halo puys...my 1st one over here.... a group of 1000 students went to "1000 Duars", on a trip. The first student opened all the 1000 doors of the palace. the 2nd student flipped evry 2nd door to its opposite position (i.e. if it is opened, it was flipped to a closed state). The 3rd student did the same to every 3rd door. The 4th to every fourth and so on till the 1000th student comes and does the same.. The question is:- How many doors will remain "opened" at the end???
Sol:- Door Numbers which have Odd number of factors will be open. Because only if the operation is done odd number of times the door is open. Open ( 1 time ) open--> close --> open ( 3 times ) open--> close --> open --> close --> open (5 times) We know that only perfect squares have odd number of factors. Therefore the number of perfect squares from 1 to 1000 are 1,4,9,16.....961. 1^2,2^2,3^2,4^2,......., 31^2 Therefore 31 doors will be open at last...!!!!
Was desperately looking for such thread.. Only basic will help to crack Quant section..You have given me chance to open my basic booklet of time once again..
Hopefully by June we will complete the basics and then can switch over to Mock Cat :cheers:
is it 1rs/kg the original price of sugar and .1 is the reduction price???? Plz confirm the answers Thanks and regards ailuroph0bic..... PS if they r correct i wl xplain them....
Guys I think we should have a planner each month, posting questions randomly wont help anyone who is an amateur. This month lets start with one section of Arithmetic say - Percentages and ratio proportion. I will start posting theory on Percents and then we will follow up with increased level of difficult questions from cat.By Feb end we can jump to next topic.
Guys I think we should have a planner each month, posting questions randomly wont help anyone who is an amateur. This month lets start with one section of Arithmetic say - Percentages and ratio proportion. I will start posting theory on Percents and then we will follow up with increased level of difficult questions from cat.By Feb end we can jump to next topic.
Guys I think we should have a planner each month, posting questions randomly wont help anyone who is an amateur. This month lets start with one section of Arithmetic say - Percentages and ratio proportion. I will start posting theory on Percents and then we will follow up with increased level of difficult questions from cat.By Feb end we can jump to next topic.
Agree with Diptam...... As even i have started with my preparations and being from a non math background i want to go topic by topic so that can prepare and do the homework along........ Carry on Diptam..........
Agree with Diptam...... As even i have started with my preparations and being from a non math background i want to go topic by topic so that can prepare and do the homework along........ Carry on Diptam..........
List of first 20 fractions and their respective percentages, Kindly try to memorize them as we will be using them in both quant and DI. Will be posting questions shortly
List of first 20 fractions and their respective percentages, Kindly try to memorize them as we will be using them in both quant and DI. Will be posting questions shortly
thanx for posting fractions bt cn u plzz tell me where n hw v cn use them
The cost price of four articles A, B, C and D are a, b, c and d respectively. A, B, C and D are sold at profits of 10%, 20%, 30% and 40% respectively. If the net profit on the sale of these four articles is 25%, a, b, c and d cannot be in the ratio (a) 4 : 1 : 4 : 3 (b) 1 : 2 : 2 : 1 (c) 2 : 3 : 6 : 1 (d) 5 : 2 : 7 : 3
In a number of topics we encounter the relationship where the product of two quantities equals the third quantity. For example Speed*Time = Distance Number of persons*Days = Work Done If we generalize product stability ratio, it can be written like A*B = P. Now if A is increased by a certain percentage, then B is required to be decreased by certain percentage so that the product (P) remains stable. For example if we increase A by 25% and P has to constant, then B is required to be decreased by 20%. Change in A-----Change in B-----Change in P 100%----------------50%-------------0% 50%-----------------33.33%----------0% 33.33%--------------25%-------------0% 25%-----------------20%-------------0% 16.66%--------------14.28%----------0% 14.28%--------------12.50%----------0% 12.50%--------------11.11%----------0% 11.11%--------------10%-------------0%
So if A is increased by 50% then we need to decrease B by 33% to maintain the product stability of P. Q1. If A is 25% more than B, then by how much percentage B is less than A? Sol: - Normal method Lets assume B = 100, then A = 125, hence B is 25 less than A. So B as percentage of A = (25*100)/125 = 20%. But by using above chart for Product stability formula, we know that If A is 25% more than B, then B is 20% less than A to maintain the above stability. We can directly mention it as 20%. Q2. When speed of a car is increased by 25%, time taken is decreases by 20 mins in covering a certain distance. What is the actual time taken to cover the same distance by actual speed? Sol: - Since speed has been increased by 25%, so time will be reduced by 20%. Now 20% time = 20 mins, hence total time will be 100 min. Q3. 20 men can do some job in 50 days. In how many days will 25 men do the same job? Sol: - Using work done = Number of Persons * Number of days Work = 20*50 = 1000 Now , 1000 = 25*D, so D=40.
The cost price of four articles A, B, C and D are a, b, c and d respectively. A, B, C and D are sold at profits of 10%, 20%, 30% and 40% respectively. If the net profit on the sale of these four articles is 25%, a, b, c and d cannot be in the ratio (a) 4 : 1 : 4 : 3 (b) 1 : 2 : 2 : 1 (c) 2 : 3 : 6 : 1 (d) 5 : 2 : 7 : 3
The cost price of four articles A, B, C and D are a, b, c and d respectively. A, B, C and D are sold at profits of 10%, 20%, 30% and 40% respectively. If the net profit on the sale of these four articles is 25%, a, b, c and d cannot be in the ratio (a) 4 : 1 : 4 : 3 (b) 1 : 2 : 2 : 1 (c) 2 : 3 : 6 : 1 (d) 5 : 2 : 7 : 3
ans is 4th. just check by options take the first optiion .take values as 40 10 40 30 and thir S.P are 44 12 52 42 So Cost price is 120 and selling price is 150. the overall profit is 30/120*100=25% similarly check with the other option .....
Hey, a very useful thread..... thanks puys.:clap:.