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Quantitative Aptitude

MENSURATION MCQs

Regular Polygons, Triangles, Circles

Total Questions : 254 | Page 20 of 26 pages
Question 191. Let ABC be an equilateral triangle and AD perpendicular to BC, then AB2 + BC2 + CA2 = ?
  1.    3AD2
  2.    5AD2
  3.    2AD2
  4.    4AD2
 Discuss Question
Answer: Option D. -> 4AD2
Question 192. In a ΔABC, If 2∠A = 3∠B = 6∠C, then the value of ∠B is:
  1.    60°
  2.    30°
  3.    45°
  4.    90°
 Discuss Question
Answer: Option A. -> 60°
Question 193. In ΔABC, AD ⊥ BC and AD2 = BD × DC. The measure of ∠BAC is :
  1.    75°
  2.    90°
  3.    45°
  4.    60°
 Discuss Question
Answer: Option B. -> 90°
Question 194. In ΔABC, AB = BC = K, AC = $$\sqrt 2 $$ k, then ΔABC is a :
  1.    Right isosceles triangle
  2.    Isosceles triangle
  3.    Right-angled triangle
  4.    Equilateral triangle
 Discuss Question
Answer: Option A. -> Right isosceles triangle
Question 195. In ΔABC and ΔPQR, ∠B = ∠Q, ∠C = ∠R. M is the midpoint on QR, If AB : PQ = 7 : 4, then $$\frac{{{\text{area}}\,\left( {\vartriangle ABC} \right)}}{{{\text{area}}\,\left( {\vartriangle PMR} \right)}}$$   is :
  1.    $$\frac{{35}}{8}$$
  2.    $$\frac{{35}}{{16}}$$
  3.    $$\frac{{49}}{{16}}$$
  4.    $$\frac{{49}}{8}$$
 Discuss Question
Answer: Option D. -> $$\frac{{49}}{8}$$
Question 196. In ΔABC, ∠B = 70° and ∠C = 30°, AD and AE are respectively the perpendicular on side BC and bisector of ∠A. The measure of ∠DAE is:
  1.    24°
  2.    10°
  3.    15°
  4.    20°
 Discuss Question
Answer: Option D. -> 20°
Question 197. In ΔABC and ΔDEF, if ∠A = 50°, ∠B = 70°, ∠C = 60°, ∠D = 60°, ∠E = 70° and ∠F = 50°, then
  1.    ΔABC ∼ ΔFED
  2.    ΔABC ∼ ΔDFE
  3.    ΔABC ∼ ΔEDF
  4.    ΔABC ∼ ΔDEF
 Discuss Question
Answer: Option A. -> ΔABC ∼ ΔFED
Question 198. In ΔABC, ∠B = 60° and ∠C = 40°; AD and AE are respectively the bisector of ∠A and perpendicular on BC. The measure of ∠EAD is:
  1.    9°
  2.    11°
  3.    10°
  4.    12°
 Discuss Question
Answer: Option C. -> 10°
Question 199. In ΔABC, the line parallel to BC intersect AB & AC at P & Q respectively. If AB : AP = 5 : 3, then AQ : QC is:
  1.    3 : 2
  2.    1 : 2
  3.    3 : 5
  4.    2 : 3
 Discuss Question
Answer: Option A. -> 3 : 2
Question 200. ABC is an equilateral triangle. Points D, E and F are taken as the mid-point on sides AB, BC, AC respectively, so that AD = BE = CF. Then AE, BF, CD enclosed a triangle which is:
  1.    Equilateral
  2.    Isosceles triangle
  3.    Right angle triangle
  4.    None of these
 Discuss Question
Answer: Option A. -> Equilateral

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