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  • Question
  • A sum of Rs.1890 has to be used to give 9 prizes to the customers of a super market for their overall academic purchases. If each prize is Rs.30 less than its preceding price, what is the least value of the price ?


  • Options
  • A. 90
  • B. 95
  • C. 85
  • D. 80

  • Correct Answer
  • 90 

    Explanation

    Let the least value of the prize = Rs. x

    Then the next value of the prize is x+30 , x+60, x+90, ....x+240.

    Given total amount of cash prizes = Rs.1890

    --> x + (x+30) + (x+60) + (x+90) + ....+ (x+240) = 1890

    --> 9x + (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240) = 1890

    --> 9x + 30(1 + 2 + 3 + 4....+ 8) = 1890

    --> 9x + 30(36) = 1890

    --> 9x = 810 --> x=90

    Hence the least value of the prize x=90

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

    Mathematical Operations problems


    Search Results


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    • Options
    • A. 1 7/12
    • B. 1 5/12
    • C. 3 7/12
    • D. 3 1/12
    • Discuss
    • 2. What approximate value will come in place of question mark (?) in the following question ? (49.001)2 = ?

    • Options
    • A. 2500
    • B. 2400
    • C. 2600
    • D. 2300
    • Discuss
    • 3. The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

    • Options
    • A. u = 1, v = 0
    • B. u = 1, v = 3/2
    • C. u = 0, v = 3/4
    • D. u = 0, v = 1
    • Discuss
    • 4. In a cricket match, five batsmen P, Q, R, S and T scored an average of 36 runs. S Scored 5 more than T; T scored 8 fewer than P; Q scored as many as S and T combined; and Q and R scored 107 between them. How many runs did T score ?

    • Options
    • A. 20
    • B. 29
    • C. 28
    • D. 24
    • Discuss
    • 5. In a group of buffaloes and ducks the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?

    • Options
    • A. 6
    • B. 18
    • C. 12
    • D. 24
    • Discuss
    • 6. The value of -4-(-10) is how much greater then the value of -10-(-4) ?

    • Options
    • A. 10
    • B. 6
    • C. 12
    • D. 0
    • Discuss
    • 7. Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3 ? A) 3x2+5x+2=0 B) 5x2+3x+2=0 C) 3x2-5x-2=0 D) None

    • Options
    • A. A
    • B. B
    • C. C
    • D. D
    • Discuss
    • 8. The last two digits of 2151415 ?

    • Options
    • A. 81
    • B. 61
    • C. 91
    • D. 51
    • Discuss
    • 9. Find the Value of ? 5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34

    • Options
    • A. 81
    • B. 77
    • C. 73
    • D. 89
    • Discuss
    • 10. Can you Solve 7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 =

    • Options
    • A. 112
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    • C. 0
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