CBSE Class 12 Human Rights And Gender Studies Compartment Question Paper 2017 with Answer Key (July 17)

CBSE CLASS XII Questions

• 1.

  Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

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• 2.

  Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.

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• 3.

  Aakash and Baadal entered into partnership on 1st October, 2023 with the capitals of Rs 80,00,000 and Rs 60,00,000 respectively. They decided to share profits and losses equally. Partners were entitled to interest on capital @ 10\% per annum as per the provisions of the partnership deed. Baadal is given a guarantee that his share of profit, after charging interest on capital will not be less than Rs 7,00,000 per annum. Any deficiency arising on that account shall be met by Aakash. The profit of the firm for the year ended 31st March, 2024 amounted to Rs 13,00,000. Prepare Profit and Loss Appropriation Account for the year ended 31st March, 2024.
  

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• 4.

  ‘But the game he is watching so intently is out of his reach.’ What are the factors that have made their game inaccessible to Saheb? (Lost Spring)
  

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• 5.

  Ram and Shyam were partners in a firm sharing profits and losses in the ratio of 5 : 3. Mohan was admitted as a new partner for \( \frac{1}{5} \)th share in the profits of the firm. Mohan brought ₹ 2,50,000 as his share of capital and ₹ 2,00,000 as his share of goodwill premium. The value of the firm’s goodwill was :

  • ₹ 2,00,000
  • ₹ 4,50,000
  • ₹ 12,50,000
  • ₹ 10,00,000
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• 6.

  If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

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