CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

simon gets a discount of 25% on purchasing 100 VCD's from samuel. he sells them and makes a profit equal to the undiscounted price of 25 VCD's what is the gain percentage?

http://imgur.com/AyjC5fl


no OA explanation plz ??

 A boy, while reading a story book, realized that a certain number of consecutive leaves were missing from the book. Each leaf is numbered on either side and is considered as two pages. When he added all the page numbers that were missing, he got a sum of 180. The number of leaves that were missing from the book was  ???



#procedure please!

CAT paper: If P= 1! + (2*2!) + (3*3!) + ... + (10*10!), Then p+2 when divided by 11! leaves a remainder of? A) 10. B) 0. C)7. D) 1

 Similar to the finger one. 


Following is a circular track numbered 1, 2, 3, 4, 5 in clockwise direction. A frog jumps in a clockwise direction from one point to another around the circle. It follows some rules:- if it is on an odd numbered point, it moves one point. Otherwise it moves 2 points. If frog begins on point 5, where will it be after 1995 jumps. 

The sum of the roots of two quadratic equations are equal. The roots of the first equation are in the ratio 3:7 and the roots of the second equation are in the ratio 2:3. What is the minimum possible difference in the product of the roots of the first equation and the products of the roots of the second equation, given that the roots are integers in both cases? 

 If x + y = 4 where x and y are positive numbers, then the maximum possible value of  1/x+1/y is ?

Find the number of ways a pack of 52 playing cards can be divided equally among four persons sitting around a circular table. Answer- 52!/(4! * (13!)^4) . Explanation required. Thanks in advance.

The initial ratio of A and B in a liquid is 7:5. 9L of the solution is taken and replaced with B.The ratio of A and B now is 7:9.What was the initial amount of A? Approach pls.

The altitudes of a triangle are 5,6,11 and the perimeter is an integer. Find the minimum possible value of the perimeter of the triangle? PS: anyone who answers it plays mention the solution not only the answer.

 The figure given below shows a circle with center O and radius 8 cm. BD is a chord of the circle and A is a point on the minor arc BD. C is a point on BD such that AC is perpendicular to BD. The length of AC is 4 cm and BC is 12 cm. What is the length (in cm) of CD? 

 For image:


http://www.cleducate.in/LSTQuestionImg/772669/522390/68.gif


 1. 2

2. 4

3. 2sqrt(12/5)

4. sqrt(12/5)

 100% solar based institute SSIM first in India inauguration
 

 http://www.ssim.ac.in/

Trial runs after making the entire campus run on ‪#‎solar‬ power at Kompally are successful. We are preventing emission of 1,25,000 kgs. of carbon dioxide into the environment each year by using solar energy. The institutions have not made an investment of a single rupee on setting up solar plants of 110 Kw. capacity. We will be paying energy bills for the next 25 years at a rate per unit of the energy which is less than what we have been paying the electricity department now. This rate is fixed for the next 25 years whilst there is an annual increase in the power tariff of the State electricity department. Colossal savings both financially and to the environment over the next 25 years. Thrilled that this is happening in the silver jubilee year of Siva Sivani Institute of Management. Formal inauguration of the Solar plants at the campus on the 24th of August by the Hon'ble Home Minister of ‪#‎Telangana‬ Shri Nayani Narasimha Reddy and Hon'ble Member of Parliament, Malkajgiri constituency Shri Ch.Malla Reddy in the august presence of Shri Vivekanand Hon'ble Member of the Telangana Legislative Assembly, Quthbullapur constituency, Shri S.Raju Hon'ble Member of the Telangana Legislative Council and a host of dignitaries. Siva Sivani seeks the blessings and well wishes of all its constituents - friends, well wishers and members of the Siva Sivani family. Feeling proud and excited to be a part of the team that is steering the S.P.Sampathy's Siva Sivani Group of Institutions to greater heights.

https://www.facebook.com/events/1676587912667858
 

 ABCD is a rectangle. E and F are points on CD such that DE : EF : FC = 1 : 2 : 3. Find the ratio of the difference in the areas of triangles AEF and AFC to the area of the rectangle.

a)1 : 6b)1 : 12c)1 : 18d)1 : 24 

 Q.7
A ray of light along the line √3x + y = √3 gets reflected on the x-axis to become a ray along the line

a   y = x + √3     b  √3y = x –− 1    c  y = √3x −– √3       d  √3y = x –− √3 


OA-C    

There are 12 holes made in the ground. At least 3 are to be filled with a red ball and the other holes can be filled with any colour ball. In how many different ways can all the holes be filled from a box of 5 red balls and 10 mixed colour balls. OA-445 

 Find the maximum value of (1 – x) (1 + x) (1 + x) 


a. 2/27  b. 32/27    c. 72/17   d.27/32

"You were quarter of my age when i was twice of your present age"said A to B.5years from now ours will add up to 45.find age of A when B was born.

guys pls suggest a goood book for quant!!

In a triangle ABC right angled at C AE and BD are two medians meeting at F. the ratio of area(ABF) and area(FDCE) is? Pls post approach too. TIA

If bothe the roots of the quadratic equation ax^2+bx+c=0 lie within the interval (0,3) then a lies  in

(a) (1,3)  (b) (-1,-3)   (c)  (-root121/91 , -root8)  (d)  None of these

Please tell the approch as well for these type of questions, root lying between intervals