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Day 344: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 1 2017

    99
    ABCD is a square. X is the mid-point of AB and Y is the mid-point of BC. Consider the following statements : 1. Triangles ADX and BAY are congruent. 2. ∠DXA=∠AYB\angle DXA = \angle AYB. 3. DX is inclined at an angle 60∘60^\circ with AY. 4. DX is not perpendicular to AY. Which of the above statements are correct ?

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  2. Question 2

    Mensuration 2D. Asked once: CDS 1 2018

    98
    In the equilateral triangle ABC given below, AD = DB and AE = EC. If ll is the length of a side of the triangle, then what is the area of the shaded region ?

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  3. Question 3

    Number System. Asked once: CDS 1 2018

    41
    All odd prime numbers upto 110 are multiplied together. What is the unit digit in this product?

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  4. Question 4

    Triangles. Asked once: CDS 1 2017

    92
    In the figure given below, AC is parallel to ED and AB = DE = 5 cm and BC = 7 cm. What is the area ABDE : area BDE : area BCD equal to ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2018

    70
    In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book-shelves of size 4 m×1 m×9 m4\,\text{m} \times 1\,\text{m} \times 9\,\text{m} are also placed in the room. If half of the rest of the area in the room is to be carpeted at the rate of Rs. 100 per square metre, what is the cost of carpeting (approximately) ?

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