Official Quant thread for CAT 2013

MBA CAT 2024
29646
@Subhashdec2 what are the 2 formations.....do one thing name the points as ABCDEF and explain the two formations
29647
@vishcat said:
@Subhashdec2 what are the 2 formations.....do one thing name the points as ABCDEF and explain the two formations
the red and black triangle
29648
@shattereddream said:
How many seven-digit numbers divisible by 11 have the sum of their digits equal to 59?1)40 2)55 3)34C3 — 23C2 4)38C3 — 26C2 5)None of these
7*9=63

so atleast we need to have 3 9's

a+b+c+d+e+f+g=59
a+b+c+d=32
999 9995-7
999 9986-42
999 9977-21
999 8888-35
999 9887-105



a+b+c+d+e+f+g=59
a-b+c-d+e-f+g=11k[11 or 22 or 33]

k=0 or 2 will give a+c+e+g as 59/2 or 81/2 which is not possible
and we can take k to be at max 4
since max difference of odd and even places can be 9*4-0=36


a+c+e+f=35/41

41 is not possible

a+c+e+g=35

only possible solution is 9 9 9 8[so all cases with atleast 39's and atleast 1 8 can be divisible by 11]

case 1
999 9995
not possible

case 2
999 9986
aceg can be arranged in 4!/3!
bdf will be 9,9,6 3!/2!=3
12


case 3
999 9977
not possible

case 4
999 8888
aceg can be arranged in 4 ways
bdf [8,8,8] in 1 way
4


case 5
999 9887
aceg 4 ways
bdf [9,8,7] 3!=6
24


total
24+4+12=40
29649
@shattereddream said:
How many seven-digit numbers divisible by 11 have the sum of their digits equal to 59?1)40 2)55 3)34C3 — 23C2 4)38C3 — 26C2 5)None of these
Let the no be, (9-a)(9-b)(9-c)...(9-g)
Where the terms (9-a)...represent the digits

Now, 9-a + 9-b ....9-c = 59
=> a+b+c+d+e+f+g = 4

Also, 9-a+9-c+9-e+9-g-9+b-9+d-9+f = 11,22,33
=> (b+d+f) - (a+c+e+g) = 2, 13, ...
=> 2(b+d+f) = 6 OR (b+d+f) = 3

b+d+f = 3
Total = 5C2 = 10 ways

And, a+c+e+g = 1
Total = 4C3 = 4 ways

Total = 10*4 = 40 ways
29650

albiesriram

q24. a- 2+_/3
29651
@shattereddream said:
How many seven-digit numbers divisible by 11 have the sum of their digits equal to 59?1)40 2)55 3)34C3 — 23C2 4)38C3 — 26C2 5)None of these
OA is 40
29652
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 .
29653
@Asfakul said:
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 .
profit of 3.125??
29654
@Asfakul Let the net amount for the trade i.e. CP = 100.

Cheats by 20% on purchase => Actual CP = 80
Cheats by 10% while selling => SP = 110
Discount of 25% on CP => Net SP = 110-25 = 85

% profit = 5/80*100 = 6.25%

OA?
29655
@arsharora said:
profit of 3.125??
Nope
29656
@furious_chap said:
@Asfakul Let the net amount for the trade i.e. CP = 100.Cheats by 20% on purchase => Actual CP = 80Cheats by 10% while selling => SP = 110Discount of 25% on CP => Net SP = 110-25 = 85% profit = 5/80*100 = 6.25%OA?
@Asfakul said:
Nope
29657

Asfakul

loss of 1%.... oa kya hai
29658
@Asfakul said:
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 .
no profit or loss...

Let the cp be rs 100/kg
so he gets 1.2 kg for rs 100


Now he offers 25% discount on cp
so sp/kg= rs 75/kg
but he sells only 900 grams instead of 1 kg
c.p of 900 gms= 100/4*3= 75 ( 1.2kg for 100, 300 gm for rs 25, 900 gm for 25*3)

ergo
29659
@Asfakul said:
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 .
44% profit?
29660
@Asfakul said:
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 .
0???? no loss no gain
29661
@Asfakul said:
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 .
let the person from whom trader is purchasing sells it at x
he purchases it in y
x-y/y =1/5
6y=5x
y=5/6 x
y=0.833x

he sells it at z
z-x/x=1/10
z=11x/10
z=1.1x

offers a discount of 25% so actual SP for trader=0.75*1.1x=.825x

0.833-.825/.833 = 0.005/.83=0.96% loss??
29662
@Asfakul said:
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 .
1 % is it ??
29663
@shattereddream no profit no loss
29664
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, 144min

2) 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, 0.52

Plz post the solution as well or else it wont be of any help.
29665
@Asfakul said:
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 .
8.3 % profit?