1951. The length (in cm) of a direct common tangent to two circles of radii 14 cm and 5 cm whose centres are separated by a distance of 40 cm is:

  • (A)
  • (B)
  • (C)
  • (D)

1952. When 12 is subtracted from a number, it reduces to its 40%. Two-fifth of that number is:

  • (A) 20
  • (B) 12
  • (C) 8
  • (D) 50

1953. A cube of edge 4 cm is cut into cubes each of edge of 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:

  • (A) 1 : 64
  • (B) 1 : 16
  • (C) 1 : 4
  • (D) 1 : 8

1954. A line from point A is drawn that is tangent to the circle at point B. A secant is also drawn from point A to the circle intersecting it at points C and D. If AB = 42 cm and AC = 21 cm, then what is the ratio between AB and CD?

  • (A) 2 : 3
  • (B) 2 : 5
  • (C) 3 : 2
  • (D) 3 : 4

1955. In an isosceles triangle ABC, AB=AC. D is a point inside the triangle such that ∠BAD = 20° = ∠DCB, ∠CAD = 80°. The value of ∠ABC is:

  • (A)
  • (B)
  • (C)
  • (D)

1956. A vendor buys 20 dozen bananas for ₹1,200 and sells 5 dozen for ₹350, then his gain percentage is:

  • (A)
  • (B)
  • (C)
  • (D)

1957. After an increase of 9% in salary, a person received ₹6,300. What was his salary before the increase (consider integral part only)?

  • (A) ₹3,879
  • (B) ₹5,779
  • (C) ₹5,000
  • (D) ₹4,000

1958. The ratio of the outer and the inner circumference of a circular path is 7:6. If the path is 45 m wide, then what is the radius (in m) of the inner circle?

  • (A) 240
  • (B) 120
  • (C) 150
  • (D) 270

1959. If x ∶ y = 5 ∶ 6,then 2x + 3y ∶ 3x + 5y is:

  • (A)
  • (B)
  • (C)
  • (D)

1960. A certain sum of money is lent out at simple interest. If that money becomes ₹24,000 in 2 years and ₹32,000 in 4 years, the annual rate of interest is:

  • (A) 30%
  • (B) 16%
  • (C) 25%
  • (D) 20%

Total Quizz:- 10040

UPSC

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