ASB Assignments

7/30/2019 ASB Assignments

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Amity CampusUttar Pradesh

India 201303

ASSIGNMENTSPROGRAM: BFIA

SEMESTER-V

Subject Name: ANALYTICAL SKILL BUILDINGStudy COUNTRY: SOMALIA LCRoll Number (Reg.No.): BFIA01512010-2013019Student Name: Mohamed Abdullahi Khalaf

INSTRUCTIONS

a) Students are required to submit all three assignment sets.

ASSIGNMENT DETAILS MARKSAssignment A Five Subjective Questions 10Assignment B Three Subjective Questions + Case Study 10Assignment C Objective or one line Questions 10

b) Total weight age given to these assignments is 30%. OR 30 Marksc) All assignments are to be completed as typed in word/pdf.d) All questions are required to be attempted.e) All the three assignments are to be completed by due dates and

need to be submitted for evaluation by Amity University.f) The students have to attached a scan signature in the form.

Signature :

Date : 27/12/2012

( ) Tick mark in front of the assignments submitted

Assignment A Assignment B Assignment C


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Analytical Skill Building

Part A

Q: 1).Differentiate between Data Interpretation and Data Sufficiency.

Answer:

Data Interpretation (DI) sometimes also called "Data Analysis" can be definedas the application of statistical procedures to analyze specific observed orassumed facts from particular study. Data interpretation as the name suggeststests the skills of understanding data presented in different forms like bargraphs, tables, charts and bar graphs.

Researchers interpret data using statistical formulas; for example, they may

calculate the average height of a group of study subjects, or the probability thatthe height of a random study subject is less than 5 feet.

The result of data interpretation may be as simple as a number, as in, the

average height of the subjects is 5 feet 6 inches. It may be presenting two ormore types of data in a chart or graph for easier comparison. It may be writinga report, making a presentation or formulating a theory.

Two people looking at the same set of complex data may interpret it in differentways, performing different statistical analyses or drawing opposite conclusions.Data interpretation often raises additional or new questions for study.

Data Sufficiency is about working out what is necessary and sufficient data toanswer a question which is very different from the usual problem solvingquestions that are faced.

Each data sufficiency question consists of 3 parts namely:

The question,

Statement 1, and

Statement 2.

To determine the solution, one needs to give the combination of the twostatements that is necessary and sufficient to arrive at the answer to thequestion.

Thus, Data interpretation tests or requires one to be adept in determining themeaning data whereas data sufficiency questions requires you to determine


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statements or conditions that are not only necessary but also are required orsufficient to come with a solution to the problem or question.

Q: 2).Explain the process of construction of Pie Chart.

Answer:

A Pie Chart is a type of a circle graph normally used to showcase a wholesomequantity, it shows how this whole quantity is broken down into parts. Thewhole quantity depicts entire sample space and the pieces of pie in the circlegraph are called Sectors.

To construct a pie chart, all data values need to be added to come up with thetotal of the samples/population under study.

Each data value is then expressed as a fraction or percentage of the total found

above.

The next step is to determine the angle sector each data value will take in thepie chart. This is accomplished by multiplying the fraction or percentage foundby 3600. The angle that will be found for each data value represents the angle itshould take in the pie chart.

If calculations are done correctly, the sum of fractions for all data values out ofthe total should be unity (one) or if percentages are used the percentagesshould add up to 100. The angles for the sectors found should also add up to3600.

To draw the pie chart, one requires to have a pair of compasses and protractor.

Using the pair of compasses, a practically suitable circle is drawn. Since anglesat the centre of a circle add up to 3600, and our angle sectors added up to3600, the angle at the centre is divided according to the sector angles.

The pie chart is then labeled accordingly for ease of interpretation. This mainlyinvolved coming up with a key and adding a title to the pie chart. This may also

involve other labels of one's choice which may include colours, labeling in thesectors if practically possible, etc.

Q: 3). If the speed of a body and the radius of its circular path aremade thrice by what factor the centripetal acceleration will change?

Answer:

Centripetal acceleration=


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when the speed and the radius are made thrice then

Q: 4).Define average angular acceleration.

Answer:

Angular acceleration is the rate of change of angular velocity with respect totime. Suppose the body has moved some distance then if we consider initialand final point where the displacement gets an end, then its average angularacceleration is given by Average angular acceleration.

The average angular acceleration of an object is defined as the ratio of the

change in angular velocity to the time taken by the body to undergo thischange. i.e

Q: 5). In what ratio must rice at Rs 9.30 per Kg be mixed with rice at Rs10.80 per Kg so that the mixture be worth Rs 10 per Kg?

Answer:

C.P of 1 Kg rice of 1st kind 930 p

C.P of 1 Kg rice of 2n d kind 1080p

Mean Price 1000p

80 70

Required ratio=80:70 = 8:7

Q: 6).How much water must be added to 60 liters of milk at 11/2 liters

for Rs 20 so as to have a mixture worth Rs 10 2/3 a liter?

Answer:

C.P of 1 lit of milk = 20*2/3 = 40/3

C.P of 1 lit of water 0 C.P of 1 lit of milk 40/3


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Mean Price 32/3

8/3 32/3

Ratio of water and milk =8/3 : 32/3 = 1:4

Quantity of water to be added to 60 lit of milk =1/4*60=15 liters.


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Part B

Q: 1). The average weekly salary per head of the entire staff of a factoryconsisting of supervisors and the laborers is Rs 60. The average salary perhead of the supervisors is Rs 400 and that of the laborers is Rs 56. Given

that the number of supervisors is 12. Find the number of laborers in thefactory.

Answer:

Given:

Average salary of laborer Rs 56

Average salary of supervisors Rs 400

Average salary of entire staff Rs 60

340 4

Number of laborer / Number of Supervisors

= 340/4

= 85/1

Thus, if the number of supervisors is 1, number of laborers = 85.

Therefore if the number of supervisors is 12 number of laborers

85 * 12 = 1020

Q: 2).What is the value of X, if X and Y are two distinct integers and theirproduct is 30?

1) X is an odd integer2) X > Y

Answer:

This is a data sufficiency problem.

The data sufficiency problem consists of a question and two statements,labeled (1) and (2), in which certain data are given. So anyone solving thesetype of problems have to decide whether the data given in the statements aresufficient for answering the question. The answer must indicate whether:


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1) Statement (1) ALONE is sufficient, but statement (2) alone is notsufficient to answer the question asked.

2) Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient to answer the question asked.

3) BOTH statements (1) and (2) TOGETHER are sufficient to answer the

question asked, but NEITHER statement ALONE is sufficient to answerthe question asked.

4) EACH statement ALONE is sufficient to answer the question asked.5) Statements (1) and (2) TOGETHER are NOT sufficient to answer the

question asked, and additional data specific to the problem are needed.

From the question, we know that both X and Y are distinct integers and theirproduct is 30.

30 can be obtained as a product of two distinct integers in the followingmanner:

1 * 30 (-1) * (-30)

2 * 15 (-2) * (-15)

3 * 10 (-3) * (-10)

5 * 6 (-5) * (-6)

Statement 1:

From this statement, we know that the value of X is odd.

Therefore, X can be one of the following values: 1, -1, 3, -3, 5, -5. So, using the

information in statement 1 we will not be able to conclusively decide the valueof X. Hence, statement 1 alone is not sufficient to answer the question.

Statement 2:

From this statement, we know that the value of X > Y.

From the given combinations, X can take more than one value. Hence, usingthe information in statement 2, we will not be able to find the value of X.

Combining the two statements,

We know that X is odd and that the value of X > Y.

Values of X and Y that satisfy both the conditions include X taking the value of-1, -3 and -5.


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The answer is:

The information provided in the two statements independently ortogether are not sufficient to answer the question asked, and additionaldata specific to the problem are needed.

Q: 3).A motorboat, whose speed in 15 km/hr in still water goes 30 kmdownstream and comes back in a total of 4 hours 30 minutes. The speedof the stream (in km/hr) is:

a) 4b) 5c) 6

d) 10

Answer: Option B

Explanation:

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x) km/hr,

Speed upstream = (15 - x) km/hr.

The right option is (b) 5 km/hr


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CASE STUDY

The following pie-charts show the distribution of students of graduate andpost-graduate levels in seven different institutes in a town.

Distribution of students at graduate and post-graduate levels in seveninstitutes:

Q: 1).What is the total number of graduate and post-graduate levelstudents is institute R?

a) 8320b) 7916

c) 9116

d) 8099

Explanation:

Let the total number of graduate and post-graduate students in institution Rbe x,


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x = (17% of 27300) + (14% of 24700)

= ( 0.17 x 27300) + (0.14 x 24700)

= 4641 + 3458

x = 8099

Q: 2). What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?

a) 14 : 19b) 19 : 21c) 17 : 21

d) 19 : 14

Explanation:

Q: 3).How many students of institutes of M and S are studying atgraduate level?

a) 7516b) 8463c) 9127d) 9404

Explanation:

Students of institute M at graduate level= 17% of 27300 = 4641.

Students of institute S at graduate level = 14% of 27300 = 3822.

The total number of students at graduate level in institutes M and S

= 4641 + 3822

= 8463


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Q: 4).What is the ratio between the number of students studying at post-graduate level from institutes S and the number of students studying atgraduate level from institute Q?

a) 13 : 19

b) 21 : 13c) 13 : 8

d) 19 : 13

Explanation:

Q: 5). Total number of students studying at post-graduate level frominstitutes N and P is

a) 5601b) 5944

c) 6669d) 8372

Explanation:

Students of institute N at post-graduate level= 15% of 24700 = 3705.

Students of institute P at post-graduate level = 13% of 24700 = 2964.

The total number of students at post- graduate level in institutes N and P

= 3705 + 2964

= 6669


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Section C

Q: 1). If both 112 and 33 are factors of the number a * 43 * 62 * 1311, thenwhat is the smallest possible value of a?

a) 121b) 3267c) 363 ()d) 33e) None of the above

Q: 2).How many different positive integers exist between 106 and 107, thesum of whose digits is equal to 2?

a) 6b) 7 ()c) 5d) 8e) 18

Q: 3).A number when divided by a divisor leaves a remainder of 24. Whentwice the original number is divided by the same divisor, the remainder is11. What is the value of the divisor?

a) 13b) 59c) 35

d) 37 ()

e) 12

Q: 4).How many keystrokes are needed to type numbers from 1 to 1000?

a) 3001b) 2893 ()c) 2704d) 2890e) None of these

Q: 5).When 242 is divided by a certain divisor the remainder obtained is8. When 698 is divided by the same divisor the remainder obtained is 9.However, when the sum of the two numbers 242 and 698 is divided by thedivisor, the remainder obtained is 4. What is the value of the divisor?

a) 11b) 17c) 13 ()d) 23e) None of these


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Q: 6).How many integral divisors does the number 120 have?

a) 14b) 16 ()c) 12

d) 20e) None of these

Q: 7).How many trailing zeros will be there after the rightmost non-zerodigit in the value of 25!?

a) 25b) 8

c) 6 ()d) 5e) 2

Q: 8).What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by33?

a) 3b) 27

c) 30 ()d) 21e) 18

Q: 9).Data Sufficiency : Is x3 > x2 ?

(1) x > 0

(2) x < 1

Answer:

Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient to answer the question.

Explanation:

The given question is an "Is" question. So, the answer has to be a definite YES

or a definite NO. It cannot be a MAYBE.

Statement (1):x > 0

We know that x is a positive number. If 0 < x < 1, then x 3 < x2.For example, (0.5)3 = 0.125, which is lesser than (0.5)2 = 0.25


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However, if x > 1, then x3 > x2

For example, 23 = 8 which is greater than 22 = 4

NOT Sufficient.

Statement (2):x < 1

For positive values of x, i.e., 0 < x < 1, we know x3 < x2.

For negative values of x, x3 will be a negative number and x2 will be a positivenumber.

Hence, x3 < x2

Hence, if we know that x < 1, we can conclude that x3 < x2.

SUFFICIENT.

Q: 10). Data Sufficiency : Is a terminating decimal?

(1) x is a multiple of 2

(2) y is a multiple of 3

Statements (1) and (2) TOGETHER are NOT sufficient to answer the

question asked, and additional data specific to the problem are needed.

Explanation:

The given question is an "Is" question. So, the answer has to be a definite YESor a definite NO. It cannot be a MAYBE.

Statement (1):x is a multiple of 2

No information on y has been provided.

When x = 2 and y = 1, is terminating.

When x = 2 and y = 3, is non-terminating.

NOT Sufficient.


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Statement (2):y is a multiple of 3

No information on x has been provided.



NOT Sufficient.

Taking (1) and (2) together,



BOTH STATEMENTS ARE INSUFFICIENT

Q: 11). The ratio of the number of boys and girls in a college is 7 : 8. Ifthe percentage increase in the number of boys and girls be 20% and 10%respectively, what will be the new ratio?

a) 8 : 9b) 17 : 18

c) 21 : 22 ()d) Cannot be determined

Q: 12). Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary ofeach is increased by Rs. 4000, the new ratio becomes 40 : 57. What isSumit's salary?

a) Rs. 17,000b) Rs. 20,000c) Rs. 25,500

d) Rs. 38,000 ()

Q: 13). If 0.75 : x :: 5 : 8, then x is equal to:

a) 1.12b) 1.2 ()c) 1.25d) 1.30


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Q: 14). The sum of three numbers is 98. If the ratio of the first tosecond is 2 :3 and that of the second to the third is 5 : 8, then the secondnumber is:

a) 20

b) 30 ()c) 48d) 58

Q: 15). Rs. 782 be divided into three parts, proportional to : : ,then the first part is:

a) Rs. 182b) Rs. 190

c) Rs. 196

d) Rs. 204 ()Q: 16). The salaries A, B, C are in the ratio 2 : 3 : 5. If the incrementsof 15%, 10% and 20% are allowed respectively in their salaries, then whatwill be new ratio of their salaries?

a) 3 : 3 : 10b) 10 : 11 : 20

c) 23 : 33 : 60 ()d) Cannot be determined

Q: 17). If 40% of a number is equal to two-third of another number,what is the ratio of first number to the second number?

a) 2 : 5b) 3 : 7c) 5 : 3 ()d) 7 : 3

Q: 18). The fourth proportional to 5, 8, 15 is:

a) 18

b) 24 ()c) 19d) 20


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Q: 19). Two number are in the ratio 3 : 5. If 9 is subtracted from each,the new numbers are in the ratio 12 : 23. The smaller number is:

a) 27

b) 33 ()

c) 49d) 55

Q: 20). In a bag , there are coins of 25 p , 10 p and 5 p in the ratio of1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

a) 50b) 100

c) 150 ()d) 200

Q: 21). Data Sufficiency : Is the positive integer X divisible by 21?

(1) When X is divided by 14, the remainder is 4


Answer:

EACH statement ALONE is sufficient to answer the question asked.

Explanation


We have to find out if X is divisible by 21.

Any positive integer is divisible by 21 if it is simultaneously divisible by 3 and7.

Statement (1): When X is divided by 14, the remainder is 4

The number is therefore of the form 14k + 4. It will leave a remainder of 4 whendivided by 7.

This number is definitely not divisible by 7.

Hence, X is not divisible by 21.


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SUFFICIENT.


The number X is of the form 15m + 5

The number will therefore, leave a remainder of 2 when divided by 3.

Hence, it definitely not divisible by 3.


SUFFICIENT.


Q: 22). Data Sufficiency : If x and y are positive integers, is y odd?

(1) x is odd.

(2) xy is odd.


Explanation:


Statement (1):x is an odd.

This provides no information about y.

NOT Sufficient.

Statement (2):xy is odd.

This mean both x and y are odd (product of two odd numbers is odd).

SUFFICIENT.



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Q: 23). Data Sufficiency : Is xy < 0?

(1) 5|x| + |y| = 0

(2) |x| + 5|y| = 0


Explanation


Statement (1): 5|x| + |y| = 0

Modules of any real number will always be non-negative.

So, if5|x| + |y| = 0, Then the only possibility is that

x = 0 and

y = 0.

Therefore, xy= 0

or xy is not negative.

SUFFICIENT.

Statement (2): |x| + 5|y| = 0

Modules of any real number will always be non-negative.

So, if|x| + 5|y| = 0, Then the only possibility is that

x = 0 and

y = 0.

Therefore, xy = 0

or xy is not negative.

SUFFICIENT.

EACH statement is independently sufficient to answer the question asked.


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Q: 24). Is the two digit positive integer P a prime number?

(1) (P + 2) and (P - 2) are prime.

(2) (P - 4) and (P + 4) are prime.

Answer:


Explanation

The given question is an "Is" question. So, the answer has to be a definite YES

or a definite NO. It cannot be a MAYBE.

Statement (1): (P + 2) and (P - 2) are prime.

One out of 3 consecutive integers, (P - 2), P , and (P + 2) will definitely be amultiple of "3". If (P - 2) and (P + 2) are prime, then P has to be multiple of "3"which is not a prime. The only exception is if the 3 consecutive odd numbersare 3 , 5 and 7. However, we are dealing with two digit positive integers.

SUFFICIENT.

Statement (2): (P - 4) and (P + 4) are prime.

One out of 3 consecutive integers, (P - 4), P , and (P + 4) will definitely be a

multiple of "3". If (P - 4) and (P + 4) are prime, then P has to be multiple of "3"which is not a prime. The only exception is if the 3 consecutive odd numbersare 5 , 7 and 11. However, we are dealing with two digit positive integers.

SUFFICIENT.

EACH statement is independently sufficient to answer the question asked.

Q: 25). Data Sufficiency : A set S contains the following elements: {7,11, 15, 19, 23, x}. What is the value of x?

(1)The elements are in arithmetic progression

(2) x is prime

Answer:

Statements (1) and (2) Taken TOGETHER are sufficient to answer thequestion asked.


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Explanation:

Statement 1: The elements are in arithmetic progression.

So, x could either be 3 or 27.

INSUFFICIENT.

Statement 2: x is prime

x could be any prime number.

INSUFFICIENT

Combining the two statements, we know that x could take only two values from

statement 1. viz., 3 or 27; from statement 2 we know that x is prime. 3 is the

only value that satisfies both the conditions.

Q: 26). Data Sufficiency : Is the positive integer X divisible by 21?



Answer:


Explanation


We have to find out if X is divisible by 21.

Any positive integer is divisible by 21 if it is simultaneously divisible by 3 and7.


The number is therefore of the form 14k + 4. It will leave a remainder of 4 when

divided by 7.

This number is definitely not divisible by 7.



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SUFFICIENT.


The number X is of the form 15m + 5

The number will therefore, leave a remainder of 2 when divided by 3.

Hence, it definitely not divisible by 3.


SUFFICIENT.


Q: 27). If m, s are the average and standard deviation of integers a, b,c, and d, is s > 0?

(1) m > a

(2) a + b + c + d = 0

Answer:


Explanation

S will be zero only in two instances:

(i) when all the elements in the set are the same, or

(ii) the set contains only one element, which in this case is not possible.

So, we need to check whether a, b, c, and d are the same integers.

Statement (1): m > a

The average will be equal to a, b, c, and d only when a = b = c = d. Since m > a,all the elements in the set cannot be the same, and therefore, s > 0.

SUFFICIENT

Statement (2): a + b + c + d = 0


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When a = b = c = d = 0, s = 0

When a = -4, b = 0, c = 0, and d = 4, s > 0

NOT sufficient


Q: 28). What is the speed of the train whose length is 210 metres?

I. The train crosses another train (Howrah Express/12869) of 300 metreslength running in opposite direction in 10 seconds.II. The train crosses another train (Howrah Express/12869) running in thesame direction at the speed of 60 km/hr in 30 seconds.

a) I alone sufficient while II alone not sufficient to answerb) II alone sufficient while I alone not sufficient to answerc) Either I or II alone sufficient to answerd) Both I and II are not sufficient to answere) Both I and II are necessary to answer

Q: 29). What is the length of a running train crossing another 180metre long train running in the opposite direction?

I. The relative speed of the two trains was 150 kmph.II. The trains took 9 seconds to cross each other.

a) I alone sufficient while II alone not sufficient to answer

b) II alone sufficient while I alone not sufficient to answerc) Either I or II alone sufficient to answerd) Both I and II are not sufficient to answer

e) Both I and II are necessary to answer ()

Q: 30). What is the length of a running train?

I. The train crosses a man in 9 seconds.II. The train crosses a 240 metre long platform in 24 seconds.

a) I alone sufficient while II alone not sufficient to answer

b) II alone sufficient while I alone not sufficient to answerc) Either I or II alone sufficient to answerd) Both I and II are not sufficient to answer

e) Both I and II are necessary to answer ()


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The following bar chart shows the trends of foreign direct investments(FDI) into India from all over the world.

Trends of FDI in India

Q: 31). What was the ratio of investment in 1997 over the investmentin 1992 ?

a) 5.50 ()b) 5.36c) 5.64

d) 5.75

Q: 32). What was absolute difference in the FDI to India in between1996 and 1997 ?

a) 7.29b) 7.13 ()c) 8.13d) None of these

Q: 33). If India FDI from OPEC countries was proportionately the

same in 1992 and 1997 as the total FDI from all over the world and if theFDI in 1992 from the OPEC countries was Euro 2 million. What was theamount of FDI from the OPEC countries in 1997 ?

a) 11 ()b) 10.72c) 11.28d) 11.5


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Q: 34). Which year exhibited the highest growth in FDI in India overthe period shown ?

a) 1993

b) 1994

c) 1995d) 1996 ()

Q: 35). What was India's total FDI for the period shown in the figure ?

a) 93.82 ()b) 93.22c) 93.19

d) None of these

The following chart represents the number of students who passed the

CAT exam or the XAT exam or the CET exam or None of these exams.(Assume that there are no students who passed more than one exam.)

Number of students who qualified CAT/XAT/CET Exams

Q: 36). Which year showed the best result in MBA entrance exams (interms of percentage of students who cleared) ?

a) 2000

b) 2001 ()c) 2002d) Cannot be determined


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Q: 37). What was the percentage of students who succeeded in at leastone of three exams in 2000 ?

a) 82.4 %

b) 82.8 %

c) 82.35 % ()d) 83.3 %

Q: 38). What is the percentage increase in the number of students in2002 over 2000 ?

a) 30 %b) 17.64 % ()c) 117.6 %d) 85 %

Q: 39). What is the percentage of students who cleared CAT in 2000 ?

a) 19.56 %b) 12.65 %c) 14.28 %d) 11.76 % ()

Q: 40). 5Kg of rice at Rs 6 per Kg is mixed with 4 Kg of rice to get amixture costing Rs 7 per Kg. Find the price of the costlier rice?

a) 8.25 ()

b) 6.75c) 5.25d) 7.25

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