Official Quant thread for CAT 2013

@sauravd2001 you can get the length of chords by formulae 6* x = 4* 17 =>

chords are of length 21 and 52/3, then use the technique to find the radius when two perpendicular chords lengths are known
@sauravd2001 said:
see the attached file i have drawn a diagramexpalination of diagram ab is chord of 21 cm divided into two parts of 4 and 21 and cd is line drawn on ab which is of 6 cm which divides ab into 2 parts of 4 and 21 what is the radius of circle answere hai 65/6 appraoch btao

extended CD to toch other on circle
4 x 17 = 6 x z
z = 34/3
ab centre se drop perepndicular u ll get d ans
@sauravd2001 said:
see the attached file i have drawn a diagramexpalination of diagram ab is chord of 21 cm divided into two parts of 4 and 21 and cd is line drawn on ab which is of 6 cm which divides ab into 2 parts of 4 and 21 what is the radius of circle answere hai 65/6 appraoch btao

how to easily calculate:

number of Prime numbers between 2 and 61

Guys help me with this.

Q) If Ramu and Krishna work on alternate days to complete a work, then the work gets completed in exactly 24 days. If R and K denote the number of days required by Ramu and Krishna respectively to complete the work independently, then how many ordered pairs of integral values of R and K are possible?
a 14
b 8
c 15
d 7
@Torque024 said:
Guys help me with this.Q) If Ramu and Krishna work on alternate days to complete a work, then the work gets completed in exactly 24 days. If R and K denote the number of days required by Ramu and Krishna respectively to complete the work independently, then how many ordered pairs of integral values of R and K are possible?a 14 b 8c 15d 7
15??
Cost of production of article €˜a €™is 66.67% of the list price, which is 120% of the selling price, after giving a discount of 20%. What is the profit/loss percentage?
(A) 20% profit (B) 20% loss (C) 25% profit (D) 25% loss (E) None of these
@Torque024 said:
Guys help me with this.Q) If Ramu and Krishna work on alternate days to complete a work, then the work gets completed in exactly 24 days. If R and K denote the number of days required by Ramu and Krishna respectively to complete the work independently, then how many ordered pairs of integral values of R and K are possible?a 14 b 8c 15d 7


12/R + 12/K = 1

12K + 12R = RK
12K = RK - 12R
12K - 144 + 144 = R(K-12)
12(K-12) + 144 = R(K-12)
(K-12)(R-12) = 144= 3^2 * 2*4 = 5*3 = 15
WE NEED ORDERED PAIR SO 15
@catter2011 said:
Cost of production of article €˜a €™is 66.67% of the list price, which is 120% of the selling price, after giving a discount of 20%. What is the profit/loss percentage?(A) 20% profit (B) 20% loss (C) 25% profit (D) 25% loss (E) None of these
LET LP = 300
CP = 2/3 *300 = 200
300 PE 20% DISCOUNT SO 240 . THIS IS 120 % OF SP
6/5 *SP =240
SP = 200

NO GAIN/LOSS
A=={0,1,4,5,7,8}
Unless stated otherwise number are formed without repetition of digits. In the following question'n' refers to the number of digits in the number being formed.

Q- with n=5 how many numbers can be formed such that the sum of three-digit number formed withe first three digits and the two-digit numbers formed with the remaining two digits is odd?

PS: don't have the OA.
@catter2011 said:
Cost of production of article €˜a €™is 66.67% of the list price, which is 120% of the selling price, after giving a discount of 20%. What is the profit/loss percentage?(A) 20% profit (B) 20% loss (C) 25% profit (D) 25% loss (E) None of these
listed price 100
cost of production - 66.67
sp. - 100*80/100*100/120 - 66.67
so none?
@catter2011 said:
Cost of production of article €˜a €™is 66.67% of the list price, which is 120% of the selling price, after giving a discount of 20%. What is the profit/loss percentage?(A) 20% profit (B) 20% loss (C) 25% profit (D) 25% loss (E) None of these
25% profit ?
@krum said:
listed price 100cost of production - 66.67sp. - 100*80/100*100/120 - 66.67so none?
isme List price 120% of SP nhi hai kya ?
@rachit_28 approach
@catter2011 said:
Cost of production of article €˜a €™is 66.67% of the list price, which is 120% of the selling price, after giving a discount of 20%. What is the profit/loss percentage?(A) 20% profit (B) 20% loss (C) 25% profit (D) 25% loss (E) None of these


Let list price be 100
CP = 66.67
SP = 10000/12 = 83.33
DISCOUNT = 0.2*83.33=16.66
COSTUMER TO BE CHARGED OF = 83.33-16.66 =66.67 = CP

So no profit no loss
Ans (E) None of these
:banghead: discount hi bhool gaya :banghead:
@catter2011 said:
how to easily calculate:number of Prime numbers between 2 and 61
@catter2011 said:
no of primes in 1- 50 = 15
then 53 , 59 , 61 = 18 ?
A mother distributes 5 different apples among 8 children.
(i) How many ways can this be done if each child receives at most one apple?

PS: Don't have the OA.
@rachit_28 said:
A mother distributes 5 different apples among 8 children.(i) How many ways can this be done if each child receives at most one apple?
8c5