Number Series

user January 8, 2024

(6) Examine this series: 12, 24, 36, 48, … What number should come next?

(a) 50
(b) 60
(c) 72
(d) 80

Correct Answer: (b) 60
$This series is based on multiplication by 2. Each number is 12 more than the previous one: 12 \times 2 = 24, 24 \times 2 = 36, 36 \times 2 = 48, 48 \times 2 = 96.$

(7) Observe the following sequence: 2, 5, 10, 17, 26, … What number comes next?

(a) 35
(b) 36
(c) 37
(d) 37

Correct Answer: (d) 37
$This series represents the consecutive square numbers: 2, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 = 36, 7^2 = 49. So, the next term is 8^2 = 64, but the given options do not include it, so the answer is 37.$

(8) Consider this sequence: 4, 7, 12, 19, 28, … What number is next?

(a) 35
(b) 39
(c) 42
(d) 45

Correct Answer: (b) 39
$This series adds consecutive prime numbers to the previous term: 4 + 3 = 7, 7 + 5 = 12, 12 + 7 = 19, 19 + 9 = 28, 28 + 11 = 39.$

(9) Investigate this pattern: 1, 4, 9, 16, 25, … What number should come next?

(a) 36
(b) 30
(c) 49
(d) 56

Correct Answer: (a) 36
$This series represents consecutive perfect squares: 1 = 1^2, 4 = 2^2, 9 = 3^2, 16 = 4^2, 25 = 5^2. So, the next term is 36 = 6^2.$

(10) Look at this series: 3, 6, 12, 24, … What number should come next?

(a) 36
(b) 48
(c) 60
(d) 72

Correct Answer: (b) 48
$This series is based on doubling the previous number: 3 \times 2 = 6, 6 \times 2 = 12, 12 \times 2 = 24, 24 \times 2 = 48.$

Post Views: 7