Quantitative Aptitude Quiz for IBPS | SBI – Set 214

Study the following pie-chart and the table and answer the questions based on them.

Proportion of Population of Seven Villages in 1997

1)If the population of village R in 1997 is 32000, then what will be the population of village Y below poverty line in that year?
A)14100
B)15600
C)16500
D)17000
E)None of these

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Answer B)15600

2)The ratio of population of village T below poverty line to that of village Z below poverty line in 1997 is?
A)11 : 23
B)13 : 11
C)23 : 11
D)11 : 13
E)None of these

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Answer C) 23: 11
Let X be the total population of all the 7 villages.
Then, population of village T below poverty line = 46% of (21% of X)
population of village Z below poverty line = 42% of (11% of X)
required ration = 46%of (21% of X)/42% of (11%of x) =23/11

3)Find the population of village S if the population of village X below poverty line in 1997 is 12160.
A)18500
B)20500
C)22000
D)26000
E)25000

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Answer C)22000

4)If in 1998, the population of villages Y and V increase by 10% each and the percentage of population below poverty line remains unchanged for all the villages, then find the population of village V below poverty line in 1998, given that the population of village Y in 1997 was 30000.
A)11250
B)12760
C)13140
D)13780
E)14560
Answer B)12760[/su_spoiler]

Directions(5-9):The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.
Ratio of Value of Imports to Exports by a Company over the Years.

5)If the imports in 1998 were Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was?
A)Rs. 250 crores
B)Rs. 300 crores
C)Rs. 357 crores
D)Rs. 420 crores
E)None of these

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Answer D)Rs. 420 crores
The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.
Let the exports in the year 1998 = Rs. x crores.
Then, the exports in the year 1999 = Rs. (500 – x) crores.
1.25 = 250/x è x = 250 /1.25 = 200 ( Using ratio for 1998
Thus, the exports in the year 1999 = Rs. (500 – 200) crores = Rs. 300 crores.
Let the imports in the year 1999 = Rs. y crores.
Then, 1.40 = y / 300 è y = ( 300 * 1.40 ) = 420
Imports in the year 1999 = Rs. 420 crores.

6)The imports were minimum proportionate to the exports of the company in the year ?
A)1995
B)1996
C)1997
D)2000
E)None of these

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Answer C)1997
The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.
Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

7)What was the percentage increase in imports from 1997 to 1998?
A)72
B)56
C)28
D)Data inadequate
E)None of these

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Answer D)Data inadequate

8)If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was?
A)Rs. 370 crores
B)Rs. 320 crores
C)Rs. 280 crores
D)Rs. 275 crores
E)None of these

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Answer B)Rs. 320 crores
Ratio of imports to exports in the year 1996 = 0.85.
Let the exports in 1996 = Rs. x crores.
Then, 272/x = 0.85 è x = 272 / 0.85= 320
Exports in 1996 = Rs. 320 crores.

9)In how many of the given years were the exports more than the imports?
A)1
B)2
C)3
D)4
E)None of these

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Answer D)4