12th Class Mathematics Determinants Question Bank

done Case Based (MCQs) - Determinants Total Questions - 15

• question_answer1)

  Directions: (1 - 5)

  Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 cm and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by \[5300\text{ }{{m}^{2}}\].

  Based on the information given above, answer the following questions :

  The equations in terms of x and y are
  A)
  x - y = 50, 2x - y = 550 done clear
  B)
  x - y = 50, 2x + y = 550 done clear
  C)
  x + y = 50, 2x + y = 550 done clear
  D)
  x + y = 50, 2x + y = 550. done clear
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• question_answer2)
  Which of the following matrix equation is represented by the given information?
  A)
  done clear
  B)
  done clear
  C)
  done clear
  D)
  done clear
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• question_answer3)
  The value of x (length of rectangular field) is
  A)
  150 m done clear
  B)
  400 m done clear
  C)
  200 m done clear
  D)
  320 m done clear
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• question_answer4)
  The value of y (breadth of rectangular field) is
  A)
  150 m done clear
  B)
  200 m done clear
  C)
  430m done clear
  D)
  350m done clear
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• question_answer5)
  How much is the area of rectangular field?
  A)
  60000 Sq.m. done clear
  B)
  30000 Sq.m. done clear
  C)
  30000 m done clear
  D)
  3000 m. done clear
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• question_answer6)

  Directions: (6 - 10)
  Three schools DPS, CVS and KVS decided to organize a fair for collecting money for helping the flood victims.
  They sold handmade fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each respectively. The numbers of articles sold are given as
  School/Article	DPS	CVC	KCS
  Handmade fans	40	25	35
  Mats	50	40	50
  Plates	20	30	40
  Based on the information given above, answer the following questions :

  What is the total money (in Rupees) collected by the school DPS?
  A)
  700 done clear
  B)
  7,000 done clear
  C)
  6,125 done clear
  D)
  7875 done clear
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• question_answer7)
  What is the total amount of money (in Rs) collected by schools CVS and KVS?
  A)
  14,000 done clear
  B)
  15,725 done clear
  C)
  21,000 done clear
  D)
  13,125 done clear
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• question_answer8)
  What is the total amount of money collected by all three schools DPS, CVS and KVS
  A)
  Rs 15,775 done clear
  B)
  Rs 14,000 done clear
  C)
  Rs 21,000 done clear
  D)
  Rs 17,125 done clear
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• question_answer9)
  If the number of handmade fans and plates are interchanged for all the schools, then what is the total money collected by all schools?
  A)
  Rs 18,000 done clear
  B)
  Rs 6,750 done clear
  C)
  Rs 5,000 done clear
  D)
  Rs 21,250. done clear
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• question_answer10)
  How many articles (in total) are sold by three schools?
  A)
  230 done clear
  B)
  130 done clear
  C)
  430 done clear
  D)
  330 done clear
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• question_answer11)

  Directions: (11 - 15)

  On her birthday, Seema decided to donate some money to children of an orphanage home. If there were 8 children less, everyone would have got Rs 10 more. However, if there were 16 children more, everyone would have got Rs 10 less. Let the number children be x and the amount distributed by Seema for one child by y (in Rs)

  Based on the information given above, answer the following question :

  The equations in terms x and y are
  A)
  \[5x-4y=40,\text{ }5x-8y=-80\] done clear
  B)
  \[5x-4y=40,\text{ }5x-8y=80\] done clear
  C)
  \[5x-4y=40,\text{ }5x+8y=-80\] done clear
  D)
  \[5x+4y=40,\text{ }5x-8y=-80\] done clear
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• question_answer12)
  Which of the following matrix equations represent the information given above?
  A)
  done clear
  B)
  done clear
  C)
  done clear
  D)
  done clear
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• question_answer13)
  The number of children who were given some money by Seema, is
  A)
  30 done clear
  B)
  40 done clear
  C)
  23 done clear
  D)
  32 done clear
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• question_answer14)
  How much amount is given to each child by Seema?
  A)
  Rs 32 done clear
  B)
  Rs 30 done clear
  C)
  Rs 62 done clear
  D)
  Rs 26 done clear
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• question_answer15)
  How much amount Seema spends in distributing the money to all the students of the orphanage?
  A)
  Rs 609 done clear
  B)
  Rs 960 done clear
  C)
  Rs 906 done clear
  D)
  Rs 690 done clear
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