CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

A natural number x leaves a remainder 1 when divided by p. The resultant quotient , when divided by q , leaves a remainder 2. The resultant quotient, when divided by r , leaves a remainder 3 and the quotient thus obtained, is exactly divisible by 5. If p, q and r are all natural numbers, find the least possible value of x ?

Find remainder for (7^333) / 684 ?

A sum of Rs.P is to be repaid in two equal annual installments of Rs.14520 each at 10% p.a with interest being compounded annually. Another sum of Rs.Q is to be repaid at the same rate of simple interest in two equal annual installments of Rs.14520. What is the difference between P and Q (in Rs.)?  TITA

 CAT 2001:

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least 

OA: 6

Approach please

 

Directions: The question is followed by two statements, I and II. Answer the question using the following instructions:
Mark (a) if the question can be answered by using the statement I alone but not by using the statement II alone.
Mark (b) if the question can be answered by using the statement II alone but not by using the statement I alone.
Mark (c) if the question can be answered by using either of the statements alone.
Mark (d) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark (e) if the question cannot be answered on the basis of the two statements.


Q. 

Fresh grapes contain 75% water by weight while dried grapes contain 25% water by weight. What will be the weight of dry grapes?
I. The weight of the water in the fresh grapes is 18 kg
II. The ratio of the fresh grapes weight and dry grapes weight is 3 : 1

a.    a

b.    b

c.     c

d.    d

e.    e 


In my opinion the answer is d  but the official key says different. 

Thanks in advance PUYS!

If X=(342/344)*(511/513)*(728/729)..... Up to infinite terms.. The value of x approaches?

Solution for Q 16???

 How many odd factors does 8! have? 

 Bell and Bolt run at speeds of 9 m/s and 9.9 m/s respectively on a 105-metre long circular track. They start simultaneously from the same point and run in opposite directions. How many times would they have met by the time Bolt covers 600 m? 


 Two gun shots are fired at an interval of 24 seconds. A man in a submarine travelling towards the source hears the gunshots at an interval of 22 seconds. Determine the speed of sound in water if the submarine was travelling at 40 m/s  

can you explain question properly


How to appraoch this question ?


http://www.clipular.com/c/5030738709970944.png?k=5_6jRTVvpbIv3Yz7qjprvWkvVtI


OA : 760

Approach please ?


http://www.clipular.com/c/5720437577482240.png?k=CJqtWwiuXKKPzSNGUlX0KgR-G2k


I thought it this way put A on 1st seat therefore combinations of others for this seat of A is 7c3 similarly seat A on 2nd seat ...

Therefore total favourable cases = 7c3 + 6c3 + 5c3 + 4c3 + 3c3

Total cases = 8!


Therefore probablity (7c3 + 6c3 + 5c3 + 4c3 + 3c3) / 8!


But this gives wrong answer

OA : 1/24

Can anyone post a solution to this question ? If the sum of two digit number is 80. If the larger number exceeds four times the smaller one by 5 , then the smaller number is ? A) 5 B) 15 C) 20 D)25

Should we use cosine rule here?

 How many times is the number 5 used to print all the natural numbers from 1 to 600?

The solution ins given to be 220 but I belive the answer should be 216.. thoughts please :)

http://imgur.com/mQzVCuh

Guys apprch plse

http://imgur.com/a/PZSbW

Bst apprch plse


 There are 3 drawers and 5 different coloured pens. In how many ways can you put the 5 pens in the 3 drawers so that there is atleast 1 pen in each drawer? 



A certain number of individuals who were invited to a party wanted to give a rose to each other. While they were doing so, the power went off. Since it took a lot of time for the power to resume, 6 people left the party without receiving any rose. It is known that each of these 6 people gave a rose to 6 other people. After the power resumed, the remaining individuals gave a rose to each other such that no person gave a rose to another person more than once during the party. If the total number of roses that was exchanged in the party was 192, how many people were invited to the party? 

A number raised to 5 will give a answer having same number at unit place. Whats the logic behind??