Mathematics Today - Volume 44 - No. 7 - July 2026 - Solved Paper

Jul 31, 2026

Mathematics Today (Volume 44, No. 7, July 2026) presents a structured JEE/entrance-style Mathematics solved paper with marking schemes and multi-option questions. Paper-I includes two sections, specifying four-question formats with either single-correct or multiple-correct choices, and detailed evaluation rules for full, zero, and negative marks where applicable. The content covers functions and calculus, tangent slopes on curves, matrix row-transformations, principal values of inverse trigonometric expressions, and supports step-by-step solution preparation for competitive learners.

LanguageEnglish

CategoryExam

FormatPDF

Pages100

Reading Time4 h 12 min

AccessFree to download

Competition Edge

Solved Paper 2026

Quiz Club

Maths in Focus

Trigonometry

Challenging Problems

You Ask We Answer

Infinite Learning

Quantitative Aptitude

Brain Teaser

GK Corner

Class 11 CBSE Warm-up!

Complex Numbers and Quadratic Equations

SOLVED PAPER

PAPER-I - SECTION-1 (Maximum Marks: 12)

PAPER-I - SECTION-2 (Maximum Marks: 16)

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| | --- | --- | Competition Edge JEE Advanced Solved Paper 2026 9 AP EAPCET Solved Paper 2026 22 WB JEE Solved Paper 2026 34 Quiz Club 46 Maths in Focus 47 Trigonometry Challenging Problems 57 You Ask We Answer 60 Infinite Learning 61 Quantitative Aptitude 84 Brain Teaser 88 GK Corner 91 Class 11 CBSE Warm-up! 62 Complex Numbers and Quadratic Equations Monthly Test Drive 70 Trigonometric Functions Concept Map 50 Trigonometric Functions Class 12 CBSE Warm-up! 72 Matrices and Determinants Monthly Test Drive 82 Matrices and Determinants Concept Map 51 Inverse Trigonometric Functions MATHEMATICS TODAY | 7 8 MATHEMATICS TODAY | SOLVED PAPER PAPER-I SECTION-1 (MAXIMUM MARKS : 12) • This section contains FOUR (04) questions. • Each question has FOUR options (a), (b), (c) and (d). ONLY ONE of these four options is the correct answer. • For each question, choose the option corresponding to the correct answer. • Answer to each question will be evaluated according to the following marking scheme: Full Marks : +3 If ONLY the correct option is chosen; Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered); Negative Marks : −1 In all other cases. 1. Consider the functionf : (0, ∞) → (−∞, ∞) given by f (x) = x loge (x) − x +1 . Then which one of the following statements is TRUE ? (a) The derivative of the function f is decreasing in the interval (0, 1) (b) The function f has a local maximum at some point a ∈(0, ∞) (c) The function f has a local minimum at some point b ∈(0, ∞) (d) The function f has NEITHER a point of local maximum NOR a point of local minimum in the interval (0, ∞) 2. Let P be the point on the parabola y = x2 such that the slope of the tangent to the parabola at the point P is 4. Let Q be the point in the first quadrant lying on the circle x2 + y2 = 2 such that the slope of the tangent to the circle at the point Q is −1. Let R beth

FAQs

How many questions are in Section-1 of Paper-I, and how are they evaluated?

Section-1 contains four questions, each with four options where only one is correct. Evaluation uses +3 for choosing only the correct option, 0 for unanswered (none chosen), and −1 otherwise.

What is the option-correctness rule for Section-2 of Paper-I?

Section-2 also has four questions, but one or more of the four options can be correct. Students must select all correct options, with full marks only if all correct options are chosen.

What topics are addressed in the sample questions of the solved paper?

The provided questions include properties of the function f(x)=x loge(x)−x+1, tangent slope geometry on parabola/circle/ellipse, matrices obtained via elementary row transformations, and expressions involving inverse trigonometric principal values.

Jul 31, 2026

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