Exam (elaborations)

not possible to complete (i) This Question paper contains 38 questions. All questions are compulsory. (ii) This Question paper is divided into five Sections - A, B, C, D and E. (iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs)

0 purchase

Course
Maths

Institution
Senior / 12th Grade

(i) This Question paper contains 38 questions. All questions are compulsory. (ii) This Question paper is divided into five Sections - A, B, C, D and E. (iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and Questions no. 19 and 20 are Assertion-Reason based questions ...

[Show more]

Preview 2 out of 9 pages

View example

Uploaded on September 20, 2024
Number of pages 9
Written in 2024/2025
Type Exam (elaborations)
Contains Only questions

very hard dont buy

Institution Senior / 12th grade
Course Maths
School year 4

$10.49

Add to cart

Add to wishlist

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

SAMPLE QUESTION PAPER (2024 - 25)
CLASS- XII
SUBJECT: Mathematics (041)

Time: 3 Hours Maximum Marks: 80

General Instructions:

Read the following instructions very carefully and strictly follow them:
(i) This Question paper contains 38 questions. All questions are compulsory.
(ii) This Question paper is divided into five Sections - A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and Questions no. 19 and
20 are Assertion-Reason based questions of 1 mark each.
(iv) In Section B, Questions no. 21 to 25 are Very Short Answer (VSA)-type questions, carrying 2 marks
each.
(v) In Section C, Questions no. 26 to 31 are Short Answer (SA)-type questions, carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are Long Answer (LA)-type questions, carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are Case study-based questions, carrying 4 marks each.
(viii) There is no overall choice. However, an internal choice has been provided in 2 questions in Section B,
3 questions in Section C, 2 questions in Section D and one subpart each in 2 questions of Section E.
(ix) Use of calculators is not allowed.

SECTION-A 1  20  20

(This section comprises of multiple choice questions (MCQs) of 1 mark each)

Select the correct option (Question 1 - Question 18):

𝟐𝟎𝟐𝟓 𝟎 𝟎
Q.1. If for a square matrix A, 𝑨. (𝒂𝒅𝒋𝑨) = [ 𝟎 𝟐𝟎𝟐𝟓 𝟎 ], then the value of A  adj A is
𝟎 𝟎 𝟐𝟎𝟐𝟓
equal to:

(C)  2025   45 (D) 2025   2025 
2 2
(A) 1 (B) 2025  1
Q.2. Assume X , Y , Z , W and P are matrices of order 2  n, 3  k , 2  p, n  3 and p  k ,
respectively. Then the restriction on n, k and p so that PY  WY will be defined are:
(A) k  3, p  n (B) k is arbitrary, p  2
(C) p is arbitrary, k  3 (D) k  2, p  3
Q.3. The interval in which the function f defined by 𝑓(𝑥) = 𝑒 𝑥 is strictly increasing, is

(A) [1, ∞) (B)   ,0  (C) (−∞, ∞) (D) (0,∞)

Class-XII/Sample Paper/2024-25/Mathematics/Page 1 of 9

, 𝟐
Q.4. If A and B are non-singular matrices of same order with 𝒅𝒆𝒕(𝑨) = 𝟓, then 𝒅𝒆𝒕(𝑩−𝟏 𝑨𝑩) is equal to

2 4
(A) 5 (B) 5 (C) 5 (D) 5 5
𝒅𝒚
Q.5. The value of ' n ' , such that the differential equation 𝒙𝒏 𝒅𝒙 = 𝒚(𝒍𝒐𝒈𝒚 − 𝒍𝒐𝒈𝒙 + 𝟏);

(𝐰𝐡𝐞𝐫𝐞 𝒙, 𝒚 ∈ 𝑹+ ) is homogeneous, is

(A) 0 (B) 1 (C) 2 (D) 3
Q.6. If the points (𝒙𝟏 , 𝒚𝟏 ), (𝒙𝟐 , 𝒚𝟐 ) and (𝒙𝟏 + 𝒙𝟐 , 𝒚𝟏 + 𝒚𝟐 )are collinear, then 𝒙𝟏 𝒚𝟐 is equal to

(A) x2 y1 (B) x1 y1 (C) x2 y2 (D) x1 x2

0 1 c 
Q.7. If A   1 a  b  is a skew-symmetric matrix then the value of a  b  c 
 2 3 0 

(A)1 (B) 2 (C) 3 (D) 4

Q.8. For any two events A and B , if P A    1
2
  2
3
1
, P B  and P  A  B   , then 𝑃 (𝐴⁄ ̅ ) equals:
4
̅
𝐵

3 8 5 1
(A) (B) (C) (D)
8 9 8 4
Q.9. The value of 𝛼 if the angle between 𝑝⃗ = 2𝛼 2 𝑖̂ − 3𝛼𝑗̂ + 𝑘̂ and 𝑞⃗ = 𝑖̂ + 𝑗̂ + 𝛼𝑘̂ is obtuse, is

(A) 𝑅 − [0, 1] (B) (0, 1) (C) [0, ∞) (D) [1, ∞)

Q.10. If |𝑎⃗| = 3, |𝑏⃗⃗| = 4 and |𝑎⃗ + 𝑏⃗⃗| =5, then |𝑎⃗ − 𝑏⃗⃗| =

(A) 3 (B) 4 (C) 5 (D) 8

Q.11. For the linear programming problem (LPP), the objective function is Z  4 x  3 y and the feasible
region determined by a set of constraints is shown in the graph:

Class-XII/Sample Paper/2024-25/Mathematics/Page 2 of 9

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller anshu2. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $10.49. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

69411 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 15 years now

Start selling