CBSE Class 10 Sanskrit Question Paper 2018 with Answer Key (April 2, Set 4)

CBSE X Questions

• 1.

  Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

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• 2.

  If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

  • $x^2 + 5x - 4$
  • $(x + 3) (-x + 8)$
  • $a(x^2 + 5x - 24)$
  • $x^2 - 24$
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• 3.

  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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• 4.

  PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.
  

  

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• 5.

  Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

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• 6.

  A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

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