Quant Test for IBPS Clerk 2018 Prelim Exam Set – 28

Banya

Directions(1-5):Find the missing term of the following series.

  1. 4,2,2,4,20,?
    152
    160
    145
    162
    170
    Option E
    4*1-2 = 2
    2*3-4 = 2
    2*5-6 = 4
    4*7-8 = 20
    20*9-10= 170

     

  2. 200,50,400,100,800,?
    500
    200
    600
    400
    300
    Option B
    200/4 = 50
    50*8 =400
    200/4 =100
    100*8 =800
    800/4 =200

     

  3. 85,68,102,51,?,34
    109
    110
    119
    112
    111
    Option C
    85 – 17*1 = 68
    68 – 17*2 = 102
    102 – 17*3 = 51
    51 – 17*4 = 119
    119 – 17*5 = 34

     

  4. 76,77,85,94,158,?
    170
    183
    165
    184
    177
    Option B
    +1^3
    +2^3
    +3^3
    +4^3
    +5^3
    ? = 183

     

  5. 3,6,15,28,66,?
    91
    88
    95
    80
    84
    Option A
    (2^2+2)/2 = 3
    (3^2+3)/2= 6
    (5^2+5)/2 = 15
    (7^2+7)/2 = 28
    (11^2+11)/2 = 66
    (13^2+13)/2 = 91

     

  6. The overall time taken by a man to cover 36 km downstream and 18 km upstream in 5 hours, while the man takes the same time to cover 54 km downstream and 12 km upstream. Calculate the speed of the stream.
    4
    5
    3
    6
    8
    Option D
    36/u + 18/v = 5 —- (1)
    54/u + 12/v = 5 —- (2)
    On solving (1) and (2) we get
    Speed of the stream = (18-6)/2 = 6 km/hr.

     

  7. A shopkeeper sells 3 pens at the cost of 4 pens. If the cost price of each pen is Rs. 6, find the profit% gained by the shopkeeper on each pen.
    20%
    25%
    15%
    33.33%
    30%
    Option D
    CP of 4 pens = 6*4 = Rs. 24
    SP of 3 pens = Rs. 24
    SP of 1 pen = 24/3 = Rs. 8
    Profit% = (8-6)/6*100 = 33.33%

     

  8. The ratio of milk to water in the mixture of 35 litres is 5:2 resp. If 14 litres of mixture is removed and 9 litres of milk is added to the mixture then find the ratio of milk to water in the mixture?
    4:7
    4:1
    11:6
    9:5
    7:3
    Option B
    Quantity of milk in the mixture = 5/7*35 = 25 L
    Quantity of water in the mixture = 35 – 25 = 10 L
    After 14 L of mixtures is removed.
    Quantity of milk in the mixture = 25 – 5/7*14 = 15 L
    Quantity of water in the mixture = 10 – 2/7*14 = 6 L
    Total quantity of milk in the mixture after addition of 9 L
    of mixture = 15+ 9 = 24 L
    Ratio of milk and water = 24:6 =4:1

     

  9. What is the cost of painting the entire surface area of a solid hemisphere dome of radius 14 m at the rate of Rs. 12 per metre square?
    Rs. 22110
    Rs. 20550
    Rs. 22176
    Rs. 21025
    Rs. 22000
    Option C
    TSA = 2*22/7*14*14 = 1848 m^2
    Total cost of painting = 1848 * 12 = Rs. 22176

     

  10. The number of ways of selecting 1 ball from a bag containing x number of distinct balls is 5 less than the number of ways of selecting 2 balls from the same bag. Find the value of x.
    5
    4
    7
    6
    8
    Option A
    Let the number of balls in the bag be x.
    xC1 + 5 = xC2
    => x = 5

     


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