Quantitative Aptitude — Number Series

The given series is an arithmetic progression. The difference between consecutive terms is constant. 12 - 5 = 7 19 - 12 = 7 26 - 19 = 7 So, the common difference is 7. To find the next term, add 7 to the last term. Next term = 26 + 7 = 33.

Let's find the differences between consecutive terms: 7 - 3 = 4 13 - 7 = 6 21 - 13 = 8 The differences are 4, 6, 8, which are consecutive even numbers. The next difference should be 10. Next term = 21 + 10 = 31.

Observe the pattern of multiplication between consecutive terms: 12 / 4 = 3 36 / 12 = 3 108 / 36 = 3 Each term is obtained by multiplying the previous term by 3. This is a geometric progression. Next term = 108 * 3 = 324.

Let's analyze the pattern: 2 * 2 + 1 = 5 5 * 2 + 1 = 11 11 * 2 + 1 = 23 The pattern is (previous term * 2) + 1. Next term = 23 * 2 + 1 = 46 + 1 = 47.

Observe the pattern of the terms: 1 = 1^3 8 = 2^3 27 = 3^3 64 = 4^3 The series consists of the cubes of consecutive natural numbers. Next term = 5^3 = 5 * 5 * 5 = 125.

Let's find the differences between consecutive terms: 13 - 6 = 7 27 - 13 = 14 55 - 27 = 28 The differences are 7, 14, 28. This is a geometric progression where each difference is double the previous one (7 * 2 = 14, 14 * 2 = 28). The next difference should be 28 * 2 = 56. Next term = 55 + 56 = 111.

This is an alternating series with two interleaved patterns: Pattern 1 (odd positions): 10, 12, 14 (adding 2 each time) Pattern 2 (even positions): 15, 17 (adding 2 each time) The missing term is at the 6th position, which is an even position. It follows Pattern 2. Next term = 17 + 2 = 19.

The given series consists of consecutive prime numbers. Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. The prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, ... The next prime number after 11 is 13.

This is a Fibonacci-like series where each term is the sum of the two preceding terms. 1 + 2 = 3 2 + 3 = 5 3 + 5 = 8 Following this pattern, the next term will be the sum of the last two terms. Next term = 5 + 8 = 13.

This is an alternating operation series: 7 * 2 = 14 14 - 4 = 10 10 * 2 = 20 20 - 4 = 16 The pattern alternates between multiplying by 2 and subtracting 4. The next operation should be multiplying by 2. Next term = 16 * 2 = 32.