Grand Test 2 : Mathematics 2A
Q1. If x = 3 + 2√2, then the value of x³ + 1/x³ is
Q2. The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is
Q3. If α, β are roots of x² – 8x + k = 0 and α² + β² = 40, then k =
Q4. A sum of ₹x amounts to ₹9261 in 3 years at 10% p.a. compound interest (compounded annually). Then x =
Q5. A trader marks his goods 50% above CP and allows 30% discount. He still gains 5%. The cost price is
Q6. In △ABC, medians AD and BE intersect at G. If AG = 6 cm and GD = 2 cm, then BE =
Q7. The angle subtended by an arc at the centre is double the angle subtended at any point on the remaining part of the circle. This is
Q8. A cone of height 24 cm and radius 6 cm is melted to form a sphere. Radius of sphere is
Q9. A hemispherical bowl of internal radius 9 cm is full of liquid. This is poured into cylindrical vessels of diameter 3 cm each. Number of vessels required is
Q10. If the mean of 10 observations is 25 and one observation 40 was misread as 20, then correct mean is
Q11. The sum of first 30 terms of AP whose nth term is 3n + 2 is
Q12. If sin θ + cos θ = √2, then sin θ cos θ =
Q13. A man is standing on the ground and observes the angle of elevation of the top of a tower as 30°. He walks 60 m towards the tower and angle becomes 60°. Height of tower is
Q14. If the pair of equations 2x + 3y = 7 and 4x + ky = 14 has infinitely many solutions, then k =
Q15. If the centroid of triangle formed by (1, 2), (3, k), (5, 6) lies on x-axis, then k =
Q16. Probability that a leap year selected at random has 53 Sundays is
Q17. According to NCF-2005, the vision for school mathematics is
Q18. The most appropriate method to teach ‘Construction of triangles’ at secondary level is
Q19. In revised Bloom’s taxonomy, ‘Proving a theorem independently’ belongs to
Q20. Which document introduced the 5+3+3+4 structure and competency-based learning in school education?
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