@next_big_thing : initially its a right angled traingle so it must retain its property as stated.
therefore after reducing 90 min side it will become 36 min side and applying Pythagoras theorem we will get 3rd side as 60 min so total comes out 2 be 144min.
For second question area of parking lot is initial traingle area - area new traingle.
area of first triangle is 1/2*48*90*15*15-1/2*48*36*15*15=.29 km^2.
A trader cheats by 10% while selling and cheats by 20% while purchasing .He also offers a discount of 25% at cost price.find his profit /loss percent?Please explain approach ----- in Detail .
he buys 120 instead of 100 --> 20% profit
he sells 108 instead of 120 and gives 25 disc on 120...so he sells 108 at 90
here he incurs a loss of 1800/108 = 16.66
so overall profit/loss = 20-16.66-(20*16.66/100) = 0.008% profit
seems like i made a functional mistake somewhere....what is the OA??
he buys 120 instead of 100 --> 20% profithe sells 108 instead of 120 and gives 25 disc on 120...so he sells 108 at 90here he incurs a loss of 1800/108 = 16.66so overall profit/loss = 20-16.66-(20*16.66/100) = 0.008% profit seems like i made a functional mistake somewhere....what is the OA??
This is a question from CAT 2010 paper. Can anyone plz solve it coz I am at a loss ??? -->A triangular garden is to be enclosed inside 3 straight fences. Raju started running at an uniform speed on the three sides of the proposed boundary of the garden & discovered that he was taking 48min, 102min, 90min to traverse the garden's three sides. However, in the latest colony meet, it was decided that the coverage area of the park should be reduced to accomodate a parking lot. Since the fence on the shortest boundary was already constructed, the length of the boundary covered by Raju in 90min was reduced by 60% & the longest was modified accordingly so that the park still remained triangular in shape.1) How much time will Raju take to run along the boundary of the garden thus formed? 120min, 148min, 128min, 160min, 144min2) If Raju's speed was 15metres/min, what is the approx area of the parking lot (in km^2)? 0.39, 0.28, 0.29, 0.45, 0.52Plz post the solution as well or else it wont be of any help.
ratio is the same as time covered :- 8:17:15 .... if u notice this is a right angle triangle
the side with 15 has to be reduced by 9cm , so new side would be 6m....
so 8,6 now the angle b/w two small sides would still be a right angle (this is my assumption) so that... and hence 8,6,10 so, 24*6 = 144min .... not sure..
This is a question from CAT 2010 paper. Can anyone plz solve it coz I am at a loss ??? -->A triangular garden is to be enclosed inside 3 straight fences. Raju started running at an uniform speed on the three sides of the proposed boundary of the garden & discovered that he was taking 48min, 102min, 90min to traverse the garden's three sides. However, in the latest colony meet, it was decided that the coverage area of the park should be reduced to accomodate a parking lot. Since the fence on the shortest boundary was already constructed, the length of the boundary covered by Raju in 90min was reduced by 60% & the longest was modified accordingly so that the park still remained triangular in shape.1) How much time will Raju take to run along the boundary of the garden thus formed? 120min, 148min, 128min, 160min, 144min2) If Raju's speed was 15metres/min, what is the approx area of the parking lot (in km^2)? 0.39, 0.28, 0.29, 0.45, 0.52Plz post the solution as well or else it wont be of any help.
he buys 120 instead of 100 --> 20% profithe sells 108 instead of 120 and gives 25 disc on 120...so he sells 108 at 90here he incurs a loss of 1800/108 = 16.66so overall profit/loss = 20-16.66-(20*16.66/100) = 0.008% profit seems like i made a functional mistake somewhere....what is the OA??
A trader cheats by 10% while selling and cheats by 20% while purchasing .He also offers a discount of 25% at cost price.find his profit /loss percent?
I interpreted the bold part above differently. Price instead of quantity. If quantity then your answer works.
He has to cheat by 20% on hiscost price, I took (as we know nothing about the other person's CP) so he buys 100 ka worth stuff for 80. Then he raises the price from 100 to 110 and then gives a discount of 25% coming to 82.5. So what he bought for 80 he sold for 82.5 and hence profit is 3.125% .
Answer however would be different for different interpretations. I find these questions mildly awkward and ambiguous generally, can never be sure if one's interpretation is what the question-setter intended! regards scrabbler
A trader cheats by 10% while selling and cheats by 20% while purchasing .He also offers a discount of 25% at cost price.find his profit /loss percent?I interpreted the bold part above differently. Price instead of quantity. If quantity then your answer works.He has to cheat by 20% on hiscost price, I took (as we know nothing about the other person's CP) so he buys 100 ka worth stuff for 80. Then he raises the price from 100 to 110 and then gives a discount of 25% coming to 82.5. So what he bought for 80 he sold for 82.5 and hence profit is 3.125% .Answer however would be different for different interpretations. I find these questions mildly awkward and ambiguous generally, can never be sure if one's interpretation is what the question-setter intended!regardsscrabbler
Exactly! I was getting diff answers for diff interpretations. Like If the quantity changes then answer is diff..OR if we apply (1+a%)(1+b%) then again ans changes...
Q. What is the ratio of number of divisors of N²º¹³ which lie in the range (1, 2013) to which lie in the range (N²º¹², N²º¹³) ?
Q. What is the ratio of number of divisors of N²º¹³ which lie in the range (1, 2013) to which lie in the range (N²º¹², N²º¹³) ?A. 1 : 1B. 1 : NC. 1 : N²º¹²D. 1 : N²º¹³Source: Bodhi_vriksha FB PageNo OA
since it is a general question i think we can take any value of n and solve
lets take n=2
2^2013
factors in the range of (1,2013)=2^0,2^1.....2^10=11 factors
CAT 2008 Number System question if anyone is interested :
Numbers 1 to 40 are written on board. keep erasing any two Numbers, say (a,b) and replace by (a+b-1). Exactly one number will remain after some time..what is that?
This is a question from CAT 2010 paper. Can anyone plz solve it coz I am at a loss ??? -->A triangular garden is to be enclosed inside 3 straight fences. Raju started running at an uniform speed on the three sides of the proposed boundary of the garden & discovered that he was taking 48min, 102min, 90min to traverse the garden's three sides. However, in the latest colony meet, it was decided that the coverage area of the park should be reduced to accomodate a parking lot. Since the fence on the shortest boundary was already constructed, the length of the boundary covered by Raju in 90min was reduced by 60% & the longest was modified accordingly so that the park still remained triangular in shape.1) How much time will Raju take to run along the boundary of the garden thus formed? 120min, 148min, 128min, 160min, 144min2) If Raju's speed was 15metres/min, what is the approx area of the parking lot (in km^2)? 0.39, 0.28, 0.29, 0.45, 0.52Plz post the solution as well or else it wont be of any help.
Initially sides of triangles :
90,48,102(It is a right triangle)
90 is reduced by 60%=.4*90=36
so the new triangle will have sides 36,48, _/(36^2+48^2) or 36,48,60
Raju take to run along the boundary of the garden =36+48+60=144 min
Area of parking lot=.5 *15^2 * (90*48 - 36*48) /10^6
since it is a general question i think we can take any value of n and solvelets take n=22^2013factors in the range of (1,2013)=2^0,2^1.....2^10=11 factorsin the range of [2^2012,2^2013]=2 factos only11:2no OA is matching here
I am not sure of the range values here in the question, I am assuming it to be excluding the extremities.
Again in the second bold part it may be open brackets..so 0 factors in that range.
since it is a general question i think we can take any value of n and solvelets take n=22^2013factors in the range of (1,2013)=2^0,2^1.....2^10=11 factorsin the range of [2^2012,2^2013]=2 factos only11:2no OA is matching here