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  • Question
  • 217 x 217 + 183 x 183 = ?


  • Options
  • A. 84521
  • B. 87487
  • C. 80578
  • D. 78458

  • Correct Answer
  • 80578 

    Explanation

    217 2 + 183 2

     

    = 200 + 17 2 + 200 - 17 2

     

    It is in the form of  a + b 2 + a - b 2 = 2 a 2 + b 2

     

    = 2(40000 + 289) = 80578.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    Simplification problems


    Search Results


    • 1. Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ?

    • Options
    • A. 23
    • B. 24
    • C. 25
    • D. 26
    • Discuss
    • 2. If 3x-y=27 , 3x+y=243 then find the x value

    • Options
    • A. 2
    • B. 8
    • C. 4
    • D. 1
    • Discuss
    • 3. If a+b=5 and 3a+2b=20,then (3a+b)will be :

    • Options
    • A. 20
    • B. 15
    • C. 25
    • D. 30
    • Discuss
    • 4. Simplify 413 + 215 + 414 = ?

    • Options
    • A. 10 47/60
    • B. 11 45/73
    • C. 11 47/36
    • D. 10 35/48
    • Discuss
    • 5. 1397 x 1397 = ? Here what replaces '?'

    • Options
    • A. 1951609
    • B. 1821504
    • C. 2031489
    • D. 1847879
    • Discuss
    • 6. A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?

    • Options
    • A. 15
    • B. 20
    • C. 10
    • D. 8
    • Discuss
    • 7. Solve this inequality 3b - 7 < 32?

    • Options
    • A. b = 13
    • B. b < 13
    • C. b > = 13
    • D. b < = 13
    • Discuss
    • 8. Simplify and find '?' 48?+32? = 320

    • Options
    • A. 4
    • B. 8
    • C. 16
    • D. 32
    • Discuss
    • 9. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to ___ ?

    • Options
    • A. 3.7
    • B. 2.7
    • C. 3.6
    • D. 2.9
    • Discuss
    • 10. The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 8 : 9. Then what is the number of visitors on the 5th day of the library ?

    • Options
    • A. 54
    • B. 64
    • C. 68
    • D. 72
    • Discuss


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