CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

If the roots of a quadratic equation  -2x^2+bx+c are both negative, then what is the sign of (b+c)/bc ??

Consider a set of first 12 natural numbers. Three numbers ‘a’, ‘b’ and ‘c’ are selected from this set such that a > 2b > 3c. How many such distinct triplets (a, b, c) can be selected ?

 

 A container is full of spirit. 40 litres of spirit is taken out and the container is filled with water. This process is repeated twice further. Now, the ratio of spirit to water in the container is 27:98. Find the capacity of the container in litres.

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The difference between two numbers is 2395. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is_________.

What is the total number of natural number solutions to the equation 3x+y<40 if x<y?


I am getting 168. However the answer given is 171.

please post you answer along with the approach.

DS questions ....



A) question can be answered using one statement alone , but cannot be answered using the other alone .

B)each statement alone is sufficient.

C)both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

D)statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.


Q1)   if a natural np. can be written as a product of distinct two natural numbers in 8 ways , then is it a perfect square  ? 

I) n is a perfect cube 

II) n <1000


Q2) A cube of the largest possible dimensions is cut from a wooden cuboid , whose lenght is equal to its breadth . Is the height of the cuboid greater than double its lenght  ?

I) the largest cube that can be cut out of the remaining piece of wood has a volume equal to that of the piece cut initially 

II) the length of the cuboid is less than double its height .



pls provide explaination to your answers  


http://imgur.com/a/zI0VN

Rakesh bought some chocolates at 10 for rs 1.50 and an equal number at 20 paise each. he sold them at a rate of 20 for rs 4 and made profit of rs 10. how many chocolates did he purchase

Need genuine advice

Which test series is better- TIME or CL?

I already have IMS test series

In a class of 100 students,each student will play atleast one of the four games - Cricket, hockey, football and chess. For each game of for any combination of the games there will be atleast 2 students in the group who will play only that game or that combination of games, i.e, there will be atleast 2 students who will play only cricket, atleast 2 who will play only chess, atleast 2 who will play both cricket and chess and so on, Itis known that atleast 50 students play each game.


Q. If each game is played by exactly 60 students, the number of students playing at most 2 games is at least

A. 0

B. 20

C. 37

D. 100


Q. If the number of students playing any game is exactly 52, then number of students who play exactly 2 games is at most


A.76

B. 78

C. 80

D.82

 Question: Sum of three Natural numbers a, b and c is 10. How many ordered triplets (a, b, c) exist? 

Equilateral triangles are drawn on the outside of each of the four sides of a square of side 10 cm. The vertices of the equilateral triangles are then joined to form a quadrilateral. What is the ratio of the area of the quadrilateral to that of the square? 


a. 4:1               b. 2+root3:1                   c. root2 +3 :1        d.  17:3

 Abhinav is practicing for the Asian Games by shooting at a circular target of diameter 32”. If the target is divided into nine concentric circular regions of equal area, what is the radius of the innermost region? 


a. (16/3)''   b.(18/5)''   c. 1''    d.  22''

Could anyone tell the number of questions coming from Algrebra in QA Section?I did Quadratic Equations,Inequalities,Functions,graphs,Surds and Indices and Logs.Anything else left in Algebra?Other than this which is the best website to practice questions of algebra online?I did Arun Sharma,Time Material and certain sectional tests from CrackU and CL of Algebra.Please recommend more websites for practice and LET ME KNOW THE WEIGHTAGE OF ALGEBRA TOO..Like on an average how many questions pop up..of the mocks I have given I realise its around 8.But,still if someone's written CAT before could they tell me the trend.?

Let g(x) be a function such that g(x+1) + g(x-1) = g(x) for every real x. Then for what value of p is the relation g(x+p) = g(x) necessarily true for every real x?

1)5

2)3

3)2

4)6

If anybody knows how exactly FMS calculate composite score of a candidate ?

 
Three men, four women and nine boys can do a piece of work in 28 days. Two men, three women and seven boys can do the same work in 40 days. In how many days can two men, one woman and one boy do the same work? 

oa- 56 days

solution peeps ??

A scooter is sold by an automatic agency for rs 19200 cash or for rs 4800 cash down payment together with five equal monthly installments. R= 12% per annum find each installment.

 If p and q are the two digits of the number 653pq such that this number is divisible by 80, then p+q is equal to :