Official Quant thread for CAT 2013

which sentence is correct:


a he runs a bussiness (or) b. he run a bussiness.

Let P(x) be a polynomial with integer coefficients such that P(17)=10 and P(24)= 17 . It is further know that P(n)= n+3 has two distinct integer solutions a and b. Find a.b
10, 220, 418, 190, 48

the following table provides details of 4200 people who participated in a poll.the first no. in each cell is the no. of people who participated from that city in the poll. the minimum and maximum age of the person in each group is given in brackets.( for example, in mumbai there is atleast 1 person whose age is 25 years and 1 person whose age is 60 years and both of them answered query 1.
TABLE:
Query Mumbai Delhi Kolkata Chennai Total
1. 300(25,60) 268(18,50) 244(20,51) 278(22,62) 1090
2. 312(17,53) 289(20,61) 290(23,38) 260(15.44) 1151
3. 292(18,63) 260(20,46) 280(16,65) 350(21,58) 1182
4. 325(21,55) 302(19,49) 340(19,66) 320(26,68) 1287
1112 998 1063 1027 4200
note that no person belonged to more than 1 city and a person might have answered more than 1 query.
Q. What is the minimum no. of persons from the 4 cities together who answered more than 1 query?
A) 172 B) 510 C) 176 D) 169
PLEASE PROVIDE A DETAILED EXPLANATION ALONG. @saketkumar @Dazed-Confused AND OTHERS.

A and B start swimming simultaneously from two points P and Q respectively, on a river towards each other. A crosses a floating cork at a point S and B crosses the floating cork at a point T which is at a distance of 8 km from point S. A and B cross each other at a distance of 2 km from T. It is given that the direction of flow of the river is from P to Q and in still water, the ratio of speeds of A and B is 3 : 1. P, S, T and Q ( in that order) are on the same straight line and assume that A, B and the floating cork move along that line.


If PQ = 100 km, then find the distance between the floating cork and A when A reaches Q.


a)11 b)12 c)13 d)14

Is there a good way to do this sum? The solution uses lots of equations and variables.

A lady buys goods worth Rs.200 from a shop.(shopkeeper selling the goods with zero profit)..The lady gives him 1000 rs note.The shopkeepr gets the change from the next shop and keeps 200 for himself and returns Rs.800 to the lady...Later the shopkeepr of the next shop comes withthe 1000 rs note saying "duplicate" and takes his money back...


How much LOSS did the shopkeepr face.?

While playing with numbers, John had a two-digit number in some base other than 10 written in front of him. He noticed that the ratio of the actual value of that number in decimal and the value if he had considered that number to be decimal was 3:4. If he started counting all the two-digit numbers that satisfied this condition, how many such numbers did he find?

M workers started a job. The mth worker can do m units/day. After the mth day of the job, for all m where 1 m M, the mth worker left. The job was completed when the Mth worker left. The job to be done was of magnitude 204 units. Find M.


Option are A (7) B(8) C(9) D(10)


Please provide explanation also.

How can i view questions that i have marked up as "favorite" ? lookround

What is the sum of the coefficients of the polynomial
(x − 2)^6( x − 4)^2 + (x +1)^3 (x − 2)^3 +( x +1)^2( x − 4)^3 ?

@Dazed-Confused kindly look into the this problem.


Directions for Questions 5 to 7: Answer the Questions on the basis of the information given below.

The chart below shows the production (in million units) of a tube-light manufacturer 'Chanda' from 1991 to 2001. The production graph was designed taking 5 consecutive years from 1991 to 2001. The overall production in this period is also shown: Figure Attached.


Questions -

5) How many units of tube-light did 'Chanda' produce in the period from 1997 to 2000?

1. 146 lakh 2. 148 lakh 3. 1083 lakh 4. 1480 lakh


6) What could be the maximum possible production (in million units ) of tube- light s by 'Chanda ' in the year 1995?

1. 160 2. 137 3. 121 4. 105


7) Which of the following information's, if provided in addition to the graph above, will enable one to find the production of unit s of tube- lights by 'Chanda' in each year from 1991 to 2001 .


1. Absolute production in each of the years 1992,1995 and 1999

2. Absolute production in each of the years 1992,1993 and 1997

3. Absolute production in each of the years 1994,1995 and 1996

4. Absolute production in each of the years 1991,1992 and 2000

... @ralins @saketkumar @JanardanJakad @Dexian @psk.becks @pratyush9811 @SatadeepBiswas @td_bouncer amanhota ..all u quant gods...kab hain D day????

A bag contains 6 white and 4 red balls. Three balls are drawn one by one with replacement. What is the probability that out of the three drawn, 2 balls are white and 1 is red?


plz explain this.........


ABCD is a rhombus and P is equidistant from A and C. If PB = 8 cm, PD = 2 cm and PA = 5 cm, then find AD.

if x/y=2/5,then find (2x+3y)/(3x+7y)



If three squares of smallest size are chosen at random on a chessboard , then the chance that they are in any of the diagonal line is...
-@A

The sum of the first 50 terms of the series is...
(1/1+rt3) + (1/rt3+rt5) + (1/rt5+rt7) + ...
-@A

The mean of 1 , 2 , 2^2 , 2^3 , ... 2^15 lies between...
a) 2^10 and 2^11
b) 2^11 and 2^12
c) 2^8 and 2^9
d) 2^12 and 2^13
-@A

@garry1337

ďťżTwo 1 x 1 squares are selected at random on a 8 x 8 chessboard. What is the probability that the squares thus selected have a common side?



1 answer 1) 1/18



0 answers 2) 1/16



1 answer 3) 1/4



0 answers 4) 1/12



answer will be 1/18
as the two 1X1 squares can be selected from 8X8 chessboard in 64C2 ways
and total no. of combination of two 1X1 squares having a sde common will be 7 in each row
so total of 56 in 8 rows

and thus 56x2 in 8 rows and 8 columns of chessboard.

so, answer will be 1/18.

I hope this is correct.😁
if not plz let me know.....😟

mukesh,suresh and dinesh travel from delhi to mathura.they have a bike which can carry only two riders at a time.bike can be be driven only by mukesh.mathura is 300 km from delhi.all of them can walk at 15km/hrs.all of them start their journey from delhi simultaneuosly and are required to reach mathura at same time.if the speed of the bike is 60km/hr then wat is the shortest possible time in which all three can reach mathura at the same time.

a.58/7

b.65/7

c.10

d.none of these



APPROACH PLS

If n is a natural number, which of the following can be the remainder when 164n is divided by 1020?

1

1019

256

766