This comprehensive MBA PGCET workshop covers essential quantitative aptitude problem-solving techniques including percentage calculations, profit and loss concepts, time and work problems, speed-distance-time relationships, compound interest, and data interpretation through Venn diagrams and pie charts. The instructor demonstrates systematic approaches to solving complex problems by breaking them into manageable steps, using algebraic methods, and applying fundamental formulas. Key topics include calculating profit percentages, determining work efficiency ratios, solving mixture problems, and interpreting statistical data from visual representations.
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Five liter of water then he remaining 15 liter that selling mixture he replaced with water that's why 15 + 25 is 40 liter and 60 lit of milk and they ask this is very important if they ask milk to water first comes milk part and then comes water part they ask water to milk then first come water then come milk okay Next.
Previous what ratio must be water to mix it with milk. Milk come first and then comes water.
Milk mixed with water.
Okay.
Next.
Okay. Mr. John gave 40% of money he had. Total he had 100%. Okay. To his wife. He also gave 20% of the remaining amount to each of his three sons. Half of the amount now left was spent on miscellaneous items and the remaining amount of 12,000 was deposited in the bank. What amount of money did Mr. Jones have initially? Okay.
No, no. Milk to water.
Okay, that is solve this option one. Okay.
Danjita Nha Anu. Okay.
Okay.
Mr. John gave 40% of money he had. Okay.
Initially he had 100%. Correct?
100%. 40% he gave to wife. Okay. Minus 40%. And he left 60% of money. Okay. He also gave 20% of the remaining amount.
Remaining amount nothing but 60% 20%.
Okay.
uh you take it as 100 x okay he give 40x and he remaining with 60x 20% of remaining amount each of three sons 20% means 60 into 20 by 100 0 0 0 6 2's are 12 12x on each sun there are three sons he give 36 x and remaining is 24x.
Okay. 24x half of the amount now he left spent. How much amount remaining is there in that? Half of the amount he spent means 12x he spent on uh miscellaneous items and he remains 12 x. Okay. That 12x is nothing but remaining amount 12,000. 12 x is nothing but 12,000 and x is nothing but 12,000 divided by 12 x is 1,000 x is 1,000 they ask initially initially they have 100 x 100 into 1,000 is equal to 1 lakh option one is the correct Answer.
Option one is the correct answer.
Correct. Good.
Next.
Try to solve this.
Okay. Jewel section one.
Okay. Try this. One question.
Okay. Option A. Okay.
Option D. Mega. Okay.
Ranjit option Aual option one. Okay.
Okay. Try the salary of A and B together amount to Rs 26,000. If they spend 75% and 60% of their respective salaries and their savings are equal then their respective salaries should be okay. A spends 25 75% and B spends 60%. A saving is 25% and B saving is 40%. That 25% and 40% are equal. They are selling they telling that that 25% of A saving is equal to 40% of B saving. Okay.
Okay.
A and B's salaries equal to 26,000.
Correct?
Okay. Option yes. Option yes D. Okay. We don't know salary of A. We don't know salary of B. Let's consider salary of A is X. Okay. Total both adding both the person salary we get the 26,000 salary of A is X and salary of B is 26,000 - X because total 26,000 we consider A salary is X after subtracting 26,000 - X remaining we get the salary of B okay we get a salary of A salary of B saving 75% he spends and 25% 25.
He says 25% of 25% of X is equal to 40% of means 25% of A salary is X is equal to 40% of B sales - X 26,000 - X 25 is nothing but 1 by 4X is equal to 4 by 10 26,000 - x. Okay. 1x 4 1x 4 is x by 4 = 2 by<unk> uh directly I will write okay 2 5 are 2 into 26,000 is 52,000 - 2 into x is 2x / 5 okay here is divided 4 here is divided by 5 cross multiply okay I will write here 5 into x px is equal to 4 into 52,000 4 into 52,000 is 2 080 - 4 into 2x is 8 x okay okay that x comes this Right. 13x = 28 triple0 divide this 13 1 are 13 1 are 13 remainder 7 13 6 okay we get the value of x = 16,000 means a salary is 16,000 and b sal is 26,000 minus 16,000 is 10,000 we get the salary of a and Salary of B is 16,000 and 10,000. Option D is the correct answer.
Okay. Option D is the correct answer.
Correct. Mega Rita Rishi Rushikesh. Correct.
Okay.
A salary we consider as a X because we don't know the salary of A salary of B and B salary we consider 26,000 minus X because A salary is X total is 26,000 after subtracting 26,000 minus A salary we get the salary of B okay and then we do they uh if this uh they send 25% okay they're telling that if A spends 75% then his savings is 25% % that 25% of A is equal to 40% of B. Okay. 1x 4 is nothing but 25%, 4x 10 is nothing but 40%. After solving this, we get the answer as A cell is 16,000 and B cell is 10,000.
Okay.
Next, profit and loss.
Okay. Profit and loss. When we get profit, okay, profit is nothing but when selling price is more and cost price is less.
What we get? We get profit.
we get profit. Uh consider selling price is 120 and cost price is 100 rupees. We bought one book for 100 rupees and we sell that book into 120. We get a 20 rupees profit. This is nothing but profit. When we get profit, selling price is more and cost price is less. This is called profit. When cost price is more and selling price is less. We got a uh we bought a book of for 100 rupees and we sales for 80 rupees we get a 20 rupees loss.
Okay.
When we get profit selling price is more and cost price is less. When we get loss cost price is more and selling price is less. Okay.
They ask profit percentage.
If they ask profit percentage, what is formula?
How much profit you have? Cost price minus selling price divided by comparing with cost price. Always we compare with cost price only into 100. Why into 100?
Because we want in terms of percentage.
That's why we into 100. Loss percentage.
Loss percentage is nothing but cost price minus selling price. We get the loss divided by cost price into 100.
This is nothing but profit divided by cost price into 100. This is nothing but loss into cost loss divided by cost price into 100. We get the profit percentage and we also get the loss percentage. Okay. Uh we give the discount. We always give the discount on MRP only. Okay. Okay. Let's do this question.
A dealer sold 3/4 of his articles at the gain of 20% and the remaining at cost price.
Uh what is the gain earned by him in the whole transaction?
Okay. 15% we get a loss when selling price is less than cost price. Correct.
Okay.
Uh let's consider in terms of 100 they had 400 articles. Okay.
He sold 3/4 means 400 into 3 by 4 4 1 are 4 100 into 3 is 300 articles 300 articles at the gain of 20%. Means 120 100 is initial and he gain of 20% 120 divid by 100 get cancel 3 into 120 is 360 he sold it at 360 and remaining 100 article he sold it as it is means he get 360 plus 100 he get 460 rupees total. Okay what is his cost price? Cost price is 400 and selling price is 460. What is the gain earned by him on whole transaction for in terms of percentage? Profit they are asking profit percentage. Profit percentage is nothing but profit percentage is nothing but selling price minus cost price divided by cost price into 100. Okay. Selling price minus cost price is 460 minus 400 divided by cost price is 400 into 100 difference is 60000 can cancel 60id 4 60 divided by 4 is nothing but 15%. 15% is the correct answer they had 15% profit on whole transaction.
Okay. 15% correct.
Good.
Okay. Remember the formula. When we get profit, when selling price is more and cost price is less, we get the profit.
When we get loss, when cost price is more and selling price is less, we get the loss. Okay. In they ask profit percentage, profit divided by cost price into 100. when they ask loss percentage loss divided by cost price into 100 we give the discount on MRP only. Okay.
Okay.
Next.
A man gains 10% by selling the article for the certain price if he sells it at double the selling price of the article.
Okay.
Try to solve this.
Okay. Play 120%. Good.
Okay. Answer the remaining students.
A okay. A good sum.
Okay. Good.
Okay. A man gains 10% by selling a article on a certain price. Okay.
Cost price, selling price, cost price is always 100%. Okay. He gain 10%, means after uh he gain 10% means 10% is the profit.
Cost price plus profit is equal to selling price.
Okay. 100 100 is the cost price and 10 is the profit and he sells at 110. Okay.
If he sells it double of selling price, selling price is 110. If he sells double of selling price means if he sells 220 and cost price is 100 rupees.
Profit made by is 100% is cost price.
Selling price is 220.
Cost price is 100 plus profit is equal to selling price 220 100 goes that side P = 220 - 100 P = 120%. Means initially cost price is 100% and selling is 220%. Means here profit of 120%.
120% is the correct answer. Okay, good.
Uh this question Rishab, this question you don't understand? Yes.
Okay, I will explain one thing.
Okay. The man gains 10% by selling a article. Okay, cost price is 100%. Okay, initial cost price is 100%, right? Okay, then he gains 10% means profit is 10%.
He sells 10% extra profit and selling price. Cost price plus profit is selling price he sells 110 rupees or he buys 100 rupees and sells 110 rupees. He got a profit of 10%. Okay. And what he do? He sells double of the selling price. If he sells double of the selling price now he selling is 110. If he sells double of selling price means 110 double. If he sells 220 then how much profit he give?
100. 100 is the cost price. Okay. 220 is the selling price. What is the extra is there? No, that is nothing but profit.
Extra is 120% is the extra. 120% is the profit he get after selling a double price of selling price. Okay. Now you got Okay. Yes.
Fine 120 is the correct answer.
Cost price and selling price. If selling price is more, he get profit. Cost price is more he get loss. Okay. Here selling price is more how much more? 120%. 120% is the profit he made.
Next.
Okay.
In percentage, you know the fraction to percentage 1 by 1 is nothing but 1 by 1 is nothing but always percentage means into 100 is there. 1x 1 is nothing but 100%.
Correct.
Okay.
Okay. 1 by 2 is nothing but 50%.
1x 3 is nothing but 33%.
1x 4 is nothing but 25%.
1x 5 is nothing but 20%.
Correct.
1x 6 is nothing but 16.67.
1x 7 is nothing but 14 28%.
1x8 is nothing but 12 5%. Okay. Let's observe. When denominator double percentage become half when denominator become double percentage become half. When denominator become double percentage become half.
Okay. Then 1x 16 is nothing but half of this 6.25.
Okay. Next 1 by 14. Double of this is nothing but half of this 7.14.
Okay.
Yes. Correct. And 1 by 9 is nothing but 1 by 9 is nothing but okay is nothing but 11.1%.
1 by 11 is nothing but 9%.
Okay remember when denominator comes 9 percentage is 11 table. When denominator comes 11, percentage is 9 table. Okay.
11.11. Okay.
Okay.
U 4 by 9 is nothing but 4 by 9.
4 by 9 is how much percent?
Okay, we know that 1 by 9 1 by 9 is 11%.
Okay, instead of 1 we get four means here is into 4 we get 4 by 9 and here also into 44%.
Okay, good.
Uh 6 by 11.
6 by 11 is nothing but okay.
We know that 1 by 11 1x 11 is nothing but 09.09%.
09%.
Instead of 1 we get 6 into 6 into 6 9 6 54 54%.
Okay, not 55 54.54%.
Okay, let's solve this.
If by selling a 110 mangoes at the cost price of 120 mangoes, okay, cost price of 120 mangoes, he sell the 110 mangoes. He got a profit of 10 mangoes.
Initially he has 110. 10 mangoes profit he had compared to 110 into 100. How much profit he had? He sells 110 mangoes at a cost price of 120 mangoes. Means he remains 10 mangoes. Okay. 10 mangoes out of 110 into 100 0 get cancel 1 by 11. 1 by 11 is nothing but 1x 11 is 9 09 or 09 1 by 11 both are same. Answer is 9 and 1 and 11 is the correct answer.
Okay.
Fraction to percentage conversion is very important.
Okay. Try to remember 1 to 20 convergence 1x 1 1x 2 1x 3 1x 4 till 1x 20 very easy to solve the questions. It helps to uh save the time. Okay.
Okay, next time and work.
Okay, time and work. uh before that we will I will teach you some basic. Okay. If A can do piece of work in 5 days and B can do piece of work in 10 days. Okay. A can do piece of work in 5 days. B can do peace of work in 10 days. Okay. If one same work is there. If a do that work in 5 days means a efficiency is completing that work is 5 days and b can do work in 10 days.
Take LCM of that is 10 10 units. After LCM is nothing but total work.
What is the total work? By taking LCM of uh individual days. Okay. And efficiency.
Efficiency is nothing but efficiency is nothing but total work.
Total work divided by total days they taken. Okay. Efficiency of A is nothing but total work is 10 divide by total taking days five. Efficiency of A is two means what is efficiency of A? Unit of work per day he can do. Okay. Two.
Efficiency of B? Total work is 10 and he complete the work in 10 days. Then efficiency of A is one unit. He complete one unit each day and he take a time to complete 10 units for 10 days and A can complete two units for each day and they take time to complete 10 units by 5 days. Okay.
Then they ask if both work together how many days required to complete the work?
Total work divided by total time. Total uh sorry total work divided by total efficiency efficiency of A is two efficiency of B is 1 total three 1 by 3 days they required to complete the work working together. Why total efficiency? Because uh they both work together means he can complete a two unit of work one day and he can complete a one unit of work one day. They both together three unit of work complete in one day. Okay.
Okay. I will explain briefly once again.
A can do work in 5 days. A complete the whole work in 5 days working alone. B can complete the work in 10 days. be working alone the complete that work in 10 days by taking LCM we get the total work okay total work uh we want to find efficiency efficiency is nothing but per day work total work divided by total time taken we get the LCM of sorry so efficiency of A and efficiency of B if they working together then add both efficiency uh total work divided by total efficiency we get the total time they taken to complete complete the whole work. Okay. Okay. Let's do this question.
10 men and eight women can together complete the work in 5 days. Work done by women is equal to half of the work done by men. Okay.
Here m_sub_1 d1 work done man together can is equal to m_sub_2 d2. Okay. Men and women 10 men 10 men plus 8 women can complete the work in 5 days. Correct? And work done by woman is equal to the okay. Work done by if how many days will required is equal to how many days required? Four men and plus six women can complete the work in question mark.
Okay. They're telling one woman is equal to half work done by men.
Okay. Try this answer. 10 days. 10 days.
Okay.
Okay. One woman is nothing but half men.
Means two women is nothing but one men.
Okay. Replace with that 10 men plus 8 men. Two men is nothing but one men. A two men is nothing but four men. Replace with men. Four men into 5 is equal to four men plus six women. One two men is equal to one men. Means 6 women is equal to three men.
3 men into x. Okay. 14 men into 5 is equal to 7 men into x. 7 1 are 7 2's are 5 2's are 10 is equal to x means means what? 10 days they required to complete the work.
Answer is option B is the correct answer. 10 days day required. Okay.
Good. Correct.
M1 D1 is equal to M2 D2. Men, women or they men women day.
Okay. Solve this.
See? Okay.
See? See? Okay. Vual.
Good.
Not good.
1.5. Okay. A can do certain work in 12 days. B is 60% more efficient than A.
Okay. 60% more efficient means he get the less time. Efficiency more means timeless. Okay.
A take a take 12 days. Okay. B is 60% more efficient means if he take 160% time then he take 100% time. Okay. Cross multiply here. Consider as x uh 12 into 100 / 160 is equal to x 0 0 8 5 are next 2 3 5 are 15 / 2 is nothing but 7 5 days. Okay. Why we taken 160 and 100?
Okay, 160 is nothing but time.
Efficiency and time are vice versa.
Okay, A can do a certain work in 12 days. A can do a certain work in 12 days. B is 60% more efficient than 60% more efficient than 60% he time. He take time less. If he takes 160% time and he take B is 100% time. That's why we cross multiply. Okay. 12 into 100 / 160 into x. X comes this side and x= to 12 into 100 to 160. By solving this we get the 7.5 7 1 by 2 days is the correct answer.
Okay.
Next 12 men and 16 boys can finish a work in 5 days while 13 men and 24 can finish the same work in 4 days. The ratio of daily work done by the man and to the boy is Okay, nobody answered.
Okay.
Rook 2 1. Okay.
2 1. Okay.
12 men m1 d1 is equal to m2 d2 man and and 16 boy can do a piece of work in 5 days equal to 13 men 13 men and plus 24 boys can do peace of work in 4 days. Okay. They asking a ratio about men to boy. Okay.
12 into 5 16 men plus 16 into 5 80 boy is equal to 4 into 13 52 men plus 4 into 24 96 boy. Okay.
Let's men do one side and boys do other side. 16 men minus 52 men that 52 comes this side become minus equal to 96 remain here only minus 80 becomes this side and becomes minus 80 b uh subtracting this 8 men is equal to 16 boy. Okay.
M / B. B comes this side is equal to 16 / 8. 8 8 1 are 8 2 M by B is equal to 2 Rio 1. Men men to boy. Men is two and boy is one. That's why answer is 2 ratio 1 is the correct answer. Okay, they ask men to boy. Men is two, boy is 1. 2 1 is the correct answer.
Okay, next If the work done by eight men and four boy in one day is seven times the work done by one man one boy then complete the work done by one man and one day by one Okay.
Three. Good. Aru Sanjana. Very good.
Okay. Work done by eight men plus four boy in one day equal to 7 * the work done by 1 man + 1 boy. Okay. 8 m + 4 b is equal to 7 m + 7 b. Okay. 8 M - 7 M is = 7 B - 4 B M = 3 B M by B is equal to 3 that's why option C 3 is the correct answer three correct good rishies correct Good.
Next time and work chapter similar to time and work. Pipe and sustain. In time and work they do two person or more than two person do the work. In pipe and sustain one or two pipe inlet and one pipe is outlet. is two pipe fill the tank and one pipe is empty the tank. Okay, try to understand the question. Try to solve and I will teach you how to solve this.
Okay. Aru good.
A good shiha.
Sanjana good.
Okay, two pipes can fill the tank in 10 hour and 12 hour. Let's consider pipe A and pipe B. Pipe A can fill the tank in 10 hour. Pipe B can fill the tank in 12 hour. Okay, respectively. While the third pipe is empty the full tank in 20 hour. C is there empty the full tank in 20 hour. These two are plus because these two are filling the tank and C is minus because this C is emptying the tank. Okay. Take LCM of these three. LCM of these three is 60. 60 is the tank capacity. Total capacity of the tank is 60 L. Okay. Okay. Efficiency.
Efficiency is nothing but total capacity divided by time. 60id by 10 is 6 + 6 because this is filling. 60 by 12 is + 5. 60id by 20 is 3 but not plus minus because this is emptying the tank. Okay.
If all the three pipes are operate simultaneously, what is the time required to fill the tanks? Okay. All the three pipes super means six is fill the 6 liter. A is fill the six liter. B is fill the 5 liter means total 11 liter and C is emptying the tank in 3 liter.
11 - 3 is 8 liter per hour. Total tank capacity is 60 lit divided by total efficiency is 8. 8 1's are 8 7 are 56 4 remaining is 48 5 7.5 is nothing but 7 / 30 minute is the correct answer good 7 30 minute correct 7:30 correct option A okay consumption Okay.
It is now being sold at 27 per kg.
During the last month it cost was 24 kg.
Find the how much percent family reduced the its consumption so as to the expenditure fixed. Okay.
They decided to spend fixed amount.
Okay. 12.1 rushikesh. Okay.
11.1. Good. Correct.
Okay, it is now 27. Uh, last month they cost 24 rupees. Now it is 27 rupees. He want to buy at 24 rupees only. How much less quantity he want to buy? Okay. How much less? 3 rupees is less as compared to 27.
He's buying 3 rupees less as compared to 27.
>> Okay.
In terms of percentage is 100. 1 divided by 9. 1id 9 is nothing but 1 by 9 is 11.11%.
Option D is the correct answer. Correct.
Okay.
Now the price is 27 and last month 24 he decided to buy 24 rupees wheat only that's why he buys 3 rupees less wheat 3 rupees as compared to current price is 27 in terms of 100 because in into 100 because we want answer in terms of percentage 1 by 9 1 by 9 is nothing but 11.11%.
Okay. Next.
Okay. Trials speed distance.
Speed distance and time.
Average speed. Find the average speed of the car.
How can you not?
>> Okay.
Okay, we is now 27 rupees >> sir.
>> Okay, >> we can't see this brown.
>> Okay, fine.
Okay, wheat is now being sold at 27 rupees. Wheat is now sold at 27. Wheat it is now 27 rupees. During the last month, it cost 24 rupees. Uh the family decided to buy a 24 rupees wheat only.
Okay. Uh they decide and come to market to take a 24 rupees and now the wheat price is 27 rupees. Okay. Now the family decided to buy only 24 rupees wheat. Uh how much quant how much rupees come they buy? 3 rupees less. Okay, that 3 rupees less they buy as compared to current price is 27 rupees. He buy they buy three rupees less as compared to 27 in terms of percentage we multiply 100 3 1 are 3 9 1 by 9 is nothing but 11.1% less quantity they buy consumption is nothing but how much percent less they buy okay now you got this mega Yes. Okay. Fine. Next.
Okay.
Two cities A and B are in 360 km apart.
A car goes from the A to B with respect to 40 km and returns with the speed of 60 km. Okay, there is one formula for average speed is nothing but 2 S1 into S_sub_2 divided by S_sub_1 + S_sub_2. Okay. 2 into speed of first 40 into speed of return journey 60 divided by 40 + 60.
2 into 40 into 60 divided by 40 + 60 is 100. 0 0 get cancel. 2 4 are 8 86 are 48 kilometer per hour. 48 km per hour is the right answer.
Okay, good. 48 km/ hour 48. Okay, remember this formula 2 s1 s2ide s1 + s_sub_2. S1 is the first speed and S_sub_2 is the returning speed divide by S1 and S_sub_2. Here multi uh nominator is multiply denominator is addition. Okay.
Next.
A man decided to travel 80 km in 8 hour partly by put and partly on the bicycle.
If his speed is speed on foot is 8 km per hour and the on bicycle is 16 km per hour, what distance would he travel on foot? Okay, feet.
Okay, try to solve this.
Okay, good.
Okay.
Okay. Time is equal to formula time is equal to distance upon speed. Correct?
Okay.
Uh how much distance it I will put? We don't know. Total is 80 pet and bicycle. If it travels x distance on p and 80 - x is bicycle because uh he he covers some distance by feet and subtracting 80 by that distance we get the distance of bicycle. Okay.
X distance he cover on he cover on feet at a speed of 8 km/ hour plus 80 - X distance he cover with the bicycle at the speed of 16 kilome per hour total heat taken time is 8 hour okay total he taken time is 8 hour uh by solving this 8x 8 I sorry.
Okay. Uh taking LCM divided by 16 16.
Okay.
16 x 2x because we multiply by 2 we multiply by 1 + 80 - x = 8. Okay. Bring 16 into this side. 2x - x is x + 80 is equal to 18 into 6. 18 into 6 is 128.
x = 128 - 80. x = 48.
X = 48. We got the feet is 48 and remaining bicycle is 80 - 48 is 32 and they ask travel on that's why 48 is the correct answer. If they ask distance covered by bicycle your answer is 32 kilometer. Okay.
Okay.
Okay.
He cover total he cover 80 kilometer.
Correct.
He cover 80 km.
If he cover on uh by walking x distance and bicycle 80 - x why 80 - x because if you cover 10 km here 80 - x is 70 km covered by bicycle. If he covers 20 km by feet and 80 - 20 is 60 km by bicycle. how much distance he cover from feet and subtracting total from that we get the bicycle. Okay.
Okay. Next total time is equal to distance upon speed. Time is equal to distance upon speed. Time taken by feet is we don't know x distance divided by speed is 8 km per hour plus uh bicycle is 80 - x divided by speed is 16 km hour. By adding these two he take total time total time he taken is 8 hour. Okay. Till now you understand visual.
Okay. Next.
Okay. We take LCM of these two because we add these two. LCM of these two is 16. Here is 8. 8 into 2 is 16. 16 into 1 is 16. Okay.
8 into 2 2 into x 2x + 80 - x is equal to we get the answer as 8. Okay. 2x - x is x + 80. This 16 comes this side. 8 into 16. x + 80 = 128. 80 come that 80 goes that side. X = 128 - 80 is equal to 48. 48 is the X. X is nothing but distance covered by food is 48.
Okay. Now we got Yes. Welcome. Next.
A is twice as fast as B and B is thrice as fast as C. The journey covers by C is 54 minutes. Okay.
Then the covered by B is Okay.
Let's consider uh total distance 80 kilometer. Okay.
Time taken by A and B time and speed.
Okay. If they take 10 and eight time.
Okay.
Speed is equal to speed is equal to distance upon time.
Distance is 80 and time is 10. And speed is 8 kilome per hour. And here distance is 80 and time taken is 8. 10 kilome per hour. Time and speed is ratio va. Okay.
when time and speed ratio is given they are vice versa. Okay.
Okay. Now A B C A B C speed and time. Okay. First they use speed. A is twice as B. B is twice as C. If x is x speed is uh c speed is x then b is twice of c means 3x and a is twice of b means is twice of b means 6x. Okay let's take c speed is x b is twice of c is twice mean x into 3 3x and a is twice of first as b is twice is six. Okay. Then time to C is 54 minute. Then what will cover by B? They are asking B.
Time is YA.
If 3X means 54, then X means 18 minutes because there is thrice.
Answer is option A is the correct answer. Good option A 18ha vual. Correct.
Next Okay. Peter can cover a certain distance in one 1 hour 24 minutes and covering 2/3 of the distance at 4 km and the rest of the distance is 5 km total distance.
Okay.
This is not this is point 56 5. Okay.
Okay. So this That is all.
Okay.
6 six. Good. 6 km. Okay.
Uh 2/3 of the distance is 4 km. Two part of distance. 2D is 4 km/ hour. Plus remaining one part of D is 5 km/ hour.
He taken total time is 1 24. 1 hour 24 is nothing but into in terms of we convert minutes. Minutes means 1 hour means 60 minute plus 84 24 means 24 total 84 minute he taken. Okay.
Next by taking LCM of this 20 into 5 because 4 into 5 20 into 4 4 into 5 20 10 D + 4 D is equal to 84. 10 D + 4 D is 14 D by 20 is equal to 84.
1 Z 7 five six.
Okay.
And the rest of the distance total distance he covers.
Sorry.
two two * distance by 4 km/ hour and one distance is 5 km per hour.
taken 20 minutes divided by in terms of 60 6 1 6 10 are 6 1 6 14 14 1 by 2 Okay 1 Itch.
Okay, sorry. Sorry.
Huh?
Peter covers a certain distance in 1.4 over a minute covering a 2/3 part. Okay.
2D part he cover a distance at 4 km/ hour plus remaining D part he cover a distance at 5 km/ hour. Okay. Total time taken is 1 hour 84 minutes. See convert 84 minute divided by 60. Why divided by 60? Convert in terms of hours. Okay.
10 are 14 7 are 5. Okay. Take LCM of this 20 into 5 into 4.
10 D + 4 D = 7 by 5. Okay.
14 D by 20 is equal to 7 by 5. 5 1's are 5 4 are 7 1's are 7 2's are 2 1 are 2 2 D is equal to 2. Okay. D is equal to 2.
We got a d= 2. We got one part is = 2.
Total three part are there. 3 into 2.
Answer is 6 kilome is the correct answer. Okay.
6 km is the correct answer.
Five. Not five. 6 km.
23. 23. Correct. total two part. First he covers at a distance of 4 km per hour and next one part he covers a distance of 5 km per hour. Okay.
Next Okay, as earlier we told the ratio of speed.
Consider A and B. Speed A is 8 and B is 9. Okay. And the second train means B covers 360 kilometer in 4 hour means 4 1 4 9 Z 90 kilome per hour is the speed 90 km/ hour and this is 80 km/ hour correct 80 km per hour is the speed of first train.
First train uh distance covered by first train while traveling 3 hour 80 kilometer per hour into 3 hour total 240 kilometer they travel. Answer 1 A is the correct answer 240.
Option Aha correct. Okay. Speed of A and B is 80 and 8 and 9 and second covers 360 km in 4 hour means 90 km per hour. 9 is nothing but 90 then 8 is nothing but 80. 80 km per hour they travel and they travel for 3 hour per kilometer 80 per kil per hour 80 km and 3 hour is 80 + 80 + 80 is 240 km is the right answer. Okay. Next.
Okay. Train problem based on speed, distance, time.
Okay.
A train 130 m long crosses the platform in 30 seconds with the speed of 45 km/ hour. Okay. Speed is equal to distance upon time. Find the length of the platform. Okay.
speed is 45 kilome. We get the answers in meter not a kilometer. That's why we convert into 5 by 18. 5 by 18 is a conversion of kilome to me. And if you want to convert me to kilome 18 by 5, okay, is equal to distance. We know that 30 m long is train. But we don't know the platform. We put p divide by time taken. 30 second. Okay. 9 2's are 9 5 are 2 1's are 2 15 5 are 25 into that 15 comes this side 15 is equal to 130 + p. 25 into 15 is 25 into 10 250. 375 minus 130 is equal to P. 275 is 130 is 245 is equal to platform length. They are asking length of the platform. Length of the platform is option B. 245 kilometer.
Sorry, 245 m.
Correct. Rishies. 245 mha.
Correct. Good.
Next.
In how many way can letter of the word s t r e d s can arrange it? Okay.
1 2 3 4 5 6 seven letters are there.
Seven factorials way we can arrange that word but divided by how many letters are repeat 1 2 3 Yes s is repeat three times that's why 3 factorial 7 factorial nothing but 7 into 6 into 5 into 4 into 3 into 2 into 1 divided by 3 factorial 3 into 2 into 1 that this 3 3 into 2 into 1. 3 into 2 into 1. Cancel.
4 5 are 20. 26 are 120. 120 into 7 12 uh 3 factorial. 7 factorial divid 3 factorial. 20 20 120 120 into 7 40. Sorry.
1 2 3 4 5 6. Oh, yes. Sorry, there are six letters.
1 2 3 4 5 6. Thank you. 6 factorial divided by 3 factorial. 6 factorial nothing but 6 into 5 into 4 into 3 into 2 into 1 divided by 3 into 2 into 1.
This 3 to 1 3 1 get cancel. 4 5 are 20 26 are 120. 120 ways we can arrange 120 is the correct answer.
Good.
Okay. Simple interest sum of 800 amount to 920 in 3 year at the simple interest. What would be the amount if interest rate is increased by 4%.
Okay, we know that simple interest is equal to PT R upon 100. Correct? Okay, we get the interest of 120 rupees in 3 year. 40 rupees per year we get the interest 40 is how much% of 800? 40 is 8 1 8 5 means 5% of 800. Initially interest was 5% peranom. Then next interest rate is increased by 3%. 5 + 3 is 8% total. Okay. P is principal 800 plus sorry into rate of interest 8% into time period 3 year divided by 100 is equal to simple interest 0 get cancel 88 64 64 3's are 190 to 192 is the in interest simple interest plus principal is 800. We get 992 is the total amount. They ask what would be the amount? Amount is 992 is the correct answer. If they ask what would be the interest then your answer is 192 is the interest. Okay.
Next question.
Harsha makes a fixed deposit of 20,000 in bank of India for a period of 3 years. If the rate of interest is 13% SI perm charged half yearly, what would be the after 12 year? Okay.
Okay.
Si is equal to PT R upon 100. Okay.
Principal is 20,000 into time period is time period for 42 months.
42 months and rate of interest is 13% divide by 100 and we multiply by 12. Why 12? This 42 is in terms of months.
That's why we divided by 12. Okay. 0 get cancel. 6 2's are 6 7 are 2 1's are 2 100. Okay. 100 into 7 700 into 13 13 0 0 13 0 0 13 7 are 91 9,100 as a interest and principal is 20,000 principal plus 9,100 as a interest total 29,100 she gets back option C is the correct answer option C correct.
Okay. Why we divided by 12? Because they given in terms of months. If they given in terms of years, we don't need to divide 12. Okay.
The sum of money amounts to 6690 after 3 year and 10 035 after 6 years on compound interest. The sum is Okay.
Is formalized.
Sorry.
Okay.
P 1 + R upon 100 to N okay P we don't know 1 + rate of interest we don't know divide by 100 into time period is 6 is 1 or 10,35 P 1 + R upon 100 to 3 here is 6,690 is first equation equation and this second equation by dividing both we get divide this okay 6 - 3 is 3 P 1 + R upon 100 to 3 is equal to 3x 2 okay P get cancel okay 1 + R 1 by R by 100 to 3 is equal to 3x2 okay next put this value into above 1 R by 100 to 3. Okay. P 1 + R by 100 to 3 is nothing but 3 by 2 is equal to 66 90. Okay. 2 comes this side become multiply P is equal to 690.
2 comes this side into 2 3 comes divided by 3. 3 1's are 3 2's are 3 2's are 3 3's are 0 into 2 is nothing but 4 4 6 is the answer 4 6 is the correct answer option A is the correct answer yes correct good Next, the man borrows borrowed 800 at 10% simple interest and immediately lends to hold some 10% compound interest. Okay, for 2 year, okay, simple interest and compound interest.
Compound interest is nothing but compound interest is nothing but interest on the interest. Okay. First year 10%, here also 10%. Second year simple interest same for every year but compound interest not same for every year 10%.
And interest 10% is 10% is 1%. Total 21% here total 20%. He pay 20% and he get 21%. He get a profit of 1%. 1% of 800 is nothing but 8 rupees he gained. Answer option B is the correct answer. Okay. Simple interest and compound interest differences.
Simple interest every year interest is same but compound interest every year interest is different because they get interest on interest. Okay.
First year 10%. He pay to simple interest. Second year also 10% he paid 20%, but he get first year 10%, second year 11%. Because 10% on normal interest and 10% 1% on interest on interest. Okay.
Total 8 rupees he gain.
Next Okay.
A lends 3,500 to B at a 10% interest and B lends some amount of C to 11.5% interest. Okay.
A B C A lends this to 10%, he lends this to 11.5%.
Okay.
Uh then the gain of B in the rupees for 3 year. Okay. Total amount is 3,500.
Every year he gains 1.5%.
And he get total 3 years. His profit is 4.5%.
mean 4.5 divid by 100 into out total amount is 3,500 okay he paid 10% but he get from C 11.5% every year he get 1.5% profit every year 1.5% uh the process is happening for three year first year 4 1.5 second year three third year 4.5 4.5% profit on 3,500 4.5 of 300 is0 get cancel 4 into 140 and 17.5 157.5 profit you get option C is the correct answer 157.5 rupees profit good suma correct Okay. Next.
Romesh borrowed 1 lakh rupees at 8% compound interest. Interest being compounded annually. How much should he repay the end of the first year? So that by repaying 54,000 at the end of the second year to solve This Okay.
He borrowed one lakh rupees.
This is 100%. Okay. After 1 year, he had interest of 8%. Means 1 8% 1 8% is nothing but 8% extra 8% of 1 lakh 0 get cancel 8,000 rupees he pay as a interest okay total 1 lakh 8,000 okay next year he want to pay only 54,000 okay 54,000 is nothing 108%. Then what is 100%?
Cross multiply 54,000 into 100 divid by 1 8 uh 4 25 are 4 27 are 27 1 are 27 2 means 50,000.
Okay.
Sorry.
Okay.
Okay. Let's consider he taken a 1 lakh rupees. First year he he pay 8% interest as a interest 1 lakh 8,000. Okay. Next year he want to pay only 54,000. Then how much amount he pay for first year?
Okay. 54,000 is nothing but not 8% because second year also 8% interest is there. Uh 54% is nothing but not 8. Then what is 100%. 50,000 is 100%. Okay. He want to remain only 15,000. Then he become he he pay 54,000 as a principal plus interest for second year. Then first year he want to clear one in in one lakh 8,000 he remains only 50,000 means he clear 58,000 as a first year then remaining is 50,000 then 50,000 plus 8% interest is 54,000 okay that's why he clear first year as a loan 58,000 okay option C is the correct Yes.
50,000 54,000 not 54,000 1 lakh 8 1 lakh 8 8,000 is the first year principle plus interest but he paid 54,000 he remaining 54,000 but next next year 8% interest is on 54,000 no that's why he remains only 50,000 he pay 58,000 and that 50,000 plus 8% interest is 4,000 000 and second year they pay 64 54,000. Okay.
Okay.
The sum of square of three consecutive odd numbers is okay. Sum of square of three consequ numbers. Three odd numbers. Three odd numbers. Here is one even number. This is not a three odd numbers. Here is one even number. This is not a three odd numbers. Here there is two even numbers.
There is no three odd numbers. Option A is the answer they given directly.
We don't need to calculate. Okay. Next.
The student got a student got twice as marks question wrong as he got right. If he attempted 48 questions. Okay.
Attempted total 48 question wrong. And right he got right how much they did know double they did they answered as a wrong answer.
Total 3x = 48 x = 16. Answer how much how many did he answer correctly? Right answer is 16 questions. He answered 16 questions as the correct answer. 16 is the correct answer. Yes.
Next.
A perimeter of the square are 40 cm and 32 cm. Perimeter of the third square is whose area is equal to the difference between area of two squares.
Okay, there are two squares.
Perimeter is 40 and 32. Perimeter is nothing but 4 a = 40. a = 10. Here perimeter is 4 a = 32. a = 8. Okay.
Uh perimeter of the third square.
Perimeter of the third square whose area is equal to whose area is equal to whose area is equal to difference of these two areas. These two area means 100 minus 64 is equal to 36. This area is 36 means a is root of 36. A is 6. A is six is and they ask perimeter of the third perimeter of means 4 A. A is nothing but 6 into 4 24 cm is the correct answer.
24 is the correct answer.
Next the area of rectangle field 15 times the sum of the length and width. Okay. Area area of length area of rectangle is formula is L into B is the area of the rectangle is equal to 15 * the sum of their length and width. length and breadth. Okay.
If the length of the if length of that field is 40, L is 40 into B is equal to 15. 40 + B. 40 B is equal to 40 into 15. 15 into 40 is 600 plus 16 B. So 15 comes this side 25 B = 600 b = 600ID by 25 25 1 are 25 2 100 25 4 24 is the width of the dash rectangle field okay 24 m Okay.
Okay.
The area of rectangle is 4 * the area of square. The area of square is area of square is a square is equal to 729 means a = 27.
Okay. Area of rectangle is 4 * the area of square. Length of the rectangle is 81. And what is the difference between the side of the squares and width of the rectangle? Okay.
Area of rectangle.
L into B is equal to is 4 * the area of square is 4 * the area of square. Okay.
Length of the rectangle is 81. 4 into 81 into b is equal to 729.
Okay. 81 into 4 3 24 b = 72 9.
Okay. Solve this.
Okay.
Area of the area of square 729 into 4 is equal to 81 into B. 81 1 81 9 into 36 is equal to B. We get the width of 36. And uh we ask the question what is the difference between the side of the square? Side of the square is 27. And width of the rectangle. Width of the rectangle is 36. 36 minus 27 is how much? 3 + 6 9. 9 is the correct answer. 9 cm is the correct answer.
Okay.
Next. Okay.
Mathematical V diagram.
The given diagram shows that the number of students who failed in the examination paper, English, Hindi, mathematics.
Total number of students who took the test is 500. What is the percentage of students who failed in at least two subject?
At least two subject. How much members have failed in the examination in terms of percentage they ask? Okay, at least two means two or more than two is okay. Okay. 12 12 12 5 and 10 total 24 34 39 students failed out of 500 into 100 0 get cancel 5 1's are 5 7 are 35 remaining is 4 4 is 0 5 eight 7.8 is the correct answer. 7.8% students failed the examination in okay next in the three interaction circles below numbers different sections indicates the number of person speaks in different language. Okay, three circles indicates three different languages person speaks.
Okay. How many person speaks only two languages?
Here they mentions only two languages and must and should they speak only two languages four, six and seven. These three circles are indicate the person speak only two languages 4 + 6 10 + 7 17 is the correct answer. Okay. 17 is the correct answer.
17 pual correct sna correct. Yes, few questions are there. Okay.
The percentage of less money spent on Okay. The percentage of less money spent on non-plan than that of defense.
Non-plan is there here and defense is here. 36 degree in terms of the given degree 36 divided by 360 because 360 is nothing but full circle full circle 360 is nothing but 100%.
into 100 0 get 0 0 get cancel 1 into 10 10%. 10% is 10%. What they ask the percentage less money spent on non-planned as compared to defense. Defense is 15% and nonplan is 10%. How much percent less? 5% less is the current answer.
This chapter is called DI data interpretation.
Okay.
The percentage of excess money spent on other than the sports.
Okay.
Other spends 30% and sports spends 18° 18° is nothing but 360 into 100. 0 get cancel 8 1 are 18 2 1 are 2 5 is nothing but 5%. How much percent extra they spend? 25% extra. 25 is the correct answer. Okay.
Next question.
If the total amount spent by the government during the year was 1 lakh cr then the amount spent on defense on education defense and education defense is 10% education is 15 sorry defense is 15% and education is 10% total 25% 25% of one lakh is 25,000 25 cr 1,000 k Sorry 1 lakh cr 1 lakh cr they spend and out of education and defense 25% means is nothing but 25,000 crores they spend on education and defense okay 25% of 1 lakh 0 get cancel 25,000 is 25,000 K is the answer.
Okay.
Last six, seven questions are there. The number of male employees in a company D is okay.
number of total number of employees total number of female employees total number of male employees total number of male employees in company D company D is total 2500 1220 is the female employee then male employees 1280 okay 1280 is the male employee what percent less than the female employee in company C company say 1600. How much? How much less? Uh 20 320 320 less as compared to 1600 in terms of 0 16 1 16 2% less answer is option C 20% is the correct answer. Okay.
Okay. Next. What is the difference between number of male employees in company A?
Okay. Male employees in company A. 5 0 is total and female is 2 4 1 0.
Remaining 0 4 1 3 3 1 4 0 is male employee. And that of company I. company I the difference between the number of male employee in company A and that of company I uh by mistake it's company okay it's question mistake leave it next question okay if in April 2025 the number of female employees in company E increased 10% company E increased 10%.
Uh initially it was 2,600 after increasing 10% is 28 6. Okay.
Total employees in company remain the same. What was the number of male employees? Okay. Total remains same means 4 2 4 0 minus 28 6 0 0 14 - 6 is 8 uh 12 - 9 is 3 1 3 8 0 1 3 8 0 is the correct answer. Okay. They told number of female increase but total strength remains same means boys come boys become decreases.
Okay.
Okay. Next. The total number of females employees in company B and F together.
Company B and F together. B and F 1 8 6 0 and 1 2 4 0 0 10 11 3 100 correct.
Okay. 3,100 uh total number of female employees in company F and B together and what percent of the number of employees in company D company D is 2500 200 divid by 3,100 into 100 employees in B and D is what percent of the number of employees in company D.
Okay. 0 get cancel. 31 1 31 5 6 7 3 8 24.
Okay. Sorry. Sorry. I taken 3 1 / 2,500 into 100 get cancel. 21 1 21 1 21 6 remains is 21 2 0 21 4 Z 124% is the correct answer. Okay. The total number of female employees in company B and F is 2,500 is what percentage of the number of employees in company D?
Okay. Find the center angle of store D.
D is how much percent?
22% uh sorry D is 32%. 32 divided by 100 into 360 0 0 get cancel uh 5 2 5 are 2 18 32 into 18 18 2's are 36 18 3's are 54 57 divided by 5 5 1's are 5 1 are 5 1's are 2 remaining 5 are 2 1 1 5.2° is the final answer.
Okay.
What is the difference between average books sold by A and E?
Okay. A and E. A and E is 18 + 18 + 22 is 40%.
Average means divide by two is 20%. And average book sold by C and D. C and D is 28.
28% average means 14%.
Okay.
40 40 is 20%.
28 C uh sorry C and D. C and D. C and D is 32 + 16 is 48%. 48 by 2 is 24%. Okay, difference is 4%.
4% of total number is 11000 get cancel 41s 44 is the average. Okay.
Okay. Last question.
What is the ratio of the total expenditure on infrastructure and transport to the total expenditure on tax and Okay. total expenditure on infrastructure and transport.
Infrastructure is 20 plus transport 12 by ratio. The total expenditure on tax.
Tax is 10 plus loans.
Loans is 17.5 32.5 ratio 27.5 Remove the point 325 ratio 275 25 11 25 13 ratio 11 is the final answer. Okay, I hope you all enjoy. Okay, thank you for giving such opportunity. Uh, wait a minute.
I want to madam. Wait a just a minute.
Hello everyone. Um, thank you Shanser.
Okay. Uh I have an important update regarding the exam schedule. The PGCT the K has tweeted that the PGCT exam may be postponed to 13th or 14th June. So while we are waiting for the official website to be updated, please don't break your rhythm. Continue your preparation with the same intensity.
Okay.
And finally on behalf of Crystal Institute I would like to extend my sincere gratitude to IBMR group of institutions Rajar sir and Sujendra sir for their incredible support and uh it it has been really a rewarding experience and I would like to thank all the students for the dedication and the active participation.
be consistent consistent be focused and I hope to see all of you securing a very high rank in your exam. Okay. So once again thank you all of you. Um yeah uh so all the best take care and over to Rajikar. Thank you.
>> Uh thank you ma'am.
Thank you. uh Shan sir uh for your uh uh wonderful detailed explanation on quantitative aptitude.
Thank you ma'am. Uh as we come to the end of uh third day MBPGCT workshop, I would like to sincerely thank all the participants uh for your active involvement, enthusiasm and continuous participation throughout the three-day session. For the past three days uh we have covered uh important areas uh like uh English communication exam pattern, current affairs and even logical reasoning as well uh which is going to help you for your other competitive examinations. We hope this workshop has helped you uh to gain confidence, improve your preparation strategy and uh understand how to approach the examination effectively. So on behalf of IBMR, I extend my heartfelt gratitude to our respected resource person uh Mr. Shan Jin sir and Namita ma'am for sharing their valuable knowledge guidance and exam oriented techniques with all the uh aspirants of MBA. So dear aspirants your MBA journey is not uh only about securing admission but also about building a leadership skill knowledge uh communication abilities and career opportunities. In this regard uh I would also like to introduce IBM BB school which focuses on quality management education in the northern part of Karnataka as well as we have also campus at Bangalore. So which teaches industry oriented learning placement support skill development certifications and overall personality development to prepare students for corporate careers.
So as parents who are interested in pursuing MBA and building a successful professional career can explore opportunities available at IBMRB school campuses in Hubli and Bangalore. So once again uh thank you all for being part of this workshop. We wish you a great success in your MBA PGCT examination and future career. So feel free to contact the helpline number or you can access my number from the group also. Okay. Thank you everyone.
Thank you. Thank you very much.
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