CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

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The 200th birth anniverasry of a freedom fighter was observed on Sunday 2nd August 2015, on which day was the freedom fighter born?

Method to solve such questions..

anyone knows the short cut formula for finding common chord of a circle?

What equal annual installments will discharge a debt of Rs 2070 due in 5 years @10% S.I.(The first installment is paid at the end of the first year). Answer is Rs 345, plz explain the method.

 If x and y are positive and x3y4 = 36, then the least value of 4x + 9y is??

 Anybody has CL-Test gym and wants to share, Please ping me. I want RC and few other topics from QA. ....

 A&b started a venture with diffrent investment. It was declared that A would get 25% profit as salary and the remaining profit would then be equally divided b/w the two of them. Had the entire profit been divided in the ratio of their investment, B would have received rs 7500 more as his share of prft. The respectve earning a&b are rs 22500 & 16500 .find investment of A? 

14

No 14

Find the least number for which the highest power of 7 is 52.


OA - 322

 Find no of zeroes at the end of 250 x 255 x 260 x ... x 750. 


OA - 127

Ages of ajay and vijay consists of same two digits but not in the same order,

After 5 years ajay's age is twice that of vijay.Find the sum of their ages?


Can anybody suggest me how to improve number system and geometry,i am struggling in both of them.

P,Q,R can do a piece of work in 4,6,12 days working 12hrs a day.On each day P starts the work and works for 8hrs and then Q works for 8 hrs and then R works for 8hrs.In the same way they continue until P leaves after 2days of work.Then Q and R work alternately for 8hrs each till the work is completed.In how many days will the work be completed.Ans 3 1/3 day.Plz explain approach

Que 30

How to solve this? 9. Jayashree,Udayashree,Swathi  entered in to a partnership in the ratio of 7/2:4/3:6/5. After 4 months ,Jayashree increased her share by 50%. If the total profit earned at the end of 1 year is 21,600 , then Udayashree's share in the profit is ? 1. 2160 2. 4000 3. 5200 4. 4800 5. None of the above

the ci on a certain sum of money for 2 years is rs. 2,200 and that for 3 years is rs. 3,640. Find the rate? Any shortcut ? Apart from solving the equations ?

 

Three cyclists A, B and C, cycled along a circular track of radius 175 m. A started 2 seconds after B but cycled at 1 m/s faster than B. B started 2 seconds after C but cycled 1 m/s faster than C. If A won the race, what could have been the speed of C?

N=(2^25)(3^15)(5^16).Find the number of factors of N which are perfect cubes. Approach plzzz...

 How many unique sums greater than zero can be made using any number of  notes from 100 notes each of Rs. 2 and Rs. 5 denomination? 


Explain please. I have the answer.