CBSE Class 12 Mathematics Compartment Question Paper 2018 with Answer Key (July 16, Set 2- 65/2)

CBSE CLASS XII Questions

• 1.

  Anuj, Divij and Shilpa were partners in a firm sharing profits and losses in the ratio of 2:1:2. Their Balance Sheet as at 31st March, 2023 was as follows:

  Balance Sheet of Anuj, Divij and Shilpa as at 31st March, 2023

  Liabilities	Amount (Rs)	Assets	Amount (Rs)
  Capitals:		Land & Building	8,00,000
  Anuj 3,00,000		Furniture	2,40,000
  Divij 4,00,000		Stock	1,20,000
  Shilpa 5,00,000	12,00,000	Debtors	1,70,000
  Bills Payable	60,000	Cash	50,000
  Creditors	1,20,000
  	13,80,000		13,80,000

  Anuj retired on the above date on the following terms:

  (i) Anuj's share of goodwill was valued at Rs 90,000 and the same was to be treated without opening goodwill account.

  (ii) Revaluation of assets and reassessment of liabilities resulted in a gain of Rs 25,000.

  (iii) Amount due to Anuj was transferred to his loan account, to be paid in two equal yearly instalments plus interest @ 12% p.a. on the unpaid balance starting from 31st March, 2024.

  Prepare Partners' Capital Accounts and Anuj's Loan Account till it is fully discharged.

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• 2.

  A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

  • the induced current will flow in the anticlockwise direction.
  • the induced current will flow in the clockwise direction.
  • no induced current will flow in the solenoid.
  • the magnet will fall with a constant velocity.
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• 3.

  Identify the plant in which emasculation is not required for artificial hybridization.
  

  • Rice
    
  • Wheat
    
  • Pea
    
  • Papaya
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• 4.

  The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

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• 5.

  An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

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• 6.

  Draw the structure of 'X' in the following reaction:
  

  

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