Chain Rule - Aptitude Questions and Answers | Online Chain Rule MCQ Aptitude Test
Quiz Name
Chain Rule
Category
Online Aptitude Test
Number of Questions
15
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. Three pumps running for eight hours a day may empty a tank in two days. To empty the tank in one day, how many hours must four pumps operate each day?
a. 9
b. 10
c. 11
d. 12
Answer: D
Explanation:
Let x be the minimum number of working hours each day.Less working hours per day, more pumps (Indirect Proportion).There are fewer days in the week, but there are more hours in the day (Indirect Proportion).Days 1 : 2 Pumps 4 : 3 : 8 : ,3 x 2 x 8 = 4 x 1 x x,x = (3 x 2 x 8) x = (3 x 2 x 8) x = (3 x 2 x (4),x equals 12.
2. If the cost of x metres of wire is d rupees, how much does y metres of wire cost at the same rate?
a. Rs. xy/d
b. Rs. (xd)
c. Rs. (yd)
d. Rs. yd/x
Answer: D
Explanation:
The price of x metres is Rs. d.One metre costs Rs. d/x.y metres cost = Rs. d/x - y metres cost = Rs. yd/x
3. Six similar machines running at the same steady rate can create a total of 270 bottles each minute. How many bottles might ten of these machines make in four minutes at this rate?
a. 648
b. 1800
c. 2700
d. 10800
Answer: B
Explanation:
Let x be the number of bottles necessary.More bottles, more machinery (Direct Proportion)
More bottles, more minutes (Direct Proportion),6 : 10 : 270 : x Time Machines (in minutes),10 x 4 x 270 = 1: 4 6 x 1 x x,10 x 4 x 270 = x/ (6),x equals 1800.
4. A fort had enough food to feed 150 soldiers for 45 days. Twenty-five soldiers fled the fort after ten days. The remaining food will last for the following number of days:
a. 29 1/5
b. 37 1/4
c. 42
d. 54
Answer: C
Explanation:
After ten days, 150 guys had enough food to last 35 days.Assume that 125 guys were fed for x days.Now that there are fewer males, there are more days (Indirect Proportion),125 : 150 : 35 : x 125 x x = 150 x 35 x ,x = 150 x 35/125 x = 150 x 35/125 x = 150 x 35,42 = x.
5. A road may be repaired in 12 days by 39 people working 5 hours each day. How many days would it take 30 people working 6 hours each day to do the job?
a. 10
b. 13
c. 14
d. 15
Answer: B
Explanation:
Let x be the number of days necessary.Fewer people, more days (Indirect Proportion)The number of working hours each day is increasing, while the number of days is decreasing (Indirect Proportion),30 : 39 : 12 : x Working hours/day Persons 30 : 39 : 12 : x Working hours/day,30 x 6 x x = 39 x 5 x 12 x 6 , x= (39 x 5 x 12)/(39 (30 x 6),x equals 1.
6. A man finishes a work in ten days. How many more days will it take him to accomplish the task at this rate?
a. 5
b. 6
c. 7
d. 7 1/2
Answer: C
Explanation:
Work completed = 5/8,1 - 5/8 = 3/8; balance work = 1 - 5/8 = 3/8; balance work = 1 - ⅝,Let x be the number of days necessary.5/8 : 3/8 = :: 10 : x 5/8 x x = 3/8 x x = 3/8 x x = 3/8 x 10 x 8/5,x equals 6.
7. How much does 200 gm of potato cost if a 1⁄4 kilogramme costs 60 paise?
a. 48 paise
b. 54 paise
c. 56 paise
d. 72 paise
Answer: C
Explanation:
Let's say the necessary weight is x kg.Less weight means less money (Direct Proportion),x 250 x x = x 250 x x = x 250 (200 x 60),(200 x 60)/250 ,x equals 48.
8. In 40 days, 40 cows on a dairy farm consume 40 bags of husk. How long does it take a cow to consume a bag of husk?
a. 1
b. 1/40
c. 40
d. 80
Answer: A
Explanation:
Let x be the number of days necessary.More days, fewer cows (Indirect Proportion).Fewer baggage, fewer days (Direct Proportion),1 x 40 x x = 40 x 1 x 40 ,x equals 40.
9. A six-cog wheel is meshing with a bigger fourteen-cog wheel. When the smaller wheel has completed 21 rotations, the larger wheel has completed the following amount of revolutions:
a. 4
b. 9
c. 12
d. 49
Answer: A
Explanation:
Let x be the number of revolutions required by the bigger wheel.Then there will be more cogs and fewer rotations (Indirect Proportion),x 14 x x = 6 x 21 x 14 x ,6 x 21/14 = x.x equals 9.
10. If seven spiders create seven webs in seven days, how many days would it take one spider to make one web?
a. 1
b. 7/2
c. 7
d. 49
Answer: C
Explanation:
Let x be the needed number of days.More days, fewer spiders (Indirect Proportion),Fewer webs, fewer days (Direct Proportion),1 x 7 x x = 7 x 1 x 7 Spiders 1 : 7 :: 7 : x Webs 7 : 1 1 x 7 x x = 7 x 1 x 7,x equals 7.
11. A 17.5-meter-high flagstaff throws a 40.25-meter-long shadow. Under comparable conditions, the height of the structure that throws a shadow of length 28.75 m will be:
a. 10 m
b. 12.5 m
c. 17.5 m
d. 21.25 m
Answer: B
Explanation:
Let the building's height be x metres.There is a reduction in the length of the shadow and a reduction in the height (Direct Proportion),40.25 : 28.75 : 17.5 : x 40.25 x x = 28.75 x 17.5 x x ,x = 28.75 x 17.5/40.25 x = 28.75 x 17.5/40.25 x = 28.75,12.5 = x.
12. A dinner for 120 men or 200 youngsters is served at a camp. How many men will be fed with the leftover dinner if 150 youngsters have eaten it?
a. 20
b. 30
c. 40
d. 50
Answer: B
Explanation:
A lunch for 200 youngsters is provided. The lunch has been consumed by 150 youngsters.The remaining supper will be prepared for 50 youngsters.Now there are 200 children and 120 males.30 males = 120 x 50 /200 = 50 children.
13. Every second, an industrial loom weaves 0.128 metres of cloth. How long will it take for the loom to weave 25 metres of cloth?
a. 178
b. 195
c. 204
d. 488
Answer: B
Explanation:
Allow x seconds for the needed time.More time, more metres (Direct Proportion),1 : x 0.128x = 25 x 1 : 0.128 : 25 :: 1 : 0.128 : 25 :: 1 : 0.128 : 25 :: 1 ,25 x 1000/128 = x = 25/0.128,195.31 is the value of x.,195 seconds are required (approximately).
14. A piece of work may be completed in 18 days by 36 men. How long will it take 27 workers to perform the same task?
a. 12
b. 18
c. 22
d. 24
Answer: D
Explanation:
Let x be the number of days necessary.More days, fewer guys (Indirect Proportion),27 : 36 : 18 : x 27 x x = 36 x 18 : x 27 x x = 36 x 18 : x 27 x x = 36 x 18 :36 x 18/27 = x,x equals 24.
15. In four days, four mat-weavers may weave four mats. How many mats could 8 mat-weavers weave in 8 days if they worked at the same rate?
a. 4
b. 8
c. 12
d. 16
Answer: D
Explanation:
Let x be the number of bottles necessary.More mats, more weavers (Direct Proportion).There will be more days, and there will be more mats (Direct Proportion).Days 4 : 8 Wavers 4 : 8 Wavers 4 : 8 Wavers 4 : 8 Wavers 4 : 8 Wavers 4 : 8 Wavers 4 : 8 Wavers 4
8 x 8 x 4 x 4 x 4 x4,x = (8 x 8 x 4) x = (8 x 8 x 4) x = (8 x 8 x (4 x 4),x equals 16.
Please read it carefully and eligible candidate can apply for this post before this Opening will get closed. Current Government and Private vacancies are updated regularly with details. To get more Latest JobUpdate like our Facebook Fan Page. Hope the information is helpful for all job seekers. Keep visiting Freshers Job for Latest Freshers Jobs, off campus drives,walk-in interviews in India.
