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Directions (1 – 5): Study the following information carefully and answer the given questions. The data is related to the number of travelers (National + International) handled by the travelers company in 4 months in a certain year.
There are national and international travelers. The total number of national travelers in June is 3/5th of total number of travelers in July. Total number of travelers in July is 1250. The ratio of travelers in June to that of July is 4: 5. The total number of national travelers in June is 100 less than the total number of travelers in September. The number of international travelers in July is 36 % of total number of travelers in July. The number of international travelers in August is half of the national travelers in July. The number of travelers in August is 225 % of total number of international travelers in August. The ratio of total number of national travelers to that of international travelers in September is 11: 6.
1) If in the month of October, the total number of travelers is 60 % more than the total number of travelers in August and the ratio of national travelers to international travelers in October is 7 : 3, then find the difference between the total number of national travelers to that of international travelers in October?
a) 524
b) 550
c) 576
d) 592
e) None of these
2) Out of the total number of national travelers (male and female) in June and August together, the ratio of male national travelers to that of female national travelers is 16: 9. Find the total number of female national travelers in June and August together?
a) 450
b) 480
c) 510
d) 530
e) None of these
3) The total number of international travelers in July is approximately what percentage more/less than the total number of national travelers in August?
a) 20 % more
b) 10 % more
c) 20 % less
d) 10 % less
e) 15 % more
4) If the average number of national travelers in May, June, July, August and September together is 610, then find the ratio between the total number of national travelers in May to that of total number of international travelers in September?
a) 4: 3
b) 3: 2
c) 5: 6
d) 7: 5
e) None of these
5) Total number of international travelers in June is what percentage of total number of international travelers in August?
a) 62.5 %
b) 58 %
c) 71.5 %
d) 75 %
e) None of these
Directions (6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the production and sales (In tonnes) of company A in different years.
The following table shows the ratio of production of Company A to that of B and the ratio of sales of Company A to that of B.
6) The total production of Company A and B together in 2011 and 2013 is approximately what percentage more/less than the total production of company A and B together in 2012 and 2015?
a) 5 % more
b) 15 % less
c) 5 % less
d) 15 % more
e) 20 % less
7) Find the difference between the total sales of Company A in 2012, 2014 and 2016 together to that of total sales of company B in 2011, 2013 and 2015 together?
a) 147 tonnes
b) 141 tonnes
c) 153 tonnes
d) 162 tonnes
e) None of these
8) Find the average sales of company A in all the given years together except the year 2015?
a) 712 tonnes
b) 694 tonnes
c) 706 tonnes
d) 715 tonnes
e) None of these
9) Find the ratio between the total production of company A in 2012, 2014 and 2016 together to that of the total production of company B in the same years?
a) 105 : 109
b) 75 : 82
c) 15 : 17
d) 23 : 26
e) None of these
10) The total sales of company A in 2011 and 2013 together is approximately what percentage of total sales of company B in 2012 and 2014 together?
a) 90 %
b) 105 %
c) 75 %
d) 125 %
e) 140 %
Answers :
Directions (1 – 5):
Total number of travelers in July = 1250
The total number of national travelers in June = (3/5)*total number of travelers in July
= > (3/5)*1250 = 750
The ratio of travelers in June to that of July = 4: 5 (4x, 5x)
5x = 1250
X = 250
Total number of travelers in June = 4x = 1000
The total number of national travelers in June = 100 less than the total number of travelers in September
= > 750 = Total travelers in September – 100
Total number of travelers in September = 750 + 100 = 850
The number of international travelers in July = (36/100)*total number of travelers in July.
The number of international travelers in July = (36/100)*1250 = 450
The number of national travelers in July = 1250 – 450 = 800
The number of international travelers in August = (1/2)*National travelers in July
= > (1/2)*800 = 400
The number of travelers in August = (225/100)*total number of international travelers in August
= > (225/100)*400 = 900
The number of national travelers in August = 900 – 400 = 500
The ratio of total number of national travelers to that of international travelers in September = 11 : 6 (11x, 6x)
17x = 850
X = 50
The total number of national travelers in September = 11x = 550
The total number of international travelers in September = 6x = 300
Direction (1-5) :
1). Answer: c)
The total number of travelers in October = (160/100)*the total number of travelers in August
= > (160/100)*900 = 1440
The ratio of national travelers to international travelers in October
= > 7 : 3 (7x, 3x)
10x = 1440
X = 144
The difference between the total number of national travelers to that of international travelers in October
= > 4x = 144*4 = 576
2). Answer: a)
The total number of national travelers (male and female) in June and August together
= > 750 + 500 = 1250
The ratio of male national travelers to that of female national travelers
= > 16 : 9 (16x, 9x)
25x = 1250
X = 50
The total number of female national travelers in June and August together
= > 9x = 9*50 = 450
3). Answer: d)
The total number of international travelers in July = 450
The total number of national travelers in August = 500
Required % = [(500 – 450)/500]*100 = 10 % less
4). Answer: b)
The average number of national travelers in May, June, July, August and September together = 610
The total number of national travelers in May, June, July, August and September together = 610*5 = 3050
The total number of national travelers in May
= > 3050 – (750 + 800 + 500 + 550) = 450
The total number of international travelers in September = 300
Required ratio = 450: 300 = 3: 2
5). Answer: a)
Total number of international travelers in June = 250
Total number of international travelers in August = 400
Required % = (250/400)*100 = 62.5 %
Direction (6-10) :
6). Answer: d)
The total production of Company A and B together in 2011 and 2013
= > 650 + 650*(15/13) + 950 + 950*(17/19)
= > 650 + 750 + 950 + 850 = 3200 tonnes
The total production of company A and B together in 2012 and 2015
= > 800 + 800*(17/20) + 600 + 600*(6/5)
= > 800 + 680 + 600 + 720 = 2800 tonnes
Required % = [(3200 – 2800)/2800]*100 = 14.28 % = 15 % more
7). Answer: b)
The total sales of Company A in 2012, 2014 and 2016 together
= > 780 + 500 + 730 = 2010 tonnes
The total sales of company B in 2011, 2013 and 2015 together
= > 600*(14/15) + 920*(21/20) + 500*(5/4)
= > 560 + 966 + 625 = 2151 tonnes
Required difference = 2151 – 2010 = 141 tonnes
8). Answer: c)
The average sales of company A in all the given years together
= > [600 + 780 + 920 + 500 + 730]/65
= > 3530/5 = 706 tonnes
9). Answer: a)
The total production of company A in 2012, 2014 and 2016 together
= > 800 + 550 + 750 = 2100 tonnes
The total production of company B in 2012, 2014 and 2016 together
= > 800*(17/20) + 550*(14/11) + 750*(16/15)
= > 680 + 700 + 800 = 2180 tonnes
Required ratio = 2100 : 2180 = 105 : 109
10). Answer: d)
The total sales of company A in 2011 and 2013 together
= > 600 + 920 = 1520 tonnes
The total sales of company B in 2012 and 2014 together
= > 780*(11/13) + 500*(23/20)
= > 660 + 575 = 1235 tonnes
Required % = (1520/1235)*100 = 123 % = 125 %
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| Current Affairs Quiz | 9.00 AM |
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This post was last modified on November 20, 2021 8:47 am