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Quiz: Arithmetic Reasoning

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Number of Questions: 57

Question: 1 -

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?

Options:

  1. 2/13

  2. Data inadequate

  3. 13/40

  4. None of these

    5. Answer:
    Data inadequate
    Solution not available.

Question: 2 -

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

Options:
  1. Rs. 13, Rs. 17

  2. Rs. 17, Rs. 13

  3. Rs. 4, Rs. 23

  4. Rs. 15, Rs. 14

    5. Answer:
    Rs. 13, Rs. 17
    Solution:

    Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

    Then, 2x + 3y = 77 ...(i) and

    3x + 2y = 73 ...(ii)

    Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

    Putting y = 17 in (i), we get: x = 13

Question: 3 -

The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

Options:

  1. 71 years

  2. 74 years

  3. 72 years

  4. 77 years

    5. Answer:

    71 years
    Solution:

    Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

Question: 4 -

A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?

Options:

  1. 25

  2. 22

  3. 35

  4. 23

    5. Answer:

    23
    Solution:

    Clearly, we have :

    B-3 = E ...(i)

    B + 3 = D ...(ii)

    A+B = D + E+10 ...(iii)

    B = C + 2 ...(iv)

    A+B + C + D + E= 133 ...(v)

    From (i) and (ii), we have : 2 B = D + E ...(vi)

    From (iii) and (vi), we have : A = B + 10 ...(vii)

    Using (iv), (vi) and (vii) in (v), we get:

    (B + 10) + B + (B - 2) + 2B = 133  5B = 125  B = 25.

Question: 5 -

A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

Options:

  1. 12

  2. 24

  3. 16

  4. 8

    5. Answer:

    8
    Solution: