Number Series MCQs with Answers & Explanations

The differences between consecutive numbers increase by 2: +2, +4, +6, +8, +10. Next is +12, giving 31 + 12 = 43.

The pattern alternates between multiplying by 3 and dividing by 2: 4 \times 3 = 12; 12 \div 2 = 6; 6 \times 3 = 18; 18 \div 2 = 9; 9 \times 3 = 27. Next is 27 \div 2 = 13.5.

The differences are powers of 2: +2, +4, +8, +16. The next difference is +32, so 35 + 32 = 67.

The differences between consecutive terms are consecutive square numbers: +4 (+2^2), +9 (+3^2), +16 (+4^2), +25 (+5^2). The next difference is +6^2 = +36, giving 64 + 36 = 100.

The terms represent n^2 - 1 for n = 1, 2, 3, 4, 5. For n = 6, 6^2 - 1 = 36 - 1 = 35.

The sequence follows n^n: 1^1 = 1, 2^2 = 4, 3^3 = 27, 4^4 = 256. For n = 5, 5^5 = 3125.

This is a geometric progression with a common ratio of 3: 162 \times 3 = 486.

The series doubles each number and subtracts 1: (13 \times 2) - 1 = 25, (25 \times 2) - 1 = 49, (49 \times 2) - 1 = 97, (97 \times 2) - 1 = 193. The next term is (193 \times 2) - 1 = 386 - 1 = 385.

The series follows the pattern n^2 + n or adding consecutive even numbers (4, 6, 8, 10, 12). Adding 12 to 30 results in 42.

This is a geometric progression where each term is multiplied by a common ratio of 2. Multiplying 80 by 2 gives 160.

The series consists of the squares of consecutive integers (1^2, 2^2, 3^2, 4^2, 5^2). The next term is 6^2, which equals 36.

The series decreases by multiples of 5: -5, -10, -15, -20, -25. Subtracting 25 from 50 results in 25.

Each term follows the formula 2n + 1, where n is the previous term. Alternatively, the differences are powers of 2 (4, 8, 16, 32, 64).

This is a standard sequence of prime numbers. The next prime number after 11 is 13.

The pattern alternates between multiplying by 3 and dividing by 2. Dividing 36 by 2 gives 18, and 18 multiplied by 3 gives 54.

This is the Fibonacci sequence where each term is the sum of the two preceding terms. 5 + 8 equals 13.

The series follows an alternating pattern of adding 3 and subtracting 2. The last step is 12 - 2, which equals 10.

The series consists of the cubes of consecutive integers (1^3, 2^3, 3^3, 4^3, 5^3). The next term is 6^3, which is 216.

Each term in this series is obtained by dividing the previous term by 2. Dividing 6 by 2 results in 3.

The pattern is (n * 2) + 1. Applying this to 47, (47 * 2) + 1 equals 95.