Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Arithmetic progressions
Answer: 101. nth term = a + (n − 1)d = 11 + 15 × 6 = 101.
Question 2 · AP sums
Answer: 276. Sum = n/2 × (2a + (n − 1)d) = 12/2 × (2 + 44) = 276.
Question 3 · Quadratic equations
Answer: 7. x² − 11x + 28 = (x − 7)(x − 4) = 0, so the roots are 7 and 4. The larger is 7.
Question 4 · Algebraic identities
Answer: 13. (a + b)² = a² + 2ab + b², so a² + b² = 5² − 2 × 6 = 25 − 12 = 13.
Question 5 · Mensuration
Answer: 308 cm³. Volume = π r² h = 22/7 × 7 × 7 × 2 = 308 cm³.
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