Official Quant thread for CAT 2013

The equation x2 + px + q = 0 has exactly one root between x = 0 and x = 1. Find the value of q(1 + p + q).
Options

a.0

b.1

c.2

d.Negative

e. None of these



OA has been attached

Pia and Ria start running simultaneously from the same point on a circular track of length 4200 m. If they run in opposite directions, they meet for the first time exactly after 2 minutes from the start and they meet at seven distinct points on the track. If they run in the same direction, they meet at three distinct points on the track. How much time (in minutes) does Ria take to complete one round, if she is the slower runner?

7/b + 8/a = -1 where a,b are non zero integers . For how many values of (a,b) is (a+b) positive.
4
6
7
8


Let x and y be two 4-digit palindromes and z be a 5-digit palindrome.. If x+y=z, how many values of z are possible?

2, 3, 4, 5



Solution attachment ... please check it ... hope kachara nahi kiya ho ... cheers 😃

In the quadrilateral ABCD, ∠BAD = ∠BCD = 90°. If AE = 6 cm, CE = 15 cm and DE = 10 cm, find the length of BF.E and F are pts on diagonal AC, DE perp. to AC and BF perp to AC
explain it in detail.

Regards
Unknown.pagalguy

A leaves home at 2.40 pm and reaches office at 4.30 pm, B leaves office at 3.10 pm and reaches home at 5.20 pm. At what time do they pass each other?

Regards
Unknown.pagalguy


What is the last digit of 6^305?

Note: I am not expecting the answer but the approach to solve such questions.

If a man cycles at 10kmph then he arrives at place at 1.00pm if he cycles at 15kmph then he arrives at 11am. time taken by him when he wants to arrive there at exact 12:00 noon ?

@maktan

Find the remainder when 50^56^52 id divided by 11? Please help and xplain how to approach these questions.



1) 7



2) 5



3) 9



4) 10 Skip



×

Is it 5 ??

The micro manometer in a certain factory can measure the pressure inside the gas chamber from 1 unit to 999999 units. lately this instrument is not working properly.The problem with the instrument is that it always skips the digit 5 and moves directly from 4 to 6 . What is the actual pressure inside the gas chamber if the manometer displays 003016?

2201 2202 2600 2960

Two points are chosen uniformly at random on the unit circle and joined to make a chord C1. This process is repeated 17 more times to get chords C2,C3,…,C18. What is the expected number of pairs of chords that intersect?

Details and assumptions

If k chords intersect at the same point, this counts as (k 2) pairs of intersecting chords

Four players are playing a game involving choosing squares on a grid of size 3×8. Each player chooses a random square on the grid, then all players reveal their choices and a token is placed in the center of each of these squares. The probability that the tokens form the vertices of a non-degenerate rectangle can be expressed as ab where a and bare coprime positive integers. What is the value of a+b?

Details and assumptions

Players are allowed to have selected the same squares. There is no restriction on their choices. A degenerate rectangle has 0 area. Squares are rectangles.

A ship is moving at a speed of 30km/hr. To know the depth of the ocean beneath it, it sends a radiowave which travel at a speed of 200m/s. The ship recieves the signal after it has moved 500m. The depth of the ocean is?

Plz explain ur answer..

Every morning ,at a certain time,Deepan opens a tap P into a tank T,and the tank gets filled exactly by noon,the very same day.One day some time after opening the tap she noticed a leak (that had developed earlier),after which she immediately plugged the leak and opened another tap Q simultaneously and managed to fill the tank by noon. Had she not spotted the leak the tank would have only been 50% full by noon and completely full by 3 PM.If the flow rate of Q is equal to that of P.

Find the time at which deepan opened Q.
9:45 am
11:00 am
10:30 am
10:00 am

alloy 1 contains metal a and b in ratio 1:2, alloy 2 contains metal b and c in ratio 2:3 and alloy 3 contains metal a and c in ratio 3:1. In what ratio should these alloy be mixed so that it contains equal amount of a,b and c.

"n is a number that when divided by 12 and 15 leaves a remainder of 2 and 8 respectively. How many distinct three digits numbers can n assume?"


I need the logic behind this question, the answer is 15.

Thanks.

Remainder when 32^32^32 is divided by 7 ?

remainder of (6^20)^13 divided by 43

  • 6
  • 7
  • 36

0 voters

800 people were supposed to vote on a resolution,but 1/3rd of the people who had decided to vote for the motion were abducted.However,the opponents of the motion, through some means managed to increase their strength by 100%.The motion was then rejected by majority, which was 50% of that by which it would have been passed if none of these changes would have occurred.How many people finally voted for the motion and against the motion.
A-200,400
B-100,200
C-150,300
D-200,300

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