CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

How many numbers when expressed in base 6, base 5, and base 4 form four, five and six digit numbers respectively ? Detailed approach please..

No. Of positive integer solutions of x²-y²=196 ?

Question 1 and 2?

A father divides his property such that the eldest son gets double the second and thrice the third.. How can be this sentence treated as ??

If log2 = 0.3010

find log1250


Steps please?

Puys what is catch in this type of question?? We don't have to calculate it fully, do we??

Please solve

I know 809 is the smallest number that satisfies the 3 equations but how did we solve them to get 809? Hit and trial or is there a method?

 The graph of the cost of providing school dinners versus the number of children is a straight line not passing through the origin and increases as the number of pupils increases. For 200 students the cost is Rs. 9 each, for 300 students the cost is Rs. 8 each. The cost per student can never be below?


Answer is 6.


Approach please

If bhavya and Karmveer work on alternate days to complete a work, then the work gets completed in exactly 24 days. If B and K denote the number of days required by bhavya and Karmveer respectively tocomplete the work independently, then how many ordered pairs of integral values of R and K arepossible?

kindly share the solution.

how to proceed after (1/B+1/K)=1/12??

 Ramu has some choclate boxes with him to sell.he sells them as either full boxes or half boxes.the first customer buys half a box more than the no. of boxes with ramu.the second customer buys half a box more than half the remaining no of boxes with him.Ramu continues to sell in this manner to 8 other customers.He is left with no boxes to sell after that .How many choclate boxes did Ramu had in the begining.
 

12th?

Ans with process

 Ramu has some choclate boxes with him to sell.he sells them as either full boxes or half boxes.the first customer buys half a box more than the no. of boxes with ramu.the second customer buys half a box more than half the remaining no of boxes with him.Ramu continues to sell in this manner to 8 other customers.He is left with no boxes to sell after that .How many choclate boxes did Ramu had in the begining.a)511        b)513      c)1023    d)1024
 


Given that X varies directky with Y verify whether (X+Y)^3 varies directly with (X-y)^3


Pls solve

Has lucknow declared the official sample mock for CAT'17? Where do I get the access for it ? Can someone please share the link here? Thanks 

 A, B and C can do a work together in a certain number of days. If A leaves after half the work is done, then the work takes 4 more days for completion, but if B leaves after half the work is done, the work takes 5 more days for completion. If A takes 10 more days than B to do the work alone, then in how many days can C alone do the work? 


Please post the approach along with the solution


Q 46 anyone..

Hi Everyone,


Please suggest me best book to prepair for cmat.And how is arihant publication CMAT preparation Guide