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  • Question
  • A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold?


  • Options
  • A. 4
  • B. 5
  • C. 6
  • D. 7

  • Correct Answer


  • Explanation
    Clearly, the black cards are either clubs or spades while the red cards are either diamonds or hearts.

    Let the number of spades be x. Then, number of clubs = (7 - x).

    Number of diamonds = 2 x number of spades = 2x;

    Number of hearts = 2 x number of diamonds = 4x.

    Total number of cards = x + 2x + 4x + 7 - x = 6x + 7.

    Therefore 6x + 7 = 13 ⟺ 6x = 6 ⟺ x - 1.

    Hence, number of clubs = (7 - x) = 6.

    Tags: Bank Exams

    Arithmetic Reasoning problems


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    • 1. A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. If every 2 out of 3 readymade shirts need alterations in the sleeves, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts?

    • Options
    • A. 88
    • B. 123
    • C. 133
    • D. 143
    • Discuss
    • 3. A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back?

    • Options
    • A. 13
    • B. 15
    • C. 17
    • D. 20
    • Discuss
    • 4. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed

    • Options
    • A. 30 birds
    • B. 60 birds
    • C. 72 birds
    • D. 90 birds
    • Discuss
    • 5. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is

    • Options
    • A. 120
    • B. 124
    • C. 144
    • D. 200
    • Discuss
    • 6. Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is

    • Options
    • A. 18
    • B. 22
    • C. 42
    • D. 43
    • Discuss
    • 7. A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?

    • Options
    • A. 1000
    • B. 1074
    • C. 1075
    • D. 1080
    • Discuss
    • 8. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

    • Options
    • A. 19
    • B. 28
    • C. 30
    • D. 37
    • Discuss
    • 9. Find the number which when added to itself 13 times, gives 112.

    • Options
    • A. 7
    • B. 8
    • C. 9
    • D. 11
    • Discuss
    • 10. The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the charges paid are Rs. 204. What will a person have to pay for travelling a distance of 30 km?

    • Options
    • A. Rs. 236
    • B. Rs. 240
    • C. Rs. 248
    • D. Rs. 252
    • Discuss


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