RRB JE Mensuration 2D Questions: 16th Feb

Dear aspirants,

As you all know, RRB JE Exam will be held in the month of april/may 2019. So we are here to help you with the Mathematics subject. We are providing daily quantitative aptitude quizzes, which will help you to score good marks in this section. We aim to provide the best study material to our readers with exam level questions to help them get used to the recent pattern. Attempt this quiz and check your preparation. 

Q1. The area of a rectangular field is 52000 m². This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field is :
एक आयताकार मैदान का क्षेत्रफल 52000 वर्ग मी. है। यह आयताकार क्षेत्र एक मानचित्र पर 1 सेमी से 100 मी तक के पैमाने से खींचा जाता है। मानचित्र पर लम्बाई 3.25 सेमी दिखाई देती है। आयताकार मैदान की चौड़ाई है:
(a) 210 m
(b) 150 m
(c) 160 m
(d) 123 m

Q2. The base of a triangular field is three times its height. If the cost of cultivating the field at Rs. 36.72 per hectare is Rs. 495.72, find the height and base of the triangular field: (1 hectare = 10000 m² )
एक त्रिभुजाकार मैदान का आधार इसकी ऊंचाई का तीन गुना है। यदि मैदान की जुताई की लागत 36.72 रु/हेक्टेयर की दर से 495.72 रु है, तो उस त्रिभुजाकार मैदान की ऊंचाई और आधार ज्ञात कीजिए: (1 हेक्टेयर = 10000 वर्ग मी)
(a) 480 m, 1120 m
(b) 400 m, 1200 m
(c) 300 m, 900 m
(d) 250 m, 650 m

Q3. The inner circumference of a circular path around a circular lawn is 440 m. What is the radius of the outer circumference of the path, if the path is 14 m wide?
एक वृत्ताकार लॉन के चारों ओर स्थित एक वृत्ताकार पथ की अंत: परिधि 440 मी है। यदि पथ की चौड़ाई 14 मी है, तो पथ की बाह्य परिधि की त्रिज्या ज्ञात कीजिए।
(a) 96 m
(b) 84 m
(c) 70 m
(d) 88 m

Q4. The area of a circular field is 124.74 hectares. The cost of fencing it at the rate of 80 paise per metre is :
एक वृत्ताकार मैदान का क्षेत्रफल 124.74 हेक्टेयर है। 80 पैसे प्रति मीटर की दर से इसमें बाड़ लगाने की लागत है:
(a) Rs. 3168
(b) Rs. 1584
(c) Rs. 1729
(d) None of these

Q5. A circle of radius ‘a’ is divided into 6 equal sectors. An equilateral triangle is drawn on the chord of each sector to lie outside the circle. Area of the resulting figure is :
‘a’ त्रिज्या वाले एक वृत्त को 6 बराबर त्रिज्यखंडों में बांटा जाता है। प्रत्येक त्रिज्यखंड की जीवा पर खींचा गया एक समबाहु त्रिभुज वृत्त के बाहर स्थित है। परिणामी आकृति का क्षेत्रफल ज्ञात कीजिए।
(a) 6 m
(b) 3√3 a²
(c) 3(a² √3+π)
(d) (3√3 πa²)/2

Q6.In the following figure, the area in (cm² ) is :
निम्नलिखित आकृति में, क्षेत्रफल (वर्ग सेमी) में है:

(a) 115.5
(b) 228.5
(c) 154
(d) None of the above

Q7. What is the radius of the circular field whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m, 9 m and 12 m respectively?
एक वृत्ताकार मैदान की त्रिज्या क्या है जिसका क्षेत्रफल तीन छोटे वृत्ताकार मैदानों, जिनकी त्रिज्यायें क्रमश: 8 मी, 9 मी और 12 मी हैं, के क्षेत्रफलों के योग के बराबर है?
(a) 17 m
(b) 20 m
(c) 21 m
(d) 29 m

Q8. A rope by which a calf is tied is decreased from 23 m to 12 m. What is the decrease in area to be grazed by it?
एक रस्सी, जिससे एक बछड़े को कसकर बाँधा गया है, को 23 मी से घटाकर 12 मी कर दिया जाता है। तो बछड़े द्वारा चरे जाने वाले क्षेत्रफल में कितनी कमी होगी?
(a) 1110 m²
(b) 1210 m²
(c) 1120 m²
(d) 1221 m²

Q9.Four horses are tethered at four corners of a square plot of 42 m so that they just cannot reach one another. The area left unglazed is :
चार घोड़े 42 मी के एक वर्गाकार मैदान के चारों कोनों पर इस तरह से बांधे जाते हैं, कि वे एक-दूसरे तक न पहुँच सकें। उस क्षेत्र का क्षेत्रफल ज्ञात कीजिए जिसे चरा नहीं जाता है?
(a) 378 m²
(b) 438 m²
(c) 786 m²
(d) None of these

Q10.A figure consists of a square of side ‘a’ m with semicircles drawn on the outside of the square. The area (in m² ) of the figure so formed will be :
आकृति में ‘a’ मी भुजा वाला एक वर्ग है, वर्ग के बाहर चारों भुजाओं पर एक अर्धवृत्त खींचा गया है। इस तरह से निर्मित आकृति का क्षेत्रफल (वर्ग मी में) ज्ञात कीजिए।


(a) a² (π+1)
(b) a²(π+1/4)
(c) a²+(πa²/2
(d) None of these

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