# 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

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.

 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.