Official Quant thread for CAT 2013

In a cyclic quadrilateral ABCD, if AB = 2, BC = 3, CD = 4 and DA = 5, what is the ratio of the lengths of the diagonals?

11:13
12:13
cbd
none


it takes 6 days for 3 women and 2 men wrking together to cmplt a wrk. 3 men wld do d same wrk 5 days sooner than 9 women. hw many times does the output of a man exceed that of a woman?plz explain hw to slve it.


well puys check this out...This type of set perplexed many aspirants in CAT 2012...

How to Deal with Four Sets in Set Theory

Hope it helps...

sum of consecutives integers= 9808. how many integers and What are the integers?

  • 20
  • 8
  • 16
  • 32
  • 4

0 voters

p(A) = 1/3

p(B) = 1/2

p(AnB) = 1/4

p(A'UB')



A number is chosen at random from the set {1,2,3,....1998}. K is the probability that it has no prime factors in common with 10! ; then [1/k] = ? [.] = G.I.F

How many points on x+y=4 are there that lie at a unit distance from the line 4x+3y=10


in a library dere are 8 books by A and 1 book by B in a shelf X. At the same time dere are 5 books by A in shelf Y. One book is moved from X to Y. A student pick up a book from shelf Y. Find the probability that the book by B

I)is still in shelf X
2)is still in shelf Y
3)Is taken by the student

The equation of two equal sides AB and AC of an isosceles triangle ABC are x+y=5 and 7x-y=3 respectively. What will be the length of the intercept cut by the side BC on the y-axis?
9/5
8
1.5
not unique


P (3,1), Q(6,5), and R (x,y) are three points such that the angle PRQ is a right angle and the area of triangle PRQ is 7. The number of such points R that are possible is

1
2
3
4

@mahalgoldn @heylady

The present age of a man is two years more than thrice of what his grandson's age will be 10 years hence. The age the man will be 10 years hence is 2 years more than 7 times his grandson's present age. Find the present age of his grandson, in years.

  • 10
  • 20
  • 16
  • 12

0 voters

@gupanki2

The present age of a man is two years more than thrice of what his grandson's age will be 10 years hence. The age the man will be 10 years hence is 2 years more than 7 times his grandson's present age. Find the present age of his grandson, in years.



0 answers 1) 10



0 answers 2) 12



0 answers 3) 16



0 answers 4) 20



×

m=2+3(g+10)

(m+10)=2+7g


solving g=10yrs👍

A circle is inscribed inside a square. In the gap between the circle and the square (at the corner) a rectangle measuring 20 X 10 cm is drawn such that the corner A of the rectangle is also a point on the circumference of the circle. what is the radius of the circle in cm?
50
40
30


A group of students whose total age is 247 years joined a class today. As a result, the strength of the class increased by 50% but the average age decreased by 1 year. If the average age of the class (in years) initially was an integer and the strength of the class initially was a two-digit number greater than 34, find the average age of the class today.

  • 13
  • 18
  • 19
  • 15

0 voters

An eight digit number is the largest possible number such that the number formed by the four leftmost digits is twice the number formed by the four rightmost digits.which of the following is not a prime factor of this eight digit number

  • 3
  • 113
  • 4999
  • 6667
  • 59

0 voters

attached fig

Let f (x)=7x^3 + 23x + 18. Find the value of f(x+8) - f(x+7) - f(x+6) + f(x+5) - f(x+4) + f(x+3) + f(x+2) - f(x+1), which is a constant.


lookroundlookroundlookround

@krux Check the attachment