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Test: Matrices- Case Based Type Questions- 2 - JEE MCQ


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20 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Matrices- Case Based Type Questions- 2

Test: Matrices- Case Based Type Questions- 2 for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Matrices- Case Based Type Questions- 2 questions and answers have been prepared according to the JEE exam syllabus.The Test: Matrices- Case Based Type Questions- 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Matrices- Case Based Type Questions- 2 below.
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Test: Matrices- Case Based Type Questions- 2 - Question 1

Direction: Read the following text and answer the following questions from (1 - 5) on the basis of the same:

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 ₹10 more. However, if there were 16 children more, everyone would have got ₹ 10 less. Let the number of children be x and the amount distributed by Seema for one child be y (in ₹).

The equations in terms of x and y are

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 1

According to question,

(x-8) (y+10) = xy

⇒ xy + 10x - 8y - 80 = xy

⇒ 5x - 4y = 40 …(i)

And (x + 16)(y - 10) = xy

⇒ xy - 10x + 16y - 160 = xy

⇒ 5x - 8y = -80 …(ii)

Test: Matrices- Case Based Type Questions- 2 - Question 2

Which of the following matrix equations represent the information given above?

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 2
Given equations are;

5x - 4y = 40

5x - 8y = -80

Test: Matrices- Case Based Type Questions- 2 - Question 3

The number of children who were given some money by Seema, is

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 3
Since,

Let

∴ AX = B

X = A-1B

|A| = 5(-8) - (-4) x 5

= -40 + 20

= -20

X = A-1B

x = 32

y = 30

Hence, 32 children were given some money by Seema.

Test: Matrices- Case Based Type Questions- 2 - Question 4

How much amount is given to each child by Seema?

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 4
₹ 30 is given to each child by Seema [∵ y = 30]
Test: Matrices- Case Based Type Questions- 2 - Question 5

Seema is distributing money to all the students of an orphanage. If there are 30 students in the orphanage and Seema gives each student ₹20, how much money does Seema spend in total?

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 5

Test: Matrices- Case Based Type Questions- 2 - Question 6

Direction: Read the following text and answer the following questions from (6 - 10) on the basis of the same:

Two farmers Ramakishan and Gurucharan Singh cultivate only three varieties of rice namely Basmati, Permal and Naura. The sale (in ₹) of these varieties of rice by both the farmers in the month of September and October are given by the following matrices A and B

September sales (in Rupees)

October sales (in Rupees)

The total sales in September and October for each farmer in each variety can be represented as _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 6

Combined sales in September and October for each farmer in each variety is given by

A +B=

Test: Matrices- Case Based Type Questions- 2 - Question 7

What is the value of A23?

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 7
A23 = 10,000
Test: Matrices- Case Based Type Questions- 2 - Question 8

The decrease in sales from September to October is given by _______ .

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 8
Change in sales from September to October is given by

A -B=

Test: Matrices- Case Based Type Questions- 2 - Question 9

If Ramkishan receives 2% profit on gross sales, compute his profit for each variety sold in October.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 9
2% of B = (2/100) x B

= 0.02 x B

= 0.02

Thus, in October Ramkishan receives ₹ 100, ₹ 200 and ₹ 120 as profit in the sale of each variety of rice, respectively.

Test: Matrices- Case Based Type Questions- 2 - Question 10

If Gurucharan receives 2% profit on gross sales, compute his profit for each variety sold in September.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 10
2% of A = (2/100) x A

=0.02×A

=0.02

Thus, in September Gurucharan receives ₹ 1000, ₹ 600 and ₹ 200 as Profit in the sale of each variety of rice, respectively.

Test: Matrices- Case Based Type Questions- 2 - Question 11

Direction: Read the following text and answer the following questions from (11 - 15) on the basis of the same:

There are three families A, B and C. The number of members in these families are given in the table below.

The daily expenses of each man, woman and child are respectively ₹200, ₹100 and ₹50.

The total daily expense of family A is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 11

Expense of family A

Test: Matrices- Case Based Type Questions- 2 - Question 12

The total daily expense of family C is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 12
Expense of family C

Test: Matrices- Case Based Type Questions- 2 - Question 13

The combined daily expense of all the women is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 13
Combined expense of women

Test: Matrices- Case Based Type Questions- 2 - Question 14

The family with highest expense is _____.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 14

Most expensive family is C with an expense of ₹1200.

Test: Matrices- Case Based Type Questions- 2 - Question 15

The combined expense of men in family A and children in family C is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 15

Test: Matrices- Case Based Type Questions- 2 - Question 16

Direction: Read the following text and answer the following questions from (16 - 20) on the basis of the same:

Three schools SNT, SNP and TKM organised a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand-made fans, mats and plates from recycled material at a cost of ₹25, ₹100 and ₹50 each. The number of articles sold are given below.

Funds collected by SNT is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 16

Fund raised by SNT = ₹7000

Test: Matrices- Case Based Type Questions- 2 - Question 17

Funds collected by SNP is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 17

Fund raised by SNP = ₹ 6,125

Test: Matrices- Case Based Type Questions- 2 - Question 18

The total fund raised by all the three schools together is _______.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 18

Fund raised by TKM = ₹7,875

Total amount raised = 7,000 + 6,125 + 7,875 = ₹21,000

Test: Matrices- Case Based Type Questions- 2 - Question 19

The total fund raised by selling fans is _______

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 19
[40 + 25 + 35] [25] = [2,500]

Fund raised by selling fans = ₹2,500

Test: Matrices- Case Based Type Questions- 2 - Question 20

TKM collected ₹ _______ by selling plates.

Detailed Solution for Test: Matrices- Case Based Type Questions- 2 - Question 20
[40] [50] = [2000]

TKM collected ₹2000 by selling plates.

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