FPSC · Other · N/A
Solved number analogy MCQs — 10 questions on completing analogies by squares, cubes, digit reversal, ratios and products of consecutive integers, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers analogy numbers.
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About this paper
This is the General Ability: Analogy - Numbers solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 10 published questions (book p. 786, all 10 printed) on finding the missing term of a number analogy, covering squares and cubes, digit reversal, ratios, doubling rules and products of consecutive integers. Every answer was re-solved from scratch against the printed Answer Key, and every question carries a worked explanation.
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10 solved MCQs shown directly below
Correct Answer: 222
With k = 4, k squared minus k = 16 - 4 = 12 and k cubed plus k = 64 + 4 = 68; with k = 6, k squared minus k = 36 - 6 = 30 and k cubed plus k = 216 + 6 = 222, so the missing term is 222.
Correct Answer: 24
The four terms are products of three consecutive integers: 1 x 2 x 3 = 6, 2 x 3 x 4 = 24, 3 x 4 x 5 = 60 and 4 x 5 x 6 = 120, so the missing term is 24.
Correct Answer: 67
The terms are consecutive cubes plus 3: 2 cubed + 3 = 11, 3 cubed + 3 = 30, 4 cubed + 3 = 67 and 5 cubed + 3 = 128, so the missing term is 67.
Correct Answer: 45
The second term is 5 times the first: 75 x 5 = 375, and 45 x 5 = 225, so the missing term is 45.
Correct Answer: 961
The second term is the first term with its digits reversed: 144 reversed is 441, and 169 reversed is 961, so the missing term is 961.
Correct Answer: 256
The second term is the square of twice the first: (2 x 7) squared = 14 squared = 196, and (2 x 8) squared = 16 squared = 256, so the missing term is 256.
Correct Answer: 52
The second term is half the first plus 1: 20 / 2 + 1 = 11, and 102 / 2 + 1 = 52, so the missing term is 52.
Correct Answer: 36
The first term is 5 times the square root of the second: 5 x 4 = 20 with 4 squared = 16, and 5 x 6 = 30 with 6 squared = 36, so the missing term is 36.
Correct Answer: 47
The second term is 3 times the first minus 1: 12 x 3 - 1 = 35, and 16 x 3 - 1 = 47, so the missing term is 47.
Correct Answer: 10/99
Every fraction in the item is of the form n divided by (n squared minus 1): 7 squared minus 1 = 48, 9 squared minus 1 = 80, 10 squared minus 1 = 99 and 100 squared minus 1 = 9999, so the missing fraction is 10/99, the only option in that form.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
10 questions, all 10 printed in the book. No item was dropped: every keyed answer was verified by re-solving.
Completing number analogies of the form A : B :: C : ?, by squares and cubes (including cubes plus 3 and k squared minus k against k cubed plus k), digit reversal, fixed ratios, half-plus-one and three-times-minus-one rules, squares of doubled numbers, products of three consecutive integers, and fractions of the form n divided by (n squared minus 1).
Yes. Every published answer was re-solved from scratch and checked against the book's printed Answer Key in the right column of p. 786. All 10 published answers agree with the key, so there are no book-key overrides. Three items carry retained notes rather than overrides: in Q57 the verifying relation uses k = 4 for the first pair (16 - 4 = 12; 64 + 4 = 68) and k = 6 for the second (36 - 6 = 30; 216 + 6 = 222), so k jumps from 4 to 6; in Q64 the first term is 5 times the square root of the second (5 x 4 = 20 with 4 squared = 16; 5 x 6 = 30 with 6 squared = 36), so the root jumps from 4 to 6; and in Q66 every fraction is of the form n divided by (n squared minus 1) for n = 7, 9, 10 and 100, making (c) 10/99 the only option in that form, though the n-progression itself is irregular.
Number-analogy questions of this form appear in FPSC, PPSC, NTS, OTS and other one-paper exams, as well as CSS MPT-style quantitative sections, so the bank is tagged for all of them.
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