2001. In a triangle ABC, AB = AC. BC is extended to D such that CD = AB and the angle ADC is 30°. What are the angles of triangle ABC?

  • (A) 30°, 60°, 90°
  • (B) 50°, 60°, 70°
  • (C) 60°, 60°, 60°
  • (D) 45°, 60°, 75°

2002. Two parallel chords of length 5 units and 8 units are on opposite sides of the center of a circle of radius 7 units. What is the distance between the chords? (round your answer to two decimal places)

  • (A) 11.82 units
  • (B) 12.28 units
  • (C) 11.28 units
  • (D) 12.82 units

2003. A shopkeeper buys 1800 kg wheat for ₹32,400. If 20% of this wheat is spoiled due to rain, at what rate (₹/kg) should he sell the rest to earn 20%?

  • (A) 29
  • (B) 26
  • (C) 25
  • (D) 27

2004. In a circle, O is the centre and AOB is the diameter. AT is a tangent to the circle. Line TB intersects the circle at Q. Given that ∠AOQ = 94°, find ∠ATQ.

  • (A) 86°
  • (B) 43°
  • (C) 47°
  • (D) 133°

2005. An amount of ₹8,000 was invested for 2 years, partly in scheme 1 at the rate of 5% simple interest per annum and the rest in scheme 2 at the rate of 4% simple interest per annum. The total interest received at the end was ₹720. The amount of money invested in scheme 1 is:

  • (A) ₹3,640
  • (B) ₹7,200
  • (C) ₹4,400
  • (D) ₹4,000

2006. If the price of tea is increased by 40%, by how what percentage must the consumption of tea be decreased so as not to increase the expenditure?

  • (A)
  • (B)
  • (C)
  • (D)

2007. The following bar graph represents the production of three types of buses by a company over the years (in thousands). In which of the following years was the percentage production of B type buses to C type buses, the maximum?

  • (A) 2015
  • (B) 2013
  • (C) 2016
  • (D) 2014

2008. For what positive values of k do the following pair of linear equations have infinitely many solutions? kx + 3y – ( k – 3 ) = 0 12x + ky – k = 0

  • (A) 6
  • (B) 2
  • (C) 12
  • (D) 4

2009. From a circle, a sector with a central angle of 30° is cut off. If the length of the arc of this sector is 5.5 cm, then find the radius (in cm) of the circle.

  • (A) 12
  • (B) 10
  • (C) 10.5
  • (D) 11

2010. The ratio of the lateral surface area to the total surface area of a cylinder with base diameter 60cm and height 10 cm is:

  • (A) 1:9
  • (B) 1:7
  • (C) 1:4
  • (D) 1:3

Total Quizz:- 2541

Mathematics

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