3681. The perimeter of a triangle is 36 units. Its area cannot be more than ______ square units.

  • (A)
  • (B)
  • (C)
  • (D)

3682. Find the difference between the curved surface area and total surface area of a right circular cylinder having a length of 68 cm and base diameter of 28 cm.

  • (A)
  • (B)
  • (C)
  • (D)

3683. Two circles of diameters 16 cm and 20 cm are such that the distance between their centers is 13 cm. What is the length (in cm) of a common tangent to these circles that does not intersect the line joining the centers?

  • (A)
  • (B)
  • (C)
  • (D)

3684. An iron box with external dimensions 60 cm, 40 cm, and 20 cm is made of 1 cm thick sheet. If 1 cm3 of iron weighs 50 gm, the weight of the empty box is:

  • (A) 214.05 kg
  • (B) 240 kg
  • (C) 400 kg
  • (D) 416.40 kg

3685. Let C be a circle with Centre O and P be an external point to C. Let PQ and PR be the tangents to C such that Q and R be the points of tangency, respectively. If ∠ROQ = 110°, find ∠RPQ.

  • (A) 90°
  • (B) 70°
  • (C) 80°
  • (D) 110°

3686. Study the given bar-graph and answer the question that follows. An electric vehicle company produces three different car models – A, B and C. The production of three different models over a period of four years (in lakhs) has been shown the bar-graph. The total production of model C in 2021 and 2022 is what percentage of the total production of model A in 2019 and 2020?

  • (A) 102.26%
  • (B) 105.22%
  • (C) 115.57%
  • (D) 122.22%

3687. If Δ ABC ~ Δ QRP; area of Δ ABC : area of Δ PQR = 9 : 4; AB = 18 cm and BC = 15 cm, then find the length of PR.

  • (A) 15 cm
  • (B) 10 cm
  • (C) 12 cm
  • (D) 14 cm

3688. If price of an article increases successively by 15% and 10%, respectively, then what is the percentage equivalent to a single price increase of that article?

  • (A)
  • (B)
  • (C)
  • (D)

3689. The price of an article is first increased by 40% and then decreased by 45%, due to reduction in sales. Find the net percentage change in the final price of the article.

  • (A) −23%
  • (B) 23%
  • (C) 13%
  • (D) −13%

3690. A and B, working together, take 15 days to complete a piece of work. If A alone can do this work in 18 days, then how long would B take to complete the same work?

  • (A) 33 days
  • (B) 90 days
  • (C) 8 days
  • (D) 15 days

Total Quizz:- 10040

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