Civil Engineering - UPSC Civil Service Exam Questions - Discussion

13. 

A plan of an area drawn with the original scale of 1 cm = 10 m, has shrunk such that a line, originally 15 cm long on the plan, measures now 14.5 cm. The shrunk scale is given by 1 cm equal to

[A]. 0.97 m
[B]. 9.70 m
[C]. 10.34 m
[D]. 10.97 m

Answer: Option C

Explanation:

No answer description available for this question.

Basavaraja K M said: (Feb 24, 2015)  
= 10*15 equals 150.

= 150/154.5 equals 10.34.

Jitender Singh said: (Feb 19, 2017)  
Since, true length =( wrong scale ÷ correct scale) * measured length.

Here now true length will be = 14.5 cm as we have to find the scale for it. Wrong scale will then be 10 and measured length 15.
14.5= (10 ÷correct scale) x 15.

Pawan said: (May 24, 2017)  
1cm =1000cm.
15cm = 15000cm.
14.5cm = 15000/14.5 = 1034.45152cm.
= 10.34m.

Sadashiva said: (Aug 19, 2017)  
Shrunk scale=original scale * shrinkage factor.
Shrinkage factor=Shrunk lenth/actual length.
=15/14.5.
=1.034.

Shrunk scale = 10 * 1.034.
= 10.34m.

Sinhmar Gurbaksh Singh said: (Dec 10, 2017)  
Nice explaination @Sadashiva.

Anand said: (Sep 9, 2018)  
Thanks for your explanation @Sadashiva.

Kaushiki Mishra said: (May 25, 2019)  
Thanks for the answer @Pawan.

Gayathri said: (Jul 27, 2019)  
Thanks for the formula @Sadashiva.

Ankit Singh said: (Jul 31, 2019)  
Shrunk factor = 145/150.
= 29/30.

Shrunk scale = original scale * SF.
= (1cm/1000cm) * (29/30).
= 1cm/ 1034cm.
Shrunk scale : 1cm = 10.30 m.

Shehin S Rahim said: (Aug 23, 2019)  
SHRUNK SCALE = SF * OS.

SF = SL/OL = 14.5CM/15CM.

SS = SF * OS = (14.5/15)*(1/1000) = 1/(15000/14.5) = 1/1034.48CM.
In m it's 10.34.

Chaitanya said: (Jan 22, 2020)  
Thanks for explaining.

Shankar Nehara said: (Aug 15, 2020)  
Shrunk scale = original scale /measured scale.
So, 15/14.5 = 10.34m.

Saurbh Kumar said: (Sep 4, 2020)  
In the problem has clearly said, it's problem of shrinkage:

So,

Shrinkage factor = 14.5÷15 = 0.966
Shrinkage scale = Shrinkage factor * original scale = 0.966 * 1/10 = 1/10 ÷ 0.966 = 1/10.35.
Shrinkage scale = 10.35 m.

Gitanjali Kumari said: (Sep 6, 2020)  
SHRUNK FACTOR=SHRUNK SCALE/ORIGINAL SCALE
=> 15/14.5
= 1.0344
SHRUNK SCALE = S.F * ORIG SCALE,
=1.0344 * 10 = 10.344m.

Sayan said: (Nov 3, 2020)  
Please explain in detail.

Lalit Kumar said: (Mar 11, 2021)  
Thanks @Shehin S Rahim.

Vijayakumar G said: (May 19, 2021)  
10 x (15÷14.5) = 10.34.

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