Official Quant thread for CAT 2013

Can anyone describe the method to find the Pythagorean triplets ..?😴😴😴

how many three letter different words can be formed from the word 'MONOTONE' ?

Find the probability that a year chosen at random has 53 mondays?

5/28
3/28
1/28
3/28

How many pairs of real numbers are there such that

x^4 + y^4 + 2x^2y + 2xy^2 + 2 = x^2 + y^2 + 2x + 2y?


A) 6 B) 5 C) 4 D) 3 E) 2

How many ordered pairs (x,y) with integers x,y>0

satisfy 1/x+1/y=1/24 ?

Can someone tel me how to solve this problem


if x,y,z are 3 distinct positive nos such that x+y+z=1 then the value of (1/x - 1)(1/y - 1)(1/z - 1) is
  • 1
  • 16
  • 8
  • 4

0 voters

How many triples p,q & n are there such that 1/p + 2013/q=n/5 where p,q are prime numbers and n is a positive integer?


A) 7 B) 6 c) 5 D) 4

A carat, which is in the shape of a right circular cone, is divided into 27 pieces of same thickness by making cuts parallel to the base surface. If the semi vertical angle is 45°, the combined total surface area of the pieces is how many times more than the total surface area of the carat?

Ashi, Harpu and Kangki are assigned an assignment which consists of preparing a certain number of test papers, each of equal length, which they can complete in 15 days by working together. Their respective efficiencies of making test papers are in the ratio 1 : 2 : 3 and their respective wages per day are in the ratio 2 : 3 : 6. They start working together on the assignment under the constraint that no two of them can work on the same test paper. After the completion of x% of the work, one of them is withdrawn due to budget constraint. If x is an integer such that 23 and that of total work are integers, find the number of days in which the work is completed at the optimal cost.

Govind distributed 84 identical candies among 'n' students of a class. It is also known that:

• Each student of the class received at least one candy.

• At least 20% of the students received 3 to 5 candies each.

• 75% of the students received at most two candies each such that each of the students belonging to this category received equal number of candies.

• n

.

Find the number of ways in which candies could be distributed.


A. 162[20C15 × 5 + 24C18 × 18]

B. 81[20C15 × 5 + 24C18 × 18]

C. 20C15 × 810 + 24C18 × 1458

D. 20C15 × 405 + 24C18 × 2916

E. 81[20C15 × 5 + 24C18 × 36]


What could be the minimum number of students in the class?

A. 24

B. 8

C. 12

D. 16

E. 20



Two tourists – Ms Biel and Mr. Timberlake, came to Delhi by same flight. After reaching Indira Gandhi

International Airport, both of them hired cabs run by two different companies namely 'SERU Cabs' and

'CAB for U'. The respective charges of cabs were [49 +(t – 1)2] and [10 + t], where t was the number

of hours for which cabs were hired. Both of them hired cabs for same number of hours that was a natural number between 20 and 30. If the amounts (in ) paid by each of them were integral multiples of x, then what is the maximum possible integral value of x?


A. 17

B. 24

C. 36

D. 85

E. None of the above

solve 😁😁

In a society, 90% of boys play at least one of the three games among Cricket, Football and Hockey. The number of boys who play Hockey and Football but not Cricket is the average of the number of boys who play Hockey and Cricket but not Football and Football and Cricket but not Hockey. The number of boys who play all the three games is one-third of the numbers of boys who play exactly two games. The number of boys who play only Cricket, only Hockey and only Football is 10 each. The number of boys who play Hockey but not Football is 6 more than the number of boys who play Football but not Hockey. If the number of boys who do not play any of the three games is 10,

then how many boys play Football?

What is the value of log(base e)(e(e(e.......)^1/2)^1/2)^1/2?

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  • 1
  • 1/3
  • 1/2

0 voters

If a number N when divided by D gives remainder 23. The number when divided by 12D gives remainder 104. What will be the remainder when the number is divided by 6D?

For how many integers 0


n^4 + 2n^3 - 20n^2 + 2n - 21 divisible by 2013

What is the minimum value of


{x^2 - 4x + 7 - 2.(2)^1/2}^1/2 + {x^2 - 8x + 27 - 6.(2)^1/2}


where x is a real number?

For how many pairs (a,b) from (1,2), (3,5), (5,7), (7,11) the polynomial P(x)=x^5+ax^4+bx^3+bx^2+ax+1

has exactly one real root?

How many 10-digit positive integers containing only the numbers 1,2,3 can be written such that the first and the last digits are same, and no two consecutive digits are same?

Hi puys, I gave my cat and iift. Dissapointed with my IIFT performance and Cat was well but cant say much. I have NMAT, XAT, SNAP and TISS to go. I am in a need of serious prep technique which might help me land up in a B-school. As far as the prep is concerned I am done with everything but I dont know what happens in the xam hall, I am lacking somewhere. Please guide me and aane wale xam ke liye kia strategy rakhu? Please I have 2.5 years of experience and have taken leave without pay for the prep since three months . I do not like my job and really want to get out of here. Please puys kuch suggest karo. Really troubled and dissapointed.😠