Official Quant thread for CAT 2013

if f(x,y)= | x+y| if g(x,y)= |x-y | h(x,y)= | xy | i(x,y) = |x/y|


f(x,y)=g(x,y)=h(x,y)=i(x,y) then (x,y)=?

(0,1)
(1,0)
(0,0)
NOT

What is the remainder when 45! is divided by 47?

What is the remainder when 45! is divided by 47?

if f(x,y)= | x+y| if g(x,y)= |x-y | h(x,y)= | xy | i(x,y) = |x/y|

if f(x,y)


xy> 0

x+y> 0

x+y

x>y


Mr. Prasad had 5 children named A, B, C, D& E. In how many different ways can the sequence of their birth be possible if B and C are both elder than A? (Assume that no two are twins)



How many unordered pair can be formed from the number 323 such that the two integers in the pair are co-prime and add up to 323?

A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate?


can anyone solve this..???

😠😠


(a)$110 million

(b)$120 million

(c)$130 million

(d)$140 million

(e)$150 million

a mixture of 125 gallons of wine and water contains 20% water. how much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture

  • 8.5gals
  • 6.66gals
  • 8.33gals
  • 8 gals
  • 10gals

0 voters

If f(x, n) =, then the probability of choosing a value of x lies between 1 to 100 so that f(x, 10)


A. 7/100 B. 25/100 C. 7/25 D. 29/100 E. 3/10

guys!! does [1.4]=[-1.4] implies same????i need to clarify this concept.....can any help me understanding above concept better?

Of 140 people who drink atleast one of tea, coffee or pepsi, 70 drink exactly two drinks but not the third. If the number of people who drink tea is 100 and the number of people who drink coffee is 80 and the number of people who drink pepsi is 50, find the number of people who drink all three.

There are 2 concentric circles. A man runs at speed 60 km/hr from point A on outer circle to B on same circle such that his run is tangent to inner circle for 50 minutes. Find radius of outer circle.a) 25√2b) 40c) 60d) 30√2

whai is the effective way of solving qn:5^36,10^51,17^35,31^17


arrange in increasing order

How many unordered pair can be formed from positive numbers such that the two integers in the pair are co-prime and add up to 323?


@placiddisciple @jasneetdua @SatadeepBiswas

The two opposite vertices of a square are (–1, 2) and (3, 2). Find the coordinates of theother two vertices.

please help in this

Find the centre of a circle passing through the points (6, – 6), (3, – 7) and (3, 3).

@mayankmundra64 @SatadeepBiswas also help in this

f(x) is a 6th degree polynomial. The roots of f(x) = 0 are 2, -1, 0, 3 , -2, 1. What is the greatest number by which f(a) is always divisible by for all values of a?(a) 24(b) 120(c) 360(d) 720-

If a is one of the roots of x^5-1=0 and a is not equal to 1 then what is the value of a^15+a^16+a^17+.......+a^50?


1
5a
35
NOT

Ifa2 +b2 =1,c2 +d2 =1and ac+bd=0,wherea,b,c and d are real numbers,then what is the value of a2 + c2?

(a) 2 (b) 1 (c) 0 (d) Cannot be determined

A contractor agreed to finish a piece of work in 150 days. He employed 75 men and made them work

for 8 hours per day. However, after 90 days, he realized that only 2/7 th of the work was completed.

How many more men would he need to employ to complete the work on time if he intended to make everybody work for 10 hours per day henceforth? (a) 75 (b) 100 (c) 150 (d) 225