Progressions - AP, GP, HP - Practice Questions

A collection of questions that typically appear from the topics Sequences and Series - AP, GP and HP.

1. Question 1:   What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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2. Question 2:  Obtain the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2.
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3. Question 3:  The sum of the three numbers in A.P is 21 and the product of their extremes is 45. Find the numbers.
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4. Question 4:  A piece of equipment cost a certain factory Rs. 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?
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5. Question 5:  The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.
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6. Question 6:  Given A = 2⁶⁵ and B = (2⁶⁴+2⁶³+2⁶²+...+2⁰)
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7. Question 7:  How many 2-digit positive integers are divisible by 4 or 9?
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CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise

Number Theory		Permutation Combination		Probability		Inequalities
Geometry		Mensuration		Trigonometry		Data sufficiency
Percentages		Profit Loss		Ratio Proportion		Mixtures Alligation
Speed Time Distance		Pipes Cisterns		Interest		Races
Average, Mean		AP, GP, HP		Set Theory		Clocks Calendars
Algebra		Function		English Grammar		General Awareness