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  • Question
  • If each side of a square is increased by 25%, find the percentage change in its area.


  • Options
  • A. 56.25%
  • B. 36.25%
  • C. 16.25%
  • D. 12.25%

  • Correct Answer
  • 56.25% 

    Explanation

    Let each side of the square be a. Then, area = . a 2
    New side = 125 a 100 = 5 a 4 . New area =  5 a 4 2  =  25 a 2 16

     

    Increase in area =  25 a 2 16 - a 2 = 9 a 2 16
    Increase% =  9 a 2 16 * 1 a 2 * 100  % = 56.25%.

  • Tags: Bank Exams, Bank PO

    Area problems


    Search Results


    • 1. The ratio of bases of two triangles is x:y and that of their areas is a:b. Then the ratio of their corresponding altitudes wll be

    • Options
    • A. ay:bx
    • B. a:b
    • C. x:y
    • D. bx:ay
    • Discuss
    • 2. A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt

    • Options
    • A. 680rs
    • B. 480rs
    • C. 340rs
    • D. 320rs
    • Discuss
    • 3. In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

    • Options
    • A. 40/3%
    • B. 20%
    • C. 25%
    • D. 27%
    • Discuss
    • 4. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

    • Options
    • A. Rs. 4082.40
    • B. Rs. 1024.21
    • C. Rs. 2810.6
    • D. Rs. 3214
    • Discuss
    • 5. The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ?

    • Options
    • A. 15 mts
    • B. 30 mts
    • C. 24 mts
    • D. 36 mts
    • Discuss
    • 6. If the perimeters of a square and a rectangle are the same, then the area a & b enclosed by them would satisfy the condition:

    • Options
    • A. a
    • B. a>b
    • C. a=b
    • D. none
    • Discuss
    • 7. The area of a square field is 69696sq.cm..its diagonal will be equal to

    • Options
    • A. 373
    • B. 573
    • C. 473
    • D. 673
    • Discuss
    • 8. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

    • Options
    • A. 844
    • B. 814
    • C. 840
    • D. 820
    • Discuss
    • 9. A parallelogram PQRS, the length of whose sides are 8 cm and 12 cm, has one diagonal 10 cm long Ile length of the other diagonal is approximately:

    • Options
    • A. 17.8 cm
    • B. 17.5 cm
    • C. 17 cm
    • D. 18 cm
    • Discuss
    • 10. The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:

    • Options
    • A. 75
    • B. 85
    • C. 95
    • D. 105
    • Discuss


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