Q 1 Mathematics Direct Proportion Cost
If 15 toys cost Rs.234, what do 35 toys cost?
View answer & explanation Ans: Rs.546
Correct Answer: Rs.546
More toys, more cost: Rs.234 x 35/15 = Rs.546.
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Arithmetic: Chain Rule — Solved MCQs Solved MCQs
Solved chain rule MCQs — 31 questions on direct and inverse proportion, men-days-hours work, wages, remaining provisions, combined teams, pump and loom rates, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers unitary method and compound proportion.
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31
Time
31
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Subjects
1
Topics
31
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About this paper
This is the Arithmetic: Chain Rule solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 31 published questions (book pp. 752-754, of 35 printed) on direct and inverse proportion, chain-rule work problems, wages by men and days, remaining provisions after men leave or reinforcements arrive, combined men-women and men-boys teams, and pump, loom, rope and weaving rates, each with a worked explanation and a verified answer.
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Arithmetic: Chain Rule — Solved MCQs
Read mode 31 MCQs · 31 minutes
Subject 1
Mathematics
1
Topic Section
Direct Proportion Cost
1 solved MCQs shown directly below
2
Topic Section
Inverse Proportion Men And Hours
1 solved MCQs shown directly below
Q 2 Mathematics Inverse Proportion Men And Hours
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
View answer & explanation Ans: 60
Correct Answer: 60
Fewer men, more hours: 36 x 25/15 = 60 hours.
3
Topic Section
Wages By Men And Days
1 solved MCQs shown directly below
Q 3 Mathematics Wages By Men And Days
If the wages of 6 men for 15 days be Rs.2100, then find the wages of 9 men for 12 days:
View answer & explanation Ans: Rs.2520
Correct Answer: Rs.2520
Wages follow men and days: Rs.2100 x 9/6 x 12/15 = Rs.2520.
4
Topic Section
Wall Length By Men And Days
1 solved MCQs shown directly below
Q 4 Mathematics Wall Length By Men And Days
If 20 men can build a wall 56 meters long in 6 days, what length of a similar wall can be built by 35 men in 3 days?
View answer & explanation Ans: 49
Correct Answer: 49
Length follows men and days inversely: 56 x 35/20 x 3/6 = 49 meters.
5
Topic Section
Approximate Unit Price
1 solved MCQs shown directly below
Q 5 Mathematics Approximate Unit Price
If the price of 6 toys is 264.37 what will be the approximate price of 5 toys?
View answer & explanation Ans: Rs.220
Correct Answer: Rs.220
264.37 x 5/6 = Rs.220.31, approximately Rs.220.
6
Topic Section
Unit Price By Weight
1 solved MCQs shown directly below
Q 6 Mathematics Unit Price By Weight
If a quarter Kg of potato costs 60 paisa, how many paisa will 200 gm cost?
View answer & explanation Ans: 48
Correct Answer: 48
A quarter kg is 250 gm, so 200 gm costs 60 x 200/250 = 48 paisa.
7
Topic Section
Weight By Length
1 solved MCQs shown directly below
Q 7 Mathematics Weight By Length
If 11.25 m of a uniform iron rod weighs 42.75 Kg, what will be the weight of 6 m of the same rod?
View answer & explanation Ans: 22.8 Kg
Correct Answer: 22.8 Kg
Weight follows length: 42.75 x 6/11.25 = 22.8 Kg.
8
Topic Section
Map Scale Distance
1 solved MCQs shown directly below
Q 8 Mathematics Map Scale Distance
On a scale of map, 0.6 cm represents 6.6 km. If the distance between the points on the map is 80.5 cm, the actual distance between these points is:
View answer & explanation Ans: 885.5 Km
Correct Answer: 885.5 Km
Actual distance follows map distance: 6.6 x 80.5/0.6 = 885.5 Km.
9
Topic Section
Time By Weaving Rate
1 solved MCQs shown directly below
Q 9 Mathematics Time By Weaving Rate
An industrial loom weaves 0.128 meters of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meters of cloth?
View answer & explanation Ans: 195
Correct Answer: 195
Time is length over rate: 25/0.128 = 195.3 seconds, approximately 195.
10
Topic Section
Height By Shadow Length
1 solved MCQs shown directly below
Q 10 Mathematics Height By Shadow Length
A flag staff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar condition will be:
View answer & explanation Ans: 12.5 m
Correct Answer: 12.5 m
Height follows shadow length: 17.5 x 28.75/40.25 = 12.5 m.
11
Topic Section
Remaining Work Time
1 solved MCQs shown directly below
Q 11 Mathematics Remaining Work Time
A man completes 5/8 of a job in 10 days. At this rate, how many more days will it take him to finish the job?
View answer & explanation Ans: 6
Correct Answer: 6
The remaining 3/8 of the job takes 10 x 3/5 = 6 days. (Printed labels run (a), (b), (b), (d); the key letter (c) is the third option, 6.)
12
Topic Section
Men And Days Inverse Proportion
1 solved MCQs shown directly below
Q 12 Mathematics Men And Days Inverse Proportion
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
View answer & explanation Ans: 24
Correct Answer: 24
Fewer men, more days: 36 x 18/27 = 24 days.
13
Topic Section
Remaining Provisions After Men Leave
1 solved MCQs shown directly below
Q 13 Mathematics Remaining Provisions After Men Leave
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
View answer & explanation Ans: 42
Correct Answer: 42
After 10 days, 150 x 35 = 5250 man-days of food remain for 125 men: 5250/125 = 42 days.
14
Topic Section
Meal Sharing Between Men And Children
1 solved MCQs shown directly below
Q 14 Mathematics Meal Sharing Between Men And Children
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be created to with the remaining meal?
View answer & explanation Ans: 30
Correct Answer: 30
150 children leave 50 children's share, worth 50 x 120/200 = 30 men. (Stem kept verbatim; "created to" is the book's garbled wording for "catered to".)
15
Topic Section
Cow Bag And Day Rate
1 solved MCQs shown directly below
Q 15 Mathematics Cow Bag And Day Rate
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
View answer & explanation Ans: 40
Correct Answer: 40
One cow eats one bag in the same 40 days: the cows, bags and days all scale together.
16
Topic Section
Road Repair By Persons Hours And Days
1 solved MCQs shown directly below
Q 16 Mathematics Road Repair By Persons Hours And Days
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
View answer & explanation Ans: 13
Correct Answer: 13
Days follow total work over daily capacity: 39 x 12 x 5/(30 x 6) = 13 days.
17
Topic Section
Pump Hours To Empty A Tank
1 solved MCQs shown directly below
Q 17 Mathematics Pump Hours To Empty A Tank
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in one day?
View answer & explanation Ans: 12
Correct Answer: 12
Pump-hours are fixed at 3 x 8 x 2 = 48, so 4 pumps in 1 day work 48/4 = 12 hours a day.
18
Topic Section
Area By Men And Days
1 solved MCQs shown directly below
Q 18 Mathematics Area By Men And Days
If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?
View answer & explanation Ans: 450
Correct Answer: 450
Area follows men and days: 80 x 36/8 x 30/24 = 450 hectares.
19
Topic Section
Combined Men And Women Work Rate
1 solved MCQs shown directly below
Q 19 Mathematics Combined Men And Women Work Rate
If 5 men or 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work?
View answer & explanation Ans: 15
Correct Answer: 15
5 men equal 9 women, so 3 men and 6 women equal 11.4 women: 9 x 19/11.4 = 15 days.
20
Topic Section
Spider Web And Day Rate
1 solved MCQs shown directly below
Q 20 Mathematics Spider Web And Day Rate
If 7 spiders make 7 webs in 7 days, then one spider will make one web in how many days?
View answer & explanation Ans: 7
Correct Answer: 7
One spider makes one web in 7 days: the spiders and webs scale together.
21
Topic Section
Pump Tonne Day And Hour Chain
1 solved MCQs shown directly below
Q 21 Mathematics Pump Tonne Day And Hour Chain
If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day?
View answer & explanation Ans: 7
Correct Answer: 7
Days follow pumps inversely, tonnes directly and hours inversely: 10 x 18/16 x 1736/2170 x 7/9 = 7 days.
22
Topic Section
Extra Men For Remaining Work
1 solved MCQs shown directly below
Q 22 Mathematics Extra Men For Remaining Work
20 men complete one-third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?
View answer & explanation Ans: 12
Correct Answer: 12
The remaining two-thirds in 25 days needs 20 x 20/25 x 2 = 32 men in all, so 32 - 20 = 12 more men.
23
Topic Section
Binders For Books And Days
1 solved MCQs shown directly below
Q 23 Mathematics Binders For Books And Days
If 18 binders bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?
View answer & explanation Ans: 11
Correct Answer: 11
Binders follow books directly and days inversely: 18 x 660/900 x 10/12 = 11 binders.
24
Topic Section
Rope Rounds By Cylinder Radius
1 solved MCQs shown directly below
Q 24 Mathematics Rope Rounds By Cylinder Radius
A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. How many times can it go round a cylinder with radius 20 cm?
View answer & explanation Ans: 49
Correct Answer: 49
Rounds follow radius inversely: 70 x 14/20 = 49 rounds.
25
Topic Section
Doubled Workers Halved Work
1 solved MCQs shown directly below
Q 25 Mathematics Doubled Workers Halved Work
Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in?
View answer & explanation Ans: 3 days
Correct Answer: 3 days
Twice the workers on half the work take 12 x 1/2 x 1/2 = 3 days.
26
Topic Section
Remaining Provisions After Men Leave Camp
1 solved MCQs shown directly below
Q 26 Mathematics Remaining Provisions After Men Leave Camp
In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now?
View answer & explanation Ans: 285
Correct Answer: 285
After 5 days, 95 x 195 = 18525 man-days remain for 65 men: 18525/65 = 285 days.
27
Topic Section
Remaining Provisions After Reinforcement
1 solved MCQs shown directly below
Q 27 Mathematics Remaining Provisions After Reinforcement
A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 men arrived. For how many more days will the remaining food last now?
View answer & explanation Ans: 15
Correct Answer: 15
After 3 days, 500 x 24 = 12000 man-days remain for 800 men: 12000/800 = 15 days.
28
Topic Section
Women Days With Man Woman Equivalence
1 solved MCQs shown directly below
Q 28 Mathematics Women Days With Man Woman Equivalence
15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?
View answer & explanation Ans: 30
Correct Answer: 30
The work is 15 x 21 x 8 = 2520 man-hours; 21 women equal 14 men, so 2520/(14 x 6) = 30 days.
29
Topic Section
Twice Work With Mixed Team
1 solved MCQs shown directly below
Q 29 Mathematics Twice Work With Mixed Team
If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day?
View answer & explanation Ans: 7.5
Correct Answer: 7.5
The work is 3 x 10 x 7 = 210 man-hours, twice is 420; 6 men and 2 boys equal 7 men, so 420/(7 x 8) = 7.5 days.
30
Topic Section
Mixed Men And Boys Team Rate
1 solved MCQs shown directly below
Q 30 Mathematics Mixed Men And Boys Team Rate
2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in:
View answer & explanation Ans: 21 days
Correct Answer: 21 days
From the two teams, 1 man equals 2 boys, so the work is 154 boy-days; 8 men and 6 boys equal 22 boys, and three times the work takes 462/22 = 21 days.
31
Topic Section
Weaver Mat And Day Rate
1 solved MCQs shown directly below
Q 31 Mathematics Weaver Mat And Day Rate
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
View answer & explanation Ans: 16
Correct Answer: 16
Mats follow weavers and days: 4 x 8/4 x 8/4 = 16 mats.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
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Questions
Paper practice FAQs
How many questions are in the Arithmetic: Chain Rule MCQ bank? +
31 questions published of 35 printed in the book. Four items are dropped, never guessed, because their correct value is not among the printed options: the field-reaping days (15 days), the mango price (Rs.459), the daily hours (9.6 hours) and the pump days (5.3 days), each zoom-verified against the scan.
What does the Arithmetic: Chain Rule bank cover? +
Direct and inverse proportion, unit price and weight, map scale, shadow heights, men-days-hours work, wages, remaining food provisions, meal sharing between men and children, combined men-women and men-boys teams, pump and loom rates, rope rounds, and binder, weaver and spider rates.
Are the answers in the Chain Rule bank verified? +
Yes. Every published answer was solved from scratch and checked against the book's printed Answer Key (p. 754); the key agrees on all 31 published items, and the four dropped items are recorded with their correct values and the reason they cannot be published as printed.
Which exams does the Chain Rule bank help with? +
It is drawn from an FPSC model-paper book, but chain-rule and proportion 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.