Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Quadratic equations
Answer: 4. x² − 6x + 8 = (x − 4)(x − 2) = 0, so the roots are 4 and 2. The larger is 4.
Question 2 · Arithmetic progressions
Answer: 134. nth term = a + (n − 1)d = 15 + 17 × 7 = 134.
Question 3 · Mensuration
Answer: 2156 cm³. Volume = π r² h = 22/7 × 7 × 7 × 14 = 2156 cm³.
Question 4 · Algebraic identities
Answer: 61. (a + b)² = a² + 2ab + b², so a² + b² = 11² − 2 × 30 = 121 − 60 = 61.
Question 5 · Linear equations
Answer: 8. Add the two equations: 2x = 12 + 4 = 16, so x = 8.
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