861. If a person’s salary increases from ₹200 per day to ₹234 per day, then the percentage increase in the person’s salary is:

  • (A)
  • (B)
  • (C)
  • (D)

862. Find the equation of the sphere having centre (-1,2,-3) and the radius of 3 units.

  • (A)
  • (B)
  • (C)
  • (D)

863. If Tanya walks at the speed of 6 km/h, she misses a train by 2 minutes. However, if she walks at the speed of 8 km/h, she reaches the station 3 minutes before the arrival of the train. The distance covered by Tanya to reach the station is:

  • (A) 3 km
  • (B) 2.5 km
  • (C) 2.75 km
  • (D) 2 km

864. If 6 engineers can complete a work in 5 days and 5 skilled workers can complete the same work in 7 days, then the time taken (in days) to complete the same work by 7 engineers and 4 skilled workers will be:

  • (A)
  • (B)
  • (C)
  • (D)

865. An amount invested fetched a total simple interest of ₹4,050 at the rate of 9% per annum in 5 years. What is the amount invested (in ₹)?

  • (A) 9,000
  • (B) 8,300
  • (C) 7,500
  • (D) 9,050

866. The lines x+y = 10 and -3x+y = 2 have a unique solution. What is the distance (in units) between the unique solution and the point of intersection of the line x+y = 10 and the x-axis?

  • (A)
  • (B)
  • (C)
  • (D)

867. A tangent is drawn from a point that is at a distance of 37 cm from center of the circle O, and diameter is 24 cm. The length (in cm) of the tangent is:

  • (A) 30
  • (B) 35
  • (C) 28.16
  • (D) 37

868. Consider AD is a tangent to a circle of radius 6 cm. AC is a secant meeting the circle at B and CD is a diameter. If AB is 7 cm, then the value of AC (in cm) is:

  • (A) 9
  • (B) 18
  • (C) 20
  • (D) 16

869. A number is first decreased by 18% and the resulting number is then increased by 25%. What is the overall percentage change in the original number?

  • (A) Decrease by 2.5%
  • (B) Increase by 3.5%
  • (C) Increase by 2.5%
  • (D) Decrease by 3.5%

870. PQ is the diameter of a circle with centre O. PT is a tangent touching the circle at P. The secant QT intersects the circle at S. O and S are joined. If ∠ SOP = 104°, what is the measure (in degrees) of ∠PTQ?

  • (A) 45
  • (B) 62
  • (C) 76
  • (D) 38

Total Quizz:- 2541

Mathematics

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