List of top Mathematics Questions asked in Common Admission Test

I brought 30 books on Mathematics, Physics, and Chemistry, priced at Rs.17, Rs.19, and Rs.23 per book respectively, for distribution among poor students of Standard X of a school. The physics books were more in number than the Mathematics books but less than the Chemistry books, the difference being more than one. The total cost amounted to Rs.620. How many books on Mathematics, Physics, and Chemistry could have been bought respectively?

In these questions, you are provided data in the form of charts and/or tables. Study the data carefully and answer the questions following them.
101-104: The following graph shows the value of liquor supplied by the 5 states in 1996 and the excise duty rates in each state.

There are 5 cities, A, B, C, D and E connected by 7 roads as shown in the figure below:

Design a route such that you start from any city of your choice and walk on each of the 7 roads once and only once, not necessarily returning to the city from which you started.

The pages of a book are numbered 0, 1, 2 … upto M, M > 0. There are four categories of instructions that direct a person in positioning the book at a page. The instruction types and their meanings are :
1. OPEN : Position the book at page No. 1
2. CLOSE : Position the book at page No. 0
3. FORWARD, n :From the current page move forward by n pages; if, in this process, page number M is reached, stop at M.
4. BACKWARD, n : From the current page, move backward by n pages; if in this process, page number 0 is reached, stop at page number 0.
In each of the following questions, you will find a sequence of instructions formed from the above categories.
In each case, let n1 be the page number before the instructions are executed and n2 be the page number at which the book is positioned after the instructions are executed
If \( xy + yz + zx = 0 \), then \( (x + y + z)^2 \) equals
If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29\(^\text{th}\) February (if we are to consider people born in the 20\(^\text{th}\) century and assuming no deaths).
The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50, and Rs.5.00 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 10 rupee notes on the counter payment. How many notes did Rahul give?