Official Quant thread for CAT 2013

The Ulam Spiral :-
Writing down numbers in a spiral with the number 1 at the center. Prime numbers (2,3,5,7,11......so on ) that they formed diagonal lines. One exception though , Why only 2 is alone in it's diagonal?

any reason ???? ( I tried, drawing this and observed that 2 is single , don't know if any other prime number will join 2 in it's diagonal. )

P.S
. :- Seemingly simple, yet still unexplained, the Ulam spiral is one of the unsolved problems & Unexplained Patterns of Mathematics !

FIND THE AREA OF REMAINING PART ...

appraoach please


2^100+2^200+2^300 +.......2^10000 is divided by 7. Find the remainder.

@fireatwill

FIND THE AREA OF REMAINING PART ...

appraoach please

@Chirayu2404 @Jackson1 @Aman2913 @Wonderful_idea answer is 22 ..

P.S: somebody tell me how to link answers with their Question ..

@swapnil4ever2u

@Chirayu2404 @Jackson1 @Aman2913 @Wonderful_idea answer is 22 ..



P.S: somebody tell me how to link answers with their Question ..



@fireatwill @Wonderful_idea

explanation : area of two triangles between two parallel lines is proportional to their bases ..

@swapnil4ever2u

@Chirayu2404 @Jackson1 @Aman2913 @Wonderful_idea answer is 22 ..



P.S: somebody tell me how to link answers with their Ques

@fireatwill @Wonderful_idea these are the lines .. hope u understood 😃


From a rectangular sheet of dimension 30cm*20cm ,four squares of equal size are cut from 4 corners.Then the resulting 4 sides are bent upwards to give it the shape of an open box.if the volume of the box is 1056 cm^3,what is the length of the side of the squares cut from the corners?👍

what is the maximum possible integer value of p if 7*8*9*....135= n * (720)^p where n is a natural no?👍

In the country of Four, there are four cities, A, B, C and D. B is to the East of A, C is to the South of B, D is to the West of C, and A is to the North of D. The Government of Four is planning to connect these four cities by road such that it is possible for a person to go from a city to any of the other three cities. At the same time, the Government wants to ensure that the total road length is minimum. The distances between A to B, B to C, C to D and D to A are all equal to 10 km. What should be the total length of the road?
NICE PROBLEM.

The no of diagonals of a regular polygon is k times the no of sides,if the interior angle of the polygon is $ then find the value of k in terms of $.👍

10 students are giving a test ranked according to descending order of marks.,3 girls and 7 boys probability that worst rank among the girls is 5....??mg



A question paper consists of 4 sections with 6 questions in each section. A candidate has to select 3 sections and has to solve 10 questions choosing at least 2 from each of the selected sections. In how many ways can he answer the paper?

136800

158400

186400

not

A square intersects a circle at 8 distinct points such that the area of the circle outside the square is equal to the area of the square outside the circle.If the radius of the circle is r then what is the area of the square ?👍

hi guys i hv three months to complete my material fr quant cat as jun ,july ,august and den mocks fr sept ,,,,,,,,,,,,,,,,,can u tell which topic should i complete in jun ,july ,august like in jun algebra,july geometry etc just give me a time table!!!!!!!!!!!!!!!!!!!!!!

2^43 ... Find the first digit .. Pls explain the approach also 😁

four people A,B,C & D Plays a game with a pair of dice .in each round each player with the lowest score is eliminated ..Remaining people enter the next round ..process is continued till only one person remains....In case of a tie in any round the dice are rolled again such that the looser is decisively identified ..... FIND THE PROBABILITY THAT A WINS THE GAME...😁

If cos x /(1-sin x)=0.6, then (1+cos x + sin x)/cos x equals

now this is disturbing me... 😐😐

Guyz are you giving CL's mock series as well? I know 2 of their exams have passed and many people suggest that we give both TIME's and CL's series. Do we need it? What's the difference between the two? What's your take?

ABCD is any quadrilateral and point O is inside the quadrilateral. If sum of the length of O from the vertices A,B,C, and D is minimum then which of the following is definitely true ?

  • Point O lies on only one of the diagonal
  • Point O is intersection of the two diagonals
  • Point O is at meeting of the two lines drawn from the mid points of the sides
  • None of the above

0 voters

Amit has two congruent sheets of paper in triangular shape. He built a parallelogram with them by three different methods. It is known that the perimeters of the three parallelograms are 24, 33 and 35. Find the perimeter of the triangular piece of paper.