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  • Question
  • The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?


  • Options
  • A. 10cm
  • B. 20cm
  • C. 30cm
  • D. 40cm

  • Correct Answer
  • 20cm 

    Explanation

    Let the breadth of the given rectangle be x then length is 2x.
    thus area of the given rect is  2 x 2

     

     

     

    after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)= 2 x 2 + 5 x - 25

    since new area is 75 units greater than original area thus
    2 x 2 + 75   =   2 x + 5 x - 25
    5x=75+25
    5x=100
    therefore x=20
    hence length of the rectangle is 40 cm.


  • More questions

    • 1. 
      2508 ÷ 15.02 +? x 11 = 200

    • Options
    • A. 13
    • B. 8
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      When the speed of a boat in still water is 4 km/h and the rate of stream is 2 km/h, find upstream speed of the boat.?

    • Options
    • A. 6 km/h
    • B. 5 km/h
    • C. 2 km/h
    • D. 7 km/h
    • Discuss
    • 3. 
      The sum of three consecutive odd number is 57. The middle one is?

    • Options
    • A. 19
    • B. 21
    • C. 23
    • D. 17
    • Discuss
    • 4. 
      Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes does the train stop?

    • Options
    • A. 20
    • B. 15
    • C. 25
    • D. 45
    • Discuss
    • 5. 
      Raman's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 yr. What is the difference between the present ages of Raman's daughter and Raman's mother?

    • Options
    • A. 45 yr
    • B. 40 yr
    • C. 50 yr
    • D. Connot be determined
    • Discuss
    • 6. 
      A boat running upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running downstream. What is the ratio between the speed of the water current, respectively?

    • Options
    • A. 2 : 1
    • B. 3 : 2
    • C. 8 : 3
    • D. Couldn't be determined
    • Discuss
    • 7. 
      Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4. What will be the total of their present ages?

    • Options
    • A. 8 years
    • B. 20 years
    • C. 35 years
    • D. 45 years
    • Discuss
    • 8. 
      In ten years, A will be twice as old as B was 10 years ago. If A is now 9 years older then B. Find the present age of B?

    • Options
    • A. 39 year
    • B. 40 year
    • C. 36 year
    • D. 49 year
    • Discuss
    • 9. 
      Mahatma Gandhi was born on October 2, 1869. The day of the week was:

    • Options
    • A. Sunday
    • B. Monday
    • C. Saturday
    • D. Friday
    • Discuss
    • 10. 
      Change 75/100 into decimal number.

    • Options
    • A. 0.075
    • B. 0.75
    • C. 0.0075
    • D. 7.5
    • Discuss


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