Official Quant thread for CAT 2013

8 men & 10 women are working together on a job and can complete it in 10 days. The work done by each women is 4/5 th of the work by each man. In how many days 10 men alone complete the same work?

There are 2 machine. The capacity of the first machine is 20% less than the second one. The 1st machine operated for 5 hours where as the 2nd one operated for 4 hours & together they machined 3000 work pieces. Find the number of work pieces machined by the first machine.

please solve ! ans is (4)

post the solution !

Prakash purchased some books of Physics, Mathematics and Chemistry to distribute among the children in an orphanage. Each of the Physics books was priced at 120, that of Mathematics at 100 and that of Chemistry at 150. The number of Physics books was more than that of Chemistry but less than that of Mathematics. If the amount paid for purchasing the books was 1,800, then which of the following could be the number of books purchased?


A. 15 B. 18 C. 21 D. 24 E. 12

next number in the sequence 24,30,36,42,52,60,?

a.76 b.90 c.58 d.68



plz ASAP

In an isosceles triangle ABC where AB = AC, two points D and E are chosen on AB and AC such that AD : DB = AE : EC = 1 : 2.
Also a point F is chosen on DE such that DF : DE = 2 : 3.
What is ratio of area of triangle ADE and triangle BFC?

the radius of circle with center O is root 50 cm.A and C are 2 points on circle ,B is point inside the circle .the length of AB is 6 cm,and length of BC is 2 cm.ABC is right angle.find OB^2

There is an increasing sequence of positive integers, an+1 = an+2 – an for all n β‰₯1, where an denotes the nth term of the sequence.

If the 7th term of this sequence is 120, what is the 9th term of this sequence?

A Carpenter has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?

A. > 8.00 feet and ≀ 8.20 feet

B. > 8.21 feet and ≀ 8.40 feet

C. > 8.41 feet and ≀ 8.60 feet.

D. > 8.61 feet and ≀ 8.80 feet

E. > 8.81 feet and ≀ 9.00 feet

@Shubh.i >>zamana hogya h tumare quant session ko hue πŸ˜‰πŸ˜‰

501 different letters are placed inside 501 different envelopes. If for every letter there is a corresponding pre-addressed envelope, what is the probability that exactly 4 out of these 501 letters are placed incorrectly ?? @ahsish9virgo @cristianokaka have you solved this b4


Mr. Meter was going from Kashmir to Kanyakumari by his car. When he started his journey the odometerof his car showed a reading of 00000 km. On the way Mr. Meter realized that the odometer of his car wasnot functioning properly and displayed 'Ξ΄' in between 4 and 5 (i.e. after 34, first it showed 3Ξ΄ and then 35).Odometer of the car at the end of journey showed a reading of 009Ξ΄5 km. Find the distance traveled by Mr.Meter during the entire journey
.A. 1149 km
B. 594 km
C. 1171 km
D. 1271 km
E. 716 km

Peculiarities of 'Chalata- Firata' tribe are: neither an outsider can enter nor a resident can leave the tribe andno one dies unless he/she is killed by someone else in the tribe. There are exactly seven beggars in the tribe.Three of them are notorious criminals and killers; they rob and kill those who give alms to at least one ofthem on the same day. Rubbagubba, a resident of the tribe, gives alms to exactly three of the seven beggarson 23rd of a month. What is the probability that Rubbagubba would not be alive on 24th of the month if there is no other killer in the tribe except the three?

Seven one day matches are to be played between India and Australia in an ODI series. In a single match probability of India winning is 5/9. The result of each of the matches will always be conclusive i.e. there willbe no draw and the team winning at least 4 matches out of the 7 will be the winner of the series. Find the probability that India will win the series

Sides of a triangle are a^2 + a + 1, 2a + 1 and a^2-1, where 'a' is an integer. What is the largest possible angle of such a triangle?

In how many ways 15 books divided equally among 1) 3 boys and into 2) 3 parcels.

On a leisure trip to Las Vegas, Rashmi went to a casino where she decided to play a game of rolling threeunbiased die simultaneously.
Rules of the game were as follows:
(i) Participation charge was Rs.200.
(ii)The amount paid to a participant at the end of each round was associated with the price factor(p),given as: p=|(x-3)(Y-1)(Z-1)|βˆ’βˆ’βˆ’where x, y and z are numbers turned up while rolling the die.
If p≀2, Rs.300 was paid, else no amount was paid.What is the probability that Rashmi will make a profit?
A. 45.83%
B. 44.44%
C. 41.67%
D. 45%
E. None of these

Let g(a, b) be a function defined on the set of positive integers such that g(2, 2) = 2
g(a + 1, b) = g(a, b) + 2a
g(a, b + 1) = g(a, b) – 2b
for all positive integers a and b.
Find g(1007, 1006).
A. 2014
B. 2012
C.–2014
D.–2012
E. None of these

The chance of India winning a cricket match against

Australia is 1/6. What is the minimum number of

matches India should play against Australia so that

there is a fair chance of winning at least one match?


If x = (9 + 4 sqrt5)^48 = [x] + f , where [x] is defined as integral part of x and f is a fraction, then x(1-f) equals,

A. 1
B. Less than 1

C. More than 1
D. Between 1 and 2

E. None of the above

provide the approach along with the answer pls..