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Day 118: SSC CGL Tier II Quant

5 questions. Try each one first, then open its answer.

  1. Question 1

    Triangles. Asked once: 29 Jan 2022 Tier II

    5
    In △ABC\triangle ABC, MM is the midpoint of the side ABAB. NN is a point in the interior of △ABC\triangle ABC such that CNCN is the bisector of ∠C\angle C and CN⊥NBCN \perp NB. What is the length (in cm) of MNMN, if BC=10BC = 10 cm and AC=15AC = 15 cm?

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  2. Question 2

    Triangles. Asked once: 29 Jan 2022 Tier II

    54
    In ΔABC\Delta ABC, OO is the point of intersection of the bisectors of ∠B\angle B and ∠A\angle A. If ∠BOC=108∘\angle BOC = 108^\circ, then ∠BAO=\angle BAO = ?

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  3. Question 3

    Triangles. Asked once: 15 Nov 2020 Tier II

    99
    In Δ\DeltaABC, ∠\angleA −- ∠\angleB = 33∘33^\circ, ∠\angleB −- ∠\angleC = 18∘18^\circ. What is the sum of the smallest and the largest angles of the triangle?

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  4. Question 4

    Triangles. Asked once: 15 Nov 2020 Tier II

    2
    In Δ\DeltaABC, D and E are the mid points of sides BC and AC, respectively. If AD = 10.8 cm, BE = 14.4 cm and AD and BE intersect at G at a right angle, then the area (in cm2\text{cm}^2) of Δ\DeltaABC is:

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  5. Question 5

    Triangles. Asked once: 15 Nov 2020 Tier II

    72
    The perimeters of Δ\DeltaABC and Δ\DeltaDEF are 43.2 cm and 28.8 cm, respectively, and Δ\DeltaABC∼\simΔ\DeltaDEF. If DE = 12 cm, then the length of AB is:

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