Official Quant thread for CAT 2013

If no. of elements in set A has 3 elements and that in set B has 5 elements, how many functions from set B to set A are onto ?

Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight.What is the weight of the dry grapes available from 20 kg of fresh grapes..?

Please explain in detail guys

Ans is 2.5 Kgs .

if a1,a2,a3,a4 .... a24 are in AP and a1 + a5 + a10 + a20 + a24 = 225.. find the sum of the series a1+a2+a3 .... +a24 ??


options - 909, 75, 750, 900

geometry question

Sum of the series 1/1*5+1/5*9+1/9*13.....+1/221*225...plz xplain

AB and AC are two equal chords of a circle of radius 5cm. Find BC if AB = 6cm.


A. 7.5cm B. 8.4cm C. 9.6cm D. None of these


from whre can we get the study material for the preperation of cat 2013????plz help

@amresh_maverick @maa
P.S. : It’s an answer not a question.

  • Hi
  • Hello

0 voters

Find the last 2 digits of : 15x37x63x51x97x17

a. 35 b. 45 c. 55 d. 85

If a times the ath term of an AP =b times the bth term ....find (a+b)th term

Find the value of 1-2-3+2-3-4+.....+upto 100 terms.

Find the least no which must be subtracted from 7147 to make it a perfect square.

a. 86 b. 89 c. 91 d. 93

From the first 20 natural numbers how many Arithmetic Progressions of five terms can be formed such that the common difference is a factor of the fifth term?


(a) 16 (b) 22 (c) 25 (d) 26


PS: looking for a method, manually counted 😃

Let α, β, γ, δ be the roots of (x^2+ 7x + 6)^2+ 7(x^2+ 7x + 6) + 6 = x.Given that α ≤ β ≤ γ ≤ δ. Find δ − α

  • 2
  • 2 √ 3
  • 2 √ 2
  • 1 + √ 2 + √ 3
  • 1 + √ 2 − √ 3

0 voters

If x^2+ y^2= 1 and x, y

  • -1/2
  • 1/2
  • 0
  • -2
  • 2

0 voters

Given that a² + 4b² + c² = 2(a + 4b - c) - 6. Find the value of a² + b² + c².


A. 1 B. 2 C. 3 D. 4

A dhaba has 5 menu items. If the first 4 customers each choose one menu item uniformly at random, then what is the probability that the 4th customer orders a previously unordered item?👏👼

Find the number of triplets (x, y, z) of positive numbers such that(x + y + z = 1), x^4+ y^4+ z^4= xyz

  • 3
  • 1
  • 0
  • non
  • 2

0 voters

@psk.becks

The angle of elevation of the top of tower in a regular octagonal ground from each of the eight vertices is 60°. If the side of the regular octagonal ground measures 'h' mts, find the height of the tower.

a 1.6 h

b 1.8 h

c 1.2 h

d 2.8 h

e 2.2 h


@Dazed-Confused @DieHard12 @raghavsimply

I dont know whether it is simple or not...agar na lage to majak mat udaana..waise hi din theek nahi chal rahe hai mere

Find the number of pairs of positive integers (a, b) such that a! + b! = a^b

  • 2
  • 1
  • 0
  • non
  • 3

0 voters