Official Quant thread for CAT 2013

Find the sum of all the three-digit numbers having at least one odd digit.😐😐

A and B are friends.They decided to meet b/w 1pm to 2 pm on a given day. There is a condition who ever arrives first will not wait for other more than 15 minutes.The probability that they will meet on that day is:1)1/42)1/163)7/164)9/16

rolleyesrolleyes

Eight players( A to H) took part in a chess tournament in which each player plays the other once.There are no draws in the tournament.The winner of the tournament is the one with maximum point and if two players ended up with the same number of max points, both are declared winners.It is known that C beat every player who beat D, and D beat every player who beat C. Further,None of the 8 players won all their matches. How many points did the winner(s) score? ( wins are awarded 1 point, losses no points)1. A and B were declared the 2 joint winners of the tournament.2. C scored exactly one point.

Choices( the usual choices)

a. Using 1 alone but not 2 alone

b. using 2 alone but not 1 alone

c. Using either statement alone

d. Using both together but not with either statement alone

e. Cannot be answered even by using both statements together.

Dhiman was admiring the output of her new program to generate random number. She had printed out the first 10 numbers of the results. She soon noticed something interesting. each of the 10 numbers had exactly one digit, in proper placement, of the 5 digit code she used to open her car door without key.

In the first number 14073, for example, Dhiman's car code could not be 34170 (2 digits correctly placed) or 92365 (none).

Find Dhiman's car entry code from these first 10 randomly generated number: 14073, 79588, 05892, 84771, 63136, 42936, 37145, 50811, 98174 and 29402.

@jatinsh123

if a number is divisible by 2 and 3 also.. Then it is also divisible by 2*3 = 6... Does this mean that if a number is divisible by 4 and also by 6.. then the number is divisible by 4*6 =24.... eg.. 36 and 12 are both divisible by 4 and 6 but not by 24... Why does the rule only apply to 4 and 6..



1) CONCEPTUAL DOUBT



2) PLZ ANSWER Skip



its not conceptual doubt . .we are taking LCM of 2 and not . not multiplication . . same for 4 and 6 . . if no. is devided by 4 and 6 , then also can be devided by their LCM i.e. 12 .

try this..

cn anyone help me with an easy approach??

fr this as wel..

There are 100 jars kept in an order , all containing an equal even number of pebbles . From the first jar, half the pebbles are taken and mixed with those in the second jar . Then again half the pebbles in the 2nd jar are taken and mixed with those in 3rd jar. This process goes on till half the number those in 99th jar are mixed with those in the 100th jar. In the entire process only the 100th and the 99th finally contained an odd number of pebbles . Find the minimum number of pebbles present initially in each jar ?

A rectangle of largest area is cut from a circle. What percent of area is lost as trimmings?

(a) 25%
(b) 37%
(c) 50%
(d) 70%

There are 5 green and 5 red balls and there are 5 boxes numbered 1-5. In how many ways balls can be put into the boxes such that no two adjacent boxes have green balls. Every box contains exactly one ball.


If a, b and c are the pth, qth and r term (consecutive) respectively of an AP and the pth, qth and rth term(consecutive) of a GP then what is the value of the expression a^(b-c)*b^(c-a)*c^(a-b)

1

-1

2

1/2

A starts at a point P, on a circular track of length 10 km, at 6 am and runs at a speed 3u km/hr in the clockwise direction. B starts running at a speed of 2u km/hr from Q, the point diametrically opposite to P at 6:05 am, in the opposite direction. If u is less than 30, at how many distinct points do A and B meet on the track?


Remainder when 7^2008 is divided by 100?

After three successive changes (two increases and one decrease, not necessarily in that particular order), the price of a watch became 154/125 of its initial price. If the percentage changes are P, 2P and 4P respectively, then what is the value of 4P?

a. 20

b. 8

c. 200

d. 40

on dividing a number by 3,4,7 the remainders are 2,1 and 4. what is the remainder when the same number is divided by 84? Answer is 53. Please share the approach...

The mango express takes 36 hours from mangalore to delhi while the lakshya express takes 32 hours. if the mango express starts at noon on sunday and the lakshya express starts at 2 pm on sunday, then at what time will they meet?

A circle of radius 6 cm is inscribed in a trapezium having one of the non-parallel sides as 16. What is the area of the given trapezium ?

Please share your approaches as well

The number of negative terms in the expansion (2a + 3b - 4d)

100

is ______.

2550

1225

2750

2850

A train overtakes a cyclist travelling in same direction in 20 seconds. After travelling for 20 minutes from the time it started overtaking the above cyclist, it starts crossing a second cyclist coming in the opposite direction and takes 18 seconds to complete the crossing. After how many seconds from the time the train crossed the second cyclist, do the two cyclists meet each other?