# Statistics and Data Interpretation

Quantitative Aptitude Questions and Answers section on “Statistics and Data Interpretation” with solution and explanation for competitive examinations such as CAT, MBA, SSC, Bank PO, Bank Clerical and other examinations.

1.

The percentage expenses on various items during book production and sale.

(a) The cental angle for the sector on “Paper-Cost” is :
[A]22.5°
[B]36°
[C]16°
[D]54.8°

36°
100%=360°
∴1%=360°/100
∴10%=360°*10/100=36°

(b) If the ‘Printing -Cost’ is 17500 RS. The royalty paid is :
[A]6300 Rs.
[B]7500 Rs.
[C]8750 Rs.
[D]3150 Rs.

7500 Rs.
35% total cost = Rs. 17500
∴15% of total cost = $Rs. \frac{17500\times 15}{35} = Rs. 7500$

(c) If the “miscellaneous expenses” are Rs. 6000. How much more are “binding and cutting charges” than “Royalty”?
[A]Rs. 10500
[B]Rs. 4500
[C]Rs. 6000
[D]Rs. 5500

Rs. 4500
Difference in per cent cost of ‘binding and cutting charges’ and ‘rotalty’ = (18-15)%= 3%
Now, 4% of total cost = Rs. 6000
∴ 3% of total cost = $Rs. \frac{6000\times 3}{4}= Rs. 4500$

(d) The central angle corresponding to the sector on “Printing Cost” is more than that of “Acvertisement Charges” by:
[A]54.8°
[B]61.2°
[C]72°
[D]60°

61.2°
Difference in per cent expensses on printing cost and advertisement charges = (35 – 18)% = 17%
Now, 1% = 3.6%
∴ 17% = 3.6°$\times$17=61.2°

(e) The “Paper Cost” is approximately what percent of “Printing Cost”?
[A]32.5%
[B]30%
[C]20.3%
[D]28.6%

28.6%
The required per cent = $\frac{10\times 100}{35}$= 28.6% (approx)

2.

The pie chart drawn belown shows the expenses of a family on various items and its savings during the year 2001. Study the graph and answer the question.

(a) Maximum expenditure of the family was on :
[A]Education of child
[B]Housing
[C]Food
[D]Other items

Food
Maximum expenditure of the family is on food, which is 23%.

(b) The total savings of the family for the year were equal to the expenditure on :
[A]Food
[B]Housing
[C]Clothing
[D]Other items including transport

Housing
∵ Expenditure on housing = Savings = 15%.

(c) What per cent of income was spent on transport and other items together?
[A]20%
[B]25%
[C]32%
[D]30%

25%
% Expenditure on transport and other items = (20 + 5) % = 25%.

(d) If the total income of the family was 100000 Rs., how much money was spent on the education of the children?
[A]23000 Rs.
[B]15000 Rs.
[C]12000 Rs.
[D]10000 Rs.

12000 Rs.
Expenditure on the education of the children
$= 12\% of 100000 Rs.$
$= \frac{12\times 100000}{100}Rs.$
$= 12000 Rs.$
Hence option [C] is the right answer.

(e) If the total income for the year was 100000 Rs. the difference of the expensses (in rupees) between housing and transport was:
[A]7000 Rs.
[B]10000 Rs.
[C]15000 Rs.
[D]12000 Rs.

10000 Rs.
The percentage difference in expenditure on housing and transport = (15 – 5) % = 10%
The required difference $= 10\% of 100000$
$= 10000 Rs.$
Hence option [B] is the right answer.