Numerical Ability


  1. The next term in the series 81, 54, 36, 24, ...is
    1. 15
    2. 24
    3. 16
    4. 12

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    81 – 54 = 27; 27 ×
    2
    = 18
    3

    54 – 36 = 18; 18 ×
    2
    = 12
    3

    36 – 24 = 12; 12 ×
    2
    = 8
    3

    ∴ 24 – 8 = 16

    Correct Option: C

    81 – 54 = 27; 27 ×
    2
    = 18
    3

    54 – 36 = 18; 18 ×
    2
    = 12
    3

    36 – 24 = 12; 12 ×
    2
    = 8
    3

    ∴ 24 – 8 = 16


  1. It takes 30 minutes to empty a half-full tank by draining it at a constant rate, It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes?
    1. 4 times the draining rate
    2. 3 times the draining rate
    3. 2.5 times the draining rate
    4. 2 times the draining rate

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    Total volume = 60 S tank
    (s1 )(10) – (s)10 = 30s
    s1 (s) – s = 3s
    s1 = 4s
    s1 = 4 drawing rate

    Correct Option: A


    Total volume = 60 S tank
    (s1 )(10) – (s)10 = 30s
    s1 (s) – s = 3s
    s1 = 4s
    s1 = 4 drawing rate



  1. The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 500 thousand tonnes and the total revenues are 250 crore rupees. Which item among the following has generated the maximum revenue per kg?
    1. Item 2
    2. Item 3
    3. Item 6
    4. Item 5

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    Item: 2

    20
    × 250 × 107
    100
    20
    × 500 × 103
    100

    0.5 × 104 = 5 × 103 = Item 2
    Item : 3
    23 × 250 × 107
    19 × 500 × 103

    1.2 = Item 3
    Item : 6
    19
    = 1.18 = Item 6
    16

    Item : 5
    20
    =
    5
    = 1.6 ⇒ 1.6 = Item 5
    123

    Correct Option: D

    Item: 2

    20
    × 250 × 107
    100
    20
    × 500 × 103
    100

    0.5 × 104 = 5 × 103 = Item 2
    Item : 3
    23 × 250 × 107
    19 × 500 × 103

    1.2 = Item 3
    Item : 6
    19
    = 1.18 = Item 6
    16

    Item : 5
    20
    =
    5
    = 1.6 ⇒ 1.6 = Item 5
    123


  1. The sum of eight consecutive odd numbers is 656. The average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number?
    1. 155
    2. 168
    3. 163
    4. 152

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    Eight consecutive odd number = 656
    a – 6, a – 1, a – 2, a, a + 2, a + 4, a + 6 a + 8 = 656
    a = 81 ................(1)
    Smallest m = 75
    Average consecutive even numbers

    a - 2 + a + a + 2 + a + 4
    = 87
    4

    ⇒ a = 86
    Second largest number = 88
    1 + 2 = 163

    Correct Option: C

    Eight consecutive odd number = 656
    a – 6, a – 1, a – 2, a, a + 2, a + 4, a + 6 a + 8 = 656
    a = 81 ................(1)
    Smallest m = 75
    Average consecutive even numbers

    a - 2 + a + a + 2 + a + 4
    = 87
    4

    ⇒ a = 86
    Second largest number = 88
    1 + 2 = 163



  1. Fill in the missing number in the series.
    2    3    6    15 _?_ 157.5    630
    1. 2nd number
      is in increasing order as shown above
      1st number
    2. 2nd number
      is in decreasing order as shown above
      1st number
    3. 1st number
      is in increasing order as shown above
      2nd number
    4. None of these

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    2nd number
    is in increasing order as shown above
    1st number

    Correct Option: A


    2nd number
    is in increasing order as shown above
    1st number