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Home Aptitude Elementary Algebra Comments

  • Question
  • A piece of cloth cost ? 120. If the piece, then was 2 m longer and each metre of cloth costs ? 2 less than cost of the piece of cloth would have remained unchanged. What is the original rate per metre of the cloth?


  • Options
  • A. ? 12
  • B. ? 15
  • C. ? 10
  • D. ? 8

  • Correct Answer
  • ? 12 

    Explanation

    Let the length of the piece be L m.
    Then,rate per metre = ? 120/L
    New length = (L + 2) m
    Since, the cost remains same.
    ? New rate per metre =Rs.120/(L + 2)
    According to the given condition, 120/L - 120/(L + 2) = 2
    ? [120(L + 2) - 120L]/L(L + 2) = 2
    ? [120L + 240 - 120L] / L(L + 2) = 2
    ? [120L + 240 -120L] / L(L + 2) = 2
    ? 240/L(L + 2) = 2
    ? 240 = 2L(L + 2)
    ? 120 = L(L + 2) = L2 + 2L
    ? L2 + 2L - 120 = 0
    ? L2 + 12L - 10L - 120 = 0
    ? L(L + 12) - 10 x (L + 12) = 0
    ? (L + 12)(L - 10) = 0
    ? L + 12 = 0 or L - 10 = 0
    ? L = -12 or 10
    ? L = 10(since, L cannot be negative)
    ? Original rate per metre of cloth = 120/L = 120/10 = ? 12


  • Elementary Algebra problems


    Search Results


    • 1. 
      The degree of polynomial p(x) = x 3 + 1 + 2x = 6x + 1/x is?

    • Options
    • A. 2
    • B. 4
    • C. 3
    • D. 5
    • Discuss
    • 2. 
      The sum of the squares of two numbers is 234 and the square of their difference is 144. Find the product of the two numbers?

    • Options
    • A. 28
    • B. 52
    • C. 36
    • D. 45
    • Discuss
    • 3. 
      If the price of a book when reduced by Rs. 5,a person can buy 2 more books for Rs. 200. Find the original price of the book?

    • Options
    • A. Rs. 25
    • B. Rs. 30
    • C. Rs. 20
    • D. Rs. 15
    • Discuss
    • 4. 
      In a rare coins collection, there is one gold coins for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1:2. Based on the information, the total number of coins in the collection now becomes?

    • Options
    • A. 90
    • B. 80
    • C. 60
    • D. 50
    • Discuss
    • 5. 
      A person has only ? 1 and ? 2 coins with him. If the total number of coins that he has is 50 and the amount of money with him is 75, then the number of coins ? 1 and ? 2, respectively are?

    • Options
    • A. 15 and 35
    • B. 35 and 15
    • C. 30 and 20
    • D. 25 and 25
    • Discuss
    • 6. 
      If ?0.03 x 0.3 a = 0.03 x 0.3 x ? b then value of
      a
      is
      b

    • Options
    • A. 0.009
    • B. 0.9
    • C. 0.09
    • D. 0.08
    • Discuss
    • 7. 
      Area of the triangle formed by the graph of the line 2x ? 3y + 6 = 0 along with the coordinate axes is:

    • Options
    • A. 1 sq. units 2
    • B. 3 sq. units 2
    • C. 3 sq. units
    • D. 6 sq. units
    • Discuss
    • 8. 
      If the distance between two points (0,?5) and (x,0) is 13 unit, then x =

    • Options
    • A. 10
    • B. ± 10
    • C. 12
    • D. ± 12
    • Discuss
    • 9. 
      If x = 997, y = 998, z = 999, then the value of x2 + y 2 + z 2 ? xy ? yz ? zx will be

    • Options
    • A. 3
    • B. 9
    • C. 16
    • D. 4
    • Discuss
    • 10. 
      If, a + b + c = 0, the value of (
      a 2
      +
      b 2
      +
      c 2
      ) is
      bc ca
      ab

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss


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