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  • Question
  • 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

  • Correct Answer
  • 12 

    Explanation

    Let the number of buffaloes be x

     and number of ducks be y.

    Now, number of heads = x+y

    Number of legs = 4x+2y  .......(1) 

    But given that legs = 2(x+y)+24 ......(2)

     

    solving (1) & (2),we get

     

    4x+2y=2x+2y+24 

     

    --> x=12.

     

    Therefore number of buffaloes =12

  • Tags: CAT

    Mathematical Operations problems


    Search Results


    • 1. If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ?

    • Options
    • A. 18
    • B. 28
    • C. 31
    • D. 103
    • Discuss
    • 2. 12:30 :: 14: ?

    • Options
    • A. 36
    • B. 28
    • C. 35
    • D. 42
    • Discuss
    • 3. If × means ÷, - means ×, ÷ means + and + means- than (3 - 15 ÷ 19) × 8 + 6 = ?

    • Options
    • A. 8
    • B. 4
    • C. 2
    • D. -1
    • Discuss
    • 4. Select the correct set of symbols which will fit in the given equation? 5 0 3 5 = 20

    • Options
    • A. x, x, x
    • B. -, +, x
    • C. x, +, x
    • D. +, -, x
    • Discuss
    • 5. Given intercharges : Signs + and x and numbers 4 and 5.

    • Options
    • A. 5 x 4 + 20 = 40
    • B. 5 x 4 + 20 = 85
    • C. 5 x 4 + 20 = 104
    • D. 5 x 4 + 20 = 95
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. What should come in place of the question mark(?) in the following questions ? 316 + 412 - 223 - 11112 = ?

    • Options
    • A. 1 7/12
    • B. 1 5/12
    • C. 3 7/12
    • D. 3 1/12
    • Discuss
    • 10. 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
    • Discuss


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