Official Quant thread for CAT 2013

A man receives a pension starting with Rs.100 for the first year. Each year he receives 90% of what he received previous year. Find the maximum total amount can receive if he lives forever.

Options

1. Rs.110

2. Rs.1000

3. Rs.1200

4. Rs.900



The sum of 0.2 + 0.004 + 0.00006 + 0.0000008 + ... is

Options

1. 200/891

2. 2000/9801

3. 1000/9801

4. none of these

puys!! help me with the questions in the attached file!!

what is the minimum eligibility for XLRI (BM, HR)?

ABCD is a parallelogram with area 8 sq cm.M and N are midpoints of side AD and BC respectively.If AN is extended to meet with CD at a point P and BM is extended to meet with CD at a point Q then the area of triangle formed with centre O will be

1)8 sqcm

2)16 sqcm

3)4 sqcm

4)none of these.

A milkman, buys pure milk and adds some water in it before selling. He sells the mixture at a price 10% less than the price of pure milk and makes a profit of 10%. Find the quantity (in litres) of water that he adds to every two litres of pure milk.

pls post ur solution. . .

How to do this ???

How many divisors of 25200 can be expressed in the form 4n + 3, where n is a whole number?


@ank_kool

Plz tell the approach for this :

No of integral solution of 5x + 8y =1000



1) 26



2) 27



3) 29



4) 25 Skip



I am getting 24?


in a TRIANGLE given AB = 10 , BC = 14 , AC = 18 , and D is on AC with BD = 10. What is the ratio AD : DC ?


PLEASE SHARE UR APPROACH




The circum circle of triangle ABC with angle A = 60 has its center at O & radius equal to 2 cm. Circle centered at O1 touches the circum circle and and also OB & OC.



The radius of the smaller circlE

a)root 3

b)root 3/2

c)root 2

d)2 root 2

Two trains, T1 and T2, simultaneously pass through a station on two parallel tracks without stopping at the station. The platform P2 passed by the train T2 is 50% more in length than the platform P1 passed by train T1. The train T1 runs at a speed of 72 kmph, while the other train is 25% slower and 50% longer. What is the ratio of the times taken by the trains T1 and T2 in passing the platforms P1 and P2 respectively?

Select one:

a. 4 : 3

b. 3 : 1

c. 1 : 2

d. 2 : 4

e. Cannot be determined

Can anyone share TotalGadha pdf for DI?

A leak in the bottom of a tank can empty it completely in 8 hours. An inlet pipe fills the tank at 5 lit/min. When the tank is full, the inlet is opened and the tank gets empty in 10 hours. The capacity of the tank is

Select one:

a. 6000 liters

b. 8000 liters

c. 12000 liters

d. 100,000 litres

e. None of the Above

How many no's from 100 to 1300 which are

1) even no's

2) not a multiple of 7 and 9 ???


mera 327 aata hai.. dunno OA

A tank can be filled in by an inlet pipe of circular cross section in 10 min. Another tank twice as big is filled in by 3 inlet pipes whose diameters are in the ratio 1 : 2 : 3. If the smallest pipe of these is four times as much in cross section as the pipe of the first tank, find the time taken to fill the second tank, [Speed of water in the second tank is half the speed of the water in the first tank].

Select one:

a. 7/5 minutes

b. 5/7 minutes

c. 13 minutes

d. 17 minutes

e. 15/4 minutes

what is the product of (3)^(1/3) * (9)^(1/9) * (27)^(1/27).......... upto infinity ???

Puys I hav the hardcopy of IMS 500 2010 edition..would it suffice?

To do a piece of work, B takes 3 times as long as A and C together, and C twice as long as A and B together. If the three together can complete the work in 10 days, how long would A alone take to do the work?

Select one:

a. 24 days

b. 30 days

c. 36 days

d. 40 days

e. None of the above

if x is a positive real number,
what is the min. value of [ (8+x)(13+x)] /(x+4)
(1)1 (2)25 (3)1/2 (4)36

ans: 25
can someone pls share the approach

hi puys....one small doubt.

How to find the area of a triangle if only given parameters are the inradius and the circumradius?
(there is a formula but I cannot recollect the same )
Thanks in advance

Two circles have their centers 21 cm apart. Radii of the circles 10,17. Length of the common chord of the two circles??
Any short method for finding the answer to the length of the common chord??