Official Quant thread for CAT 2013

guyzz plzz help me , n tell me how shld i strt my preparation........😲

By striking of the first digit of a number, the number becomes 1/57 times of the original number .. Find such smallest number ??

with proper explanation plzz :)
  • none of these
  • 414

0 voters

abinav and brijesh started walking simultaneously @3 km/hr and 4 km/hr from the same point c on two different paths which diverge from each other at angle of 120 degree .they walked for 6 hours ang they stopped at a and b respectively , what is the least possible distance between abhinav and beijesh when they are at a and b respectively.

question 1

all five bases of square pyramid with a square base are found to be of the same area . the height of pyramid is 3 cm . the total area of all it surfaces is?

a)8

b)10

c)12

d)16

QUESTION 2


in a scalene triangle the sum of sides of a scalene triangle can be atmost 100 units . how many triangle would be possible if each side has to be a natural number?

QUESTION 3


there is 120 players ,having a chest number 1 to 120,seated in circular arrangement . the coach of team start selecting the player in a strange manner , players numbered 1 is selected for sprint and after that every 11 player is selected for sprint , the counting continues until it ends at player number 1 , similarly starting from 1 every 9 player is selected in shot-put,every 7 player fror javelin and every 8 player for discus throw.

hoe many players are not selected in any of the 4 sport ?

options

a)45

b)65

c)33

approach please

QUESTION 4

A BALL Is fitted into the mouth of an open cone whose base radius is equal to that of ball . what would be the radius of the ball inside the cone to that of outside the cone ?

options

a)1/2

b)1/3

c)2/3

d)2/5

e)none of these ..



APPROACH PLEASE


Q5






Two people P,Q to cycle perpendicularly AC and BD intersecting at O. P, A towards C with speed 12kmph. Q, B towards D with speed of 16 kmph. AO=60 km, BO = 130 km.

1.Find Shortest distance between them.

2.If they both start at 8 am simultaneously. At what time the distance between them is shortest.

Find the remainder when 54^124 is divided by 17 ..?

Plz explain in detail

In a swimming pool measuring 90*40 . 150 men take a dip . if the average displacement of water by a man is 8 m ^3 . what will be raise in water level ?

1> 3rd last digit of 25^128
2> rem when 175^23 is divided by 100

if N = {(13)^1!+2!...+13!} + {(28)^1!+2!....+28!} + {(32)^1!+2!...+32!} + {(67)^1!+2!....+67!}, then the unit digit of N is?

a) 4 b)8 c)2 d) none of these

@anuprakash86

Last digit of (36472^123!)+ 34767^76!

it will be 7

what is the rightmost digit preceeding the zeroes in 20^53??...
can anyone explain hw its done??...

what is the remainder when 42! is divided by 47??

The arithmetic mean of a set of n numbers was calculated wrongly as 20,since the digits of one of the numbers, which happened to be a two digit number ,were interchanged. When calculated after the correction ,the mean was found to be 26. How many values are possible for n??

The arithmetic mean of a set of n numbers was calculated wrongly as 20,since the digits of one of the numbers, which happened to be a two digit number ,were interchanged. When calculated after the correction ,the mean was found to be 26. How many values are possible for n??

  • 9
  • 12
  • 4
  • 6

0 voters

Paresh and Sachin working together can finish a work in D days. If Paresh alone can complete the work in (D + 8) days while Sachin alone can complete the same work in (D + 32) days, then in how many days Paresh and Sachin working together can complete it? any elegant approach instead of the cumbersome quadratic equation approach???


10 successive discounts 1%,2%.....10% net discount of %

what is the remainder when 45! is divided by 47?? plz give approach

@giyan

can somebody help me how to draw the graph of y=2-|x|or x =2-|y| @chillfactor @scrabbler



i have added the attachment.

A star is formed from 5 points..A,B,C,D and E lying on circle,as shown in fig.

what is the sum of the angles at these five points.