Grand Test 1 : Mathematics 2A
Q1. If √(a + b) + √(a – b) = 2√a, then the value of b is
Q2. HCF(336, 420, 490) using Euclid’s algorithm is
Q3. If x = 2 + √3, then the value of x + 1/x is
Q4. In a class of 40 students, 28 play cricket and 20 play football. If 12 play both, number of students playing neither is
Q5. A sum amounts to ₹9261 in 2 years at 10% p.a. compound interest. The sum is
Q6. A shopkeeper marks an article 40% above cost price and gives 20% discount. If he gains ₹96, the cost price is
Q7. In △ABC, DE ∥ BC with D on AB, E on AC. If AD = 4 cm, DB = 6 cm, AE = 5 cm, then EC =
Q8. If two tangents are drawn from an external point to a circle, then they are
Q9. Area of a segment of a circle of radius 14 cm formed by a chord subtending 60° at the centre is (π = 22/7)
Q10. Water flows at 3 m/s through a pipe of diameter 14 cm. Water flowing per minute is
Q11. A metallic sphere of radius 4.2 cm is melted and recast into a cylinder of radius 6 cm. Height of cylinder is
Q12. Median of the data 15, 18, 12, 20, 17, 19, 14, 21 is
Q13. The sum of first 20 terms of AP 5, 9, 13, … is
Q14. If α, β are roots of x² – 7x + 10 = 0, then α² + β² =
Q15. Point dividing the line segment joining A(2, –3) and B(5, 6) in ratio 2:1 internally is
Q16. In a right triangle, if tan θ = 8/15, then sin θ =
Q17. A bag contains 5 red, 8 white and 7 black balls. Probability of drawing a non-red ball is
Q18. Height of a tower is 10√3 m. Angle of elevation from a point 10 m away is 60°. Distance of point from base is
Q19. According to NCF-2005, mathematics teaching should focus on
Q20. The method most suitable for teaching ‘Proof of Pythagoras theorem’ is
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