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Data Interpretation MCQ Questions and Answers - Pie Chart

Learn Pie Chart Data Interpretation mcq question and answers with easy and logical explanations Page-5 section-1

Directions (1 - 5): Refer to the pie-chart and the table carefully and answer the given question.
Distribution of total number of cellular phones (both Nokia and Samsung) sold by six stores in October.
Direction image of Pie Chart chapter
Ratio of the number of Nokia cellular phones sold to that of Samsung cellular phone sold.
Store Ratio
P 4 : 3
Q 3 : 1
R 5 : 4
S 7 : 6
T 1 : 4
U 11 : 10
1
What is the central angles corresponding to the total number of cellular phones (both Nokia and Samsung) sold by store S?
Discuss
Answer & Solution
Store Nokia Cellular Phones Samsung Cellular Phones Total Number of Cellular Phones
P 896 672 1568
Q 840 280 1120
R 1120 896 2016
S 1568 1344 2912
T 448 1792 2240
U 704 640 1344

Percentage of cellular phones (both Nokia and Samsung) sold by Store S = 26%
∴ Required central angle
= $$\frac{26}{100}$$ × 360
= 93.6°
2
What is the average of Nokia cellular phones sold by store P, R, S and T together?
Discuss
Answer & Solution
Store Nokia Cellular Phones Samsung Cellular Phones Total Number of Cellular Phones
P 896 672 1568
Q 840 280 1120
R 1120 896 2016
S 1568 1344 2912
T 448 1792 2240
U 704 640 1344

Total Nokia Phone sold by stores P, R, S and T
= 896 + 1120 + 1568 + 448
= 4032
∴ Required average
= $$\frac{4032}{4}$$
= 1008
3
What is the ratio of the number of Nokia cellular phones sold by store S to the Samsung cellular phones sold by store T and U together?
Discuss
Answer & Solution
Store Nokia Cellular Phones Samsung Cellular Phones Total Number of Cellular Phones
P 896 672 1568
Q 840 280 1120
R 1120 896 2016
S 1568 1344 2912
T 448 1792 2240
U 704 640 1344

Number of Nokia phones sold by store S = 1568
Number of Samsung Phones sold by store T and U together
  = 1792 + 640
  = 2432
$$\eqalign{ & \therefore \text{ Required ratio} \cr & = \frac{1568}{2432} \cr & = \frac{49}{76} \cr & = 49:76 \cr} $$
4
The number of Nokia cellular phones sold by store R is what percent more than that of Samsung cellular phones sold by store P and Q together?
Discuss
Answer & Solution
Store Nokia Cellular Phones Samsung Cellular Phones Total Number of Cellular Phones
P 896 672 1568
Q 840 280 1120
R 1120 896 2016
S 1568 1344 2912
T 448 1792 2240
U 704 640 1344

Number of Nokia phones sold by store R = 1120
Number of Samsung phones sold by store P and Q together
  = 672 + 280
  = 952
$$\eqalign{ & \therefore \text{Required percentage} \cr & = \frac{1120-952}{952}\times100 \cr & = \frac{16800}{952}\% \cr & = \frac{300}{17}\% \cr & = 17\frac{11}{17}\% \text{ more} \cr} $$
5
The total number of cellular phones (both Nokia and Samsung) sold by store Q increased by 15% from October to November and the same of cellular phones sold by store T increased by 5% from October to November. What was the total number of cellular phones sold by store Q and T together in November?
Discuss
Answer & Solution
Store Nokia Cellular Phones Samsung Cellular Phones Total Number of Cellular Phones
P 896 672 1568
Q 840 280 1120
R 1120 896 2016
S 1568 1344 2912
T 448 1792 2240
U 704 640 1344

Number of cellular phones (both Nokia and Samsung) sold by store Q in October
= 11200 × $$\frac{10}{100}$$
= 1120
∵ Number of cellular phones (both Nokia and Samsung) sold by store Q in November
= 1120 × $$\frac{115}{100}$$
= 1288
Number of cellular phones (both Nokia and Samsung) sold by store T in October
= 11200 × $$\frac{20}{100}$$
= 2240
∵ Number of cellular phones (both Nokia and Samsung) sold by store T in November
= 2240 × $$\frac{105}{100}$$
= 2352
∵ Total number of cellular phones (both Nokia and Samsung) sold by Q and T together in November
= 1288 + 2352
= 3640