CAT/SBI PO Time and Work Hard question cracked in simple logical way

1.
1 man and 3 women and 4 boys can do a piece of work in 96 hours, 2men and 8 boys can do it in 80 hours, 2men and 3 women can do it in 120 hours. 5men and 14 boys can do it in how many hours
ans 40 hours

2
1 man and  3 women and 4 boys can do a piece of work in 96 hours, 2men and 8 boys can do it in 80 hours, 2men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in how many hours

such kind of questions can be tackled by this video trick

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When there are two CPs and two SPs

1. A man sells an article at a profit of 14.28%. If he had bought it at 12.5% less and sold it for Rs 70 less, he would have gained (2+ 2/49) %. Find the Initial Selling price (in rupees) of the article. ans 320 2 A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 10.50 less, he would have gained 30%. Find the cost price (in rupees) of the article. 3 A man sells an article at 5% profit. If he had bought it at 5% less and sold if for Re. 1 less, he would have gained 10%. The cost price of the article is? 4 A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.1050 less, he would have gained 30%. find the cost price of the article? 5 A man sells a book at a profit of 20%.if he had bought it at 20% less and sold it for rs 18 less,he would have gained 25%.what is the cost price of the book

These types of questions can be tackled by single video

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CAT/SSC Famous Advanced Bouncing ball geometric sequence question

1.
A ball is dropped from a height of 45 feet. Every time rebounds 2/3 of the previous Height, Find the total vertical distance travelled by ball before coming to rest.

2.
When a ball falls vertically off a table, it rebounds 75% of its height after each bounce. If it travels a total distance of 490 cm, how high was the table top above the floor?

For such kind of questions click below video trick

Find the least number which when divided by 35,45,55 leaves remainders 30,40,50.

1
Find the  least number which when divided by 35,45,55 leaves remainders 30,40,50.

2
Find the sum of digits of  least number which when divided by 35,45,55 leaves remainders 30,40,50.

3
Find the sum of digits of least number which when divided by 20,25,35,40 leaves remainders 14,19,29,34.

4
Find the  least number which when divided by 20,25,35,40 leaves remainders 14,19,29,34.


For such questions watch this below video

1 .One year ago, the ratio between A's and B's salary was 4:5. The ratio of their individual salaries of last year and present year are 3:5 and 2:3 respectively. If their total salaries for the present year is Rs 6800, the present salary of A is

2. the ratio of A's and B's income last year was 3:4 The ratio of their own incomes of last year and this year is 4:5 and 2:3 respectively.If the total sum of their present income is Rs 41600, then find present income of A.

3. The ratio of last  year income of A,B & C is 3:4:5. While the ratio of their last year income to current year income 4:5, 2:3 and 3:4.If their total current year Income is Rs 985000. Find the difference in present income of A and B.

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Average speed when distances are equal

A car travels at 60 mph on a trip and at 100 mph on return trip. What was its average speed for the entire trip? 
Solution: 

Total average speed = 2*60*100/(100+60) = 2*60*100/160 = 2*60*5/8 = 60*5/4 = 15*5 = 75 .

click below to see video trick when there are more than 2 equal distances.

1 Without stoppages a train travels a certain distance with an average speed of 50 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops?

Without stoppages a train travels a certain distance with an average speed of 50 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops?


For video solution of this question click below video