Official Quant thread for CAT 2013

a man can row a distance of 2 km upstream in 15 min and returns the same distance in 10 min.how much time will he take to row the same distance upstream if due to a tide the speed of the current gets doubled?

a)25min b)45 min c)20 min d)None of these

Consider a circle with unit radius. There are seven adjacent sectors, S1 , S2 , S3 .....S7 , in the circle such that circle. Further, the area of the jth sector is twice that of the (j-1)th sector, for j=2,...,7. What is the angle, in radius, subtended by the arc ofS1 atthecentreofthecircle?

  • pi/508
  • NOT
  • pi/2040

0 voters

An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with x kmph and coming back at 2x. Take total time of bird traveling as 187.5 s. Find x and 2x.

Q.

AB and CB are two parallel lines and transversal PQ intersects AB and CD at M and N . the bisector of the interior angles from quadrilateral??

rectangle
square
parallelogram

Minute hand of a clock overtakes the hour hand at the intervals of 63 min of the correct time.how much does the clock lose or gain in a day?

a)56 24/77 b)55 8/77 c)56 8/77 d)None of these

at what time between 8 and 9 o clock will the hours and min hand make an angle of 72 degree with each other?

a. 8hr306/11 b.8hr 568/11 c.1 or 2 d.None of these

N=123123123......300 digits, remainder when N divided by 504?

A and B take some money and go for shopping. The amounts with A and B have the same digits but in reverse order of each other. Both of them spend all their money in buying 33 fruits viz. mangoes and bananas. The number of bananas brought by B is same as the number of mangoes brought by A. The number of bananas brought by B is equal to the amount with A which is 4.5 times the number of mangoes B had purchased. Find the unit price of a banana and mango?

Hi, can anyone solve this and explain the approach?

  • (a) Rs 12/7 and Rs 15/7 respectively
  • (b) Rs 1.33 and Rs 1.66 respectively
  • c) Rs 2.57 and Rs 0.43 respectively
  • d) Rs Data Insufficient

0 voters

Please solve the attached problem..

ABCD is a rectangle. The points P and Q lie on AD and AB respectively. If the triangles PAQ, QBC and PCD all have the same area and BQ = 2 then AQ = ?

  • sqrt7
  • 1-sqrt5
  • 1+ sqrt5
  • 2* sqrt7

0 voters

Please look at the diagram and answer this. Full solution is not needed. just the relation between area of triangle CEB and CEF.

Dear Friends

Please share the previous year question paper of CAT Verbal Ability

If (a × b)^(c × d) = (e × f); (c × d)^(e × f) = (a × b) and (e × f)^(a × b) = (c × d) where a, b, c, d, e and f are nonzero integers, then the sum of all the possible values of (a + b + c + d + e + f) is


a 8

b 6

c 0

d 16
question from proc mock..

Hi ,

Please help me with this question..


A word of 6 letters is formed from a set of 16 letters of the english alphabet(with replacement). Find the probability that exactly 2 letters are repeated?


1) (225*224*156)/16^6

2) (18080)/16^6

3) (15*224*156)/16^6

4) NOT



    1. (15224156)/16^6
    1. (225224156)/16^6
    1. (18080)/16^6
    1. NOT

0 voters

Find the number of zeros in 1^1*2^2*3^3*................*100^100?

  • 1300
  • 1050
  • 1225
  • 1200

0 voters

last two digit of 79^83?



A box contain 6 red balls ,7 green balls,and 5 blue balls.each ball is of a different size.one ball is selected and it is found to be red.what is the probability that it is the smallest red ball?

Q4






In a class the average age of 40 boys is 13.5 years and that of the girls is 13 years. The average age of whole class is 13.4 years. Find the number of girls in the class.