@⇒ Aptitude ⇒ Chain Rule Multiple Choice Questions / Objective type questions, MCQ's, with question and answers, download free PDF, short cut notes, rapid fire notes, best theory

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Q1.	10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ?
A.	6 [Correct Answer]
B.	10 [Wrong Answer]
C.	12 [Wrong Answer]
D.	15 [Wrong Answer]
View Answer 7 -5 Explanation:- Answer : A Discuss it below : Let the required number of hours per day be x. More men, Less hours per day (Direct Proportion) Less days, More hours per day (Direct Proportion) ^{Men 15 : 10} _{:: 6 : x} ^{Days 12 : 18} so 15 X 12 X x = 10 X 18 X 6 _{x =} ^{10 X 4 X 270} _{<=> x = 6.} ^{15 X 12} Click here for more comments


Q2.	Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes ?
A.	648 [Wrong Answer]
B.	1800 [Correct Answer]
C.	2700 [Wrong Answer]
D.	10800 [Wrong Answer]
View Answer 5 -2 Explanation:- Answer : B Discuss it below : Let the required number of bottles be x. More machines, More bottles (Direct Proportion) More minutes, More bottles (Direct Proportion) ^{Machines 6 : 10} _{:: 270 : x} ^{Time (in Minutes) 1 : 4} so 6 X 1 X x= 10 X 4 X 270 _{x =} ^{10 X 4 X 270} _{<=> x = 1800.} ⁶ Click here for more comments


Q3.	If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days ?
A.	350 [Wrong Answer]
B.	400 [Wrong Answer]
C.	425 [Wrong Answer]
D.	450 [Correct Answer]
View Answer 7 -3 Explanation:- Answer : D Discuss it below : Let the required number of hectares be x. Then, More men, More hectares (Direct Proportion) More days, More hectares (Direct Proportion) ^{Men 8 : 36} _{:: 80 : x} ^{Days 24 : 30} so 8 X 24 X x = 36 X 30 X 80 _{x =} ^{(36 X 30 X 80)} _{<=> x = 450.} ^{(8 X 24)} Click here for more comments


Q4.	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 catered to with the remaining meal ?
A.	20 [Wrong Answer]
B.	30 [Correct Answer]
C.	40 [Wrong Answer]
D.	50 [Wrong Answer]
View Answer 5 -3 Explanation:- Answer : B Discuss it below : There is a meal for 200 children. 150 children have taken the meal. Remaining meal is to be catered to 50 children. Now, 200 children = 120 men 50 children = ( ¹²⁰/₂₀₀ X 50 ) men = 30 men. Click here for more comments


Q5.	A flagstaff 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 coAditions will be :
A.	10 m [Wrong Answer]
B.	12.5 m [Correct Answer]
C.	17.5 m [Wrong Answer]
D.	21.25 m [Wrong Answer]
View Answer 5 -2 Explanation:- Answer : B Discuss it below : Let the height of the building be x metres Less lengthy shadovv, Less is the height (Dirert Proportion) 40.25 : 28.75 : 17.5 : x <=> 40.25 X x = 28.75 X 17.5 _{x =} ^{(28.75 x 17.5)} _{<=> x = 12.5.} ^40.25 Click here for more comments

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