CBSE Class 10 Sherpa Question Paper 2017 with Answer Key (March 23, Set 4- (61))

CBSE X Questions

• 1.

  The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

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• 2.

  Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

  • $\frac{5}{12}$
  • $\frac{5}{6}$
  • $1$
  • $0$
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• 3.

  The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

  • $1$
  • $-5$
  • $25$
  • $\sqrt{5}$
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• 4.

  Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
  Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • Assertion (A) is true, but Reason (R) is false.
  • Assertion (A) is false, but Reason (R) is true.
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• 5.

  A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

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• 6.

  Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

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