Numbers
Let p be the set of integers ‘a’ such that
(i) 125 ≤a≤275
(ii) ‘a’ is even
(iii) ‘a’ is divisible by 7 but not by 11.
How many elements does ‘P’ contain ?
A. 20
B. 11
C. 10
D. 9
Let p be the set of integers ‘a’ such that
(i) 125 ≤a≤275
(ii) ‘a’ is even
(iii) ‘a’ is divisible by 7 but not by 11.
How many elements does ‘P’ contain ?
A. 20
B. 11
C. 10
D. 9
Mr. Dutch, Mr. English, Mr. Painter, and Mr. Writer are all teachers at the same secondary school. Each teacher teaches two different subjects. Furthermore:
What is the full name of each teacher and which two subjects does each one teach?
For how many integer n, n2 + 10n + 2 is a perfect square?
•4 passages (with five questions) and 1 passage (with four questions)
•Summary: 3 questions
(these 27 questions were objective type questions.)
•Para jumbles: 4 questions
•Odd one out: 3 questions
(These 7 were non MCQ questions.)
You are sitting with one opponent at an empty, round table. Taking turns, you should place one dollar on the table, in such a way that it touches none of the coins that are already on the table. The first player that is not able to place a dollar on the table has lost. By tossing a coin, it has been decided that you may start.
Which strategy will you follow to make sure you are guaranteed to win?
Square ABCD has side length 2, and X is a point outside the square such that AX = XB = √2. What is the length of the longest diagonal of pentagon AXBCD?
Assume that you have a number of long fuses, of which you only know that they burn for exactly one hour after you lighted them at one end. However, you do not know whether they burn with constant speed, so the first half of the fuse can be burnt in only ten minutes while the rest takes the other fifty minutes to burn completely. Also, assume that you have a lighter.
How can you measure exactly three quarters of an hour with these fuses?
Each of two boxes contains three chips numbered 1,2 and 3 . A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?