Find the number that does not belong in the series: 3, 5, 7, 12, 17, 12, 19
View answer & explanation Ans: 12
Correct Answer: 12
All the other values are prime numbers; 12 is the only composite value in the list, so 12 does not belong.
FPSC · Other · N/A
Solved odd man out and series MCQs — 42 questions on wrong numbers in a series, odd-one-out by squares, cubes, primes and digit patterns, and missing numbers, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers odd man out and number series.
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Questions
42
Time
42
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Subjects
1
Topics
2
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About this paper
This is the General Ability: Odd Man Out and Series solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 42 published questions (book pp. 777-779, all 42 printed) on finding the wrong number or the odd one out in a number series and on inserting the missing number, covering squares, cubes, primes, digit patterns and difference patterns. Every answer was re-solved from scratch against the printed Answer Key, and every question carries a worked explanation.
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Subject 1
Topic Section
40 solved MCQs shown directly below
Correct Answer: 12
All the other values are prime numbers; 12 is the only composite value in the list, so 12 does not belong.
Correct Answer: 21
The differences repeat 4, 2, 2, so after 18 the next term is 22, not 21.
Correct Answer: 14
The differences alternate 2, 4, so after 11 the next term is 15, not 14.
Correct Answer: 23
All the other values are perfect squares; 23 is not a square.
Correct Answer: 28
All the other values are multiples of 3; 28 is not a multiple of 3.
Correct Answer: 81
All the other values are prime numbers; 81 = 9 x 9 is composite.
Correct Answer: 72
All the other values are perfect squares; 72 is not a square.
Correct Answer: 54
All the other values are multiples of 5; 54 is not a multiple of 5.
Correct Answer: 20
All the other values are perfect squares; 20 is not a square.
Correct Answer: 100
All the other values are perfect cubes; 100 is not a cube.
Correct Answer: 50
The differences are the squares 4, 9, 16, 25, 36, so after 30 comes 55, not 50.
Correct Answer: 427
In every other number the last digit equals the middle digit minus the first digit (for example 385: 8 - 3 = 5); for 427, 2 - 4 is not 7.
Correct Answer: 751
In every other number the last digit equals the middle digit minus the first digit (for example 835: 8 - 3 = 5); for 751, 5 - 7 is not 1.
Correct Answer: 383
In every other number the middle digit equals the product of the outer digits (for example 482: 4 x 2 = 8); for 383, 3 x 3 = 9, not 8.
Correct Answer: 64
The differences increase by 2 each time (3, 5, 7, 9, 11, 13), so after 50 comes 65, not 64.
Correct Answer: 102
The differences increase by 2 each time (9, 11, 13, 15, 17), so after 84 comes 103, not 102.
Correct Answer: 324
The digits of every other number add up to 10, but the digits of 324 add up to 9.
Correct Answer: 5000
From the third term on, each term is the product of the previous two (2 x 5 = 10, 5 x 10 = 50, 10 x 50 = 500), so after 500 comes 25000, not 5000.
Correct Answer: 18
The differences increase by 1 each time (1, 2, 3, 4, 5, 6, 7), so after 14 comes 19, not 18.
Correct Answer: 279
All the other values are multiples of 11; 279 is not divisible by 11.
Correct Answer: 18.5
The pattern multiplies by 1.5 then divides by 3 alternately, so after 9 comes 13.5, not 18.5.
Correct Answer: 634
The pattern adds 23 then subtracts 17 alternately, so after 611 comes 594, not 634.
Correct Answer: 24
The divisors decrease by 2 each time (12, 10, 8, 6, 4, 2), so after 48 comes 8, not 24.
Correct Answer: 124
The series is the cubes 1, 8, 27, 64, 125, 216, 343, so 124 should be 125.
Correct Answer: 9
Two series are interleaved (5, 6, 7, 8 and 16, 16, 16), so the last term should be 8, not 9.
Correct Answer: 40
The differences alternate 7, 5, so after 37 comes 42, not 40.
Correct Answer: 150
The terms are products of consecutive integers (7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13 = 156), so 150 should be 156.
Correct Answer: 47
The differences increase by 3 each time (5, 8, 11, 14, 17, 20), so after 32 comes 46, not 47; solved example (1) on p. 777 confirms this pattern.
Correct Answer: 36
All the other values are squares of odd numbers (5, 7, 9, 11, 13, 15); 36 is the square of the even number 6.
Correct Answer: 91
The differences are the squares 1, 4, 9, 16, 25, 36, so after 56 comes 92, not 91.
Correct Answer: 34
Subtract 1, 3, 5, 7, 9, 11 successively, so after 43 comes 36, not 34; solved example (2) on p. 777 confirms this pattern.
Correct Answer: 0
The differences fall by 5 each step (-20, -25, -30, -35, -40, -45), so after 30 comes -5, not 0.
Correct Answer: 11
All the other values are composite numbers; 11 is prime.
Correct Answer: 165
The differences are the primes 2, 3, 5, 7, 11, 13, so after 153 comes 166, not 165.
Correct Answer: 190
All the other values are perfect squares; 190 is not a square.
Correct Answer: 100
The differences are the primes with a minus sign (-2, -3, -5, -7, -11, -13), so after 108 comes 97, not 100.
Correct Answer: 70
The differences increase by 4 each time (7, 11, 15, 19, 23, 27), so after 55 comes 78, not 70.
Correct Answer: 160
Each term doubles and adds 1, so after 79 comes 159, not 160.
Correct Answer: 132
The pattern adds 4 then doubles alternately, so after 64 comes 68, not 132.
Correct Answer: None of these
Every value is a cube of a prime number (2, 3, 5, 7, 11), so no term is the odd one out and the answer is "None of these".
Topic Section
2 solved MCQs shown directly below
Correct Answer: -128
Each term is multiplied by -2, so after 64 comes -128.
Correct Answer: 122
The pattern multiplies by 2 then adds 3 alternately, so after 61 comes 122 (the solved example on p. 777 prints 128 for this same series, which does not follow the pattern).
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
42 questions, all 42 printed in the book. No item was dropped: every keyed answer was verified by re-solving, including the two missing-number items at the end.
Wrong numbers in a series found by difference patterns, squares, cubes, primes and digit-sum or digit-product rules; odd-one-out items by divisibility, primality and square or cube properties; and missing numbers from multiply-and-add patterns.
Yes. Every published answer was re-solved from scratch and checked against the book's printed Answer Key on p. 779; all 42 published answers agree with the key. Three items carry reading notes rather than overrides: the value 12 is the only composite value in the first series, every value in one series is a cube of a prime so the answer is 'None of these', and the book's solved example prints 128 where the pattern gives 122, which is what the key gives.
Odd-man-out and number-series 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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