoon, Sushmita.
Yeah, all good. Was running busy with the schedule.
Triangle is 48 cm equal triangle.
What is equal triangle? Equal triangle triangle side.
So if this is a this will be also a this will be also a correct triangle.
meeting all timeline.
Sorry, sorry.
A2 channel.
This is mine.
affairs quality history.
Don't worry.
Very good.
We know 3= 48, right? 3M of triangle is equal to 3 A, right? 3 a 48= 1 16 16 3 is 48 right so area is equal to roo<unk> over 3x 4 a² correct correct roo<unk> over 3x 4 a² right so roo<unk> of 3x 4 into 16 into 16 correct so 4 4 right so Kimanjabar 64 <unk>3 that is option number D for Dangistic is the right answer D for dangistic is the right answer right for is the right answer okay download very very important okay Yeah.
Yeah. Next question.
Yeah. Next question.
59 days I say. Okay, very good answer.
59 59. 59 option A. 59 option A. 59 option A. Option A.
Okay.
say uh a A can complete a piece of work in 77 days or B is 75% less efficient than A.
C is 40% more efficient than B. If ABC work together for 30 days, A will complete the remaining work in remaining work. A will complete the remaining work remaining week.
Ei A B C A B C R D B D B D B D B D B D B D B D B D B D B is 75% 75% mean 3x4 75% means 3x by 4 right 7% 3x 7% less efficient% less efficient less effic 45 40% 2x C is 40% more efficient than B. C is more efficient. C is more efficient.
Right?
C is 40% more efficient than B.
I got the ratio of A, B, and C. I got the ratio of A, B and C.
If B and C work together for 30 days, A will complete the remaining work in A can complete a piece of work in 77 days.
Total work. Total work. Total work will be 20 into 77. That will be how much?
1540. That will be how much? 1540 will be the total work.
Say 1540 will be the total work. So total B and C work together for 30 days. B together come B 20 into 30 20 into 30 right 360 total 1520 A alone efficiency efficiency efficiency A will complete the remaining work. So remaining work 180 divided by efficiency of A is 20. So 59 so 59. So A will complete the remaining work in 59 days. That is option number A. A for a A for Amin is the right answer. Correct. A for a A for Amin is the right answer. Correct. Say good afternoon.
Good afternoon.
All good. Yeah. All good. I hope to see clear.
Okay, now let's move to the next question of the day. Next question of the day is this question.
Question 199 1990. So 90. Okay.
Okay.
Yeah.
If 20% of a number is added to 96, then the result of the same number then the if 20% of a number is added to 96 then the result is the same number. 75% of the same number. The 75% 75% means 3x 4 3x 4 of the same number. So it should be divisible by 3 and 5.
20% of a number. Let% of a number x number x let the number be x. Let the number be x 20% of x. So 20% of x is plus 90 is equal to is equal to 20% of a number is equal to the same number. So equal to x 20% means 20% mean 0.2 2 x + 96 = x value 96 divided by 0.8 8. So x value 120. Correct.
120 84 + 6 90.
So 120 120% 120 into 3x right 90. So option number A will be the right answer. A for A for Assam. A for A will be the right answer. Correct. 90.
Very good.
Very good.
Yeah. Okay.
Moving on to the next question.
Yeah. Moving on to the next question.
A2. Namita. Namita.
Namita 9.
Yeah.
Yeah.
66 Question two question is my mother's name. M gi namaste.
I say who cover travels a certain distance at a speed of 88 km per hour and double the earlier distance at 16 km hour. Okay.
88 km hour.
Okay.
Good. Best friend. Best friend.
Double the earlier distance at the speed of 16 hour the distance Distance to double double say distance Double X because distance She then returned to the starting point for the same route.
Distance is fixed.
Average speed of the entire journey is 33 km hour. Average speed of the entire journey is 30 is 33 km per hour question.
What is her speed then? What is her speed for the return journey?
Best friend.
Average speed.
Average speed. Average speed. Average distance bytal time correct distance.
Very good. So average speed is 33 kmh.
Total distance total distance= 3x.
So total distance will be 6x. Total distance will be 6x. Correct.
2xtal 6x. This is the distance. Let distance be x. Net distance bx total distance= 6x 8 hour speed for the first x 16 kil HT.
Sorry.
Total time A2.
Correct.
X 33= 6 x X by 88 + 2X by 16 2X by X by 16 2X by 16 X by X by 8 X by 8 + 3X by S = 2X by 11 2X by 11 So 88 S 88 Sm 88 S 88 S 88 S X plus 11 S X plus 88 into 3 is 264 right 24 264 X = 3 2x / 11.
So 8 s 12 sx + 264 x is equal to 16 s x x. So this comes up to four. So 4 6 x s is equal to 66. Option number a A4 A4 A4 A4 A4 A4 A will be the right answer right while returning the While returning the speed was S. So directly 66 sorry 64 this is 66 this is 66 correct a forsam correct right Yeah. So, moving on to the next question.
Yeah. Question two. Next question.
Yeah. Next question. Next question.
Solve. Yeah. Next question. Solve.
Next question. Sol.
Hey. Telegram channel.
say 3 years ago from now the age of the father was 14 years more than twice of his son's age 3 years ago from now the father minus 3 is equal to 11 14 years more question 14 years more so 14 years more say 3 years ago the age of the father was 14 years more Then twice of his son's age, right? A2 question after how many years from now will be twice of his son's age. Tw= 2 s - 6 + 14. Correct? So f - 2 s= this will be 8 8 + 3 is 11. 8 + 3 is 11.
Maybe after how many years he will be twice of his son's age? After how many years father will be after 11 years? Twice of his son's age.
Okay.
Next question.
Yeah. Next question.
Answer 11. 11. Answer 11 default. Default of Okay. Yeah.
So a person a person covers a certain distance.
However, the questions are same.
A person can cover a certain distance in 1 hour 24 minutes. Correct? By covering 1/4 of the distance at 5 km hour and at the rest and the rest at 6 km hour. Find the total distance.
Let the distance be D.
Let the distance be D. Say 1/4 of the distance is covered in 1/4 of the distance is covered 5 km per hour and the rest is 6 km. Total distance a person can cover a certain distance is total timeal distance by speed right. So total time 1 + 24 is equal to distance.
So 1 by 4 of d 1x4 of d 1x4 of d 1x4 of d km hour 3x4 of d 6 km hour 1x 12 5 7 x 5. So directly I can write this as 7x 5 right directly I can write this as 7x 5= d by 5 20 plus 3x4 so d by 8 right d by 8 correct so 7 by 5 7 x 5 equal to this is 28 D 28 D 28 D this is 160 this is 28 D to 7 4 right 5 to 8 so distance I 8 km option number C I So 8 8 km I said good the distance is 8 km simple distance is 8 km actual distance is equal to assumed distance into actual time assumed time okay Clear. Clear. Okay. Now, let's move on to the next question. Yeah. Question solve.
Yeah. Question solve.
The water flows at the rate of 10 m per minute from a cylindrical pipe of 16 mm in diameter.
How long will it take to fill up the conical vessel whose diameter is 60 cm?
Left is 12 21 cm cm 1 hour 10 minutes flows at the rate of 10 m per Right.
100 cm 19= 100 cm 100 cm cylindrical pipe is 6 mm 6 mmide 6 mm = 0.6 6 cm is equal to 0.6 cm.
Correct.
How long will it take to fill the conical vessel to conical vessel?
vessel.
Right. Vessel So this is a conical vessel.
diagram.
This is not volume.
Nice.
volume of a cone 1x3 p<unk> r² h 1x 3 p<unk> r² h is equal to<unk> r² of the pipe into r² of the pipe into h rate into r into cancel out right of the cone diameter 60 diameter 30 into 30 into h what is height? height will be 21 cm. Height will be 21 cm because depth and height both are the same thing. Right?
R² radius of the pipe radius of the pipe.
So pipe 0.3 0.3 into 0.3 that will be the rate. So 0.3 to 0.3 m per minute 10 m per minute is equal to 10 into 100 cm per minute 180.
So this is about 3D7 A2 A2 A2 A2 A2 That will be that will be that will be time will be how much? 70 minutes. 70 minutes means 1 hour 10 minutes. 70 minutes 1 hour 10 minutes. Right. Right. 1 hour 10 minutes. Right. Good parag volume of water flowing perm pipe p<unk> r² total volume of the vessel 1x3 pi r². Good nisha correct answer is C. Very good. 1 by 70 minutes that is 1 hour 10 minutes.
Clear? Clear. Everything is good. Right.
Say 1 hour 10 minutes. Correct answer.
Okay. Now let's move to the next question.
Just take 20 seconds.
Just take 20 seconds.
20 seconds. Okay.
Yeah.
45° Nazana.
571 question.
Second options.
1 2 3 4 1 0 1 2 3 0 1 2 3 4 Just put the value of the degree.
Put value question.
Second 90° 45° 60° options.
options.
45° cos x² theta. So cosec square 45° plus 4 of sin 45° 4 of sin 45° cos cosec 45 cosec 45° is <unk>2 because sin 45° 1 by <unk>2 right so cosec 45 cosec 45° cosec 45° how much <unk>2 so roo<unk>2 square + 4 into sin 45 is how much 1x <unk>2 and 1x <unk>2 square is 1x2. So basel 2 + 2 is equal to 4. So what I can see is that 45° is the angle is the value of the theta that if I put on this question the answer will be four. Correct. Bipl very good answer.
Okayometry formulas are of course important but the shortest method that you can apply is that okay now let's move to the next question of the day let's move to the next question of the day Question 100.
So the key question. Yes. 100. Very good. Yeah. Nisha B. Okay. So proportion by cal ratio proportion proportion proportional ratio B value C A square A square= B into B into B A² is equal Find the positive value of C.
Cal= 25. So 25 into 4 is how much? Is 100. That is option number B. B for bakadistic is the right answer. Right. B for bakaristic is the right answer.
B for bakaristic is the right answer.
Correct.
practice for a time.
Yeah. Three consecutive discount.
So consecutive answer.
Yeah. So single discount of three consecutive discounts of 20 30 and 20 13 and 20.
So formula for discount is key. Successive formula for discount is key. Successive formula discount successive discount for formula.
Successive discount formula. A + B minus of A by 100. A + B minus A by 100.
A + B minus of A / 100. Correct.
Yes. Good. Very good.
So 20 + 13 - 20 into 13 divided by 100 33us 2.6 30.4 30.4 Yes. 30.4 plus 20 plus 20US of 30.4 into 20 / 100.4US US2 32 are 6 so 6.08 so 50 minus this is 6.08 08 is how much? 50 44 44.32 44.32% that is option number C 50 50 that is 44.32% that is option number C C for sorio will be the right answer for will be the right answer correct C for will right answer yeah next Question.
Yeah. 20 seconds. 20 seconds.
20 seconds. Answer.
option number 405 y= 2. So y 405 / y = y by 125. So what I can say 405 into 125 is equal to y² is equal to y².
So this I know is 5q 4 5 81 5 into 81 9 81 right that is 9 square that is 9² y square. So a2 5 the^ 4 into 9² = y² 5 the^ 4 5 25 into 9 25 into 9 is y. So that is 225 because 25 is 200 225 the partnership problem.
Next class partnership problem if I forget questions.
Yeah. Next question. The last question of the day. The last question of the day.
Last question of the day. Key question.
A, B, C alone can do a piece of work in 5, 55 and 66 days respectively. They all start the work together. But A left after 4 days. In how many days was the whole work completed?
Done.
6 B right 66 right LCM so a 66 B 6 A Right. So total they all they all start the work together. They all start the work together. So 11 into 5 into 66 55 into 66.
So 55 55 into 66 55 to 55. No this is 66 into 11.
Question.
Yeah. A B S C A 55 66 right 55 into 66 5 11 into 66 correct 11 into 66 correct 9 66565 right 55 into 66 330 will be the total work 3 630 will be the total work they all start the work together. A2 6 2 762 762 + 66 + 55 7 26 121 Right 121 7 4 8 874 874 7 28 car 2 16 18 carry 8 32 33 Three say you say no 338 36 3630 36302 242 How many days was the whole work completed?
242 / 121 is equal to 2 * completed. Whole work completed.
Whole completion number B 6 2 + 4 6 correct that is option number B say okay sir okay sir Take remaining work 66 66 66 yeah LCM 330 okay 66 that is the correct answer sorry six will be the right answer don't worry about on Monday with some new topics with some new questions.
Okay, done question.
Don't worry.
Okay.
Okay. Thank you. Byebye.
Bye.
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