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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 501. |
Fill in the blanks to make the statement true.The perimeter of a rectangle becomes __________ times its original perimeter, if its length and breadth are doubled. |
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Answer» Two times Explanation: We know that the perimeter of a rectangle is 2(l+b) When the length and breadth of the perimeter are doubled, we will get P = 2(2l +2b) Now take 2 outside, P = 2 [2(l+b)] |
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| 502. |
if the length of a rectangle is equal to the breadth of the rectangle then the rectangle becomes a |
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Answer» Correct Answer - square NA |
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| 503. |
The side of an equilateral triangle is 672-cm long, then the perimeter of the triangle is |
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Answer» Correct Answer - 2016 cm The side of an equilateraol triangle `(a) =672 cm` `therefore` Perimeter of the equilateral triangle `=3a=3(672)=2016cm` |
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| 504. |
Find the perimeter of an equilateral triangle with side 8 cm. |
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Answer» Correct Answer - 24 cm Perimeter `=8+8+8=24cm` |
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| 505. |
A 10 -m long hall has a floor area of `100 m^2`. Find its perimeter. |
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Answer» Correct Answer - 40 m Area of hall `=lxxb` `100=10xxb` `b=100//b` `b=10 m` Perimeter `-2(10+10)=40m` |
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| 506. |
Find the side of a cube whose surface area is 600 cm2. |
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Answer» Given that, surface area of cube = 600 cm2 Let the length of each side of cube be l. Surface area of cube = 6 (Side)2 600 cm2 = 6l2 l2= 100 cm2 l = 10 cm Thus, the side of the cube is 10 cm. |
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| 507. |
Border of a square-shaped frame which is 16-cm long needs to be painted. If the cost of painting 1 m of border is rupees 4, how much would it cost to paint the entire border of the frame ? |
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Answer» Correct Answer - ₹ 256 Perimer of the frame `=4xx16=64m` Painting cost for 1m =rupees 4 Painting cost for `64m=₹ 4xx64 =₹ 256`. |
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| 508. |
Rukhsar painted the outside of the cabinet of measure 1 m × 2 m × 1.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet? |
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Answer» Length (l) of the cabinet = 2 m Breadth (b) of the cabinet = 1 m Height (h) of the cabinet = 1.5 m Area of the cabinet that was painted = 2h (l + b) + lb = [2 × 1.5 × (2 + 1) + (2) (1)] m2 = [3(3) + 2] m2 = (9 + 2) m2 = 11 m2 |
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| 509. |
Find the maximum length of the side of a square sheet that can be cut off from a rectangular sheet of size `8mxx3m`.A. 3 mB. 4 mC. 6 mD. 4 m |
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Answer» Correct Answer - A The maximum length of side of the squre = The breadth of the rectangle = 3m |
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| 510. |
The volume of a cube is `729cm^(3)`, then the length of its edge is _________.A. 9 mB. 7 mC. 5 mD. 3 m |
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Answer» Correct Answer - A Given, `a^(3)=729rArra=9m` |
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| 511. |
Length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively. A rectangular piece is cut from the sheet as shown in Fig. 6.6. Which of the following statements is correct for the remaining sheet?(A) Perimeter remains same but area changes.(B) Area remains the same but perimeter changes. (C) Both area and perimeter are changing. (D) Both area and perimeter remain the same. |
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Answer» (A) Perimeter remains same but area changes. |
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| 512. |
The length and breadth of a rectangular sheet of a paper are 50 cm and 30 cm, respectively. A square of side 5 cm is cut and removed form the four corners of the sheet, and the rest of the pater is folded to form a cuboid (without the top face). Find the edge of the cube whose volume is one-fourth the volume of the cuboid so formed. |
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Answer» Volume of the cuboid formed=`(50-2xx5)xx(30-2xx5)xx5` `=40xx20xx5` `=4000cm^(3)` Let the edge of the cube be x cm. `therefore" The volume of the cube"=x^(3)` Given, `4x^(3)=4000` `rArrx^(3)=1000` `rArrx=10cm` `therefore" The edge of the cube whose volume is equal to the cuboid formed = 10 cm"` |
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| 513. |
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is(a) 6 cm (b) 8 cm (c) 12 cm (d) 24 cm |
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Answer» The correct answer is option (a) 6 cm Explanation: Given that, the metal sheet dimension is 27 cm long, 8 cm broad and 1 cm thick. Thus, the volume of the sheet = (27)(8)(1) = 216 cm3 It is given that, the metal sheet is melted to make a cube Let the edge be “a” Hence, a3 = 216 cm3 a = 6 cm |
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| 514. |
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is(a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm |
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Answer» The correct answer is option (a) 12 cm Explanation: Given that, the sum of the volume of the three metal cubes = 63 + 83 +103 V = 216+ 512+ 1000 V = 1728 cm3 Let the side of the new cube be “a” Therefore, the volume of the new cube = sum of the volume of the three cubes a3 = 1728 Hence, a = 12 cm |
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| 515. |
The ratio of radii of two cylinders is 1: 2 and heights are in the ratio 2:3. The ratio of their volumes is(a) 1:6 (b) 1:9 (c) 1:3 (d) 2:9 |
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Answer» The correct answer is option (a) 1:6 Explanation: Assume that r and R be the radii of the two cylinders and h and H be the height of the two cylinders It is given that r/R = ½ and h/H = 2/3 We know that the volume of a cylinder = πr2 h Now, v/V = πr2 h / πR2 H v/ V = (r/R)2 (h/H) v/V = (1/2)2 (2/3) v/V = (1/4) (2/3) = 1/6 Therefore, the ratio of their volume is 1/6 |
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| 516. |
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is(a) 85,000 cm3 (b) 80,000 cm3 (c) 82,125 cm3 (d) 84,000 cm3 |
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Answer» The correct answer is option (c) 82,125 cm3 Explanation: The thickness of the wooden box is 2.5 cm Then the outer measure of the wooden box be 115+5, 75+5, 35+5 Thus, the outer volume be = (120)(80)(40) Outer volume = 384000 cm3 Given that, the inner volume = (115)(80)(40) Inner volume = 301875 cm3 Hence, the volume of a wood = Outer volume – Inner volume V = 384000 – 301875 cm3 V= 82125 cm3 |
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