Official Quant thread for CAT 2013

MBA CAT 2024
23487
@vbhvgupta said:
A bought toffee at 6 for a rupee. how many for a rupee he shd sell to gain 20%.
its jus likeur SP is 6 and you need to calculate the CP with profit percentage to be 20 so CP will be 5.. so he needs to sell 5 choclate.. as inverse hogaya hai sab..
23488
@bodhi_vriksha said:
Find the maximum value of 3x + 4y if x^2 + y^2 = 6x - 4y - 4(a) 8 (b) 9 (c) 10 (d) none of the foregoing
iss wale ka koi hint dedo.. honi raha,,,
23489
@ankitmishraiim said:
iss wale ka koi hint dedo.. honi raha,,,
Check previous page
23490
@vbhvgupta said:
when an article is sold for 703 loss incured is 25% less than the profit earned on selling it at rs 836. What is the SP of the article when it earns a profit of 20%.
CP - 703 = L
836 -CP = P

3P = 4L

solving we get CP = 760
so SP with 20% profit wil be 912
23491
@Logrhythm said:
the farthest point from the circle is that point where the tangent touches it... (by this method we get both, the max and the min value)(x-3)^2 + (y+2)^2 = 3^2 is our equation of the circle with center at (3,-2) and radius = 3using distance from center = radius|{3*3 + 4*(-2) - k}|/rt(3^2+4^2) = 3+/- (1-k) = 1514 =hence max is 16....or by cauchy inequality..we have (x-3)^2 + (y+2)^2 = 9{(x-3)^2 + (y+2)^2}(3^2+4^2) >= (3(x-3) + 4(y+2))^225(x^2+y^2-(6x-4y-4)+9) >= (3x+4y-17)^225(x^2+y^2-(x^2+y^2)+9) >= (3x+4y-1)^225*9 >= (3x+4y-1)^23x+4y-1 =3x+4y =copied from one of my previous posts...
23492

a trader sold an article at a los of 5% but when he increased the SP by 65 he gained 3.33% on the CP. If he sells the smae article at 936 what is the profit %.

23493
@vbhvgupta said:
a trader sold an article at a los of 5% but when he increased the SP by 65 he gained 3.33% on the CP. If he sells the smae article at 936 what is the profit %.
20%

(And yes orally)
65 = 8.33%
So 100% = 65 * 12 = 780. So profit = 156/780 = 1/5

regards
scrabbler
23494

@vbhvgupta said:
a trader sold an article at a los of 5% but when he increased the SP by 65 he gained 3.33% on the CP. If he sells the smae article at 936 what is the profit %.

20%
23495
@vbhvgupta said:
a trader sold an article at a los of 5% but when he increased the SP by 65 he gained 3.33% on the CP. If he sells the smae article at 936 what is the profit %.
and increment of total 8.33% or 25/300 by increasing 65 means,... the base vlue wil be 780.. so CP is 780 so with SP as 936 profit% =20%
23496
@vbhvgupta said:
a trader sold an article at a los of 5% but when he increased the SP by 65 he gained 3.33% on the CP. If he sells the smae article at 936 what is the profit %.
20%?
23497
@vbhvgupta said:
a trader sold an article at a los of 5% but when he increased the SP by 65 he gained 3.33% on the CP. If he sells the smae article at 936 what is the profit %.
bees parteeshat...
23498
@Logrhythm said:
bees parteeshat...
parteeshat ni hota ... prateeshat hota hai..

23499
A student selects all rearrangements of the letters of the word SACHIN in which the vowels appear together. These words are then arranged in alphabetical order. What is the rank of SIACHN in this game?
1. 649
2. 215
3. 211
4. 193


PS i dont know the OA...
23500

for what value of K would the equation |2x-1| + |X+2| = k will have a single solution?

23501
@Bigshu said:
for what value of K would the equation |2x-1| + |X+2| = k will have a single solution?
1/2? The minimum point basically.

regards
scrabbler
23502
@Dexian said:
A student selects all rearrangements of the letters of the word SACHIN in which the vowels appear together. These words are then arranged in alphabetical order. What is the rank of SIACHN in this game?1. 6492. 2153. 2114. 193PS i dont know the OA...
91?
23503
@ankitmishraiim said:
91?
above 4 hi option me the.......
23504
@Dexian said:
above 4 hi option me the.......
but i got this... thats y confused.. isiliye "?" dala tha... sry..

23505
@scrabbler and at -2 as well
the reason being both are critical points
But is k=2 possible???

23506
@ankitmishraiim said:
but i got this... thats y confused.. isiliye "?" dala tha... sry..
Mera kuch 223 ke asspas aa raha hai 😞 rechecking

regards
scrabbler