Official Quant thread for CAT 2013

In a survey it was found that 80% of viewers watches DD, 60% watches BBC and 75% watches Star Plus.

1-What is the minimum percentage of the viewers watching all the three channels?


2-

What is the maximum percentage of viewers watching DD or BBC but not Star Plus?


@PURITAN

In a survey it was found that 80% of viewers watches DD, 60% watches BBC and 75% watches Star Plus.



1-What is the minimum percentage of the viewers watching all the three channels?



2-



What is the maximum percentage of viewers watching DD or BBC but not Star Plus?



minimum percent is 60 ..

The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?


plz post solution

  • 6
  • 2
  • 3
  • 4
  • 5

0 voters

Triangle ABC has area area[ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Qand R are defined such that P is the incenter of AEF, Q is the incenter of BFD, and R is the incenter of CDE. What is area[DREPFQ]?

@AkshatJain

Triangle ABC has area area[ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Qand R are defined such that P is the incenter of AEF, Q is the incenter of BFD, and R is the incenter of CDE. What is area[DREPFQ]?



Chk the attached pic.

ABCDEF is a regular hexagon. Points P and Q are on AB and CD respectively such that AP/BP = CQ/QD = 3. What is the ratio area(BPQC)/area(ABCDEF)?


Please solve this guys 😠😠:-

If sinA + (sin^2)A + (sin^3)A = 1
Then find
(cos^6)A - 4(cos^4)A + 8(cos^2)A

Two typists undertake to do a job. The second typist begins working one hour after the first. Three

9

hours after the first typist has begun working, there is still

of the work to be done. When the

20

assignment is completed, it turns out that each typist has done half the work. How many hours would

it take each one to do the whole job individually ?

plz help...

  • 8 hr and 5.6 hr
  • 5hr and 4 hr
  • 10 hr and 8 hr
  • 12 hr and 8 hr

0 voters

@ishu1991

ABCDEF is a regular hexagon. Points P and Q are on AB and CD respectively such that AP/BP = CQ/QD = 3. What is the ratio area(BPQC)/area(ABCDEF)?



In a parallelogram ABCD, the bisector of angle ABC intersects AD at a point M. IF MD = 5 cm, BM = 6 cm and CM = 6 cm, then the length of AB(in cm) is

@AkshatJain

You're quietly sitting by a street one day, enjoying the sun, when you notice a speeding car traveling at 20 m/s down the street. The driver notices that there's a stop sign in the street and hits the brakes 40 m before the stop sign, coming to a stop right at the sign itself. What is the coefficient of friction between the car's tires and the road?



Help me out!

.2

The midpoints of the sides AB, BC, CD, DA of the parallelogram ABCD are E, F, G, H respectively. Each midpoint is joined to the two vertices not on its side. What is the ratio of the area outside the resulting 8-pointed star to the area of the parallelogram?

1) 1/3

2) 2/5

3) 3/8

4) 2/3

@jibi.abraham

1) 8



2) 6



3) 4



4) 9 Skip



×

The answer should be 3 coins....girls will give 2 coins to boys and get a coin in return, thereby accounting of a net transaction of Re. 1 from girls to boys.


let there be 7x and 3x boys and girls respectively. the amount with them = 3.5x and 2.25x respectively. the difference = 1.25x = Rs. 3.75 (given)

Thus, x=3 >> boys=21, girls=9

before transaction,amount with

boys=10.5, girls=6.75

As per condition, a transfer of Re. 1 will make amount with boys double the amount with girls.

after transaction, amount with

boys=11.5, girls=5.75


PS : i am new here. kindly highlight mistakes, if any 😃

@ishu1991

ABCDEF is a regular hexagon. Points P and Q are on AB and CD respectively such that AP/BP = CQ/QD = 3. What is the ratio area(BPQC)/area(ABCDEF)?



@ishu1991 My approach attached. Bit different. 😛 please check if ok? @JanardanJakad @Dazed-Confused @techsurge @heylady @yasaswy89

The distance AB is 12. The circle center A radius 8 and the circle center B radius 6 meet at P (and another point). A line through P meets the circles again at Q and R (with Q on the larger circle), so that QP = PR. Then the length of QP is



Q: Find the remainder when 23574^(1^2 + 2^2 + 3^2 ..... +77^2) is divided by 5

a) 2
b) 4
c) 1
d) 3

Q) If S = 1/40 + 1/88 + 1/154 ..........+ 1/59290 which of the following best describes (49)S ?

(a) 3.1

(b) 3.5

(c) 4

(d) (49)S > 5

Q) what is the remainder when 7^123 + 9^123 divided by 64 ?

a) 56
b) 48
c) 8
d) 24

Q) If x, y, z are integers , and |x-3| + |y-5|+ |z-7| = 3 , then find the maximum possible value of (x+3)(y+5)(z+7)

a) 1260
b) 1082
c) 1176
d) 1155