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  • Question
  • If a--b = 4 and ab = 45, find the value of a3 - b3


  • Options
  • A. 604
  • B. 370
  • C. 253
  • D. 199

  • Correct Answer
  • 604 

    Explanation

    ( a   ?   b ) 2   =   a 2   +   b 2   - 2 ab   ?   16   =   a 2   +   b 2   ?   90   ?   a 2   +   b 2   =   106   a 3   ?   b 3   =   ( a   ?   b )   ( a 2   +   b 2   +   ab )   ?   a 3   ?   b 3   =   4   X   ( 106   +   45 )   ?   a 3   ?   b 3   =   4   X   151   ?   a 3   ?   b 3   =   604

  • Tags: Bank Exams

    Simplification problems


    Search Results


    • 1. The number whose square is equal to the difference of the squares of 37 and 23 is:-

    • Options
    • A. 45.09
    • B. 28.98
    • C. 47.09
    • D. 28
    • Discuss
    • 2. If a sum of money deposited in a bank at simple interest is doubled in 6 years, then after 12 years, the amount will be

    • Options
    • A. 5/2times the original amount
    • B. 3times the original amount
    • C. 7/2times the original amount
    • D. 4times the original amount
    • Discuss
    • 3. If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby

    • Options
    • A. 2
    • B. 5
    • C. 6
    • D. 9
    • Discuss
    • 4. AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is

    • Options
    • A. 10 cm
    • B. 14 cm
    • C. 5 cm
    • D. 7 cm
    • Discuss
    • 5. In ?ABC, ?B=35°, ?C=65° and the bisector of ?BAC meets BC in D. Then ADB is

    • Options
    • A. 40°
    • B. 75°
    • C. 90°
    • D. 105°
    • Discuss
    • 6. If a/(a+b) = 15/21, what is (a+b)/(a-b) is equal to?

    • Options
    • A. 13/9
    • B. 23/11
    • C. 14/5
    • D. 21/9
    • Discuss
    • 7. (798+579)2- (798-579)2798 x 579 =

    • Options
    • A. 2
    • B. 6
    • C. 4
    • D. 8
    • Discuss
    • 8. If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

    • Options
    • A. 5
    • B. 15/8
    • C. 8/15
    • D. 16/3
    • Discuss
    • 9. The sum of two positive integers is 80 & difference between them is 20. Then what is difference of squares of those numbers ?

    • Options
    • A. 1400
    • B. 1600
    • C. 1800
    • D. 2000
    • Discuss
    • 10. In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is 540 and fee of each girl is 25% less than that of a boy. The sum of fees of boys & girl is

    • Options
    • A. Rs. 720600
    • B. Rs. 720800
    • C. Rs. 720900
    • D. Rs. 721000
    • Discuss


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