Data Interpretation For SBI PO - 2014

Directions: (1-5 ): The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000. Percentage of Candidates Qualified to Appeared in an Examination over the Years

1.    The difference between the percentages of candidates qualified to appear was maximum in which of the following pairs of years?A. 1994 and 1995 B. 1997 and 1998C. 1998 and 1999 D. 1999 and 2000E. None of these

2.    In which pair of years was the number of candidates qualified the same?A. 1995 and 1997 B. 1995 and 2000C. 1998 and 1999 D. Data inadequateE. None of these

3.     If the number of candidates qualified in 1998 was 21200, what was the number of candidates appeared in 1998?A. 32, 000 B. 28, 500C. 26, 500 D. 25, 000E. None of these

4.     If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was?A. 34, 700 B. 32, 100C. 31, 500

D. Data inadequateE. None of these

5.    The total number of candidates qualified in 1999 and 2000 together was 33500 and the number of candidates appeared in 1999 was 26500. What was the number of candidates in 2000?A. 24, 500 B. 22, 000C. 20, 500 D. 19, 000E. None of these

Directions: ( 6 – 10): The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes in a town. Distribution of students at graduate and post-graduate levels in seven institutes

6.    What is the total number of graduate and post-graduate level students is institute R?A. 8320 B. 7916C. 9116 D. 8099E. None of these

7.    What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?A. 14:19 B. 19:21C. 17:21 D. 19:14

E. None of these

8.    How many students of institutes of M and S are studying at graduate level?A. 7516 B. 8463C. 9127 D. 9404E. None of these

9.    What is the ratio between the number of students studying at post-graduate level from institutes S and the number of students studying at graduate level from institute Q?A. 13:19B. 21:13C. 13:8D. 19:13E. None of these

10.  Total number of students studying at post-graduate level from institutes N and P isA. 5601 B. 5944C. 6669 D. 8372E. None of theseANSWERS:

1.    Answer (B): The differences between the percentages of candidates qualified to appeared for the give pairs of years are:For 1994 and 1995 = 50 - 30 = 20.For 1998 and 1999 = 80 - 80 = 0.For 1994 and 1997 = 50 - 30 = 20.For 1997 and 1998 = 80 - 50 = 30.For 1999 and 2000 = 80 - 60 = 20.Thus, the maximum difference is between the years 1997 and 1998.

2.    Answer: (D)The graph gives the data for the percentage of candidates qualified to appeared and unless the absolute values of number of candidates qualified or candidates appeared is know we cannot compare the absolute values for any two years. Hence, the data is inadequate to solve this question.

3.    Answer: (C) The number of candidates appeared in 1998 be x.Then, 80% of x = 21200 è x = (21200 *100)/(80) = 26500( Required number)

4.    .Answer: (D)The total number of candidates qualified in 1996 and 1997 together, cannot be determined until we know at least, the number of candidates appeared in any one of

the two years 1996 or 1997 or the percentage of candidates qualified to appeared in 1996 and 1997 together. Hence, the data is inadequate.

5.     Answer: (C)The number of candidates qualified in 1999 = (80% of 26500) = 21200.Number of candidates qualified in 2000 = ( 33500 - 21200 ) = 12300.Let the number of candidates appeared in 2000 be x.Then, 60% of x = 12300x = ( 12300 x 100)/(60) = 20500.

6.    Answer  (D)Required number = (17% of 27300) + (14% of 24700)= 4641 + 3458= 8099

7.    Answer: (D)Required ratio =(21% of 24700)/ (14% of 27300)=(21 x 24700)/(14 x 27300) = 19/14

8.    Answer: (B)Students of institute M at graduate level= 17% of 27300 = 4641.Students of institute S at graduate level = 14% of 27300 = 3822.Total number of students at graduate in institutes M and S = (4641 + 3822)= 8463.

9.    Answer: (D)Required ratio = (21% of 24700)/ (13% of 27300)= 19/13

10.  Answer: (C)Required number = (15% of 24700) + (12% of 24700)= 3705 + 2964= 6669.

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Data Interpretation For SBI PO - 2014

 Directions: (1 – 5):  The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 to 1998-99. Answer the questions based on graph.

1.    The foreign exchange reserves in 1997-98 was how many times that in 1994-95(1) 1.5                    (2) 2(3) 3.5                    (4) 2.6(5) None of these

2.    What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94 ?(1) 80%                 (2) 90%(3) 100%               (4) 110%(5) None of these

3.    For which year, the percent increase of foreign exchange reserves over the previous year is the highest ?(1) 1994-95(2) 1995-96(3) 1998 – 99(4) 1992-93(5) None of these

4.    The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign exchange reserves over the period under review ?(1) 80%(2) 100%(3)  125%(4)  130%(5) None of these

5.    The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average is:(1) 3:5(2) 2 :3(3) 4 : 7(4) 3: 7

(5) None of these

Directions ( 6 – 10) : The following pie-chart shows the sources of funds (in crores) to be collected by a company. Study the pie-chart and answers the question that follow.

6.    If company could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds?(1) 4 %                  (2) 6%(3) 8%                   (4) 10%(5) None of these

7.    Near about 20% of the funds are to be arranged through ?(1) SPVS               (2) Annuity(3) External Assistance(4) Market borrowing(5) None of these

8.    The central angle corresponding to Market Borrowing is ?(1) 187.2 degree(2) 183.2  degree(3) 181.2 degree(4) 180.2 degree(5) None of these

9.    If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4,910 crores?(1) Rs. 5401 crore(2) Rs. 5301 crore(3) Rs. 5201 crore(4) Rs. 5101 crore(5) None of these

10.  The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is ?(1) 1 : 6                  (2) 2 : 5(3) 3 : 7                  (4) 6 : 7(5) None of these

ANSWERS WITH Explanation: 1.    Explanation

Required Ratio = 5040/3360 = 1.5

2.    Explanation:Foreign exchange reserve in 1997-98 = 5040 million US $Foreign exchange reserve in 1993-94 = 2520 million US $Increase = 5040 - 2520 = 2520 million US $Percentage Increase =[(2520)/(2520)] X 100  = 100%

3.    Explanation Before solving this, put a clever eye on the chart, just calculate for those years which are actually having increase if we compare to previous year.These years are 1992-93, 1994-95, 1996-97, 1997-98So lets calculate the percentage increase of these years compared to previous years:i. For year 1992-93 =[(3720−2640)/(2640)] 100 = ∗ 40.91%ii. For year 1994-95 =[(3360−25200)]/(2520) 100 = ∗ 33.33%iii. For year 1996-97 =[(4320−3120)/(3120)] 100 =∗ 38.46 %Iv. For year 1997-98 =([5040−4320)/(4320)] 100∗ =16.67%

4.    ExplanationFirst get the average of these 8 years.which is, 1/8(2640+3720+2520+3360+3120+4320+5040+3120)= 3480 million US $Foreign exchange reserves in 1996-97 = 4320 million US $Required Percentage = [(4320/3480)] 100)∗ %=125%

5.    ExplanationAverage foreign exchange reserves over the given period is = 3480 million US $The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and 1997-98. So three years’ was above the average and for rest of five years it was below the averageSo required ratio is3:5

6.    Explanation:New funds = 11486 - 9695= Rs. 1791 croresIncrease in requirement of market borrowing is 1791 crore

Now, 1791 crore is what percent of Market Borrowing=[(1791)/(29952)]∗100%=5.98%=6% (approx)

7.    Explanation:Total funds are = 29952+11486+5252+4910+6000= 57600 croreNow 20% of 57600 = 20/100 * 576000= 11520 croreWhich is approximately equal to External Assistance

8.    Explanation:Central angle corresponding to Market Borrowing[(29952/57600)]∗360=187.2 degree

9.    Amount required = (Funds required from toll) + (10% of these funds)= 4910 + 10% of (4910)= 4910 + (10/100)*4910= 4910 + 491= 5401 crore 

10.  Explanation:Required Ratio=4910/29952=1/6.1=1:6

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Data Interpretation For SBI PO - 2014

 Directions: ( 1 – 5) : The following pie chart represents the break-up of Raju’s monthly Expenses.

1.    If Raju spent Rs 4500 more on food and transport together than he spent on rent, then Find his monthly expenses.(1) Rs. 20 ,000(2) Rs. 15,000(3) Rs. 30,000

(4) Rs. 40,000(5) Rs. 35,000

2.    If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%, then his savings would be what percentage of his expenses?(1) 15%(2) 25%(3) 30%(4) 10%(5) 20%

3.    Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to Rs 2100. Find his expenditure on education.(1) 4,500(2) 5,000(3) 7,000(4) 6,500(5) None of these

4.    Find the angle made by the expenditure on rent and ‘others’ put together.(1) 1500

(2) 1600

(3) 1800

(4) 2000

(5) None of these

5.    As prices dropped, Raju’s expenditure on clothes dropped by 10%. As a result of this, his expenditure on ‘others’ decreased from Rs 10,500 to Rs 10,290.What percentage of his expenditure on ‘others’ was spent on clothes?(1) 12%(2) 30%(3) 16%(4) 20%(5) None of these

Direction(6 – 10) :Study the following line graph which gives the number of students who joined and left the school in the beginning of the year for six years from 1996 to 2001.Initial strength of the school in 1995 was 3000 Answer questions based on the line graph given below.

6.    The strength of the school increased from 1997 to 1998 by what percent ?(1) 1.7 %                           (2) 1.8 %(3) 1.9 %                           (4) 2 %(5) None of these

7.    The number of students studying in the school during 1999 was :(1) 3100                             (2) 3000(3) 3150                             (4) 3250(5) None of these

8.    During which of the following pairs of years, the strength of the school was same ?(1) 1997 and 1998(3) 1998 and 2000(3) 1999 and 2001(4) 1996 and 2000(5) None of these

9.    The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001 ?(1) 90.75 %                       (2) 91.75%(3) 92.75%                        (4) 93.75%

10.  Among the given years the largest number of students joined in which year ?(1) 1999                             (2) 2000(3) 2001                             (4) 1998(5) None of these

Answers With Solutions : 1.    Percentage of his expenditure spent on rent =15%

Percentage of his expenditure spent on transport and food =30%⇒ 30%−15%=15% = Rs 4500

Monthly expenses: = 100%  = ( 100/15) X 4500 = Rs. 30,000

2.    Let his monthly income be Rs x.Original savings = Rs. ( 10/100)xNew Savings = ( 10/100)x + 20/100(10x/100)= Rs. ( 12/100)xOriginal expenditure = x – (10/100)x= Rs. ( 90/100)xNew expenditure := (90/100)x – (20/100) ( 90x/100)= Rs. ( 72/100)xRequired  percentage :[(12x/100)/(72x/100)] x 100= 16.66%

3.    Expenditure on entertainment:=20%of(35% of others)=7% of the total expenses⇒ 2100=7% of total expensesAlso education accounts for 20% of the total expenses.⇒ Expenditure on education: = 20% of the total= Rs [ 2100 x ( 20/7)]= Rs. 6,000

4.    Total expenditure on rent and others:=15%+35%=50%Required angle = ( 50/100) x 3600

= 1800

5.    Decrease in expenditure on ‘others’:=10,500−10,290= Rs 210⇒ initial expenditure on clothes: = 210 (100/10) = Rs. 2100  Required percentage:= ( 2100/10,500) x 100= 20%

Directions ( 6-10):6.    (1)

Explanation: Let analyse the graph before answering question.Number of students in 1995 = 3000 [given]Number of students in 1996 = 3000-250+350 = 3100Number of students in 1997 = 3100-450+300 = 2950Number of students in 1998 = 2950-400+450 = 3000Number of students in 1999 = 3000-350+500 = 3150Number of students in 2000 = 3150-450+400 = 3100Number of students in 2001 = 3100-450+550 = 3200

Above analysis will help us solving problems for this line graph.Lets be back on question now,Percentage increase in strength of the school from 1997 to 1998 will be,= ((3000−2950)/2950 100)%=1.69%∗So this is approx equal to 1.7%

7.    (3)Explanation: Number of students in 1995 = 3000 [given]Number of students in 1996 = 3000-250+350 = 3100Number of students in 1997 = 3100-450+300 = 2950Number of students in 1998 = 2950-400+450 = 3000Number of students in 1999 = 3000-350+500 = 3150

8.    (4)Explanation: Number of students in 1995 = 3000 [given]Number of students in 1996 = 3000-250+350 = 3100Number of students in 1997 = 3100-450+300 = 2950Number of students in 1998 = 2950-400+450 = 3000Number of students in 1999 = 3000-350+500 = 3150Number of students in 2000 = 3150-450+400 = 3100Number of students in 2001 = 3100-450+550 = 3200From from above options we find in 1996 and 2000 number of students was same i.e. 3100

9.    (4)Explanation: Number of students in 1995 = 3000 [given]Number of students in 1996 = 3000-250+350 = 3100Number of students in 1997 = 3100-450+300 = 2950Number of students in 1998 = 2950-400+450 = 3000Number of students in 1999 = 3000-350+500 = 3150Number of students in 2000 = 3150-450+400 = 3100Number of students in 2001 = 3100-450+550 = 3200In 2001 students = 3200In 1998 students = 3000Required Percentage =(3000/3200 100)%∗ =93.75%

10.  (3)Explanation: Clearly from the line graph we can judge it was in year 2001.