KSEAB II PU Basic Mathematics Model Question Paper 2025 Karnataka

Organisation : Karnataka School Examination & Assessment Board (KSEAB)
Class Name : II PU
Subject : Basic Mathematics
Download : Model Question Paper 2025
Website : https://dpue-exam.karnataka.gov.in/ModelQp2025/frmkmpdamodelpapers

KSEAB II PU Basic Mathematics Model Question Paper

Answer ALL the multiple-choice questions:

Related / Similar Question Paper : KSEAB II PU Beauty and Wellness Model Question Paper 2025

1. If nC8 = nC12 then the value of n is
a) 8
b) 12
c) 20
d) 10

2. If 𝑃(𝐴′) = 0.65, then 𝑃(𝐴) 𝑖𝑠
a) 1
b) 0
c) 0.35
d) 0.65

3. Negate: ~𝑝 → 𝑞
a) 𝑝 → ~𝑞
b) ~𝑝 ∧ ~𝑞
c) ~𝑝 ∧ 𝑞
d) 𝑝 ∧ 𝑞

4. The mean proportion of 9 𝑎𝑛𝑑 16 is
a) 144
b) 25
c) 12.5
d) 12

5. The value of 3 sin 100 − 4 sin3 100 is
a) 1/2
b) 1/√2
c) √3/2
d) 0

6. If the focus of the parabola is (0, −6) 𝑡ℎ𝑒𝑛 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑜𝑓 𝑑𝑖𝑟𝑒𝑐𝑡𝑟𝑖𝑥 is
a) 𝑥 = 6
b) 𝑥 = −6
c) 𝑦 = 6
d) 𝑦 = −6

7. If 𝑦 = log 𝑒𝑒 𝑡ℎ𝑒𝑛 𝑑𝑦 /𝑑𝑥 𝑖𝑠
a) −1
b) 0
c) 𝑒
d) 1/𝑒

Fill in the blanks by choosing appropriate answer from given options:
(log 𝑥 + 𝑐, 0, 9, 2, 24, − 1 𝑥2 + 𝑐)

1. A square matrix A is a singular matrix if |𝐴| = ________
2. The number of ways 5 people can be seated around a table is ________.
3. The third proportional of 4 and 6 is __________
4. If the length of the latus rectum of the parabola 𝑥2 = 4𝑘𝑦 𝑖𝑠 8, then the value of k is ___
5. ∫ 1/𝑥 𝑑𝑥 = ______

Answer any SIX questions:
1. Find the number of parallelograms that can be formed from a set of 6 parallel lines intersecting another set 4 of parallel lines
2. What must be added to the terms of the ratio 2: 3 so that it becomes 5: 6
3. BD and BG on a certain bill due after sometime are ₹1250 and ₹50 respectively. Find the face value of the bill.
4. Find the equation of the parabola whose vertex is (0, 0) 𝑎𝑛𝑑 𝑑𝑖𝑟𝑒𝑐𝑡𝑟𝑖𝑥 𝑖𝑠 𝑦 = 2
5. The total revenue function is given by 𝑅 = 400𝑥 − 2𝑥2 and the total cost function given by 𝐶 = 2𝑥2 + 40𝑥 + 4000 find the marginal revenue and marginal cost function
6. Find the area enclosed by the curve 𝑦 = 𝑥2 + 2𝑥 between the ordinates 𝑥 = 0 𝑎𝑛𝑑 𝑥 = 2

Instructions:
i. The question paper has 5 Parts A, B, C, D and E. Answer all the Parts.
ii. Part – A carries 20 marks, Part – B carries 12 marks, Part – C carries 18 marks, Part – D carries 20 marks and Part – E carries 10 marks.
iii. Write the question number properly as indicated in the question paper.

Download KSEAB II PU Basic Mathematics Model Question Paper

Download Basic Mathematics Model Question Paper 1 :
https://www.pdfquestion.in/uploads/pdf2025/43400-p1.pdf

Download Basic Mathematics Model Question Paper 2 :
https://www.pdfquestion.in/uploads/pdf2025/43400-p2.pdf

Download Basic Mathematics Model Question Paper 3 :
https://www.pdfquestion.in/uploads/pdf2025/43400-p3.pdf