Data Analysis and Sufficiency Test

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Data Analysis and Sufficiency Test - 5

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Weekly Quiz Competition

Question 1
1 / -0.25

Directions For Questions

Direction: The Pie chart below shows the percentage of income of 6 family members A, B, C, D, E and F. The bar graph shows the amount of monthly expenditure done for various things. Study the data carefully and answer the questions. Total monthly income of the family is Rs. 80000.

...view full instructions

Find the difference of average income of the family (excluding F) and the average expenditure of the family.

A
Rs. 3200

B
Rs. 3000

C
Rs. 3400

D
Rs. 2800

Solution

Given:

Total income of the family = Rs. 80,000

Percentage income of F = 20%

Calculation:

Total income of the family(excluding F) = 80000 × 0.8 = Rs. 64000

⇒ Average income of the family (excluding F) = $\frac{64000}{5}$ = Rs. 12800

Average expenditure of the family = 15000 + 9000 + 12500 + 4000 + 6500 = 47000

Average expenditure of the family = $\frac{47000}{5}$ = Rs. 9400

∴ Required difference = 12800 – 9400 = Rs. 3400
Question 2
1 / -0.25

Directions For Questions

Direction: The Pie chart below shows the percentage of income of 6 family members A, B, C, D, E and F. The bar graph shows the amount of monthly expenditure done for various things. Study the data carefully and answer the questions. Total monthly income of the family is Rs. 80000.

...view full instructions

Find the ratio of income of C and the expenditure done on miscellaneous items.

A
16 : 13

B
15 : 14

C
17 : 16

D
32 : 33

Solution

From the pie chart:

Amount of income of C = 80000 × 0.08 = Rs. 6400

From the bar graph:

Expenditure done on miscellaneous items = Rs. 6600

∴ Required ratio = 640 : 660 = 32 : 33
Question 3
1 / -0.25

Directions For Questions

Direction: The Pie chart below shows the percentage of income of 6 family members A, B, C, D, E and F. The bar graph shows the amount of monthly expenditure done for various things. Study the data carefully and answer the questions. Total monthly income of the family is Rs. 80000.

...view full instructions

The expenditure done on rent is how much percent more than the expenditure done on food?

A
25%

B
20%

C
16%

D
15%

Solution

Expenditure done on rent = Rs. 15000

Expenditure done on food = Rs. 12500

∴ Required percentage = $\frac{15000 - 12500}{12500}$ = 20%
Question 4
1 / -0.25

Directions For Questions

Direction: In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

...view full instructions

Quantity I: The marked price of an item is 25% above the cost price of an item. When selling price is Rs. 2750 there is a gain percentage of 10% for the same cost price of an item. If the shopkeeper decides to give a discount of 2%, find the profit percentage.

Quantity II: Radha invests Rs. 2500 and Rs. 3000 on simple interest at the rate of interest A% and B% per annum for 2 years. At the end of two years, he she noticed she had a profit of Rs. 2320 in both cases. If she would interchange the rate of interest in both cases, she would have the profit of Rs. 2300, Find the value of B.

A
Quantity I ≥ Quantity II

B
Quantity I ≤ Quantity II

C
Quantity I < Quantity II

D
Quantity I > Quantity II

Solution

Quantity I:

Selling price = Rs. 2750

Profit percentage = 10%

Cost price of an item = 2750 × $\frac{100}{110}$ = Rs. 2500

Marked price of an item = 2500 × $\frac{125}{100}$ = Rs. 3125

Discount percentage = 2%

Selling price after 2% discount = 3125 × $\frac{98}{100}$ = Rs. 3062.5

Profit percentage = $\frac{3062.5 - 2500}{2500}$ × 100

Profit percentage = 22.5%

Quantity II:

Simple Interest earned by Rohan in 2 years,

$= (2500 \times A \times \frac{2}{100}) + (3000 \times 2 \times \frac{B}{100})$

= 50A + 60B

Profit he had = 2320

⇒ 50A + 60B = 2320

⇒ 5A + 6B = 232

Simple Interest earned by interchanging rates of interest,

$= (2500 \times B \times \frac{2}{100}) + (3000 \times 2 \times \frac{A}{100})$

= 50B + 60A

Profit he had = 2300

⇒ 50B + 60A = 2300

⇒ 6A + 5B = 230

Solving,

A = 20% and B = 22%

So, we can observe Quantity I > Quantity II.
Question 5
1 / -0.25

Directions For Questions

Direction: In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

...view full instructions

Rs. 17600 is divided into two equal halves and invested for 5 years, one at SI and the other at CI at different rates of interest. The amount invested under CI fetches a rate of interest of 10%. The amount at SI is invested at 20%.

Quantity I: The amount obtained after five years under compound interest.

Quantity II: The amount obtained after five years under simple interest.

A
Quantity I > Quantity II

B
Quantity I < Quantity II

C
Quantity I ≥ Quantity II

D
Quantity I ≤ Quantity II

Solution

Given:

Principal = Rs. 17600 is divided into two equal halves

Time = 5 years

Rate of interest of CI = 10%

Rate of interest of SI = 20%

Formula:

Compound interest = $P {(1 + \frac{r}{100})}^{t} - P$

Simple interest = $\frac{Principal \times Time \times Rate}{100}$

Calculation:

Quantity I: The amount obtained after five years under compound interest.

Amount = $8800 {(1 + \frac{10}{100})}^{5} = 14172.5$

Quantity II: The amount obtained after five years under simple interest.

Interest = $\frac{8800 \times 20 \times 5}{100} = 8800$

Amount = 8800 + 8800 = 17600

∴ Quantity I < Quantity II.
Question 6
1 / -0.25

Directions For Questions

Direction: Read the following passage and answer the questions that follow:

A institute offers MBA in three specialization in Marketing, Finance and Human Resources (HR). The total strength of boys is 60% percentage of the total strength. The number of boys studying HR is 450 which is 25% of total number of boys studying in the institute. 40% of girls are studying HR. The number of boys and girls studying marketing are 3 : 2. 45% of boys study Finance.

...view full instructions

What is the total strength of institute?

A
1125

B
1800

C
2400

D
3000

Solution

Number of boys studying HR = 25% of total boys = 450

Total strength of boys = 450 × $\frac{100}{25}$ = 1800

Total strength of institute = 1800 × $\frac{100}{60}$ = 3000
Question 7
1 / -0.25

Directions For Questions

Direction: Read the following passage and answer the questions that follow:

A institute offers MBA in three specialization in Marketing, Finance and Human Resources (HR). The total strength of boys is 60% percentage of the total strength. The number of boys studying HR is 450 which is 25% of total number of boys studying in the institute. 40% of girls are studying HR. The number of boys and girls studying marketing are 3 : 2. 45% of boys study Finance.

...view full instructions

What is the total number of students studying marketing?

A
360

B
540

C
720

D
900

Solution

Number of boys studying finance = 45% = $\frac{45}{100}$ × 1800 = 810

Number of boys studying marketing = 1800 – (450 + 810) = 540

Number of girls studying marketing = 540 × $\frac{2}{3}$ = 360

Total students studying marketing = 540 + 360 = 900
Question 8
1 / -0.25

Directions For Questions

Direction: Read the following passage and answer the questions that follow:

A institute offers MBA in three specialization in Marketing, Finance and Human Resources (HR). The total strength of boys is 60% percentage of the total strength. The number of boys studying HR is 450 which is 25% of total number of boys studying in the institute. 40% of girls are studying HR. The number of boys and girls studying marketing are 3 : 2. 45% of boys study Finance.

...view full instructions

What is the number of girls studying finance?

A
240

B
360

C
480

D
600

Solution

Total strength of girls = 3000 – 1800 = 1200

Number of girls studying marketing = 360

Number of girls studying HR = $\frac{40}{100}$ × 1200 = 480

Number of girls studying finance = 1200 – (360 + 480) = 360
Question 9
1 / -0.25

Directions For Questions

Direction: Read the following passage and answer the questions that follow:

A institute offers MBA in three specialization in Marketing, Finance and Human Resources (HR). The total strength of boys is 60% percentage of the total strength. The number of boys studying HR is 450 which is 25% of total number of boys studying in the institute. 40% of girls are studying HR. The number of boys and girls studying marketing are 3 : 2. 45% of boys study Finance.

...view full instructions

What is the ratio of boys and girls studying HR?

A
29 : 30

B
40 : 51

C
36 : 21

D
15 : 16

Solution

Number of girls studying HR = $\frac{40}{100}$ × 1200 = 480

Number of boys studying HR = 450

Ratio of boys and girls studying HR = $\frac{450}{480}$ = 45 ∶ 48 = $\frac{15}{16}$
Question 10
1 / -0.25

Directions For Questions

Direction: Read the following passage and answer the questions that follow:

A institute offers MBA in three specialization in Marketing, Finance and Human Resources (HR). The total strength of boys is 60% percentage of the total strength. The number of boys studying HR is 450 which is 25% of total number of boys studying in the institute. 40% of girls are studying HR. The number of boys and girls studying marketing are 3 : 2. 45% of boys study Finance.

...view full instructions

What percentage of total girls study marketing?

A
20%

B
30%

C
40%

D
45%

Solution

Total strength of girls = 3000 – 1800 = 1200

Number of girls studying marketing = 360

Percentage of total girls studying marketing = $\frac{360}{1200}$ × 100 = 30%

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Re-Attempt Weekly Quiz Competition

Data Analysis and Sufficiency Test - 5

Result

Data Analysis and Sufficiency Test - 5

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SHARING IS CARING

Question 1

Rs. 3200

Rs. 3000

Rs. 3400

Rs. 2800

Solution

Question 2

16 : 13

15 : 14

17 : 16

32 : 33

Solution

Question 3

25%

20%

16%

15%

Solution

Question 4

Quantity I ≥ Quantity II

Quantity I ≤ Quantity II

Quantity I < Quantity II

Quantity I > Quantity II

Solution

Question 5

Quantity I > Quantity II

Quantity I < Quantity II

Quantity I ≥ Quantity II

Quantity I ≤ Quantity II

Solution

Question 6

1125

1800

2400

3000

Solution

Question 7

360

540

720

900

Solution

Question 8

240

360

480

600

Solution

Question 9

29 : 30

40 : 51

36 : 21

15 : 16

Solution

Question 10

20%

30%

40%

45%

Solution

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Question Analysis

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