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Day 263: CDS Maths

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

  1. Question 1

    Averages. Asked once: CDS 1 2018

    31
    At present the average of the ages of a father and a son is 25 years. After seven years the son will be 17 years old. What will be the age of the father after 10 years?

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  2. Question 2

    Circles. Asked once: CDS 1 2021

    83
    ABAB and CDCD are the diameters of a circle which intersect at PP. Join ACAC, CBCB, BDBD and DADA. If ∠PAD=60∘\angle PAD = 60^\circ, then what is ∠BPD\angle BPD equal to?

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  3. Question 3

    Data Interpretation. Asked once: CDS 2 2019

    67
    The monthly expenditure of a person is Rs. 6,000. The distribution of expenditure on various items is as follows :
    Item of expenditureAmount (in Rs.)
    1.Food2,000
    2.Clothing660
    3.Fuel and rent1,200
    4.Education480
    5.Miscellaneous1,660
    If the above data is represented by a percentage bar diagram of height 15 cm, then what are the lengths of the two segments of the bar diagram corresponding to education and miscellaneous respectively ?

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  4. Question 4

    Heights and Distances. Asked once: CDS 1 2020

    56
    On a plane area there are two vertical towers separated by 100 feet apart. The shorter tower is 40 feet tall. A pole of length 6 feet stands on the line joining the base of two towers so that the tip of the towers and tip of the pole are also on the same line. If the distance of the pole from the shorter tower is 75 feet, then what is the height of the taller tower (approximately)?

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  5. Question 5

    Linear Equations. Asked once: CDS 2 2020

    27
    Ena was born 4 years after her parents marriage. Her mother is 3 years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married ?

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