text: # LIC AAO/SBI PO Prelims Quantitative Aptitude Questions 2019 (Day-21)
  
  Dear Aspirants, Our IBPS Guide team is providing new series of Quantitative Aptitude Questions for LIC AAO/SBI PO 2019 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
  
  [WpProQuiz 5880]
  
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  Â Direction (1 – 5): Read the following information carefully and answers the following questions. The table below shows number of pens produced and sold by three different companies and the given years:
  
   Year CompanyÂ  M Company N CompanyÂ  O Â Production Â Sales Production Sales Production Sales 2006 450 60% 20% 240 2007 600 43% 500 15% 2008 20% 40% 180 2009 480 15% 450 40% 2010 680 30% 600
  
  1) If the total number of pens sold by company M and N in the year 2007 is 400 and the number of pens sold by company N in 2008 is 200 more than pens sold by the same company in 2007 then find the number of pens produced by company N in 2008?
  
  a) 200
  
  b) 400
  
  c) 855
  
  d) 305
  
  e) 350
  
  2) If the ratio of the number of pens sold by company M in 2009 to that in 2010 is 8:9 then find the approximate percentage of pens were sold by company M in 2010?
  
  a) 18
  
  b) 12
  
  c) 25
  
  d) 30
  
  e) 35
  
  3) If company O produced â€˜xâ€™ number of pens in 2007 and â€˜x+ 200â€™ number of pens in 2009 and the total number of pens sold by company O in these years is 630 thenÂ  find how many pens were sold in 2009?
  
  a) 200
  
  b) 250
  
  c) 480
  
  d) 300
  
  e) 350
  
  4) Company N produced 900 pens in 2010 and the number of pens sold by the same company in 2007 is 10 % more than number of pens sold by the company in 2010 then find number of pens produced by the same company in 2008 if the number of pens sold by company N in 2007 and 2008 is in the ratio of 9:8?
  
  a) 200
  
  b) 400
  
  c) 100
  
  d) 660
  
  e) 350
  
  5) If the average number of pens sold by company M in 2006, 2007 and 2008 is 200 then find the production of company M in 2008 is what percentage of the production of company N in 2009?
  
  a) 100 %
  
  b) 80 %
  
  c) 75 %
  
  d) 65 %
  
  e) 55 %
  
  6) A box contains 4 red balls, 3 white balls, 6 black balls. If two balls are drawn out random, then find the probability that both balls are either red or black balls
  
  a) 7/26
  
  b) 11/16
  
  c) 3/56
  
  d) 13/16
  
  e) None of these
  
  7) Incomes of Rajiv and Mohan are in the ratio 5:6 and their expenditures are in the ratio 235:278. If Rajiv saves Rs.1000 and Mohan saves Rs.2000, then find the income of Rajiv?
  
  a) Rs. 52600
  
  b) Rs. 42000
  
  c) Rs. 48000
  
  d) Rs. 57400
  
  e) None of these
  
  8) P, Q and R can fill the tank in 15, 18 and 20 min respectively. All three began to fill the tank together but P and Q left 4 and 5 min respectively before filling the tank. In how much time does R takes to fill the tank?
  
  a) 8 Â (30/31) min
  
  b) 7Â  (26/33) min
  
  c) 9Â  (30/33) min
  
  d) 6Â  (26/31) min
  
  e) None of these
  
  9) The sum of the present ages of the four members of a family is 180 years. 5 years ago the ages of the four members A, B, C and D were in the ratio of 3:5:4:8. After how many years would A be as old as the present age of D?
  
  a) 30 years
  
  b) 35 years
  
  c) 37 years
  
  d) 40 years
  
  e) None of these
  
  10) A boat can cover 9.6 km upstream in 24 minutes. If the speed of the current is 1/4th of the boat in still water, then how much distance (in km) can the boat cover downstream in 36 minutes?
  
  a) 36 km
  
  b) 24 km
  
  c) 48 km
  
  d) 32 km
  
  e) None of these
  
  Directions (1-5):
  
  Number of pen sold by company N in 2007
  
  = 400 â€“ (43*600/100)
  
  = 400 â€“ 258
  
  = 142
  
  Number of pen sold company N in 2008= 142+200= 342
  
  Number of pen produced by company N in 2008
  
  = 342*100/40
  
  = 855 pens
  
  Number of pens sold by company M in 2009
  
  = 480*15/100= 72
  
  Number of pens sold by company M in 2010
  
  = 72*9/8= 81
  
  Required percentage= 81*100/680= 12%
  
  Number of pens sold in 2007
  
  = x*15/100 + (x+200)*40/100= 630
  
  = 15x/100 + 40x/100 + 80= 630
  
  = (15x+ 40x)/100= 630- 80
  
  = 55x= 550*100
  
  = x= 1000 pens
  
  So,
  
  Number of pens sold in 2009
  
  = (1000+200)*40/100
  
  = 480 pens
  
  Number of pens sold by company N in 2010
  
  = 900*30/100
  
  = 270 pens
  
  Number of pens sold by company N in 2007
  
  = 270*110/100
  
  = 297 pens
  
  Number of pens sold by company N in 2008
  
  = 297*8/9
  
  = 264 pens
  
  Number of pens produced by company N in 2008
  
  = 264*100/40
  
  = 660 pens
  
  Total pens produced = 200*3= 600
  
  Number of pens sold M in 2008
  
  = 600- 60% of 450 â€“ 43% of 600
  
  = 600 â€“ 270 – 258
  
  = 72
  
  Pens produced in 2008
  
  = 72*100/20
  
  = 360
  
  Required percentage
  
  = 360*100/450
  
  = 80%
  
  P(E) = n(E)/n(S)
  
  n(S) = 13C2
  
  n(E) = 4C2 or 6C2
  
  P(E) = 4C2 or 6C2 / 13C2
  
  P(E) = (6+15)/78
  
  P(E) = 7/26
  
  Let the income of Rajiv and Mohan are Rs.5x and Rs.6x respectively.
  
  According to the question,
  
  (5x â€“ 1000)/(6x â€“ 2000) = 235/278
  
  => 1390x â€“ 278000 = 1410x â€“ 470000
  
  => 192000 = 20x
  
  => x = 9600
  
  Income of Rajiv = 5x = 5 * 9600 = Rs. 48000
  
  (x-4)/ 15 + (x-5)/18 + x/20 =1
  
  (12x-48+10x-50+9x)/180 =1
  
  31x-98=180
  
  31x= 278
  
  X=278/31 = 8 (30/31) min
  
  Let five years ago, age of A, B, C and D were 3x, 5x, 4x and 8x respectively.
  
  According to the question
  
  3x + 5x + 4x + 8x + 5 * 4 = 180
  
  => 20x = 180 â€“ 20
  
  => 20x = 160
  
  => x = 160/20 = 8
  
  Present age of A = 3 * 8 + 5 = 29 years
  
  Present age of D = 8 * 8 + 5 = 69 years
  
  Required number of years = 69 â€“ 29 = 40 years
  
  Speed of upstream= (9.6 *60) / 24 = 24 km/hr
  
  The speed of the current is 1/4th of the boat in still water.
  
  = > Speed of current: Speed of still water = 1:4
  
  Speed of upstream= Speed of still water- speed of Current
  
  24= 3x =>x=8
  
  Speed of current = 8 km/hr
  
  Speed of boat in still water= 32 km/hr
  
  Speed of downstream= Speed of still water + speed of Current
  
  = > 32+8 = 40 km/hr
  
  Here speed= 40 km/hr, Time= 36 minutes
  
  Distance= 40 *(36/60) = 24 km
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