Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Arithmetic progressions
Answer: 70. nth term = a + (n − 1)d = 10 + 10 × 6 = 70.
Question 2 · Probability
Answer: 1/4. Probability = favourable ÷ total = 3/12 = 1/4.
Question 3 · Coordinate geometry
Answer: 17. Distance = √(8² + 15²) = √289 = 17.
Question 4 · Trigonometry
Answer: 5/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° + tan 45° = 5/4.
Question 5 · Algebraic identities
Answer: 80. (a + b)² = a² + 2ab + b², so a² + b² = 12² − 2 × 32 = 144 − 64 = 80.
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