Official Quant thread for CAT 2013

half of the volume of petrol and kerosene mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by replacement method.while the mixture of ratio 7:5 was formed from mixture of 3:7 by adding the kerosene in it.if 240 litres petrol is required in the replacement process,what is the amount of kerosene was added to prepRE THE MIXTURE OF 7:5???? @Kurama8080 , @cristianokaka

Hey @sagarcat Please see this done it neatly in a sheet. Please see where i am going wrong.

There are how many four digits numbers abcd are possible such that a≥b≥c≥d

a. 494 b. 495 c. 714 d. 715 e. NoT

70% of the students who joined xyz last year play football, 75% play cricket, 80% play basketball and 85% play carrom. what is the minimum percentage of students who play all four games? (Post xplanation if possible):
10
20
30
40

How many composite numbers between 1 to 10000 have prime numbers of factors?


😁

N is a four-digit number beginning with 1 that has exactly two identical digits. How many such numbers are there?

2, 9, 32, 87,___, 387

Four dice are thrown simultaneouly . find the probability two of them show the same face and remaining two show different faces...........give me full and easy explanation

Hi guys. i really need an urgent favour. I have applied for xat. NOw i have to apply in xlri for courses.But they are asking for the priority of courses. cCan u pls tel me whih courses can be prioritised and in what order. the courses are Business Management, Human Resource Management, General management and Fellow programme in manaement?

Pls resond asap as today is the last date for applyin to xlri.

Q.10) How many such pairs of letters are there in the word EXPRESSION which have as many letters

between them in the word as in the alphabet?

(1) Four (2) Five

(3) Three (4) Two

(5) None of these

F(x) is a fourth order polynomial with integer coefficients and no common factor. The roots of F(x) are −2, −1, 1,

2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all values of p is

A police inspector spots a thief standing 7 km away

from him on a straight road aligned in East-West

direction. The inspector is standing on the eastern

side while the thief is on the western side of the road.

On spotting the inspector the thief takes his bicycle

and tries to cut across the adjoining field by riding

away with a uniform speed of 9√2 km/hour in a

direction making an angle of 45° with the road

towards North-East. The inspector starts with his

scooter at the same instance to move with a uniform

velocity15 km/hour and catches the thief.

Time taken by the inspector to catch the thief is? share method


. In a quadrilateral ABCD, BC = 10, CD = 14,

AD = 12 and ∠CBA = ∠BAD = 60°. If AB = a + rt(b) ,where a,b are positive integers the a+b = ?




What does this symbol mean? (forgot the high-school funde of functions)

the income of the broker remains same though the rate of commission increased from 4% to 5%.
The % slump in business?
1% 8% 20% 80%

. If x = (9 + 4rt5 )^48 = [x] + f, where [x] is defined as

integral part of x and f is a faction, then x(1 - f )

equals?


The scheduling officer for a local police

department is trying to schedule additional

patrol units in each of two neighbourhoods –

southern and northern. She knows that on any

given day, the probabilities of major crimes and

minor crimes being committed in the northern

neighbourhood were 0.418 and 0.612,

respectively, and that the corresponding

probabilities in the southern neighbourhood

were 0.355 and 0.520. Assuming that all crime

occur independent of each other and likewise

that crime in the two neighbourhoods are

independent of each other, what is the

probability that no crime of either type is

committed in either neighbourhood on any given

day? share approach?

There are four machines in a factory. At exactly 8

pm, when the mechanic is about to leave the

factory, he is informed that two of the four

machines are not working properly. The

mechanic is in a hurry, and decides that he will

identify the two faulty machines before going

home, and repair them next morning. It takes him

twenty minutes to walk to the bus stop. The last

bus leaves at 8:32 pm. If it takes six minutes to

identify whether a machine is defective or not,

and if he decides to check the machines at

random, what is the probability that the

mechanic will be able to catch the last bus?

The price of the sugar increased by 32%. a family reduces its consumption so that the ex of sugar is up by 10% only. if the tot consumption before the price rise was 10 kgpm then the consumption of sugar per m at present is___________kg
8 1/3 8 1/2 8 3/4 9

Consider a square ABCD of side 60 cm. lt contains

arcs BD and AC drawn with centres at A and D

respectively. A circle is drawn such that it is

tangent to side AB, and the arcs BD and AC. What

is the radius of the circle?