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JEE Exam  >  JEE Test  >  Mathematics (Maths) Class 12  >  Test: Matrices- Case Based Type Questions- 1 - JEE MCQ

Matrices- Case Based Type Questions- 1 - Free Questions with solutions


MCQ Practice Test & Solutions: Test: Matrices- Case Based Type Questions- 1 (15 Questions)

You can prepare effectively for JEE Mathematics (Maths) Class 12 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Matrices- Case Based Type Questions- 1". These 15 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 15

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Test: Matrices- Case Based Type Questions- 1 - Question 1
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Read the following text and answer the following questions from (1 - 5) on the basis of the same:

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below

If the unit Sale price of Pencil, Eraser and Sharpener are ₹2.50, ₹1.50 and ₹1.00 respectively, and unit cost of the above three commodities are ₹2.00, ₹1.00 and ₹0.50 respectively, then,

Total revenue of market A

Detailed Solution: Question 1

Total revenue of

= [2.50 x 10,000 + 1.50 x 2,000 + 1.00 x 18,000]

= [46, 000]

Test: Matrices- Case Based Type Questions- 1 - Question 2
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Total revenue of market B

Detailed Solution: Question 2

Total revenue of market B

= [2.50 x 6,000 + 1.50 x 20,000 + 1,00 x 8,000]

= 53,000

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Test: Matrices- Case Based Type Questions- 1 - Question 3
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Cost incurred in market A

Detailed Solution: Question 3

Cost incurred in market A

= [2.00 x 10,000 + 1.00 x 2,000 + 0.50 x 18,000]

= 31,000

Test: Matrices- Case Based Type Questions- 1 - Question 4
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Profits in market A and B respectively are

Detailed Solution: Question 4

Cost incurred in market B

= [2.00 x 6,000 + 1.00 x 20,000 + 0.58 x 8,000]

= 36,000

Profit of market A & B = total revenue of A and B – Cost increased in market A and B

i.e., (₹15,000, ₹17,000)

Test: Matrices- Case Based Type Questions- 1 - Question 5
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Gross profit in both markets

Detailed Solution: Question 5

Gross profit in both markets = Profit in A + Profit in B

= 15,000 + 17,000

= ₹32,000

Test: Matrices- Case Based Type Questions- 1 - Question 6
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Direction: Read the following text and answer the following questions from (6 - 10) on the basis of the same:

Amit, Biraj and Chirag were given the task of creating a square matrix of order 2.

Below are the matrices created by them. A, B, C are the matrices created by Amit, Biraj and Chirag respectively.

If a = 4 and b = −2,

Sum of the matrices A, B and C, A+(B + C) is

Detailed Solution: Question 6

A +B+ C =

Test: Matrices- Case Based Type Questions- 1 - Question 7
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(AT)T is equal to

Detailed Solution: Question 7

Test: Matrices- Case Based Type Questions- 1 - Question 8
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(bA)T is equal to

Detailed Solution: Question 8

Test: Matrices- Case Based Type Questions- 1 - Question 9
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AC − BC is equal to

Detailed Solution: Question 9

AC-BC =

Test: Matrices- Case Based Type Questions- 1 - Question 10
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(a + b)B is equal to

Detailed Solution: Question 10

( a +b)B= (4 - 2)

Test: Matrices- Case Based Type Questions- 1 - Question 11
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Direction: Read the following text and answer the following questions from (11 - 15) on the basis of the same:

Three schools DPS, CVC 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 ₹25, ₹100 and ₹50 each respectively. The numbers of articles sold are given as

What is the total money (in Rupees) collected by the school DPS?

Detailed Solution: Question 11

The funds collected by the schools can be obtained by matrix multiplication

Funds collected by school DPS = 7000

Funds collected by school, CVC = 6125

Funds collected by school KVS = 7875

Test: Matrices- Case Based Type Questions- 1 - Question 12
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Three schools DPS, CVC 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

What is the total amount of money (in ₹) collected by schools CVC and KVS?

Detailed Solution: Question 12

Total amount of money collected by school

= 6125 + 7875

= 14000

Test: Matrices- Case Based Type Questions- 1 - Question 13
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What is the total amount of money collected by all three schools DPS, CVC and KVS?

Detailed Solution: Question 13

Total amount of money collected by all school DPS, CVC and KVS

= 7000 + 7875 + 6125

= 21000

Test: Matrices- Case Based Type Questions- 1 - Question 14
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If the number of handmade fans and plates are interchanged for all the schools, then what is the total money collected by all schools?

Detailed Solution: Question 14

If the number of handmade fans and plates are interchanged for all the schools, then our table will look like

Let our new matrix be A

An, our sale price of articles is denoted by matrix Y

Now,
Total Revenue = Sales price x Total sales
= YA

Total amount collected by all 3 school = Rs. 7500 + 6000 + 7750
= Rs 21, 250 

Test: Matrices- Case Based Type Questions- 1 - Question 15
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How many articles (in total) are sold by three schools?

Detailed Solution: Question 15

Total Articles sold = (40 + 25 + 35) + (50 + 40 + 50) + (20 + 30 + 40)

= 100 + 140 + 90

= 330

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About this JEE Practice Test

This test contains 15 MCQs on Matrices- Case Based Type Questions- 1 with detailed solutions for each question. It is part of the Mathematics (Maths) Class 12 course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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