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Data Interpretation

Level 4 Questions

     


Question 39.  

A SAVINGS BANK IN A LARGE CITY PUBLISHED THE FOLLOWING GRAPH FOR ITS DEPOSITORS, HOW YOUR SAVINGS WORK FOR YOU.


1.   The average annual interest on mortgage investments is m% and the average annual interest on the mortgage bond investment is b%. If the annual interest on the bond investment is x dollars, how many dollars are invested in mortgages?

      1.  xm/b.
      2.  xb/m.
      3.  100xb/m
      4.  bx/100m.
      5.  200x/b

Answer : 5

Explanation :
 
Amount invested in bonds = $(100x/b). Therefore the amount invested in mortgages must be $(58.6/29.3) (100x/b) = $ 200x/b.

2.   About how many degrees (to the nearest degree) are in the angle of the sector representing cash on hand?
 

      1.  114
      2.  14
      3.  140
      4.  39
      5.  321
 
Answer : 2
 

Explanation :
 
(3.9%) of 360 degrees. = (0.0369 (360) = 14.04. This is nearest to 14. Therefore the answer is B.


Question 37.  
 

DRIVING BETWEEN SEVERAL CITIES (Driving time, in hours, in parentheses)


1.   A man drives from Albany to Boston. His average speed for 2 hours is 60 miles per hour. What is his average speed (approximately) for the remaining portion of the trip if he completes it in the usual time?
 

      1.  34
      2.  38
      3.  40
      4.  45
      5.  68
 
Answer : 2
 

Explanation :
 
The driver covered (60) (2) = 120 miles in two hrs. He has to cover 51 miles more. For this he can spend (3 1/3) - 2 = 1 1/3 hrs = 4/3 hrs for the rest of the trip. speed = distance/time. speed = 51/(4/3)hours = (51)(3/4) = 153/4 = 38 1/4 miles per hour. It is approximately 38 miles per hour.

2.   Find approximately the ratio of the average speed of a man who drove from Montreal to Boston via Albany and to the average speed of a man who drove from Montreal to Boston via Portland.
 

      1.  1
      2.  3/2
      3.  2/3
      4.  1/5
      5.   5/4
 
Answer : 1
 

Explanation :
 
The distance between Montreal and Boston via Albany is 231+171=402 miles. The time taken for this drive is 6 1/4 + 3 1/3 = (25/4)+(10/3) = 115/12 hours. Therefore the speed of this drive is 402/(115/12) = (402)(12)/(115) The distance between Montreal and Boston via Portland is 265+108=373 miles. The time taken for this drive is 6 3/4 + 2 5/12 = (27/4)+(29/12) = 110/12 hours. Therefore the speed of this drive is 373/(110/12) = (373)(12)/(110). The ratio of these two is (402)(12)/(115)/ (373)(12)/(110) = (402)(22)/(373)(23) = 1 approximately.


Question 13.  
 



1.   How many grams of sucrose (to the nearest gram) must be added to one gram of saccharin to make a mixture that will be 100 times as sweet as glucose?)
 

      1.  7
      2.  8
      3.  9
      4.  10
      5.  100
 
Answer : 2
 

Explanation :
 
100 times as sweet as glucose = 74. Let x be the number of grams of sucrose to be added to saccharin. 1 gram of saccharin = 675. If x grams of sucrose is added to 1 gram of saccharin, then the sweetness of the mixture=(Sweetness/number of grams) = (x(1.00) + 675)/(1 + x) and we need it to be equal to 74. Therefore x + 675 = 74 + 74x Therefore x - 74x = 74 - 675 Therefore - 73x = - 601 Therefore x = (601/73) = 8.2 grams. It is nearest to 8 grams.

2.   What is the ratio of glucose to lactose in a mixture as sweet as maltose?

      1.  8 : 21
      2.  21 : 8
      3.  25 : 9
      4.  29: 8
      5.  32: 5

Answer : 1

Explanation :

Obviously we must use less of the glucose than Lactose to get 0.32, since glucose is sweeter than lactose. In the given choices the least proportion of glucose to lactose is 8 : 21. Therefore the answer is (A). Or Suppose the ratio is x:y. Assume x+y=1. Then x(0.74)+(1-x)(0.16)=0.32 implies x(0.74-0.16)=0.32-0.16 implies x(0.58)=0.16 implies x=(16/58)=(8/29). y=(1-x)=(21/29) Therefore the ratio is 8:21.


Question 10.  


1.   Ratio of the amount spent on legal affairs in 1970 to the amount spent on legal affairs in 1960 approximately.
 

      1.  3/1
      2.  1/3
      3.  2/3
      4.  1/2
      5.  3/2
 
Answer : 4
 

Explanation :
 
Amount spent on legal affairs in 1970 = (4851/100)x4 = 194.25. Amount spent on legal affairs in 1960 = (3087/100)x12 = 370.04 The ratio is 194.25/370.04. Approximately it is (1/2).

2.   The amount spent on materials in 1960 was 120% of the amount spent on
      1.  Research in 1960
      2.  Compensation in 1960
      3.  Advertising in 1970
      4.  Materials in 1970
      5.  Legal affairs in 1960
 
Answer : 1
 

Explanation :
 
(18x100)/120 =15%. Research received 15% of the expenditure in 1960.
 

Question 9.  


1.   Among the four years in which year in which industry maximum percentage of people were selected and what percentage it will be of total people selected in that year in all industries? (Find approximately)
 

      1.  1972, cotton industry, 36%
      2.  1971, cotton industry, 40%
      3.  1973, cotton industry, 40%
      4.  1971, food products, 30%
      5.  1973, cotton industry, 45%
 
Answer : 3
 

Explanation :

By observing the table we can find that in all the four years in the industry of cotton textiles more people were selected. In the year 1970 the number of selected people were 2595. In this year 944 were selected in cotton industry. It is of (100/2595)(944)=36% approximately. In the year 1971 the number of selected people were 2816. In this year 1018 were selected in cotton industry. It is of (100/2816)(1018)=36% approximately. In the year 1972 the number of selected people were 2870. In this year 1042 were selected in cotton industry. It is of (100/2870)(1042)=36% approximately. In the year 1973 the number of selected people were 3061 In this year 1225 were selected in cotton industry. It is of (100/2595)(1225)=40% approximately. Note: By observing the table one can see that in 1973 more people and in that in cotton industry more were selected. So it is enough to calculate for the year 1973 only.

2.   Among the four years in which industry maximum percentage of people were selected in that industry than the earlier year?
 

      1.  cotton textiles
      2.  Beverages
      3.  food products
      4.  other textiles
      5.  wood and wood products.
 
Answer : 2
 

Explanation :
 
By observing the given data we can see that only for the following cases a considerable percentage of more people were selected in that industry than the earlier year. For 1970-1971, in the industry of food products 64 more selected and this is of approximately (100/676)(64)=9% For 1970-1971, in the industry of Beverages 52 more selected and this is of approximately (100/144)(52)=36%. For 1970-1971, in the industry of cotton textiles 74 more selected and this is 8%. For 1972-1973, in the industry of cotton textiles 183 more selected and this is of approximately (100/1042)(183)=18%. Therefore in 1971 in the industry of Beverages a maximum percentage of more people were selected in that industry than the earlier year.


Question 33.  
 

INCOME: 1. Money from fund raising programmes, 2. Grant from the government, 3. Contributions from individuals, 4. Contributions from corporations, 5. Contributions as commodities. EXPENDITURE: 1. Education of the illiterate, 2. Food for the poor, 3.Management and salary of staff, Expenses to organise fund-raising programmes. Above charsts show the amounts of an NGO Income for the year 1998-1999 = $ 55 Mn. Expenditure for the same year = $54Mn.


1.   If the government stops the grant and the expenditure pattern remains the same, then what will be the decrease in the money spent for the education of illiterate?
 

      1.  19.37mn
      2.  22.5mn
      3.  28.3mn
      4.  5.43mn
      5.  3.13mn
 
Answer : 5
 

Explanation :
 
Government grant =(50/360)x55 =7.64Mn. 55-7.64=47.36 Mn. Money saved =47.36x(1/55), of the rest, (150/360) is spent for education. Therefore Money for education =47.36 x (54/55)x(150/360 ) =19.37 Mn. Money spent earlier =22.5 Mn. 22.5-19.37=3.13 Mn.

2.   How much money is raised by fund raising programmes?
 

      1.  21.39 mn
      2.  30.13mn
      3.  14mn
      4.  28mn
      5.  28.57mn
 
Answer : 1

Explanation :
 
(140/360)x55=21.39.




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