MCQ
Reasoning: Number Series MCQ - Practice Questions with Answers
Solve 35 Reasoning: Number Series questions for RAS/RPSC preparation.
Practice questions
Q1Find the missing number in the series: 4, 7, 12, 19, 28, ?
Look at the differences between consecutive terms. From 4 to 7 the increase is 3, from 7 to 12 it is 5, from 12 to 19 it is 7, and from 19 to 28 it is 9. The differences are consecutive odd numbers: 3, 5, 7, 9. Therefore the next difference should be 11. Adding 11 to 28 gives 39. So the missing number is 39.
Q2Find the missing number in the series: 5, 9, 17, 29, 45, ?
Look at the differences between consecutive terms. From 5 to 9 the difference is 4, from 9 to 17 it is 8, from 17 to 29 it is 12, and from 29 to 45 it is 16. The differences are increasing by 4 each time. Therefore, the next difference should be 20. Adding 20 to the last given term gives 45 + 20 = 65. Hence the missing number is 65.
Q3Match each series in List I with its next term in List II. List I: I. 5, 10, 17, 26, ?; II. 1, 4, 9, 16, ?; III. 2, 5, 11, 23, ?. List II: 1. 25; 2. 47; 3. 37.
For series I, the differences are +5, +7, +9, so the next difference is +11 and the next term is 26 + 11 = 37. For series II, the terms are squares: 1, 4, 9, 16 are 1², 2², 3², 4², so the next term is 5² = 25. For series III, each term is double the previous term plus 1: 2 × 2 + 1 = 5, 5 × 2 + 1 = 11, 11 × 2 + 1 = 23. So the next term is 23 × 2 + 1 = 47. Thus I-3, II-1, III-2 is correct.
Q4For the series 2, 5, 11, 23, 47, ?, read the assertion and reason. Assertion: The next term is 95. Reason: Each term is obtained by multiplying the previous term by 2 and then adding 1. Choose the correct conclusion.
Test the reason on the given series. From 2, multiplying by 2 and adding 1 gives 5. From 5, the same rule gives 11. Then 11 becomes 23, and 23 becomes 47. The rule is consistent throughout the given terms. Applying it to the last given term, 47 × 2 + 1 = 95. So the assertion that the next term is 95 is true, and the reason correctly explains why it is 95.
Q5Find the missing number in the series: 6, 40, 10, 35, 14, 30, 18, ?
Separate the terms by position. The odd-position terms are 6, 10, 14, 18; they increase by 4 each time. The even-position terms are 40, 35, 30, ?; they decrease by 5 each time. Therefore the next even-position term is 30 minus 5, which is 25. The missing number is 25.
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More questions
6Which term is incorrect in the series: 7, 12, 19, 28, 39, 52, 69?
7Match each series with its next term. I. 2, 6, 12, 20, 30, ? II. 81, 72, 64, 57, 51, ? III. 1, 4, 9, 16, 25, ?
8For the series 4, 9, 16, 25, 36, ?, which statement is correct?
9For the series 4, 9, 19, 39, 79, ?, consider the statements: I. The next term is 159. II. The next term is 158. III. Each term is obtained by multiplying the previous term by 2 and then adding 1. Which statement(s) is/are correct?
10Study the series 5, 8, 14, 23, 35, 50. Which combination of statements is correct? I. The differences increase by 3 each time. II. The next term is 68. III. The series is formed by adding consecutive multiples of 3.
11Match each number series with its missing term. I. 2, 5, 10, 17, ? II. 4, 8, 16, 32, ? III. 81, 72, 63, 54, ?
12Find the missing number in the series: 7, 10, 16, 25, 37, ?
13For the series 3, 8, 18, 38, 78, consider the following statements. I. The next term is 158. II. The differences between consecutive terms are 5, 10, 20, 40. III. The next term is obtained by adding 50 to 78. Which statements are correct?
14In the series 2, 6, 12, 20, 30, 42, which one of the following statements is incorrect?
15For the series 2, 3, 6, 11, 18, ?, consider the following statements. I. The next term is 27. II. The differences are consecutive odd numbers. III. Each term is obtained by doubling the previous term and subtracting 1. Which statements are correct?