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Quantitative Aptitude

MENSURATION MCQs

Regular Polygons, Triangles, Circles

Total Questions : 254 | Page 21 of 26 pages
Question 201. The side BC of a triangle ABC is proceed to D. If ∠ACD = 112° and ∠B = $$\frac{3}{4}$$ ∠A, then the measure of ∠B is:
  1.    64°
  2.    30°
  3.    48°
  4.    45°
 Discuss Question
Answer: Option C. -> 48°
Question 202. ΔABC is similar to ΔDEF. If the sides of ΔABC, that is AB, BC and CA, are 3, 4 and 5 cms respectively, what would be the perimeter of the ΔDEF, if the side DE measures 12 cms ?
  1.    24 cms
  2.    30 cms
  3.    36 cms
  4.    48 cms
 Discuss Question
Answer: Option D. -> 48 cms
Question 203. In a ΔPQR, ∠Q = 55° and ∠R = 35°. Find the ratio of angles subtended by side QR on circumcenter, incenter and orthocenter of the triangle.
  1.    3 : 2 : 1
  2.    3 : 2 : 4
  3.    3 : 2 : 4
  4.    4 : 3 : 2
 Discuss Question
Answer: Option D. -> 4 : 3 : 2
Question 204. In ΔPQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX : XQ = 5 : 6, then XY : QR will be
  1.    5 : 11
  2.    6 : 5
  3.    11 : 6
  4.    11 : 5
 Discuss Question
Answer: Option A. -> 5 : 11
Question 205. In an isosceles triangle ΔABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to.
  1.    90°
  2.    100°
  3.    130°
  4.    80°
 Discuss Question
Answer: Option C. -> 130°
Question 206. Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be
  1.    ΔABD = $$\frac{1}{3}$$ ΔABC
  2.    ΔABD = $$\frac{1}{2}$$ ΔABC
  3.    ΔABC = $$\frac{1}{2}$$ ΔABD
  4.    ΔABC = ΔABD
 Discuss Question
Answer: Option D. -> ΔABC = ΔABD
Question 207. G is the centroid of ΔABC. If AB = BC = AC, then measure of ∠BGC is:
  1.    45°
  2.    60°
  3.    90°
  4.    120°
 Discuss Question
Answer: Option D. -> 120°
Question 208. In a ΔABC, BC is extended upto D; ∠ACD = 120°, ∠B = $$\frac{1}{2}$$ ∠A, then ∠A is:
  1.    60°
  2.    75°
  3.    80°
  4.    90°
 Discuss Question
Answer: Option C. -> 80°
Question 209. In a triangle ABC, if ∠A + ∠C = 140° and ∠A + 3∠B = 180°, then ∠A is equal to:
  1.    80°
  2.    40°
  3.    60°
  4.    20°
 Discuss Question
Answer: Option C. -> 60°
Question 210. Length of the sides of a triangle are a, b and c respectively. If a2 + b2 + c2 = ab + bc + ca then the triangle is:
  1.    Isosceles
  2.    Equilateral
  3.    Scalene
  4.    Right-angled
 Discuss Question
Answer: Option B. -> Equilateral

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