Official Quant Thread for CAT 2014!!

This is the Official CAT 2014 Quantitative preparation group. Solve questions & discuss answers/solutions shortcuts & tips with other CAT aspirants.

Hello all,

As the CAT 2K13 comes to a close as the D Day is approaching,ON THE BEHALF OF CAT 2014 aspirants I m starting this thread for all the discussions of quant for CAT 2014....all dreamer,hard worker buddies are welcome..share QA questions,solve and thus help us to learn and prepare for the most celebrated exam of the country.."CAT"! ATB!😃..here is the link of the previous year






Its going to take a while before people start showing up here , nonetheless , here goes the first question : Topic :- Numbers


A 10 Digit number has its first digit equal to the numbers of 1's in the number , second digit equal to the numbers of 2's in the number , 3rd digit equal to the numbers of 3's in the number..till 9th digit equals to the numbers of 9's and 10th digit equals to the number of 0's in the number. What is the number?


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

The first two terms of a series are 'a' and 'b' respectively, (a, b > 0) and thereafter, every subsequent term is the average of the previous two terms. What is the 12th term of this series?

a.(171a + 341b)/512

b.(343a + 681b)/1024

c.(341a + 683b)/1024

d.(683a + 1365b)/2048

The two positive integers 'p' and 'q' satisfy (p+q)/t = HCF(p,q). Which of the following two numbers sum up to 't'?

13,52

132,96,

65,45

56,45

!%%&& ===> The sides of a triangle are 6, 8 and 10. the area of the greatest square inscribed by the triangle which one side laid down on hypotenuse of triangle is:-

If f(n) represents the sum of the digit(s) of n for n = 1, 2, 3, 4, …, find the remainder when f(1) + f(2) + f(3) + f(4) + … + f(100) is divided by 90.

1. 1

2. 11

3. 46

4. 0

The Equation of two sides AB and AC of an isosceles triangle ABC are x+y=5 and 7x-y=3 respectively. What will be the equation of the side BC if area of the triangle ABC is 5 square units.

!%%&& ===

A man starts from his home to goto park situated at a distance of500 m from his house at a speedof 4 km/hr. His dog runs at aspeed of 16 km/hr, goes to thepark and comes back and repeatsthis till the man reaches the park.What is the total distancetravelled by the dog till the timethe dog comes back and meetsthe master for the third time?

A square of side 1cm is inscribed in a circle .find the radius of the shaded portion (in red colour)

As a beginner i need advice regarding whether carrier launcher's SMART CAT cracker is good or not. Can you pls suggest me regarding this?(http://www.careerlauncher.com/ecenter/EProduct.jsp)

Also for testing my learning, which one is good Byzu's chapter wise test series or carreer launcher test gym? Pls suggest ....

A rectangle MNOQ is drawn and length ON is extended to point R and a triangle QPR is drawn with QP=(2/3)QM.Angle QRP=45 degrees and side QR 4rt(7) cm,S and T are the midpoints of sides QR and PR resp.If QP=6cm,the area of rectangle is-

a.112
b.144
c.288
d.256

In the following series find the one number that is

wrong

2, 3, 13, 37, 86, 167, 288.

Two sea trawlers left a sea port simultaneously in two mutually perpendicular directions. Half an hour

later, the shortest distance between them was 17 km, and another 15 minutes later, one sea trawler

was 10.5 km farther from the origin than the other.

Find the speed of each sea trawler.

The 288th term of the sequence a, b, b, c, c, c, d, d, d, d,... is

(a) u (b) v

(c) w (d) x

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is



there are 100 bulbs glowing initially. now there states are changed as mentioned

1) multiples of 2 are toggled

2) multiples of 3 are toggled






98) multiples of 99 are toggled

99) multiples of 100 are toggled

how many bulbs are finally on?

A car travelling from A to B develops engine trouble at a point P. As a result it travels thereafter at 5/6th of its usual speed and reaches B 37 minutes after the scheduled arrival. Had the trouble occurred at point Q , 60 km further on from P , it would have reached 27 minutes after the scheduled arrival. Find the normal speed of the car.
54
60
72
75

How many trailing 0s are there when 30! is divided by 15