Daily quiz

UP TGT Mathematics Daily Quiz 1

A daily quiz for UPESSC TGT (Trained Graduate Teacher), the recruitment conducted by the Uttar Pradesh Education Service Selection Commission (UPESSC), Prayagraj. 20 questions for 20 marks in 15 minutes, with no negative marking - the same pattern and the same clock as the exam.

20 quick Mathematics questions for UP TGT candidates. Free, no plan needed.

Pitched at 13 medium and 7 hard questions.

Start this test 15 min · 20 Qs · 20 marks

Your first 2 tests on any paper are free. No card needed.

Paper pattern

SectionQuestionsCorrectWrong
Mathematics15+1none
General Studies5+1none
Total2020 marks

Topics in this paper

  • Limits, Continuity & Differentiation2
  • Statistics & Probability2
  • Trigonometry (Identities, Equations, Heights)1
  • Sets, Relations & Functions1
  • Vectors & 3D Geometry1
  • Euclidean Geometry, Triangles & Circles1
  • Real Analysis1
  • Differential Equations1
  • Straight Lines & Conic Sections1
  • Sequences & Series1
  • Abstract Algebra (Groups, Rings, Fields)1
  • Applications of Derivatives1
  • Permutations, Combinations & Binomial Theorem1
  • Indian History1
  • Awards & Honours1
  • Uttar Pradesh GK1
  • Biology1
  • ICT in Education1

Sample questions from this paper

  1. Mathematics (Secondary & Senior Secondary) · Trigonometry (Identities, Equations, Heights) · medium

    What is the exact value of sin 75°?

    sin 75° का यथातथ मान क्या है?

    • A(√6 + √2)/4(√6 + √2)/4
    • B(√6 − √2)/4(√6 − √2)/4
    • C(√3 + 1)/2(√3 + 1)/2
    • D(√2 + 1)/2(√2 + 1)/2

    Explanation

    sin 75° = sin(45° + 30°) = sin45 cos30 + cos45 sin30 = (√2/2)(√3/2) + (√2/2)(1/2) = (√6 + √2)/4. The value (√6 − √2)/4 is sin 15°.

    sin 75° = sin(45° + 30°) = sin45 cos30 + cos45 sin30 = (√2/2)(√3/2) + (√2/2)(1/2) = (√6 + √2)/4। मान (√6 − √2)/4 वास्तव में sin 15° है।

  2. General Awareness · Indian History · medium

    The Brihadeeswara (Rajarajeshwara) temple at Thanjavur, completed around 1010 CE, was built by which Chola ruler?

    तंजावुर का बृहदेश्वर (राजराजेश्वर) मंदिर, जो लगभग 1010 ई. में पूर्ण हुआ, किस चोल शासक ने बनवाया?

    • AKarikalaकरिकाल
    • BRajaraja Iराजराज प्रथम
    • CRajendra Iराजेंद्र प्रथम
    • DKulottunga Iकुलोत्तुंग प्रथम

    Explanation

    Rajaraja I built the Brihadeeswara temple at Thanjavur, a landmark of Dravidian architecture. His son Rajendra I built the temple at his new capital Gangaikonda Cholapuram after his Ganga expedition.

    राजराज प्रथम ने तंजावुर में द्रविड़ स्थापत्य का प्रतीक बृहदेश्वर मंदिर बनवाया। उनके पुत्र राजेंद्र प्रथम ने गंगा अभियान के बाद अपनी नई राजधानी गंगैकोंडचोलपुरम में मंदिर बनवाया।

  3. Mathematics (Secondary & Senior Secondary) · Limits, Continuity & Differentiation · medium

    What is the derivative of log(sin x) with respect to x, where 0 < x < π?

    0 < x < π के लिए log(sin x) का x के सापेक्ष अवकलज क्या है?

    • Atan xtan x
    • Bsin x cos xsin x cos x
    • Ccot xcot x
    • D1/sin x1/sin x

    Explanation

    By the chain rule the derivative is (1/sin x) × cos x = cot x. The option 1/sin x forgets to differentiate the inner function.

    शृंखला नियम से अवकलज (1/sin x) × cos x = cot x होगा। विकल्प 1/sin x में आंतरिक फलन का अवकलन करना छूट गया है।

The full paper has 20 questions. Start it to see your marks, rank and a topic-by-topic report the moment you submit.

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