GMAT  Sequences & Series
You may get one or two questions from sequences and series in the quant section of the GMAT exam  in both variants viz., problem solving and data sufficiency. The concepts tested includes arithmetic progression and geometry progression. This topic may also feature questions that form a series that are neither AP nor GP. A collection of GMAT practice questions from arithmetic and multiplicative sequences is given below. Attempt these questions and check whether you have got the correct answer. If you could not crack the questions, go to the explanatory answer or the video explanations (wherever provided) to learn how to crack the question.
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
 897
 164,850
 164,749
 149,700
 156,720
 Correct AnswerChoice (B).
The sum of all 3 digit numbers that leave a remainder of 2 when divided by 3 is 164,850. Correct answer  Explanatory Answer
 Sum of AP
 Easy
How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?
 128
 142
 143
 141
 129
 Correct AnswerChoice (E).
The number of 3 digit positive integers that leave a remainder of 5 when divided by 7 is 129. Correct answer  Explanatory Answer
 AP  number of terms
 Easy
The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with (m + 2)?
 m + 4
 n + 6
 n + 3
 m + 5
 n + 4
 Correct AnswerChoice (E).
The average of 9 consecutive integers that start with (m + 2) is (n + 4). Correct answer  Explanatory Answer
 Average of an A.P.
 Easy
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?
 300
 120
 150
 170
 270
 Correct AnswerChoice (C).
The sum of the first 15 terms is 150. Correct answer  Explanatory Answer
 Sum of an A.P.
 Medium
If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 9, what is the common ratio of the G.P?
 3
 1/3
 2
 9
 1/9
 Correct AnswerChoice (C).
The common ratio is 2. Correct answer  Explanatory Answer
 Sum of G.P.
 Medium
Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
 2500
 5050
 11325
 6275
 2550
 Correct AnswerChoice (A).
The difference in the sum of the two sets is 2500. Correct answer  Explanatory Answer
 Sum of 2 A.P.
 Easy
Data Sufficiency : A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?
 The elements are in arithmetic progression.
 x is prime.
 Correct AnswerChoice (C).
The two statements together are sufficient. Correct answer  Explanatory Answer
 Data Sufficiency in AP
 Easy
In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?
 11
 14
 12
 13
 10
 Correct AnswerChoice (D).
The number of integers up to the first 1000 natural numbers that satisfy both the conditions is 13. Correct answer  Explanatory Answer
 Elements common to 2 sequences
 Medium
Data Sufficiency : What is the 6^{th} term of the Arithmetic sequence?
 The sum of the 6^{th} to the 12^{th} term of the sequence is 77.
 The sum of the 2^{nd} to the 10^{th} term of the sequence is 108.
 Correct AnswerChoice (B).
Statement 2 alone is sufficient; statement 1 is not. Correct answer  Explanatory Answer
 DS : Finding term of AP
 Medium
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