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Question Bank - Geometry - Hemant Malhotra

Smitirupa Mahapatra last edited by

@hemant_malhotra Ans 7.4?

r= sqrt(6.75^2+3.05^2)= 7.41 approx.
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Smitirupa Mahapatra last edited by @hemant_malhotra

@hemant_malhotra Ans 26 ?
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Smitirupa Mahapatra last edited by @hemant_malhotra

@hemant_malhotra Sir, 49? Two triangles can be formed, one with ABC 24 area and another with ACD 25 area.
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Tulip Roy last edited by @hemant_malhotra

@hemant_malhotra By similarity d.5/4
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Tulip Roy last edited by @hemant_malhotra

@hemant_malhotra b. 18rt2
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prat77ju last edited by @hemant_malhotra

@hemant_malhotra a+p = 2l+2b+lb = (l+2)(b+2)-4 = 100/102/104/106/108 only 102+4 = 106= 53*2 not possible . so 102 ?
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sudheer last edited by sudheer @hemant_malhotra

@hemant_malhotra Is 43 the maximum perimeter possible ?
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sudheer last edited by @hemant_malhotra

@hemant_malhotra using mass point geometry i got answe as 1/2 (144)=72 ?
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Harsha Vardhan Reddy last edited by @hemant_malhotra

@hemant_malhotra 50 intersection points ??
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Harsha Vardhan Reddy last edited by @hemant_malhotra

@hemant_malhotra 7.4 is the answer !!
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Question Bank - Geometry - Shashank Prabhu, CAT 100 Percentiler
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Q96) From a rectangular sheet of dimensions 30 cm × 20 cm, four squares of equal size are cut from the four corners. Then the resulting four sides are bent upwards to give it the shape of an open box. If the volume of the box is 1056 cm^3, what is the length of the side of the squares cut from the corners? [OA: 4]
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General term - nCr * (x^2)^(n-r) (3y)^r It is given that 2n - 2r + r = 52n - r = 5n = 4 => r = 3 So the term we have here is 4C3 * (x^2)^1 (3y)^3Coefficient = 4C3 * 3^3 = 4 * 27 = 108
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The roots are a and b: a + b = p and ab = 12 (a + b)^2 = p^2 (a - b)^2 = (a + b)^2 - 4ab => (a - b)^2 = p^2 - 12 * 4 = p^2 - 48 If |a - b| ≥ 12 { Difference between the roots is at least 12} then, (a - b)^2 ≥ 144 p^2 - 48 ≥ 144 p^2 ≥ 192 P ≥ 8√3 or P ≤ -8√3
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f(7)^2 - f(6)^2 = 517 (f(7) + f(6)) (f(7) - f(6)) = 517 = 11 x 47 As 11 and 47 cannot be further factorized and f(7) or f(6) should be natural numbers, we can say f(7) + f(6) = 47 (Largest prime factor should come from their sum) f(7) - f(6) = 11 (smallest prime factor should come from their difference) solving, f(7) = 29 and f(6) = 18 f(10) = f(8) + f(9) = f(7) + f(6) + f(7) + f(8) = f(7) + f(6) + f(7) + f(7) + f(6) 3f(7) + 2f(6) = 3 x 29 + 2 x 18 = 123.
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@manaswini Rohan's speed is 9 times than sohan.. so when Sohan completes 3 rounds, Rohan completes 3 * 9 = 27 rounds. 27 times ?
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