Questions covered in Basic

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. The value of $i^{10}$ is
2. The solution of the inequality $5x - 3 < 7$ is
3. The value of $5!$ is
4. The number of terms in the expansion of $(x + 2y)^9$ is
5. The 10th term of the A.P. 2, 7, 12, ... is
6. Find the multiplicative inverse of the complex number $2 - 3i$.
7. Solve the inequality $3x - 2 < 2x + 1$ for real $x$.
8. In how many ways can 5 different books be arranged on a shelf?
9. Expand $(1 - 2x)^4$ using Binomial Theorem.
10. Find the sum of the first 20 terms of the A.P. 1, 4, 7, ...
11. Find the sum to $n$ terms of the sequence $8, 88, 888, 8888, \dots$
12. Case Study: A person writes a letter to 4 of his friends. He asks each one of them to copy the letter and mail to 4 different persons with instruction that they move the chain similarly. Assuming that the chain is not broken and that it costs 50 paise to mail one letter.
    (i) How many letters are mailed in the 1st set?
    (ii) How many letters are mailed in the 2nd set?
    (iii) Find the total cost for the first 5 sets.