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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. 
      c _ bba _ cab _ ac _ ab _ ac

    • Options
    • A. abcbc
    • B. acbcb
    • C. babcc
    • D. bcacb
    • Discuss
    • 2. 
      NA

    • Options
    • A. 14th November
    • B. 15th August
    • C. 26th January
    • D. 2nd October
    • Discuss
    • 3. 
      Nebulous : Form

    • Options
    • A. Insincere : Misanthrope
    • B. Benevolent : Excellence
    • C. Insipid : Taste
    • D. Composed : Innocence
    • Discuss
    • 4. 3 : 12 :: 5 :?

    • Options
    • A. 25
    • B. 35
    • C. 30
    • D. 15
    • Discuss
    • 5. 
      Paper : Tree :: Glass :?

    • Options
    • A. Window
    • B. Sand
    • C. Stone
    • D. Mirror
    • Discuss
    • 6. 
      Statement:
      Poverty persists under conditions where human resource is undervalued, and land and other material resources are overvalued.
      Assumptions:
      I. Poverty can be eradicated by enhancing the human resource value.
      II. There should be a balance between the valuation of human and material resources.

    • Options
    • A. if only assumption I is implicit.
    • B. if only assumption II is implicit.
    • C. if either I or II is implicit.
    • D. if neither I nor II is implicit.
    • Discuss
    • 7. 
      'Tall' is related to 'Dwarf' in the same way as 'Kind' is related to

    • Options
    • A. Weak
    • B. Gentle
    • C. Cruel
    • D. Forgive
    • Discuss
    • 8. 
      Truthfulness : Liar : : Loyalty :?

    • Options
    • A. Worker
    • B. Traitor
    • C. Diligent
    • D. Faithful
    • Discuss
    • 9. 
      Statements:
      H * T, T S B, B © R
      Conclusions:
      I. R © H II. B © H III. T % R

    • Options
    • A. Only i is true
    • B. Only I and II are true
    • C. Only I and III are true
    • D. Only II and III are true
    • Discuss
    • 10. 
      _OPQ, N_PQ, NO_Q, NOP_

    • Options
    • A. ONQP
    • B. NOQP
    • C. NOPQ
    • D. PQNO
    • Discuss


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