Official Quant thread for CAT 2013

In a convex nonagon, find the maximum value of n, which is the number of points of intersection of the diagonals which lie in the interior of naongon?

(a) 120
(b) 126
(c) 130
(d) 110

(x-2a)(x-a)(x-5a)(x-11a) + ka^4 ... for what min value of k this expression becomes a perfect square?? ( approach plz)

what is the remainder when 10^1 + 10^2 + 10^3 + 10^4+......+10^50 is divided by 7?

1) 0
2) 1
3) 2
4) 5

Three dice are rolled simultaneously. Find the number of ways in which 12 as a sum can be obtained.


Pls explain.

.two ppl meet btwn 5 to 6 pm.....dey can max wait for each other for 20 minutes......find the probabilty of their meeting

remainder when 26^350 divided by 7?


1) 6
2) 4
3) 5
4) 1

Find the total no. of ways in which one can wear 3 distinct rings on the five fingers of one's right hand, given that one is allowed to wear more than one ring on a finger ?? ( Approach please..)

A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000-kilometer stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometer it travels.What is the largest number of bananas that can be delivered at the market?

What is the way of selecting 4 numbers between 1 to 13 such that no 2 of them are consecutive..

Approach pls

a person asked to find the avg. of n natural nos. but by mistake he repeated a no. twice and get faulty avg. is 40 + 20/70. find the repeated no.

  • 60
  • 39
  • 40
  • 50

0 voters

Can somebody please give an easy explanation of this ?

@psk.becks @pratyush9811 @pratskool @grkkrg

Two boats start towards each other, from the two points exactly opposite of each other on the opposite banks of a river, simultaneously. They meet at a distance of 410 m from one of the banks and continue sailing further till they reach the opposite banks. They take rest for 1 hr each and start off the return journey taking the same route. Now they meet at a distance of 230 m from the other bank. Find the distance between the two banks. (Assume that river water is still.)

a) 750 m

b) 840 m

c) 1100 m

d) 1000 m

How we will take that 1 hour rest into account while solving ?

In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks.

If group B contains 23 questions, then how many questions are there in group C?

guys...reaminder of 7^25^25/9

remainder of 2^58/99

Largest triangular no that you can form with the same digit??????????? 😁

A and B start moving towards each other simultaneously on a straight line from cities P and Q respectively. After travelling some distance, B takes a 30° turn to his left with respect to his original direction. 2 hour after B turns, A takes a 90° turn to his right. A travels 60 km after turning, before meeting B. They meet 10 hour after starting their journey. A and B together travel 170 km with time ratio 8:9 respectively before turning and arrive at the meeting point simultaneously. If A and B had not turned, after how many hours would they have met?

alok wnt to a casino to play a card game.he playd 10 rounds of dat game and in each round he doubled his amount and then he gve Rs.x to his frd. aft playing 10 rounds he had Rs1023. fnd d sum of d digits of d least possible value of x?


options are 5,6,7,8?

Find the number of degrees in arc AB of the figure below if segments PA and PB are secants; AEC = 115, BFD = 130, and P = 30

For a quicker approach to questions based on modulus 😃