Official Quant thread for CAT 2013

Find a, if (α,α^2) lies inside the triangle having sides along the lines

2x + 3y = 1, x + 2y – 3 = 0, 6y = 5x – 1.

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OA is (D)NONE OF THESE

CL mock - 8 question (PS- those who hv nt taken it yet and are planning to write it soon in unproc form , may ignore this question 😃 )

During his trip to England, Mr. Clockilal, a horologist, decided to visit 'The Cuckooland Museum' dedicated to the exhibition of cuckoo clocks. He entered the museum between 12 noon and 1 p.m. The moment he entered the museum, he observed that the angle between the minute hand and the hour hand of one of the clocks was 20째. While leaving the museum, he observed that the angle between the minute hand and the hour hand of the same clock was 220째. If he spent more than 3 hours and less than 4 hours in the museum, then how much time did he exactly spend in the museum?


3 hrs 52 8/11 mins (mixed fraction)
3 hrs 53 4/ 11 mins
3 hrs 38 2/ 11 mins
either a or c
Pls post along with approach

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OA is (b)



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OA is (c)

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OA is (b)

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OA is (c)

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OA is (b)

are 1 & 2 coprime...?



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OA is (b)

Three unbiased dice are rolled simultaneously.What is the probability that sum of the numbers that appear on them is prime?
a) 87/216 b)73/216 c)3/8 d)5/11

@rajat_cat

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OA is (b)

Let O be the center of line BC (and the semi circle). Now, OC=OE=7. As OC+OE and angle ECB=60, hence, Triangle OEC is Equilateral Triangle. Reqd area = 2[49pi/6 - 49sq.rt3/4] which on simplifying gives option B

ease share the CL proc mock 8 pdf

Year 2012 starts with Sunday. Which of the following year may also start with Sunday

  • 2057
  • 2037
  • 2068
  • 2067

0 voters

In an examination hall there are 25 rows and 11 columns in which boys and girls are to be seated. What is ratio of boys to girls that should be seated so that boys and girls are alternate, even in a row and even in a column, and all the four corners need to be boys?


  • 294 : 293
  • 1 : 1
  • 270 : 269
  • 138 : 137

0 voters

In an examination, questions carry 5, 8 or 11 marks only. A person scores either full marks for a question or 0 marks in the question. There is no negative marking. Further the maximum marks of the test are 100 marks. What is the maximum number of students who can take the test such that no two students scored the same marks?


a) 85

b) 90

c) 91

d) 92


@placiddisciple @hexagon @Dazed-Confused

Arun and Tarun start running simultaneously from end A towards other end B of a straight track of length 1000 m with speeds in the ratio 3 : 2. Whenever either of them reach any end (A or B) and/or whenever they meet, each one turns direction in which he is running and continues to run at the same speed. How far is Tarun from end A when he meets Arun for the 3rd time?

0 m

200 m

600 m

800 m

  • 800 m
  • 0 m
  • 200 m
  • 600 m

0 voters

Let f(x) be a positive valued function such that f(x)f(x + 1) - f(x - 1) f(x - 2) = 0 for all x ≥ 0. If f(100) = 8 and f(96) = 2, then f(98) equals to

A completes a work in 6 days. He can take any one person out of B, C, D or E with him. B, C, D, E work with 100%, 80%, 75% and 62.5% efficiencies respectively as compared to A. Then the work can be completed in which of the following number of days?


  • 3 9/13
  • 3
  • all the above
  • 3 3/7

0 voters

In a decagon (convex polygon of 10 sides) all interior angles are in an arithmetic progression with common difference d. Which of the following value of d is not possible?

  • 35 degrees
  • 30 degrees
  • 25 degrees
  • 20 degrees

0 voters