SBI Clerk Mains Quantitative Aptitude (Day-27)

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Missing Data Interpretation

Directions (1 – 5): Study the following information carefully and answer the given questions.

The following table shows the number of pens (In lakhs) produced and sold by three different companies in 5 different years.

1) If the total number of pens sold by company M and N in the year 2013 is 400 and the number of pens sold by company N in 2014 is 200 more than pens sold by the same company in 2013, then find the number of pens produced by company N in 2014?

A) 730 lakhs

B) 400 lakhs

C) 855 lakhs

D) 615 lakhs

E) 550 lakhs

2) If the ratio of the number of pens sold by company M in 2015 to that in 2016 is 8: 17, then find the percentage of pens were sold by company M in 2016?

A) 18 %

B) 22.5 %

C) 25 %

D) 30.5 %

E) 35 %

3) If company O produced ‘x’ number of pens in 2013 and ‘x + 200’ number of pens in 2015 and the total number of pens sold by company O in these years is 630 lakhs, then find the number of pens were sold by O in 2015?

A) 200 lakhs

B) 250 lakhs

C) 480 lakhs

D) 300 lakhs

E) 350 lakhs

4) Company N has produced 900 lakhs pens in 2016 and the number of pens sold by the same company in 2013 is 10 % more than number of pens sold by the company in 2016, then find number of pens produced by the same company in 2014 if the number of pens sold by company N in 2013 and 2014 is in the ratio of 9 : 8?

A) 200 lakhs

B) 400 lakhs

C) 480 lakhs

D) 660 lakhs

E) 350 lakhs

5) If the average number of pens sold by company M in 2012, 2013 and 2014 are 200 lakhs, then the production of company M in 2014 is what percentage of the total production of company N in 2015?

A) 90 %

B) 80 %

C) 75 %

D) 65 %

E) 55 %

Data Sufficiency

Directions (6 – 10): Following questions contain two statements as statement I and statement II. You have to determine which statement/s is/are necessary to answer the question and give answer as,

a)  The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

b)The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

c)The data either in statement I alone or in statement II alone is sufficient to answer the question

d)The data given in both statements I and II together are not sufficient to answer the question and

e)The data given in both statements I and II together are necessary to answer the question.

6)  The sum of the present ages of Anu, Bala, Kavin and Dany is 84 years. What is Bala’s present age?

Statement I: The average age of Anu, Bala and Dany is 25 years.

Statement II: The average age of Kavin and Dany is 30 years.

7) What is the value of y?

Statement I: 4y + 3x = 18

Statement II: y – x = 2y – (3 + x)

8)  What is the speed of boat in still water?

Statement I: The boat travels at the speed of 3 kmph upstream.

Statement II: The boat travels at the speed of 5 kmph downstream.

9) What is the percent profit earned by selling a bike for Rs.80000?

Statement I: The amount of profit earned on selling the bike was Rs.40000.

Statement II: The selling price of the bike was twice the cost price.

10) Total marks obtained by A, B, C and D in science is 240. How many marks did A secure in science?

Statement I: A secured two-third of the marks of total of B, C and D.

Statement II: Average marks obtained by B and C are 10 more than that secured by D.

Answers :

Directions (1-5) :

1) Answer: C

Number of pen sold by company N in 2013

= > 400 – 600*(43/100)

= > 400 – 258 = 142 lakhs

Number of pen sold company N in 2014 = 142 + 200 = 342 lakhs

Number of pen produced by company N in 2014

= > 342*100/40 = 855 lakhs

2) Answer: B

Number of pens sold by company M in 2015

= > 480*15/100= 72 lakhs

Number of pens sold by company M in 2016

= > 72*17/8 = 153 lakhs

Required percentage = (153/680)*100 = 22.5 %

3) Answer: C

Number of pens sold in 2013

= > x*15/100 + (x+200)*40/100 = 630

= > 15x/100 + 40x/100 + 80 = 630

= > (15x+ 40x)/100 = 630 – 80

= > 55x = 550*100

= > x = 1000 lakhs

Number of pens sold in 2015 = (1000+200)*(40/100) = 480 lakhs

4) Answer: D

Number of pens sold by company N in 2016 = 900*(30/100) = 270 lakhs

Number of pens sold by company N in 2013 = 270*(110/100) = 297 lakhs

Number of pens sold by company N in 2014 = 297*8/9 = 264 lakhs

Number of pens produced by company N in 2014

= > 264*(100/40) = 660 lakhs

5) Answer: B

Total pens sold by company M in 2012, 2013 and 2014 together

= > 200*3= 600 lakhs

Number of pens sold by company M in 2014

= > 600 – [(60/100)*450 + (43/100)*600]

= > 600 – 270 – 258 = 72 lakhs

Number of pens produced by company M in 2014 = 72*(100/20) = 360 lakhs

Required percentage = (360/450)*100 = 80%

Directions (6-10) :

6) Answer: D

Anu + Bala + Kavin + Dany = 84

From I,

Anu + Bala + Dany = 25 * 3 = 75

Kavin = 84 – 75 = 9 years

This statement is not sufficient to answer the question.

From II,

Kavin + Dany = 30 * 2 = 60

From I and II,

Anu + Bala + Dany = 25 * 3 = 75

Kavin = 84 – 75 = 9 years

Kavin + Dany = 30 * 2 = 60

Dany = 60 – 9 = 51 years

This statement is not sufficient to answer the question.

Hence, both statements I and II together are not sufficient to answer the question.

7) Answer: B

From I,

4y + 3x = 18

=> y = (18 – 3x)/4

This statement is not sufficient to answer the question.

From II,

y – x = 2y – (3 + x)

=> y – x = 2y – 3- x

=> y = 3

This statement is sufficient to answer the question.

Hence, statement II alone is sufficient to answer the question.

8) Answer: E

Speed of the boat in still water = ½ * (Downstream speed + Upstream speed)

From I,

Upstream speed = 3 kmph

This statement is not sufficient to answer the question.

From II,

Downstream speed = 5 kmph

This statement is not sufficient to answer the question.

From I and II,

Speed in still water = (3 + 5)/2 = 4 kmph

Hence, both statements I and II together are necessary to answer the question.

9) Answer: C

From I,

C.P = S.P – Profit = 40000

Profit % = (S.P – C.P)/C.P * 100

= 40000/40000 * 100 = 100%

This statement is sufficient to answer the question.

From II,

C.P = S.P/2 = 80000/2 = 40000

Profit % = 40000/40000 * 100 = 100%

This statement is sufficient to answer the question.

Hence, statement I alone or statement II alone is sufficient to answer the question.

10) Answer: A

A + B + C + D = 240

From I,

A = 2/3 * (B + C + D) = 2/3 * (240 – A)

3A = 2 * 240 – 2A

5A = 480

A = 96

This statement is sufficient to answer the question.

From II,

This statement is not sufficient to answer the question.

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