Mathematics Questions For All Teaching Exams: 31st July 2019

Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.Because in this section only one thing is work i.e your accuracy and that could be nourished with the daily practice. So, for this, we are providing you the daily quiz for all teaching exams i.e CTET Exam 2019DSSSB ,KVS,STET Exam.

Q1. The volume of the largest right circular cone that can be cut out of a cube, whose edge is 9 cm, is
सबसे बड़े सम वृताकार शंकु का आयतन ज्ञात कीजिये जिसे एक 9से.मी की भुजा वाले घन से निकाला जा सकता है:
(a) 2673/14 cm³
(b) 2683/14 cm³
(c) 2693/14 cm³
(d) None of the above/उपरोक्त में से कोई नहीं

Q2. A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm each are dropped in it and they sink down in the water completely. The change in the level of water in the jar is
आंतरिक रूप से 10से.मी की व्यास वाले एक जार को पानी से भर दिया जाता है. प्रत्येक 2से.मी की व्यास वाली दो गोलाकार गेंदों को इसमें डाला जाता है और वे इसमें पूरी तरह डूब जाती हैं. जार के पानी के स्तर में कितना बदलाव आएगा:
(a) 15/16 cm
(b) 16/25 cm
(c) 16/75 cm
(d) None of these/इनमें से कोई नहीं

Q3. The radii of the ends of a bucket of height 24 cm are 15 cm and 5 cm. Find its capacity.
एक 24से.मी की ऊंचाई वाली बाल्टी के छोरों की त्रिज्याएँ क्रमश: 15से.मी और 5से.मी है. इसकी क्षमता ज्ञात कीजिये:
(a) 8172.64 cm³
(b) 8171.43 cm³
(c) 8070 cm³
(d) None of the above/उपरोक्त में से कोई नहीं

Q4. One cubic meter piece of copper is melted and recast into a square cross section bar, 36 m long. An exact cube is cut off from this bar. If 1 m³ of copper cost is Rs. 108, the cost of this cube is
एक घनीय मीटर तांबे के टुकड़े को पिघला कर एक 36मी लंबे वर्ग क्रॉस सेक्शन बार में पुन: निर्मित किया जाता है. इस बार में से एक सटीक घन निकाल लिया जाता है. यदि 1मी3 तांबे की कीमत 108 रूपये है, घन की कीमत है:
(a) 30 paise
(b) 40 paise
(c) 50 paise 
(d) None of the above/उपरोक्त में से कोई नहीं

Q5. The dimensions of a field are 12 m × 10 m. A pit 5 m long, 4 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. The level of the field is raised by 
एक खेत के आयाम 12मी X 10मी है. खेत के एक कोने में 5मी लंबा, 4मी चौड़ा और 2मी गहरा गढ़ा खोदा जाता है और निकाली गई मिट्टी को खेत के शेष भाग में समान रूप से फैला दिया जाता है. खेत का स्तर में कितनी वृद्धि हुई?
(a) 30 cm
(b) 35 cm
(c) 38 cm
(d) 40 cm
Q7. The perimeter of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of two square is 
दो वर्गों का परिमाप 40से.मी और 32से.मी है. तीसरे वर्ग का परिमाप ज्ञात कीजिये जिसका क्षेत्रफल दिए गए दोनों वर्गों के क्षेत्रफल का अंतर है:
(a) 24 cm
(b) 42 cm
(c) 40 cm
(d) 20 cm

Q8. The sides of a triangle are 3cm, 4 cm and 5 cm. The area of the triangle formed by joining the mid points of this triangle is
एक त्रिभुज की भुजाएं 3से.मी, 4से.मी और 5से.मी है. इसके मध्य बिंदुओं को जोड़कर निर्मित त्रिभुज का क्षेत्रफल ज्ञात कीजिये:
(a) 3 cm²
(b) 6 cm²
(c) 3/2 cm²
(d) 3/4 cm²

Q9. The difference between the areas of two squares drawn on two line segment of different length is 32 cm², the length of the greater line segment, if one is longer than the other by 2 cm is
दो विभिन्न लंबाई के रेखा खंडों पर निर्मित दो वर्गों के क्षेत्रफल के मध्य का अंतर 32 cm² है, बड़े रेखा खंड की लंबाई ज्ञात कीजिये यदि एक रेखा खंड दूसरे से 2से.मी लंबा है:
(a) 7 cm
(b) 9 cm
(c) 11 cm
(d) 16 cm

Q10. In the given figure, OABC is a rhombus where three vertices A, B and C lies on the circle of radius 10 cm. The area of rhombus is
दिए गए चित्र में, OABC एक समचतुर्भुज है जहाँ A, B और C एक 10से.मी की त्रिज्या वाले वृत्त में हैं. समचतुर्भुज का क्षेत्रफल है:
(a) 50√3 cm²
(b) 100√3 cm²
(c) 75√3 cm²
(d) 125√3 cm²
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