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Refer the above for the Questions 681 to 680
681. Total number of cars of models P, Q and T manufactured in 2000 is  ?




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Correct Ans:2,10,000
Explanation:
In 2000 : Total number of cars produced = 3,50,000.
P = (30 - 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000.
Q = (45 - 30)% of 3,50,000 = 15% of 3,50,000 = 52,500.
R = (65 - 45)% of 3,50,000 = 20% of 3,50,000 = 70,000.
S = (75 - 65)% of 3,50,000 = 10% of 3,50,000 = 35,000.
T = (90 - 75)% of 3,50,000 = 15% of 3,50,000 = 52,500.
U = (100 - 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.


In 2001 : Total number of cars produced = 4,40,000.

P = (40 - 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000.
Q = (60 - 40)% of 4,40,000 = 20% of 4,40,000 = 88,000.
R = (75 - 60)% of 4,40,000 = 15% of 4,40,000 = 66,000.
S = (85 - 75)% of 4,40,000 = 10% of 4,40,000 = 44,000.
T = (95 - 85)% of 4,40,000 = 10% of 4,40,000 = 44,000.
U = (100 - 95)% of 4,40,000 = 5% of 4,40,000 = 22,000.

Total number of cars of models P, Q and T manufactured in 2000
= (105000 + 52500 + 52500) = 2,10,000
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Refer the above for the Questions 682 to 681
682. What was the difference in the number of Q type cars produced in 2000 and that produced in 2001  ?




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Correct Ans:35,500
Explanation:
Total number of Q type cars produced in 2001

=(60 - 40)% of 4,40,000 = 88,000.

Total number of Q type cars produced in 2000

=(45 - 30)% of 3,50,000 = 52,500.

Therefore Required difference = (88000 - 52500) = 35,500
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Refer the above for the Questions 683 to 682
683. For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Y  ?




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Correct Ans:1997
Explanation:
The percentage rise/fall in production from the previous year for flavour Y during various years are:

In 1996 = [ (60 - 55)/55 x 100 ] % = 9.09% (increase)

In 1997 = [ (60 - 50)/60 x 100 ] % = 16.67% (decrease)

In 1998 = [ (55 - 50)/55 x 100 ] % = 10% (increase)

In 1999 = [ (55 - 50/55) x 100 ] % = 9.09% (decrease)

In 2000 = [ (55 - 50)/50 x 100 ] % = 10% (increase)

Therefore Maximum change is decrease of 16.67% during 1997.
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Refer the above for the Questions 684 to 683
684. What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998  ?




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Correct Ans:33%
Explanation:
Percentage decline in the production of flavour Z in 2000 as compared to the production in 1998

= (60 - 40) / 60 x 100 %
= ( 20/60) x 100 %
= 33.33%
= 33%.(approx)
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Refer the above for the Questions 685 to 684
685. What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000  ?




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Correct Ans:5,00,000 bottles
Explanation:
Average production of flavour X in 1995, 1996 and 1997
= (50 + 40 + 55) / 3
= 145 / 3 lakh bottles.

Average production of flavour Y in 1998, 1999 and 2000
= (55 + 50 + 55) / 3
= 160/3 lakh bottles.

Difference = (160 - 145) / 3 = 15 / 3
= 5 lakh bottles
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Refer the above for the Questions 686 to 685
686. For which flavour was the average annual production maximum in the given period  ?




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Correct Ans:Y only
Explanation:
Average annual productions over the given period for various flavours are:

For Flavour X = (50 + 40 + 55 + 45 + 60 + 50)/6 = 50 lakh bottles.

For Flavour Y = (55 + 60 + 50 + 55 + 50 + 55)/6 = 54.17 lakh bottles.

For Flavour Z = (45 + 50 + 60 + 60 + 45 + 40)/6 = 50 lakh bottles.

Therefore Maximum average production is for Flavour Y.
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Refer the above for the Questions 687 to 686
687. The total production of flavour Z in 1997 and 1998 is what percentage of the total production of flavour X in 1995 and 1996  ?




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Correct Ans:133.33%
Explanation:
Required Percentage = ( 60 + 60 ) / ( 50 + 40 ) x 100
= ( 120 / 90 ) x 100
= 133.3%
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Refer the above for the Questions 688 to 687
688. Total sales of branches B1, B3 and B5 together for both the years ( in thousand numbers ) is?




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Correct Ans:560
Explanation:
Total sales of branches B1, B3 and B5 for both the years (in thousand numbers)
= ( 80 + 105 ) + ( 95 + 110 ) + ( 75 + 95 )
= 560.
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Refer the above for the Questions 689 to 688
689. What is the average sales of all the branches (in thousand numbers) for the year 2000  ?




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Correct Ans:80
Explanation:
Average sales of all the six branches (in thousand numbers) for the year 2000
= ( 1 / 6 ) ( 80+75+95+85+75+70 )
= 480 / 6
= 80
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Refer the above for the Questions 690 to 689
690. What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000  ?




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Correct Ans:87.50%
Explanation:
Average sales (in thousand number) of branches B1, B3 and B6 in 2000
= (1/3) x (80 + 95 + 70) = 245 / 3

Average sales (in thousand number) of branches B1, B2 and B3 in 2001
= (1/3) x (105 + 65 + 110) = 280 / 3

Therefore Required percentage = [ ( 245 / 3 ) /( 280 / 3 ) x 100 ] %
= ( 245 / 280 x 100 ) %
= 87.5%
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Refer the above for the Questions 691 to 690
691. Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for both the years?




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Correct Ans:73.17%
Explanation:
Required Percentage = ( 70 + 80 ) / ( 95 + 110 ) x 100
= ( 150 / 205 ) x 100
= 73.17%
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Refer the above for the Questions 692 to 691
692. What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years ?




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Correct Ans:7:9
Explanation:
Required Ratio = ( 75 + 65 ) / ( 85 + 95 )
= 7 / 9
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Refer the above for the Questions 693 to 692
693. For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Y?




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Correct Ans:1997
Explanation:
Solution is :
The percentage rise/fall in production from the previous year for flavour Y during various years are:
  • In 1996 = [ ( 60 - 55 ) / 55 x 100 ] % = 9.09 % (increase)
  • In 1997 = [ ( 60 - 50 ) / 60 x 100 ] % = 16.67 % (decrease)
  • In 1998 = [ ( 55 - 50 ) / 50 x 100 ] % = 10 % (increase)
  • In 1999 = [ ( 55 - 50 ) / 55 x 100 ] % = 9.09 % (decrease)
  • In 2000 = [ ( 55 - 50 ) / 50 x 100 ] % = 10 % (increase)
Therefore Maximum change is decrease of 16.67 % during 1997
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Refer the above for the Questions 694 to 693
694. What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998?




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Correct Ans:33%
Explanation:
Solution is :
Production of flavour Z in 2000 = 40 lakh bottles
Production of flavour Z in 1998 = 60 lakh bottles

Required Percentage decline = [ (Difference between production of flavour Z in 2000 and 1998) / (Production of flavour Z in 1998) ] * 100 %
= [ ( 60 - 40 ) / 60 ] * 100 %
= ( 20 / 60 ) * 100 %
= 33.33 %
~= 33 % (approx)
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Refer the above for the Questions 695 to 694
695. What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?




SHOW ANSWER
Correct Ans:5,00,000 bottles
Explanation:
Solution is :
Average production of flavour X in 1995, 1996 and 1997
=> ( 50 + 40 + 55 ) / 3 = 145 / 3 lakh bottles

Average production of flavour Y in 1998, 1999 and 2000
=> ( 55 + 50 + 55 ) / 3 = 160 / 3 lakh bottles

Difference = ( 160 - 145 ) / 3 = 15 / 3 = 5 lakh bottles
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Refer the above for the Questions 696 to 695
696. For which flavour was the average annual production maximum in the given period?




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Correct Ans:Y only
Explanation:
Solution is :
Average annual productions over the given period for various flavours are:
  • For Flavour X = (50 + 40 + 55 + 45 + 60 + 50) / 6 = 50 lakh bottles
  • For Flavour Y = (55 + 60 + 50 + 55 + 50 + 55) / 6 = 54.17 lakh bottles
  • For Flavour Z = (45 + 50 + 60 + 60 + 45 + 40) / 6 = 50 lakh bottles
Therefore Maximum average production is for Flavour Y
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Refer the above for the Questions 697 to 696
697. The total production of flavour Z in 1997 and 1998 is what percentage of the total production of flavour X in 1995 and 1996?




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Correct Ans:133.33%
Explanation:
Solution is :
Total Production of flavour Z in 1997 and 1998 = 60 lakh bottles + 60 lakh bottles
Total Production of flavour X in 1995 and 1996 = 50 lakh bottles + 40 lakh bottles

Requied Percentage = [ (Total production of flavour Z in 1997 and 1998) / (Total production of flavour X in 1995 and 1996) ] * 100 %
= ( 60 + 60 ) / ( 50 + 40 ) * 100 %
= ( 120 / 90 ) * 100
= 133.3%
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Refer the above for the Questions 698 to 697
698. For which model the percentage rise/fall in production from 2000 to 2001 was minimum?




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Correct Ans:R
Explanation:
Solution is :
The percentage change (rise/fall) in production from 2000 to 2001 for various models is:

For P
= [ ( 40 % of 4,40,000 ) - ( 32 % of 3,50,000 ) / ( 30 % of 3,50,000 ) ] *100 %
= [ ( (40 / 100) * 4,44,000 ) - ( (30 / 100) * 3,50,000 ) / ( (30 / 100) * 3,50,000 ) ] *100%
= [ ( (176000 - 105000) / 105000 ) ] * 100 %
= ( 71000 / 105000 ) * 100 %
= 67.62%rise

For Q = [ ( 88000 - 52500 ) / 52500 ] x 100 % = 67.62%, rise
For R = [ ( 70000 - 66000 ) / 70000 ] x 100 % = 5.71%, fall
For S = [ ( 44000 - 35000 ) / 35000 ] x 100 ] % = 25.71%, rise
For T = [ ( 52500 - 44000 ) / 52500 x 100 ] % = 16.19%, fall
For U = [ ( 35000 - 22000 ) / 35000 x 100 ] % = 37.14%, fall
Therefore Minimum percentage rise / fall in production is the case of model R.
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Refer the above for the Questions 699 to 698
699. If 85% of the S type cars produced in each year were sold by the company, how many S type cars remain unsold?




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Correct Ans:11,850
Explanation:
Solution is :
If 85 % of Stype cars were sold by company , the percentage of cars remain unsold
= ( 100 - 85 ) %
= 15 %

Number of S type cars which are producedin 2000
= 10 % of 35,000
= 35000

Number of S type cars which are producedin 2001
= 10 % of 44,000
= 44000
Therefore Total number of S type cars = 15 % of ( 35,000 + 44,000 )
= 15% of 79,000
= ( 15 / 100 ) x 79,000
= 11,850.
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Refer the above for the Questions 700 to 699
700. If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been?




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Correct Ans:1,32,000
Explanation:
Solution is :
If the percentage production of P type cars in 2001 = Percentage production of P type cars in 2000= 30%. then,
number of P type cars produced in 2001 = 30 % of 4,40,000
= ( 30 / 100 ) x 4,40,000
= 30 x 4400
= 1,32,000.
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