Instructions

Study the sector wise sales of a group of companies for the financial year 2004 - 2005 and answer the following questions.

Question 41

This group of companies operates in multiple sectors. The holding company has decided to closely monitor minimum number of sectors (not exceeding 5) contributing together a major part (at least 80%) of sales of the group. Identify the correct set of sectors

Video Solution

Solution

Engineering, Material, Services and CIS contributes around 81% of market share.

Question 42

The average profit against the sales across the sectors is 10% while the profit margin of engineering is 12% and CIS, 20%. What is the average profit across the remaining sectors?

Video Solution

Solution

Let us represent the sales revenue in terms of 'k'.

Total sales revenue = 100k

Sales revenue from Engineering = 31k

Sales revenue from CIS = 19k

Remaining revenue from other sectors = 50k

Profit margin = Profit/Revenue

Let the profit margin of remaining sectors be x%.

So the eqn is:

10*100k = x*50k + 12*31k + 20*19k

after cancelling 'k' from both sides, we get:

=> x = 4.94% (answer)

Instructions

Each question given below is followed by three statements. Study the question and
the statements. Identify which option is necessary to answer the question.

Question 43

The mean temperature of Monday to Wednesday was 37 degree Celsius and of Tuesday to Thursday was 34 degree. What was the temperature on Thursday?
I. The temperature on Thursday was $$\frac{4}{5^{th}}$$ that of Monday.
II. The mean temperature of Monday and Thursday was 40.5 degree Celsius.
III. The difference between the temperature on Monday and that on Thursday was 9 degree Celsius.

Video Solution

Solution

Let the temperature on Monday, Tuesday, Wednesday and Thursday be a,b,c and d respectively

It is given that a+b+c = 3*37 = 111...(I)

and b+c+d = 3*34 = 102 ... (II)

Using statement (I) alone we get $$d\ =\ \ \frac{\ 4}{5}a$$. Which can be put in eqn (I), after which we can obtain the value of d

Using statement (II) alone we can add eqn(I) and eqn(II) to get value of b+c and it can be used to get value of d from eqn(II)

Using statement (III) alone we a-d = 9 which can be obtained by eqn(I) and (II) and n hence no new information is given. Statement (III) is no sufficient to get the required answer.

Question 44

What will be the sum of two numbers?
I. Among the two numbers, the bigger number is greater than the smaller number by 6.
II. 40 % of the smaller number is equal to 30 % of the bigger number.
III. The ratio of half of the bigger number to one third of the smaller number is 2 : 1.

Video Solution

Solution

Case 1 : I and II

Let smaller number be x => bigger number = x+6

$$\frac{40}{100}\cdot x=\frac{30}{100}\left(x+6\right)$$

=> x=18 , Sum of bigger and smaller number = 42

Case 2 : I and III

Let smaller number be x => bigger number = x+6

$$\frac{\left(x+6\right)}{2}\cdot\frac{3}{x}=\frac{2}{1}$$

On solving , x=18 . So sum = 42

Case 3 : II and III

Only the ratio between bigger and smaller number can be found out

Question 45

A tank is fitted with two taps A and b: In how much time will the tank be full if both the taps are opened together?
I. A is 50% more efficient than B
II. A alone takes 16 hours to fill the tank
III. B alone takes 24 hours to fill the tank

Video Solution

Solution

Let total work to be done is 48 units

Case 1 : I and II

A takes 16 hours => B=24 hours (since A is 50 percent more efficient than B)

A does 3 units/hour

B does 2 units/hour

Total per day work = 5 units

Total time taken = 48/5 hr

Case 2 : I and III

B takes 24 hours => A = 16 hours (since A is 50 percent more efficient than B)

Together they take = 48/5 hours

Case 3 : II and III

B takes 24 hours

A takes 16 hours

Together they take = 48/5 hours

Question 46

What is the principal sum?
I. The interest amount after 30 months is half the interest amount after 5 years.
II. The sum amounts to Rs 750 in a five years at simple interest rate
III. The rate of interest is 8% p.a.

Video Solution

Solution

A=$$P\left(1+\frac{TR}{100}\right)$$

From 2 and 3 , A= 750 , T=5 and R=8

P can be found out by substituting these values in the above equation.

Instructions

Study the weekly data table and daily data graph for Toya Motors share prices at the National Stock Exchange and answer the following questions. Toya Motors NSE Share prices for 3 months.

Question 47

What is the average share price for 10/8/2005 to 12/9/2005?

Video Solution

Solution

Average of share price for 10/8 to 12/9 is $$\ \frac{\ 483+475+467+513}{4}$$ = 483

Question 48

The drop in the sales price during October 2005 is approximately

Video Solution

Solution

Price at end of September (near to beginning of october)= 535

Price at the end October = 461

$$% decrease$$ = $$\frac{535-461\ }{535}\times\ 100\%$$

= $$13.83$$%

10% is the closest option

Question 49

How many times during this 3-month period the share price dropped in the graph?

Video Solution

Solution

From the given graph, we can observe that the share price dropped 17 times in the given period.

Hence, the answer is option B.

Question 50

If you purchased 100 shares on 31/8/2005 and sold them on 10/10/2005 what will be your gains?

Video Solution

Solution

Money spent to buy 100 shares on 31/08 is 100*461 = 46,100

Money Recieved after selling 100 shares on 10/10 = 538*100 = 53,800

Overall profit = 53,800-46,100 = 7,700

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SNAP 2006 Question Paper

This group of companies operates in multiple sectors. The holding company has decided to closely monitor minimum number of sectors (not exceeding 5) contributing together a major part (at least 80%) of sales of the group. Identify the correct set of sectors

The average profit against the sales across the sectors is 10% while the profit margin of engineering is 12% and CIS, 20%. What is the average profit across the remaining sectors?

What will be the sum of two numbers?
I. Among the two numbers, the bigger number is greater than the smaller number by 6.
II. 40 % of the smaller number is equal to 30 % of the bigger number.
III. The ratio of half of the bigger number to one third of the smaller number is 2 : 1.

A tank is fitted with two taps A and b: In how much time will the tank be full if both the taps are opened together?
I. A is 50% more efficient than B
II. A alone takes 16 hours to fill the tank
III. B alone takes 24 hours to fill the tank

What is the principal sum?
I. The interest amount after 30 months is half the interest amount after 5 years.
II. The sum amounts to Rs 750 in a five years at simple interest rate
III. The rate of interest is 8% p.a.

What is the average share price for 10/8/2005 to 12/9/2005?

The drop in the sales price during October 2005 is approximately

How many times during this 3-month period the share price dropped in the graph?

If you purchased 100 shares on 31/8/2005 and sold them on 10/10/2005 what will be your gains?

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