FPSC · Other · N/A
Solved arithmetic simplification MCQs — 29 fraction, ratio, distribution and simultaneous-equation questions with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers fractions, ratios, unit conversion and heads-and-legs problems.
Paper Snapshot
Questions
29
Time
29
Minutes
Subjects
1
Topics
13
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: Simplification solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 29 published questions (book pp. 740-742) on fractions, ratios, distribution of amounts, simultaneous equations and unit conversion, each with a worked explanation and an answer checked against the book's printed key. The book prints 35 items; 6 are dropped rather than guessed because no unique correct option exists as printed (Q3 asks for an undefined food share, Q17 has three impossible totals, and Q21, Q26, Q31 and Q35 give a correct value that is not among the options), and the printed key agrees with every published answer.
Paper Controls
Subject 1
Topic Section
9 solved MCQs shown directly below
Correct Answer: 315
(4/15 x 5/7 - 4/9 x 2/5) of the number = 8, so the number is 630 and half of it is 315.
Correct Answer: 8 cm
After 1/8 black, 7/8 remains; half of that (7/16) is white, leaving 7/16 = 3.5 cm, so the whole pencil is 8 cm.
Correct Answer: 1/3600
One second is 1/3600 of an hour (60 x 60 seconds).
Correct Answer: 13.5 m
After three bounces the height is 32 x (3/4)^3 = 13.5 m.
Correct Answer: 2/13
March counts double, so the year is 13 equal parts and March is 2/13 of it.
Correct Answer: 120 liters
A full tank holds 3 x 80 = 240 liters, so half holds 120 liters.
Correct Answer: 7/90
2/3 x 1/4 x Rs. 25.20 = Rs. 4.20, and 1 1/2 x Rs. 36 = Rs. 54, so the fraction is 4.20/54 = 7/90.
Correct Answer: Rs. 36
C's share is 1 - 3/16 - 1/4 = 9/16 of the total, so the total is Rs. 144 and B gets 1/4 of it = Rs. 36.
Correct Answer: 280
(3/4 - 3/14) of the number = 150, so the number is 280.
Topic Section
5 solved MCQs shown directly below
Correct Answer: Rs. 800
With a nephew's share as x, 25x + 16x + 2x = 43x = Rs. 8600, so x = Rs. 200 and a daughter gets 4x = Rs. 800.
Correct Answer: 480
Unsalable mangoes are 3/4 of bruised ones, so bruised = 16, and at one bruised per 30 mangoes the crate holds 16 x 30 = 480 mangoes.
Correct Answer: 100
English = 2.5 x History and the total is 140, so History = 40 and English = 100.
Correct Answer: Rs. 625
Ghani + (1/5) Ghani + (2/5) Ghani = 1.6 Ghani = Rs. 1000, so Ghani receives Rs. 625.
Correct Answer: 20
With the longer piece x, x + (2/5)x = 70 gives x = 50, so the shorter piece is 20 cm.
Topic Section
4 solved MCQs shown directly below
Correct Answer: Rs. 12
Solving 2 pens + 3 pencils = Rs. 86 and 4 pens + 1 pencil = Rs. 112 gives a pencil at Rs. 12 and a pen at Rs. 25; Rs. 12 is the pencil's cost, the only one of the two among the options.
Correct Answer: Rs. 8000
With a man's salary m, 4m + 2(m + 500) = Rs. 46000, so m = Rs. 7500 and a woman earns Rs. 8000.
Correct Answer: Rs. 3900
10 chairs = 4 tables gives a table at 2.5 chairs; 15 chairs + 2 tables = 20 chairs = Rs. 4000, so a chair is Rs. 200 and a table Rs. 500, and 12 chairs + 3 tables = Rs. 3900.
Correct Answer: Rs. 1000
Adding the two bills gives 5 tables + 5 chairs = Rs. 7500 and subtracting gives 1 table - 1 chair = Rs. 500, so a table costs Rs. 1000.
Topic Section
2 solved MCQs shown directly below
Correct Answer: Rs. 5040
T/14 - T/18 = Rs. 80 gives T = Rs. 5040.
Correct Answer: Rs. 325
With C's share as x, (2x + 125) + (x + 125) + x + x = 5x + 250 = Rs. 750, so x = 100 and A's share is Rs. 325.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 50
42.5 meters = 4250 cm, and 4250 / 85 = 50 pieces.
Topic Section
1 solved MCQs shown directly below
Correct Answer: Rs. 1.28 Crores
Doubling five times: Rs. 4 lakhs x 2^5 = Rs. 128 lakhs = Rs. 1.28 crores.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 20
Total children 30 x 16 = 480, so at 24 per column there are 480 / 24 = 20 columns.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 384
From 1:54:50 to 3:17:49 is 4979 seconds = 383 intervals of 13 seconds, so with the first sighting the light was seen 384 times.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 9 meters
26 trees give 25 gaps, so each gap is 225 / 25 = 9 meters.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 12
(52 - 25) x = 324, so x = 12.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 4
7 pineapples + 5 watermelons = Rs. 38 is met by 4 pineapples (Rs. 28) and 2 watermelons (Rs. 10).
Topic Section
1 solved MCQs shown directly below
Correct Answer: 990
Pages 1-9 use 9 digits, 10-99 use 180, and 100-366 use 267 x 3 = 801, totalling 990 digits.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 12
With B buffaloes and D ducks, 4B + 2D = 2(B + D) + 24, so 2B = 24 and there are 12 buffaloes.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
29 questions are published. The book prints 35 items; 6 are dropped because no unique correct option exists as printed, rather than guessed.
Basic arithmetic simplification: fractions, ratio and proportion, distribution of amounts, simultaneous equations for prices and salaries, unit conversion, counting digits, time intervals and heads-and-legs problems.
Yes. Every published answer was recomputed from scratch and checked against the book's printed Answer Key on page 742; the key agrees with all 29 published answers, and the 6 dropped items are recorded in the internal notes with their reasons.
Basic arithmetic is common to all Pakistan one-paper exams, so this bank helps FPSC, PPSC, NTS, BPSC (Balochistan), KPSC, SPSC, AJKPSC, PMS GK and CSS MPT aspirants alike.
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