Official Quant thread for CAT 2013

At exactly midnight, a thief tries to steal a car from a garage. 2 full minutes are gone before the guard arrives at the scene and starts running after the burglar. At 12 : 05 :00, the burglar panics and slips. By the time he gets up, 10 seconds are gone and the guard has caught up with him . Had he not fallen, the thief would have reached a safe hideout which was at a distance of 3560 m from the museum at 12 : 05 : 56 hours. What was the running speed of the security guard ?

15.07 m / sec

0.6 km / min

12 m / sec

15 m / sec

The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nthday of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nthday of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal?

(1) May 21

(2) April 11

(3) May 20

(4) April 10

(5) June 30

A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?

(1) –119

(2) –159

(3) –110

(4) -180

(5) -105

A box contains 20 bulbs . The probability that it contains 2 defective bulbs is 0.4 and the probability that it contains 3 defective bulbs is 0.3 . Bulbs are drawn without replacement one by one and tested for the defective bulb . What is the probability that the experiment will end at the twelfth testing?

please explain .

Q3






hey guys, is there any link like PREPATHON, this year also.
last year it was a very good thread for systematic topic wise preparation of quant topics,
please send me the link or any notification if there is any such link this year also. ..... if not ... i m waiting for it .....😁

The curve y^2 +2xy + 4|x| = 4 divides the x-y plane into regions. Then the area bounded by the closed region of the curve is?


A. 8

B. 8*squareroot(2)

C. 16

D. 16*squareroot(2)

Detailed solution please!!!

find remainder when

1!+2*2!+3*3!+.....+12*12! is divided by 13

please explain

i don't have correct ans.

  • 0
  • 12
  • 1
  • 13

0 voters

find the coefficient of x^12 in the expansion of (1-x^6)^4 (1-x)^ -4


Let s be the sum of all possible values of a for which the equation x^2 + (a -2)x + 1 = 3|x| has exactly 3 distinct real solution in x. Find s.

From a pack of cards, Three cards are drawn at random, Find the probability of drawing a king, a queen and a jack.

OA - 16 / 5525

How ????

what about 4^3 / 52C3 ????

there is a cask full of mik. E litres are drawn from the cask, it is then filled with water. this process is repeated now ratio of milk to water is 16:9. what is capacity of cask in liters?? options : 1.E+9 2.9E 3.5E 4.cannot be determined

Think about all the 5 digit number that can be formed using digit 1,3,5,7,9 if these numbers are arranged in increasing number then 500th number is ?

  • 17599
  • 11799
  • 17999
  • 19131

0 voters

when a certain number x is multiplied by 18 the product has all digits as 4's what is the minimum number of digits can x have??

z is a number in decimal system such that z=260*1024+73*512+128*129+81+9..let y be the octal representation of z..how many times will the digit 3 be there in y??? options : 1)2 2)3 3)4 4)5

Four circles with radii 5, 5, 8, a are mutually externally tangent. Then the value of a is??

If n is a natural number and the integers x1,x2,x3,x4.....xn are such that (x1*x2)+(x2*x3)+(x3*x4)+(xn-1*xn)+(xn*x1)-(x1*x2*x3*x4......xn) is even then which of the following statements are true

For all even values of n all the x's have to be even
For all even values of n all the x's can be even
For all odd values of n >1 all the x's can be odd
For all odd values of n>1 all the x's have to be odd

Only 1 and 3
Only 2 and 3
Only 2 and 4
Only 1 and 4
PLease post your approach along with the answer thanks in advance

Given two points P=(3,0) and Q=(0,6) find the coordinates of the point A lying on the line x=-y so that the triangle PAQ has the least perimeter

(1,-1)

(-1,1)

(-1/2,1/2)

NOT

PLease post your approach along with the answer thanks in advance

For real values of x and y, when is the equation possible?
sec^2 theta= 4xy/ (x+y)^2

x is greater than y
x is lesser than y

x=-y
x=y
None

Find the digital sum of 374 !
-@A