SSC CGL Mains Mensuration topic Questions : 9th September

Dear aspirants,

As you all know, the upcoming months are lined up with various important exams like SSC CGL Mains 2018, so we are here to help you with the subject that is common to all of the given exams. We are providing daily quantitative aptitude quizzes, practice 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.

Q2. If the area of the three adjacent faces of a rectangular box which meet in corner are 36 m² × 16 m² × 25² cm respectively. then the volume of the box is
यदि आयातकार बॉक्स के तीन आसन्न मुख जो कि कोनो पर मिलते हैं उनका क्षेत्रफल क्रमश: 36 से.मी ²x 16 से.मी² x 25 से.मी² है. तो बॉक्स का आयतन है:
(a) 120 cm³
(b) 170 cm³
(c) 160 cm³
(d) 180 cm³


Q3. The ratio b/w the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 16 km/hr completes one round in 15 minutes, then the area of the park is
आयताकार पार्क की लंबाई और चौड़ाई के बीच का अनुपात 3: 2 है. यदि कोई व्यक्ति 16 किमी/घंटा की गति से पार्क की बाउंड्री के साथ साइकिल चलाता है और 15 मिनट में एक चक्कर पूरा करता है, तो पार्क का क्षेत्रफल ज्ञात कीजिये
(a) 920000 m²
(b) 960000 m²
(c) 980000 m²
(d) 940000 m²


Q4. If the radius of a right circular cylinder open at both the ends is increased by 25% and the height of the cylinder is decreased by 50%. Then the curved surface area of the cylinder thus formed is
यदि दोनों ओर से खुले हुए एक लम्ब वृताकार बेलन कि त्रिज्या को 25% बढ़ा दिया जाता है और इसकी ऊंचाई को 50% घटा दिया जाता है. तो निर्मित बेलन का वक्र पृष्ठीय क्षेत्रफल ज्ञात करें:
(a) remains unaltered/समान रहता है
(b) is increased by 32.5%/32.5% की वृद्धि हुई है
(c) is increased by 37.5%/ 37.5% की वृद्धि हुई है
(d) is decreased by 37.5%/ 37.5% घट जाता है


Q5. A cylindrical pencil of diameter 2.4 cm has one of its end sharpened into a conical shape of height 2.1 cm. The volume of the material removed is.
एक बेलनाकार पेंसिल जिसका व्यास 2.4 से.मी है उसके एक कोने को 2.1 से.मी कि ऊंचाई वाले शंक्वाकार आकर में छील दिया जाता है. उसमें से हटाए गई सामग्री का आयतन कितना है?
(a) 6.336 cm³
(b) 8.336 cm³
(c) 9.226 cm³
(d) 7.226 cm³


Q6. A cubical block of side 7 cm is surmounted by a hemisphere of diameter equal to the side of the cube. Then find the total surface area of the solid.
7 सेमी भुजा का एक घनाकार खंड, गोलार्ध द्वारा अधिभूत है जिसका व्यास घन की भुजा के समान है. ठोस का कुल सतह क्षेत्र ज्ञात करें
(a) 332.5 sq. cm
(b) 409.5 sq. cm
(c) 371 sq. cm
(d) 294 sq. cm


Q7. A rectangular park 80 m long and 60 m wide has two concrete crossroads of equal width are running in the middle of the park and rest of the park had been used as a lawn. If the area of the lawn is 4125 m², then the width of the road is.
एक 80 मीटर लंबे और 60 मीटर चौड़े एक आयताकार पार्क के मध्य से होकर दो समान चौड़ाई के दो रास्ते गुजरते हैं, और शेष भाग लॉन के रूप में इस्तेमाल किया गया है। यदि लॉन का क्षेत्रफल 4125 मीटर2 है, तो रास्ते की चौड़ाई ज्ञात करें.
(a) 4 m
(b) 5 m
(c) 6 m
(d) 7 m


Q8. Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 70 cm, then find the area inside the square which is not bounded by the circles
समान त्रिज्या वाले चार वृत्त एक वर्ग में इस प्रकार बनाए गए हैं कि प्रत्येक वृत्त अन्य वृत्तों में से दो को स्पर्श करते हैं. यदि वर्ग की भुजा 70 सेमी है तो उस क्षेत्र के अंदर का क्षेत्रफल ज्ञात करें जो वृत्त से घिरा नहीं है
(a) 950 cm²
(b) 1000 cm²
(c) 1050 cm²
(d) 1150 cm²


Q.9 A hemispherical bowl of internal radius 36 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 12 cm and height 3 cm, then the number of bottles necessary to empty the bowl is
एक अर्धगोलाकार कटोरे की आंतरिक त्रिज्या 36 सेमी है, जिसमें तरल पदार्थ है. इस पदार्थ को 12 सेमी व्यास और 3 सेमी ऊँची छोटी बेलनाकार बोतलों में भरा जाता है. कटोरे को खाली करने के लिए कितनी बोतलों की आवश्यकता होगी?
(a) 288
(b) 252
(c) 144
(d) 154


Q10. In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in cm²) of shaded region ?
दी गयी आकृति में, एक चतुर्थ भाग में चार समान अर्धवृत्त खींचे जाते हैं. XA = 7 सेमी. छायांकित क्षेत्र का क्षेत्रफल (सेमी² में) ज्ञात करें

(a) 70
(b) 140
(c) 77
(d) 84

 

 

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