CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

If no. was 780 in 2000 year then it inc to 3000 in 2005 ,then annual incr ?

Explanation plz

How many triplets (p, q, r) exist such that p, q, r belong to (1, 2, 3, 4) and qx + py = r and px + ry =q have a unique solution for x and y?

Ravi has to distribute 15 chocolates among 5 of his childrens A,B,C,D,E , He has to make sure that D gets atleast 3 and at most 6 choclates. In how many ways can this be done?

Anyone solve ?

A man invested rs 40000 in a bond which gives 10% p.a interest compound half yearly. If the annual rate of interest is increased by 20 percentage points at the end of every half year what will be the interest for the first one and half years.?

Does conditions on the side of a triangle have a equal sign i.e. a+b>=c or a+b>c? . Here it states equality as well. https://en.m.wikipedia.org/wiki/Triangle

Can someone explain how last three digits of 3^n = last three digits of 3^100k+n

In how many different ways be 6 faces of cube be painted by six different colours?

In how manu ways can a selection be nade of 5 letters out of 5As 4Bs 3Cs 2Ds 1E.

 The midpoints of the four sides of a regular hexagon are joined to form a rectangle. What is the ratio of the area of the rectangle to that of the hexagon?  


procedure!

Two persons agree to meet between 6 P.M and 7 P.M with the understanding that each will wait no longer than 20 min for the other. What is the probability that they will meet? 5/9 7/9 3/9 4/9 2/9 Please explain the method as well.

How to check if an octal number is divisible by 61or any other number without converting into decimal number system?

 In a trapezium lengths of parallel sides AB and CD are 10 cm and 24 cm and height of trapezium is 12.If segment xy is parallel to AB.find length of xy 

how to show that 5^12+2^10 is a composite no.?

Please suggest me the good books for Logical Reasoning.

 'abcd' is a four digit number with all distinct digits. 'ab','bc','cd'  are odd numbers.('ab' is not a*b, but rather digits 'a' and 'b'). 'bc'  is a product of two prime numbers and 30

A sprinter started running on a circular path with radius r.His speed is π/800R during first 100sec,π/1600R during next 400sec,π/3200R during next 1600 sec and π/6400R during next 6400 sec and so on where R=(16/15)r.What is the ratio of the times taken by him for running the first and second rounds.Ans 17:48 plz explain

Last three digit of 1011*2012*3013*4014*5015*6016 Dividing by 1000 yields different result than actual multiplication?? P.s. my question is why actual multiplication is different?

If a team of four persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least one male? Approach?