9th_surfaceareaci (1).docx - IIT-JEE AIPMT Engineer Your...

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IIT-JEE/ AIPMT Engineer Your Education to Success with a Group Exclusive of NITIANS Time- 1:30hrs MATHEMATICS XI th Max. Marks- 50 TEST-3 Topics- Compound Interest & Mensuration NOTE: From Q1 to Q4 each carries 2 marks From Q5 to Q8 each carries 3 marks From Q9 to Q13 each carries 4 marks Q14 and Q15 each carries 5 marks Q1. The volume of two hemispheres are in ratio 8:27 find the ratio of their radii. Q2. Find the longest pole that can be inserted in a room of dimention 10 x 10 x 10 (in m) Q3. A certain sum amounts to $ 72900 in 2 years at 8% per annum compound interest, compounded annually. Find the sum. Q4. A man deposited $1000 in a bank. In return he got $1331. Bank gave interest 10% per annum. How long did he kept the money in the bank? Q5. A 3cm. Thick iron open box is made whose external dimentions are 78cm x 54 cm x 12 cm. Find the weight of the box if its density is 60gm/cm 3 . Q6. The difference between CI and SI on Rs.5000 in 3 years is Rs. 155. Find the rate Q7. If L, B, H, S and V are length, breadth, height, surface area and volume respectively of a cuboid, prove that 1 V = 2 S ( 1 L + 1 H + 1 B ) Q8. Find the volume of the greatest sphere that can be cut of a cube of side 14 cm. Find the volume
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