CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

 For which value of k does the following pair of equations yield a unique solution of x such that the solution is positive?

x^2 – y^2 = 0
(x – k)^2 + y^2 = 1 

Hi, Please solve this with shortest possible time


The ratio of SP of two articles A and B is 2:3 , if %age profit on A and B are 25% and 20% respectively ,  find ratio of cP of A to CP of B 


AIMCAT 1713 @ishu1991  

Jay's purse contains 4 coins which can be 1 rupee coins or 5 rupees coins. 2 coins are drawn and are both found to be 5 rupees coins.If the coins are replaceable in the purse and Jay draws out another coin, what is the probability that it is a 1 rupee coin? Answer:1/8 Please explain solution.

  If x=(9+45√48)=[x]+f [x] where [x] is defined as integral part of  xand f is a fraction, then x(1−f) equals . 

OA:1

What is the greatest number of points of intersection of 8 straight lines and 4 circles?

Hi Please solve this with fastest approach


 

P, Q, R, S and T are five boys who were asked to come, one at a time, and make a presentation. In how many ways is it possible that P makes his presentation before Q, and Q, before R? 


aimcat 1713

  @ishu1991  


  • 20
  • 15
  • 30
  • 10

0 voters

please provide the solution too :)


Find the value of 3/4* 8/9 * 15/16 * 24/25 * .......... * 99/100


1>2/3

2>11/20

3>1/2

4>51/104


 Find the remainder when 3^1384 is divided by 1647? approach please

Manish bought a combined total of 25 monitors and printers.He marked up the monitors by 20% on the C.P,while each printer was marked up by Rs.2000.He was able to sell 75% of the monitors and 2 printers and make a profit of Rs.49000.The remaining monitors and 3 printers could not be sold by him.Find the overa;; profit or loss if he gets no return on unsold items and its known that a printer costs 50% of a monitor.

OA:Loss of Rs.48500

 A can contains a solution of two liquids A and B in the proportion of 7 : 5. When 9 L of solution is drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many litres of liquid A was there in the can initially? 

http://imgur.com/a/Yn5FQ


How to do this ?

http://imgur.com/a/Qz9cK


Approach ? #SIMCAT

AIMCAT 1713,QUESTION  102


http://imgur.com/a/DZTJh


HOW DID THEY GET mn?

 Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose? 

 Let f(x) = ax2 + bx + c, where a, b and c are certain constants and a ≠ 0 It is known that

f(5) = – 3f(2). and that 3 is a root of f(x) = 0.

What is the value of a + b + c? 

Please solve with fastest approach:


 If (x) = x2 + axb (a≠ 0) is a quadratic expression, such that the positive difference between the roots of (x) = 0 is three times that of (x) = –2, which of the following gives the minimum value of f (x)? 


 a)4/3

b)-7/4

c)-9/4

d)Cannot be determined


Given solution is lengthy , @ishu1991
 

anyone has total gadha algebra pdf.....plz share

Please solve with fastest approach @ishu1991  


 106.If the amount at the end of 10 years on a certain sum at a certain rate of interest, compounded annually, is 44% more than that at the end of 8 years, then by what percent will the compound interest for the 6th year be less than that for the 7th year?


a)20%

b)16 2/3 %

c)25%

d)14 2/7 %
 

A fires two bullets from the same place at an interval of 12 minutes but B sitting in a train approaching the place hears the second report 11 minutes 30 seconds after the first. What is the approximate speed of the train (if the speed of sound is 330 metres per second) ?


Answer: 330/23 m per sec


Approach please!

A function f:N -> N , satisfies the recurrence f(n+2) = 2f(n)+1,for n belongs to integer set, with f(1) = 1 and f(2)=3. What is approximately the ratio of f(41) to f(21) ?


Options:

1) 128

2) 1024

3) 8192

4) 65536