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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%.


  • More questions

    • 1. 
      The smallest positive prime (say p) such that 2 p - 1is not a prime is

    • Options
    • A. 5
    • B. 11
    • C. 17
    • D. 29
    • Discuss
    • 2. 16, 25, 36, 72, 144, 196, 225

    • Options
    • A. 36
    • B. 72
    • C. 196
    • D. 225
    • Discuss
    • 3. 8, 13, 21, 32, 47, 63, 83

    • Options
    • A. 47
    • B. 63
    • C. 32
    • D. 83
    • Discuss
    • 4. 
      [( 3.242 x 14 ) / 100] =?

    • Options
    • A. 0.045388
    • B. 4.5388
    • C. 453.88
    • D. None of these
    • Discuss
    • 5. From a point P on a level ground, the angle of elevation of the top of a tower is 30°, if the tower is 100 m high, find the distance of point P from the foot of the tower.

    • Options
    • A. 100 m
    • B. 173 m
    • C. 200 m
    • D. 273 m
    • Discuss
    • 6. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

    • Options
    • A. 2 years
    • B. 4 years
    • C. 6 years
    • D. 8 years
    • Discuss
    • 7. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

    • Options
    • A. 4%
    • B. 6¼%
    • C. 20%
    • D. 25%
    • Discuss
    • 8. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

    • Options
    • A. 14 km
    • B. 15 km
    • C. 16 km
    • D. 17 km
    • Discuss
    • 9. 
      3.2 x 8.1 + 3185 ÷ 4.95 =?

    • Options
    • A. 670
    • B. 660
    • C. 645
    • D. 690
    • Discuss
    • 10. 
      Exp. = (.35 x .0015) / (.25 x .07) written as a percentage is?

    • Options
    • A. 0.3 %
    • B. 3 %
    • C. 30 %
    • D. None of these
    • Discuss


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