Numerical: number series MCQ — 9 Practice Questions with Answers

Explanation

The pattern alternates multiplication by 2 with adding 1, and multiplication by 3 with subtracting 1. Thus 16 × 2 + 1 = 33, 33 × 3 - 1 = 98, 98 × 2 + 1 = 197, and 197 × 3 - 1 = 590. The next step repeats the first operation: 590 × 2 + 1 = 1181. The numbers 981, 1081, and 1281 do not follow this alternating multiplier-and-adjustment rule, so they break the established series.

Explanation

The terms follow the pattern n cubed plus n squared. For n equal to 1, 1 cubed plus 1 squared gives 2. For 2, 8 plus 4 gives 12; for 3, 27 plus 9 gives 36; for 4, 64 plus 16 gives 80; and for 5, 125 plus 25 gives 150. The next value uses n equal to 6: 216 plus 36 equals 252. The numbers 210, 258, and 270 do not fit this cube-plus-square pattern.

Explanation

Separate the sequence into odd and even positions. The even-position terms are 4, 8, 12, 16, increasing by 4 each time. The odd-position terms are 1, 3, 7, -, 21; their differences are +2, +4, +6 and +8. Therefore the missing odd-position term is 7 + 6 = 13. The values 19, 14 and 15 do not maintain both patterns, especially the increasing even-step pattern inside the odd-position subsequence.

Explanation

The pattern is based on decreasing odd-number differences. From 60 to 45 the difference is 15, from 45 to 32 it is 13, and from 32 to 21 it is 11. The next difference should therefore be 9. Subtracting 9 from 21 gives 12. The values 16, 14, and 11 do not continue this regular sequence of differences, so they break the pattern.

Explanation

The series follows the pattern of even squares minus one: 2² - 1 = 3, 4² - 1 = 15, 6² - 1 = 35, and 8² - 1 = 63. The next term is therefore 10² - 1 = 99, followed by 12² - 1 = 143. The number 125 does not fit the square-minus-one pattern, while 81 is a square but not one less than the required even square, and 75 breaks the progression.