Mathematics - Basic of Mathematics
Practise 24 KCET previous year questions on Basic of Mathematics, compiled from papers spanning 2007 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.
Basic of Mathematics has been asked in 16 of the 20 years of KCET papers analysed (2007–2026), with 24 questions in all. 67% of them were easy, 21% moderate and 13% tough. Most of its questions came from 2012, with 3 questions that year. In the last three years (2024–2026) it had 3 questions across 3 papers, about 1 per paper.
The chapter's 4 topics are not weighted equally: Inequalities (15 questions, 63%), Logarithm (5 questions, 21%), and Divisibility Test (3 questions, 13%) have been asked the most. Inequalities has also led over the last five years, with 4 questions. Inequalities has produced the most tough questions (1).
- 1The solution of is2026Inequalities
- 2Consider the following statements : Statement(I) : The set of all solutions of the linear inequalities and are and respectively. Statement(I2025Inequalities
- 3Which one of the following observations is correct for the features of logarithm function to any base ?2024Logarithm
- 4The shaded region in the figure given is the solution of which of the inequations?2023Inequalities
- 5Given that and are real numbers and , then2023Inequalities
- 6The cost and revenue functions of a product are given by and respectively, where is the number of items produced and sold. The value of to e2021Inequalities
- 7If \( |3 x-5| 2 \) then2019Inequalities
- 8On the set of positive rationals, a binary operation * is defined by \( a^{*} b= {2 a b}{5} \). If \( 2^{*} x=3^{-1} \) then \( x= \)2019Ratio and Proportion
- 9If \( |x+5| 10 \) then2018Inequalities
- 10If \( P(n): " 2^{2 n-1} \) is divisible by \( k \) for all \( n N^{ } \) is true, then the value of ' \( k \) ' is2018Divisibility Test
- 11If \( | {array}{ccc}2 a & x_{1} & y_{1} \\ 2 b & x_{2} & y_{2} \\ 2 c & x_{3} & y_{3} {array} |= {a b c}{2} 0 \), then the area of the trian2015Inequalities
- 12If \( y= ( ^{-1} x )^{2} \), then \( (x^{2}+1 )^{2} y_{2}+2 x (x^{2}+1 ) y_{1} \) is equal to2014Inequalities
- 13The smallest positive divisor greater than 1 of a composite number is2013Divisibility Test
- 14If , then values are2012Logarithm
- 15The sum of two positive numbers is given. If the sum of their cubes is minimum, then2012Inequalities
- 16If , then is2012Inequalities
- 17If , then the value of is2011Logarithm
- 18A simple graph contains 24 edges. Degree of each vertex is 3 . The number of vertices is2010Inequalities
- 19If , where and are integers, then which one of the following is not true?2009Inequalities
- 20If and are prime numbers satisfying the condition , then the value of is2008Inequalities
- 21If , then the position of the first significant figure of is2008Logarithm
- 22A graph has ' ' vertices of odd degree and ' ' vertices of even degree. Then which of the following statements is necessarily true?2007Inequalities
- 23is equal to2007Logarithm
- 24The number of positive divisors of 252 is2007Divisibility Test
Frequently Asked Questions
1.How many questions are available for Basic of Mathematics?
This chapter includes 24 questions compiled from KCET papers spanning 2007 to 2026.
2.Are these questions only from KCET, or from other exams too?
These are KCET questions specifically for the Basic of Mathematics chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Basic of Mathematics an important chapter for KCET Mathematics?
Basic of Mathematics has appeared in 16 of the 20 years of KCET papers covered here, with 24 questions across 16 papers - about 2 per paper it appears in.
4.What is the difficulty level of Basic of Mathematics questions in KCET?
Of the 24 questions analysed for this chapter, 67% are easy, 21% moderate and 13% tough. 2012 had the most, with 3 questions.
5.Which topics in Basic of Mathematics should I focus on?
These topics have carried the most weightage in Basic of Mathematics:
- Inequalities - 15 questions (63%)
- Logarithm - 5 questions (21%)
- Divisibility Test - 3 questions (13%)
- Inequalities has produced the most tough questions (1).
6.Is Basic of Mathematics's weightage in KCET going up or down?
Across all 16 papers analysed, Basic of Mathematics has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.