which of the following is a perfect square : 100856 and 945729 ? Explain the easiest and fastest way of checking it.

Find the digital sum of the numbers given. A perfect square digital sum will always end in 1, 4, 7 or 9. So, 1+0+0+8+5+6 = 20 = 2+0 = 2, so this number is not a perfect square. whereas 9+4+5+7+2+9 = 36 = 3+6 = 9, so this number is a perfect square. Download number systems formulas for CAT which will help you to learn various important concepts.

if 2 < x < 4 and 1 < y < 3 then find the ratio of the upper limit for x + y and the lower limit of x - y.

Upper limit can be obtained by the combination of upper limits for the terms in addition. So 4+3 = 7. For the lower limit of x-y, in order to get the lowest value, we need to take the lower x and higher y (Trying to get negative numbers, as -ve numbers are least), 2-3 = -1

some birds settled on the branches of a tree.first, they sat one to a branch and there was one bird too many.Next, they sat two to a branch and there was one branch too many. How many branches were there?

If the first case is written in equation form then x+1=y. If I assume X are birds and y are branches. In the 2nd case, y+1=x/2 On solving we get 4 birds and 3 branches.

How do i solve parajumble

Hey Raju, we have an excellent blog written on how to solve para jumbles for CAT. Please go through it. Try to practice them daily until you find them easy.

How do i solve parajumble

PJs is one of the most important topics in Verbal for CAT. It is a good concept to work on and improve. We wrote a detailed article on how to crack Parajumbles for CAT (TITA version). Read the blog and let us know if you have any more queries.

if 423 is in base 6 system what is the value of (abc)6 such that 423+abc=1000

can any one explain answer for this question?

what are the best books for speed maths which will help in increasing the speed of calculation essential for the preparation of CAT?

Nothing beats practice Angel. But with the use of the scientific calculator, the onus is more on accuracy and concepts than on speed. So, I would recommend improving your concepts rather than work on speed calculations.

If a man takes 6 days to complete a certain work. Then, how many man will complete a work in 2 days ?

Hi, Vivek, karan already answered your question. I recommend you to please download formulas sheet of Time, speed and Distance to learn various concepts related to this topic (including pipes and cisterns, trains, boats and streams)

What are the scores of toppers of cat in their first mocks? How do we keep improving in each of the mocks?

Its different for different people, you doesn't need to be a topper in the fist mock. Only thing that matters is how much you improved from your first mock to the final CAT exam. Please read about the FAQ's on CAT mock tests to learn more.