Asked in Maths and Science Reasoning Mock

Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?

Correct answer: C. II & IV

  • A. I & IV
  • B. I & III
  • C. II & IV
  • D. IV & V

Explanation

Option C is correct as the information is to find the angle at B(ii) states that Angle BCD= 100° i.e Angle BCA= 180°-100° =80°(as angle on a straight line =180°)If AB=BC,then the triangle is isosceles which means that both these lines would have the same angle i.e BAC=80° alsoSum of triangle =180°Angle ABC+BAC+BCA=180°Angle ABC+80+80=180°180-160=20°Angle at `b=20°The information provided is sufficient to find the angle at BAll the other options does not provide sufficient information to find the angle at B

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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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