Quiz: Arithmetic Reasoning

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Number of Questions: 57

Question: 11 -

12 year old Manick is three times as old as his brother Rahul. How old will Manick be when he is twice as old as Rahul ?

Options:
  1. 14 years

  2. 18 years
  3. 16 years

  4. 20 years

  5. Answer:

    16 years

    Solution:

    Manick's present age = 12 years, Rahul's present age = 4 years.

    Let Manick be twice as old as Rahul after x years from now.

    Then, 12 + x = 2 (4 + x)  12 + x = 8 + 2x  x = 4.

    Hence, Manick's required age = 12 + x = 16 years.


Question: 12 -

The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?

Options:
  1. None of these

  2. 61

  3. 15

  4. 29

  5. Answer:

    29

    Solution:

    Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 - 1 = 29.


Question: 13 -

In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is

Options:
  1. 26 m

  2. 20 m

  3. 24 m

  4. 22 m

  5. Answer:

    24 m

    Solution:

    Each row contains 12 plants.

    There are 11 gapes between the two corner trees (11 x 2) metres and 1 metre on each side is left.

    Therefore Length = (22 + 2) m = 24 m.


Question: 14 -

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

Options:
  1. 120 rolls

  2. 32 rolls

  3. 54 rolls

  4. 108 rolls

  5. Answer:

    120 rolls

    Solution:

    Number of cuts made to cut a roll into 10 pieces = 9.

    Therefore Required number of rolls = (45 x 24)/9 = 120.


Question: 15 -

A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?

Options:
  1. 2

  2. 6

  3. 12

  4. 3

  5. Answer:

    6

    Solution:

    Since B and D are twins, so B = D.

    Now, A = B + 3 and A = C - 3.

    Thus, B + 3 = C - 3  D + 3 = C-3  C - D = 6.