FPSC · Other · N/A
Solved races and games of skills MCQs — 15 questions on beating margins, head starts, dead-heat winning posts, three-way margins and billiards points, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers speed and race problems.
Paper Snapshot
Questions
15
Time
15
Minutes
Subjects
1
Topics
14
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: Races and Games of Skills solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 15 questions (book pp. 758-759) on beating margins from race times and relative speeds, winning margins with head starts and speed ratios, dead-heat winning-post distances, three-way margins between runners, and points one billiards player can give another, each with a worked explanation and a verified answer.
Paper Controls
Subject 1
Topic Section
1 solved MCQs shown directly below
Correct Answer: 20 m
In 36 seconds B covers 100 x 36/45 = 80 m, so A beats B by 100 - 80 = 20 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 33 sec
B covers 35 m in 7 seconds, so B's time for 200 m is 200/5 = 40 seconds and A's time is 40 - 7 = 33 seconds.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 80 sec
B covers 22.5 m in 6 seconds, so B's speed is 3.75 m/s and B's time for 300 m is 300/3.75 = 80 seconds.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 100 m
Speeds are in the ratio 22.5:25 = 9:10, so when B runs 1000 m, A runs 900 m and B beats A by 100 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 20 m
A must run 360 m and B 500 m; times are 360/3 = 120 units for A and 500/4 = 125 for B, so A finishes first with B at 4 x 120 = 480 m, a winning margin of 20 m.
Topic Section
2 solved MCQs shown directly below
Correct Answer: 200 m
With winning post D, D/(5/3) = D - 80, so (2/5)D = 80 and D = 200 m.
Correct Answer: 196 m
With winning post D, D/(7/4) = D - 84, so (3/7)D = 84 and D = 196 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 28 m
When A finishes, B is at 75 m; B at 75 m means C at 96 x 75/100 = 72 m, so A beats C by 100 - 72 = 28 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 20 m
When A finishes, B is at 90 m and C at 72 m; when B runs 100 m, C runs 72 x 100/90 = 80 m, so B can give C 20 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 6 m
When A finishes 100 m, B is at 90 m and C at 87 m; when B runs 180 m, C runs 87 x 180/90 = 174 m, so B beats C by 6 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 25 m
When A finishes 200 m, B is at 169 m and C at 182 m; when C runs 350 m, B runs 169 x 350/182 = 325 m, so C beats B by 25 m.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 4.14 Km/h
A takes 100/(5000/3600) = 72 seconds for 100 m; B runs 92 m in 72 + 8 = 80 seconds, i.e. 1.15 m/s = 4.14 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 10 points
When A scores 100, B scores 80 and C scores 72; when B scores 100, C scores 72 x 100/80 = 90, so B can give C 10 points.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 10 points
When A scores 60, B scores 45 and C scores 40; in a game of 90, B at 90 means C at 40 x 90/45 = 80, so B can give C 10 points.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 50 m
In A's 190 seconds, B covers 1000 x 190/200 = 950 m, so A beats B by 50 m.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
15 questions, all printed in the book and all published — there are no drops in this set. Every answer was re-solved from scratch and agrees with the book's printed Answer Key on p. 759, so there are no overrides either.
Beating margins from race times and from relative speeds, a winner's and a loser's time from a margin given in metres or seconds, winning margins with a head start and a speed ratio, dead-heat winning-post distances from a speed ratio and a head start, three-way margins between runners over longer races, a loser's speed from the winner's speed with a head start and a time margin, and points one billiards player can give another.
Yes. Every published answer was solved from scratch and checked against the book's printed Answer Key (p. 759), and all 15 published answers agree with the key — zero overrides and zero drops in this set.
It is drawn from an FPSC model-paper book, but races and games-of-skills problems appear in the same form in PPSC, NTS, PTS, CSS MPT and all Pakistan one-paper exams, so it serves aspirants of every body.
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