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Quiz: Arithmetic Reasoning

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Number of Questions: 57

Question: 6 -

A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?

Options:

  1. Middle finger

  2. Thumb

  3. Ring finger

  4. Index finger

    5. Answer:

    Index finger
    Solution:

    Clearly, while counting, the numbers associated to the thumb will be : 1, 9,17, 25,.....

    i.e. numbers of the form (8n + 1).

    Since 1994 = 249 x 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.

Question: 7 -

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is

Options:

  1. 34 years

  2. 45 years

  3. None of these

  4. 23 years

    5. Answer:

    45 years
    Solution:

    Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.

    Then, woman's age = (10X + y) years; husband's age = (10y + x) years.

    Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)

     (9y-9x) = (1/11)(11y + 11x) = (x + y)  10x = 8y  x = (4/5)y

    Clearly, y should be a single-digit multiple of 5, which is 5.

    So, x = 4, y = 5.

    Hence, woman's age = 10x + y = 45 years.

Question: 8 -

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

Options:

  1. 75

  2. 90

  3. 60

  4. 45

    5. Answer:

    90
    Solution:

    Let number of notes of each denomination be x.

    Then, x + 5x + 10x = 480  16x = 480  x = 30.

    Hence, total number of notes = 3x = 90.

Question: 9 -

What is the product of all the numbers in the dial of a telephone ?

Options:

  1. 1,58,480

  2. 1,59,480

  3. 1,59,450

  4. None of these

    5. Answer:

    None of these
    Solution:

    Since one of the numbers on the dial of a telephone is zero, so the product of all the numbers on it is 0.

Question: 10 -

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is

Options:

  1. 2

  2. 4

  3. Data inadequate

  4. 3

    5. Answer:

    4
    Solution: