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Home Verbal Reasoning Arithmetic Reasoning See What Others Are Saying!
  • Question
  • A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?


  • Options
  • A. 28
  • B. 29
  • C. 31
  • D. 35

  • Correct Answer
  • 28 

    Explanation

    Clearly, we have :

    A = B - 3 ...(i)

    D + 5 = E ...(ii)

    A+C = 2E ...(iii)

    B + D = A+C = 2E ...(iv)

    A+B + C + D + E=150 ...(v)

    From (iii), (iv) and (v), we get: 5E = 150 or E = 30.

    Putting E = 30 in (ii), we get: D = 25.

    Putting E = 30 and D = 25 in (iv), we get: B = 35.

    Putting B = 35 in (i), we get: A = 32.

    Putting A = 32 and E = 30 in (iii), we get: C = 28.


  • More questions

    • 1. 
      NA

    • Options
    • A. Basket
    • B. Barrel
    • C. Bag
    • D. Barrow
    • Discuss
    • 2. 
      NA

    • Options
    • A. B-F
    • B. J-N
    • C. M-Q
    • D. T-U
    • Discuss
    • 3. 
      10 : 91 :: 9 :?

    • Options
    • A. 69
    • B. 72
    • C. 9
    • D. 97
    • Discuss
    • 4. 
      63 : 21 :: 27 :?

    • Options
    • A. 6
    • B. 9
    • C. 1
    • D. 3
    • Discuss
    • 5. 
      Who sits between G and D?

    • Options
    • A. H
    • B. D
    • C. F
    • D. E
    • Discuss
    • 6. Find the odd one out:

    • Options
    • A. 49
    • B. 36
    • C. 65
    • D. 100
    • Discuss
    • 7. 
      NA

    • Options
    • A. Ring
    • B. Tyre
    • C. Plate
    • D. Bangle
    • Discuss
    • 8. 
      NA

    • Options
    • A. Huge
    • B. Tiny
    • C. Heavy
    • D. Small
    • Discuss
    • 9. 
      15/20 ÷ 4/5 x 2/3 x 8/5 =?

    • Options
    • A. 0
    • B. 1
    • C. 3
    • D. 5
    • Discuss
    • 10. 
      NA

    • Options
    • A. Raft
    • B. Chariot
    • C. Sledge
    • D. Cart
    • Discuss


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