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RRB JE 2019 | Day 52 | Quant [Properties of Triangles] Quiz 31

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Question 1

Let O be the in-centre of a triangle ABC and D be a point on the side BC of ∆ABC, such that OD ⊥ BC. If ∠BOD = 15 °, then ∠ABC =

Question 2

D is any point on side AC of ABC. IF P, Q, X, Y are the midpoints of AB, BC, AD and DC respectively, then the ratio of PX and QY is

Question 3

The sides of a triangle are in the ratio

and its perimeter is 94 cm. The length of the smallest side of the triangle is:

Question 4

If in a ∆ABC, the medians CD and BE intersect each other at O, then the ratio of the areas of ∆ODE and ∆ABC is

Question 5

If the length of the side of an equilateral triangle is 8 cm, what is its area?

Question 6

ABC is an isosceles right angled triangle with ∠B = 90 °. On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of areas of ΔABE and ΔACD is

Question 7

If a, b and c are the sides of a triangle and

then the triangle is

Question 8

ABCD is a trapezium in which AB || DC and AB = 2 CD. The diagonals AC and BD meet at O. The ratio of areas of triangles AOB and COD is

Question 9

AD is the Median of a triangle ABC and O is the centroid such that AO = 10 cm. Length of OD (in cm) is

Question 10

The points D and E are taken on the sides AB and AC of

such that AD = 1/3AB, AE = 1/3AC. If the length of BC is 15 cm, then the length of DE is:

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ESE & GATE EE Quantitative Aptitude

Jul 24ESE & GATE EE