Official Quant thread for CAT 2013

Find remainder when 1*2 + 2*2^2 + 3*2^3+.....+ 20* 2^20 is divided by 19 ?

if x,y and z are integers and x+y+z=3 then what is the minimum value of (1/x)+(1/y)+(1/z)? a)-3 b)-9/5 c)3 d)-4/3

  • -4/3
  • 3
  • -9/5
  • -3

0 voters

There are two cities P and Q.A car "A" starts from city P at 6 am and reaches city Q at noon.Another car B starts from city Q at 7 am and reaches city P at 3 pm.

find the approximate time taken by the two cars to meet each other after car A starts?

  • 3 hrs 51 mins
  • 2hrs 51 mins
  • 3hrs 48 mins
  • 2 hrs 48 mins

0 voters

Rajiv lend out Rs.9 to anni on condition that the amount is payable in 10 months by 10 equal installments of Re.1 each payable at the start of every month.What is the ROI per annum if 1st installment has to be paid 1 month from the date loan is availed.

What is the unit digit in 6374^1793 x 625^317 x 341^491?

There are 100 coins numbered from 1 to 100. In how many ways can two coins be drawn, such that the sum of the numbers on the two coins should be greater than 100?

2,000

10,000

2,500

2,550

5,000

Q5

QuantExpert - Q.O.D


In how many ways can 5 different coins be placed in small squares of a chess board (8

×8), such that no two coins should be in the same row or column?

(64)^5

(8!)^2

(6720)^2

516

85

In an eating competition, Mr. Bhima has to eat 10 different sweets (one at a time) named A to J. In how many different ways can he eat all the sweets, such that he has to eat A before B and B before C?

10!

5,040

1,000

604,800

None of these

P = (x+3y+5z)(1/x + 1/3y +1/5z) and x+6y=6. For what value of z, P will be minimum?

@jdsnk59

P = (x+3y+5z)(1/x + 1/3y +1/5z) and x+6y=6. For what value of z, P will be minimum?



Is it 1/5 ? jdsnk59

plz help,arun sharma quant tsd,pg 300,question 9 lod2.

A bus left for point x for point y .two hours later a car left for pont x for y and arrived at y at the same time a the bus.If the car and the bus left simultaneously from opposite ens x and y towards each other they would meet 1.33 hours after the start .how much time did it take for the bus to travel fro x to y?

1.2h 2.4h 3.6h 4.8h 5.10h

The LCM of three positive integers X, Y and Z is 119^2. Find the total number of ordered triplets (X, Y and Z)



Puys plzz help

What is the remainder when 79237923....upto 400 digits is divided by 101

price increased and then decreased by X % . net decrease = 2000 . again the price is increased and decreased by X/2 % . final price = 47250 . is there any method to find price or X without using equations ?


@pratskool @Logrhythm @scrabbler @chillfactor and others

what is the value of 6545454................../545454.........5 both numerator and denominator contain 21 digits?

  • 1.21
  • 1.1
  • 1
  • none
  • 1.3
  • 1.2

0 voters

Cities P & Q are in different time zones. P is located 3000 km east of Q. the table below describes the schedule of airline operating non-stop flights between P& Q. All time indicated are local and on the same day.


Departure Arrival
City Time City Time
Q 8 am P 3pm
P 4 pm Q 8pm

Assume the planes cruise at the same speed in both directions. However the effective speed is influenced by steady wind blowing from east to west at 50 km/ hour?

What is the time difference between P & Q.



  • 2 hrs
  • 1 hr 30 min
  • 1 hr
  • 2 hrs 30 min

0 voters

A is a 4-digit positive integer and B is the 4-digit positive integer formed by reversing the digits of A. If A – B is greater than zero and is divisible by 45, then find the number of possible values of A.

Sigma (n^7+n^5) n=2 to 10000000 determine its last three digit

I know answer is 998 could u provide a simple method ? @chillfactor @pratskool @AvishekAdhvaryu @scrabbler

Q-plsz solve

In triangle ABC, AB=52, BC=64 , CA=70 and assume that P and Q are points chosen on AB, AC respectively such that the triangle APQ and quadrilateral PBCQ have the same area and same permeter.
Show that PQ^2=3255