Official Quant thread for CAT 2013

1!+2!+3!+4!+5!..........13! could anybody explain the how to find solution to this question?

Ajay starts painting his room sometime between 6 & 7'o clock in the evening . When he finished painting the room, sometime between 8 & 9'o clock in the evening, he notices that the hours hand & the minutes hands have interchanged their positions with what they were when he started painting. At what time did the paint job get over?1) 8:10 p.m. 2) 8:(4800/143) p.m. 3) 8:45 p.m. 4) 8:50 p.m. 5) 8(3600/143) p.m


Please give the solution along with the answer

The unit's digit of a 5- digit no(having distinct digits) is 1 and is equal to the no of 5's in the no. The ten's digit is equal to the number of 6's in the no. How many such five-digit no are possible?

the consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 40 kmph its consumption is 1 litre per hour. If each litre cost Rs 40 and other expenses per hour is Rs 40, then what would be the minimum expenditure required to cover a distance of 400 km?

Some chocolates were distributed equally among all the students of first class and 11 chocolates were left. Had the same number of chocolates been distributed equally among the students of second class, 5 chocolates would have been left. If the number of students in the first class is 4 times of those in the second, than find the total students in both the classes.

a. 10

b. 20

c. 30

d. 25

e. Cannot be determined.

If logyx = (a . logzy) = (b . logxz) = ab, then which of the following pairs of values for (a, b) is not

possible?

(1) (-2,1/2)

(2) (1, 1)

(3) (0.4, 2.5)

(4) (2, 2)

The maximum possible value of x2 + 4y2 + 9z2, subject to x + 2y +3z = 12, where x,y and z are real numbers , is

a. 48

b. 224

c. 240

d. 140

e.

The smallest positive prime (say p) such that 2^p-1 is not a prime is

  • 5
  • 17
  • 29
  • 11

0 voters

Arjun and Bheem are standing at point A on a circular track with circumference 300 m. Cherry is

standing at point B which is diametrically opposite point A on the track. All three of them start

running simultaneously on the track; Arjun and Cherry run in clockwise direction at 3 m/s and

4 m/s respectively while Bheem runs in anticlockwise direction at 5 m/s. After how much time from

the start will Cherry be equidistant from Arjun and Bheem for the first time?

(a) 25 s (b) 30 s (c) 50 s (d) 60 s

(x+2)^2+(y-3)^2

tn=(1/rt n + rt n-1) , n ≥ 2.Then what is the value of t2 + t3 + t4 +…..+ t81 :
-@A

If f(x) = f(x) + f(y) / 1 - f(x)*f(y) and f(k) = 2 - sqrt(3) , find f(4k)

if x and y are natural numbers such that x+y=12 , find maximum value of 0.5 log x - log (8/ sqrt y) .

Log is in base 2.

In a 2 km race on a circular course of 1/4 of a km. A overtakes B in the middle of his 6th round. By what distance will A win at the same rate of running?
a) 2/9 km
b) 18/11 km
c) 4/11 km
d) 11/9 km
Kindly provide the answer with complete explanation. thanks.

Akbar and Antony started running around a circular track from the same point simultaneously in opposite directions. The length of the track is 600 m and the ratio of their speeds is 5 : 1. Find the shorter distance along the track (in m) between their 13th and 17th meeting points.

100

120

160

200


approach plz..

Prakash and Pramod started moving simultaneously from a certain point in the same direction along a circular track. The radius of the track is 7 m and the speeds of Prakash and Promod are 22 m/sec and 11 m/sec respectively. When both met for the Nth time, Prakash had covered 484 m more than Pramod. Find N.

10

15

22

11


this as well..

1. A square is inscribed in a quarter of a circle in a manner that two of its adjacent vertices lie on the radii at an equal distance from the centre, while the other two vertices lie on the circular area. If the square has sides of length x, then the radius of the circle is

a. 16x / (л+4) b. 2x/√л c. x√2.5 d. x√2

OA : c

plz explain😠

A child starts counting all the natural numbers starting from one. After sometime he stops and finds that he has not counted one of the numbers and also that he has counted one other number thrice. To his surprise he finds that the final count is the same as he would have got without making any mistake. What is the total number of such combinations possible if the count was 496?

1. 14

2. 15

3. 16

4. 17

What is the sum of the following series : 1/1*2+1/2*3+1/3*4/................................+1/100*101??


99/100
1/100
100/101
101/102

The sequence 2, 3, 5, 6, 7, 10, 11, ... consists of all positive integers that are neither squares nor cubes.

Find the 1000th term.

1. 1038

2. 1028

3. 1039

4. 1041