Algebra Workshop: Attempt all the 75 questions and then these questions will be discussed in class.
12. At a retail store a pen costs Rs. 5, a pencil costs Rs. 3 and three erasers together cost Rs. 1. I spend exactly Rs. 100 and purchase few pens, pencils and erasers such that at least one of each is bought. If the total number of items that I purchased is 100, find the maximum number of erasers that I bought.
1. 78 2. 81 3. 83 4. 84 5. Cannot be determined
26. The sum of first 40 terms of a Arithmetic Progression is 0. If the sum of the 25th term and the 35th term is –57, find the sum of the 10th and the 20th term of the progression.
1. 24 2. 27 3. 30 4. 33 4. 36
56. Equal number of arithmetic means are inserted between 6 and 42 and between 12 and 21. If the second of these means inserted in both the cases is the same, find the number of means that are inserted.
1. 8 2. 9 3. 4 4. 3 5. Cannot be determined
57. In a geometric series of positive natural numbers, any term is 1 more than the sum of ALL the terms before it. How many such series are possible?
1. None 2. One 3. Two 4. Three 5. Infinitely many.
