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Mathematical Ability - Algebra Flashcards

6 cards from real ICET practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Mathematical Ability - Algebra flashcards as text

  1. If 2^x = 64, what is x?

    Answer: 6

    64 = 2^6, so x = 6.

  2. The discriminant of x² + 4x + 5 = 0 is b² − 4ac. What does the discriminant indicate?

    Answer: No real roots

    Discriminant = 16 − 20 = −4 < 0, indicating the equation has no real roots.

  3. If x + 1/x = 5, what is x² + 1/x²?

    Answer: 23

    (x + 1/x)² = x² + 2 + 1/x² = 25, so x² + 1/x² = 23.

  4. What is the remainder when x³ − 3x² + 3x − 1 is divided by (x − 1)?

    Answer: 0

    By the Remainder Theorem, substitute x = 1: 1 − 3 + 3 − 1 = 0.

  5. Solve for x: |2x − 3| = 7

    Answer: x = 5 or x = −2

    2x − 3 = 7 gives x = 5; 2x − 3 = −7 gives x = −2.

  6. Find S₅ of an AP where a = 2 and d = 3 using Sn = n/2 × (2a + (n−1)d).

    Answer: 40

    S₅ = 5/2 × (4 + 12) = 5/2 × 16 = 40.

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Sources & references

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  1. cets.apsche.ap.gov.in — Eligibility, fees, exam format, passing score, time limit, score validity · verified Oct 2026