Official Quant thread for CAT 2013

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If a,b,c are positive integers, then is the sum of a,b, and c a perfect square?

1. a,b,c, are successive multiples of 4 and none of these are more than 60
2. a,b,c are successive multiples of 5 and none of these are more than 60

Pl post ur approach.:mg:

a. one of statements alone but not by other
b. either statement alone
c. both together.
d. not even by both together.


Let n! = 1 × 2 × 3 × ... × n for integer n ≥ 1. If p = 1! (2 × 2!) + (3 × 3!) + … + (10 × 10!), then p + 2 when divided by 11! leaves a remainder of


Please explain


  • 0
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  • 1
  • 10

0 voters

In the equation, 132 (base A) + 43 (base B) = 69 (base A+B), A and B are consecutive integers. What is A+B?

Options:

1. 12

2. 13

3. 9

4. 7



Puys, I need some help. Lately, I have developed this insane habit of reading the numbers in a question wrong. There is no logic. I simply read 495 as 415. Only after re-reading 5 times and solving 2-3 times do I find an error. This has increased in the past 1 week to 2-3 questions per mock. I have tried concentrating hard and stuff but no use. Can anyone guess why exactly is it happening? I am certainly not nervous out of my wits. 😞

pls solve

Help needed... not able to solve !!!! PFA.

@ankurkhanna14 @vipin011 see this one !!!!

Ques - The equation x^2 + 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. CBD


Please provide approach for same

kuch hosh nhi rhtaa ,kuch dhyaan nhi rhta
Cat-prepper oct-nov me,insaan nhi rhta .....
10th or so night out in a row 😴

PQR is a triangle... where angle Q = 1/2 Angle P If PQ = r; QR = p; RP = q Which of the following is true:
a. p is GM of q, p+r
b. p is GM of r,p+q
c. p is GM of r,q+r
d. p is GM of q, q+r

I am a taxi driver who take passengers on per seat basis If my sales increase by 60% Expenses reduce by 10% But siting capacity in my taxi becomes half. Find the %age change in my Profitability.
5%
10%
None of these
CBD

A point p inside the triangle ABC and distances from point p from A,B,C, is 6,8,11.Find the max possible perimeter of the triangle .

There are 100 tokens numbered from 1 to 100. In how many ways can two tokens be drawn simultaneously so that their sum is more than 100?
4950
5050
2500
2550

S= 1/(2^2-1^2) + 1/(3^2-2^2) + .... + 1/(100^2-99^2) ..S=?

20 men completed a work in certain number of days. If there were 5 more men, then the work would have been completed in 4 days less. In how many days a team of 40 men can do this work?

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  • 12
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  • 15

0 voters

Any cat questions coming out???

A team of 15 men and 25 women can do a work in 20 days and a team of 25 men and 15 women can do the same work in 15 days. In how many days a team of 20 men and 20 women can do this work?

  • 14 2/7 days
  • 15 1/7 days
  • 16 1/7 days
  • 17 1/7 days
  • none of these

0 voters

In a test consisting of 15 questions, 3 marks are awarded for a correct answer, 1 mark is deducted for an incorrect answer and no mark is awarded for an unattempted question. If a student attempts at least one question in the paper, what is the number of distinct scores that he can get?

Letters of the word BLACKI are arranged in order such that B is not at the first, A is not the 3rd, K is not at the 5th. In how many ways can this be done?


how to get last two digit 77^85..??