Official Quant thread for CAT 2013

When a Number N is divided by a divisor then remainder comes out as 23. If 2N is divided by same divisor then remainder comes out as 11. Find the divisor ?

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Refer to the image:

A circle passes through the vertex C of a rectangle ABCD and touches its sides AB and AD at M and N respectively. If the distance from C to the line segament MN is equal to 5 units find the area of rectangle ABCD.


25

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35

40


how many numbers are there from 100 to 1000 in which sum of any two digit equal to the third digit..?

Pls Solve this geometry question with explanation !


Guys plz help me with the solution ..:) 😃

what is the remainder when 2^400 divided by 400?


A) 192
B) 176
C) 256
D) none of these

ABC is a right angled triangle. AD is perpendicular to the hypotenuse BC. If AC=2AB, then the value of BD is-

  • BC/4
  • BC/2
  • BC/3
  • BC/5

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Questions from remainder theorm Please EXPLAIN..😠 IMAGE ATTACHED

Questions from GEOMETRY Please EXPLAIN.. IMAGE ATTACHED

Questions from GEOMETRY Please EXPLAIN..splat

Please solve this question..

2,3,8,27,112 _____

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Two persons start cycling simultaneously from a point P on a circular track. If they travel at a speeds of 3 km/hr and 10 km/hr respectively, then what should be the ratio of number of distinct points that they would meet on that track if they travel in the same direction first and in the opposite direction next?



Hellllpppp?????

Alice has a box with many identical 1Ω resistors and she decides to arrange them shown in the figure.

She is interested in the electrical properties of this triangular mesh. She uses an Ohmmeter to determine the equivalent resistance between points A and B. What is Ohmmeter's in Ohms reading?. You may assume that the lattice is infinite....

p(3,1).q(6,5)and r(x,y) are the three points such that the angle PRQ is a right angle and area of triangle prq is 7 . the number of such points r that are possible is

options
a)1
b)2
c)3
d)4

From 4 gentlemen and 4 ladies a committee of 5 is to be formed.What will be the number of ways of selecting the committee with at least 3 women such that at least one women holds the post of either a president or vice-president?
a)420
b)610
c)256
d)512
e)None
Steps please

The rate at which A and B work are in the ratio 5:4.They work on alternate days to complete the job.B started the work and he worked on the last day.The job was completed in one more day than the time taken by A alone to complete it.Find the time (days) by them working together to complete the job?

A,B and C takes 20,30 and 40 days resp to complete a piece of work .If they work together they complete another piece of work in 5 7/13 days.In how many days B alone can complete the second piece of work?

A boat is moving downstream and reaches its destination in 25 hrs while moving at a speed of 50 km/hr (given speed is in still water). One particular day due to engine problem at mid-point, theship's reduced by 20% of the original and reached its destination 2.5 hours late. Find out the speed of the river.

It would b helpful if somebody solved it using up-down approach .

A regular polygon with an even number of sides is inscribed in a circle. 126 of the diagonals of the polygon do not pass through the centre of the circle in which it is inscribed. Find the number of sides of the polygon.
a) 22 b)16 c)20 d)18

Approach please.