Sequences and Series : AIEEE Sample Problems

Free Math Problems, Questions, Answers, Shortcuts listed topicwise

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S_n, S_n², S_n³. Arithmetico - Geometric progression.

List of Sample Problems

1. Question 1: Expression P= x + x² + x³ + .... + x²¹⁵. What is the largest value of m such that x^m + 1 is a factor of P?
   1. 72
   2. 216
   3. 108
   4. 6
   Answers & Solution »
   
   
2. Question 2: The product of 6 positive numbers is 65. The sum of the 6 numbers ___________
   1. is definitely less than 65
   2. is definitely greater than 12
   3. is definitely less than 12
   4. cannot say anything about the sum of the 12 numbers
   Answers & Solution »
   
   
3. Question 3: The difference between the 3rd and 5th term of a GP is 48; the difference between 9th and 5th term of the same GP is 4320. What is the common difference of the GP?
   1. 3
   2. Can be one of two values
   3. -3
   4. Cannot say with this data
   Answers & Solution »
   
   
4. Question 4: a, b and c are three distinct numbers such that log a, log b and log c are in AP. a, b, c are all greater than 1. Then __________
   1. a + b > 2c
   2. a + c > 2b
   3. b + c > 2a
   4. None of these
   Answers & Solution »
   
   
5. Question 5: How many times in a 12-hour cycle do the minute hand and hour hand of a clock occupy a position such that, interchanging the positions of the hour hand and minute hand would still give a legitimate time?
   1. 144
   2. 143
   3. 12
   4. 132
   Answers & Solution »
   
   
6. Question 6: How many trailing zeroes does 50! contain?
   1. 12
   2. 10
   3. 8
   4. 11
   Answers & Solution »
   
   

---

AIEEE Math Problems, Practice Questions and Answers : Listed Topicwise

Sets, Relations & Functions		Permutation Combination		Sequences & Series
Limits, Continuity & Differentiability		Statistics & Probability		Trigonometry
Mathematical Reasoning