Quant Test for NIACL AO Prelims Exam Set – 14

Banya

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

  1. 112,134,164,?,240,282
    200
    168
    150
    135
    194
    Option A
    +11*2
    +10*3
    +9*4
    +8*5
    +7*6
    ? = 200

     

  2. 25,38,45,50,54,?
    44.4
    35.8
    57.4
    51.1
    41.5
    Option C
    +13/1
    +14/2
    +15/3
    +16/4
    +17/5
    ? = 57.4

     

  3. 12,25,42,?,88,117
    44
    50
    52
    63
    48
    Option D
    4*(1+2)
    5*(2+3)
    6*(3+4)
    7*(4+5)
    8*(5+6)
    9*(6+7)
    ? = 63

     

  4. 1,12,63,208,525,?
    1551
    1125
    1010
    1116
    1000
    Option D
    1^4 -1^3 + 1^2
    2^4 -2^3 + 2^2
    3^4 -3^3 + 3^2
    4^4 -4^3 + 4^2
    5^4 -5^3 + 5^2
    6^4 -6^3 + 6^2
    ? = 1116

     

  5. 39,41,47,67,?,219
    100
    95
    99
    90
    109
    Option E
    +2^2-2
    +3^2-3
    +5^2-5
    +7^2-7
    +11^2-11
    ? = 109

     

  6. Length and breadth of a rectangular is 44 m and 38 m resp. A path is made around the park from outside of width 3.5 m and paved with marbles. Find the cost of paving the path, if it costs Rs.2 per cm^2.
    Rs. 1115
    Rs. 1246
    Rs. 1335
    Rs. 1150
    Rs. 1662
    Option B
    Area of paved park with marble = (44+3.5*2)*(38+3.5*2) – 44*38
    = 623 cm^2
    Required cost = 623*2 = Rs. 1246

     

  7. A and B started a business in partnership with investment of Rs.2400 and Rs.3200 resp. After one year , A increased his investment by 15% while B decreased his investment by 20%. At the end of 2 years, they earned a profit of Rs.5460 find the profit of A.
    Rs.2440
    Rs.2120
    Rs.2520
    Rs.2580
    Rs.2200
    Option D
    Total investment of A = 2400+1.15*2400 = Rs.5160
    Total investment of B = 3200+0.8*3200 = Rs.5760
    Ratio of investment of A and B = 43:48
    Profit of A = 43/91*5460 = Rs.2580

     

  8. An article was sold at 20% loss. If the marked price of the article was Rs.800 and discount given by the shopkeeper was 36% find the cost price of the article.
    Rs.615
    Rs.640
    Rs.515
    Rs.555
    Rs.600
    Option B
    SP of the article = 64% of 800 = 512
    CP of the article = 512/80*100 = Rs.640

     

  9. A boat can cover 42 km upstream and 126 km downstream in 8 hours. Speed of the stream is how much percent less than the speed of the boat in still water if the boat can cover 60 km upstream and 168 km downstream in 11 hours?
    20%
    30%
    40%
    50%
    60%
    Option E
    42/x+126/y = 8 —–(1)
    60/x+168/y = 11 —-(2)
    On solving (1) and (2), we get 12 kmhr and 28kmhr upstream and downstream resp.
    Speed of the boat in still water = (12+28)/2 = 20 km/hr.
    Speed of the stream = (28-12)/2 = 8 km/hr.
    Required% = (20-8)/20*100 = 60%

     

  10. A bag contains 16 red, 23 blue and 26 green balls. Two balls are randomly drawn from the bag, what is the probability that a red ball and a green ball are drawn from the bag?
    1/4
    1/9
    1/5
    1/7
    1/3
    Option C
    Required probability that a red ball and a green ball are drawn
    = (16C1*26C1)/65C2 = 1/5

     


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