KRISHNA MOHAN

Friday, 28 July 2017

Quant Quiz

Directions for questions 1 to 5: A test paper contains 50 questions. 4 marks are awarded for every correct answer and one mark is deducted for every wrong answer. Aryan, Bunny, Chetana and Divya appeared for this test and their scores are given in the following table. Further it is also known that Divya has scored the maximum marks. Complete the following table and answer the questions that follow.

1.Who answered the second highest number of questions correctly(No two students answered same number of questions correctly)?

(a) Aryan

(b) Bunny

(d) Divya

(e) Cannot be determined

2.Who answered the maximum number of questions incorrectly?

(a) Aryan

(b) Bunny

(d) Divya

(e) Cannot be determined

3.If all the questions attempted by Divya are not correct, then which of the following can be the score of Divya?

(a) 189

(b) 188

(d) 191

(e) Cannot be determined

4.If the average score of all the four students is a multiple of 5, then what is the total number of correct answers by all the four?

(a) 157

(b) 167

(d) 146

(e) Cannot be determined

5.If Divya got 4th rank among the four students with the maximum possible marks then what could be the maximum number of questions she attempted?

(a) 15

(b) 47

(d) 46

(e) Cannot be determined

Answers with explanation:

Directions for questions 1 to 5: Following is the complete chart:

1.Choice (c)

2.Choice (a)

3.Choice (d)

Since Divya scored maximum marks, hence his score is more than 187, but note that she cannot score all the scores more than 187, there are only some scores which she can score.

Thus only a score of 191 is possible.

4.Choice (a)

For being the average a multiple of 5 Divya must attempt 48 questions and also all of them must be correct. So total correct questions by four becomes = 16 + 46 + 47 + 48 = 157.

5.Choice (d)

In order to get maximum marks with lowest rank,Divya must score 59 with maximum attempts. Which could be realized by the equation 4x – y = 59. Which satisfies for x = 21 and y = 25. Hence the maximum question that he could attempt is 46.

Directions for questions 6 to 10: A team of 5 players A, B, C, D and E participated in a tournament and played four matches (1 to 4). The following table gives partial information about their individual scores and the total runs scored by the team in each match.

Each column has two values missing. These are the runs scored by the two lowest scorers in that match. None of the two missing values is more than 10% of the total runs scored in that match.

6.What is the maximum possible percentage contribution of A in the total runs scored in the four matches?

(a) 19.7%

(b) 19.9%

(d) 20.2%

(e) Cannot be determined

7.What is the maximum possible percentage contribution of E in the total runs scored in the four matches?

(a) 18.2%

(b) 19.9%

(d) 20.2%

(e) Cannot be determined

8.If the absolute difference between the total runs scored by A and C in the four matches is minimum possible then what is the ratio of A and C’s total runs scored by them in the four matches.

(a) 187:189

(b) 189:187

(d) 189:188

(e) Cannot be determined

9.If the absolute difference between the total runs scored by A and C in the four matches is minimum possible then what is the absolute difference between total runs scored by B and E in the four matches?

(a) 32

(b) 37

(d) 27

(e) Cannot be determined

10.The players are ranked 1 to 5 on the basis of the total runs scored by them in the four matches, with the highest scorer getting Rank 1. If it is known that no two players scored the same number of total runs, how many players are there whose ranks can be exactly determined?

(a) 0

(b) 1

(d) 5

(e) Cannot be determined

Answers with explanation:

6.Option (a)

Maximum possible runs scored by A in Match-1 = 27

Maximum possible runs scored by A in Match-3 = 19

Maximum possible percentage contribution:

(27+100+19+53)/(270+300+240+200)x100% = 199/1010x100% = 19.7%

7.Option (c)

Maximum possible runs scored by E in Match-2 = 30

Maximum possible runs scored by E in Match-4 = 20

Maximum possible percentage contribution:

(60+30+78+20)/(270+300+240+200)x100%

= 188/1010x100% = 18.6%

8.Option (b)

Maximum possible total runs scored by C in the four matches

= 27 + 30 + 110 + 20 = 187.

In such a case minimum possible total runs scored by A in the four matches = 23 + 100 + 13 + 53 = 189

Difference = 189 – 187 = 2 (minimum possible)

So Required ratio is 189:187

9.Option (b)

Maximum possible total runs scored by C in the four matches

= 27 + 30 + 110 + 20 = 187.

In such a case minimum possible total runs scored by A in the four matches

= 23 + 100 + 13 + 53 = 189.

Difference = 189 – 187 = 2 (minimum possible) Subsequently total runs scored by B in the four matches

= 88 + 65 + 19 + 52 = 224.

Also, total runs scored by E in the four matches

= 60 + 30 + 78 + 19 = 187

Absolute difference = 224 – 187 = 37

10.Option (c)

Individual ranges for total score:

A-> 189-199

B-> 218-224

C-> 182-187

D-> 223

E-> 187-188

Least total will be of C (Rank 5)

2nd least will be E (Rank 4)

Rank 3 must be of A.

It is not possible to determine the exact ranks of B and D.

Quant Quiz

Directions (Q. 1 - 5): Study the following pie-charts carefully to answer the questions that follow:

1. What is the amount spent on clothing?

1) Rs. 7500

2) Rs. 6000

3) Rs. 9500

4) Rs. 8000

5) Rs. 4000

2. How much the family spends on education and electricity together?

1) Rs. 13500

2) Rs. 15000

3) Rs. 14000

4) Rs. 11500

5) Rs. 16000

3. What is the amount spent on entertainment?

1) Rs. 5000

2) Rs. 4000

3) Rs. 4050

4) Rs. 3500

5) Rs. 3050

4. What is the amount invested in stock?

1) Rs. 8000

2) Rs. 6425

3) Rs. 7425

4) Rs. 6500

5) Rs. 5455

5. What is the amount spent from grocery?

1) Rs. 8500

2) Rs. 10500

3) Rs. 9500

4) Rs. 10000

5) Rs. 11500

Direction (Q. 6-10): Study the following table carefully to answer the questions that follow:

6. What was the percentage of unsold toys of type C in 2002? (approx)

1) 20%

2) 30%

3) 22%

4) 17%

5) 18%

7. What is the approx percentage of unsold toys of type B in 2004?

1) 16%

2) 25%

3) 30%

4) 35%

5) 20%

8. What is the average number of toys produced through all the year of all types?

1) 1412.5

2) 1612.5

3) 328.12

4) 1210.5

5) 1312.5

9. What is the average number of toys sold through all the years of all types?

1) 242.65

2) 930.5

3) 970.5

4) 910.5

5) 200.25

10. What is the average number of toys sold by A in 2002 and manufactured by D in 2003?

1) 300.5

2) 302.5

3) 289.5

4) 400

5) 150.5

Answers:

1. 3

2. 3

3. 3

4. 3

5. 4

6. 3

7. 3

8. 5

9. 3

10. 2

Quant Quiz

Directions (Q.1-5): The following pie chart represents a total expenditure of Rs. 420000 on different items in constructing a flat in a town. Study the pie chart and answer the questions.

1.The expenditure (in Rs.) on bricks is

(1) 75000

(2) 67500

(3) 150000

(4) 70000
(5) None of these

2.The expenditure on bricks is less than the expenditure on timber (in Rs.) by

(1) 10000

(2) 12500

(3) 35000

(4) 65000
(5) None of these

3.The percentage of the total expenditure spent on steel and cement is

(1) 33.23%

(2) 25%

(3) 33 1/3%

(4) 30%
(5) None of these

4.Which is the item of maximum expenditure?

(1) Cement

(2) Steel

(3) Timber

(4) Labour and Timber both
(5) None of these

5.The expenditure (in Rs.) on cement is

(1) 75000

(2) 90000

(3) 135000

(4) 87500
(5) None of these

Directions for 6 to 10: The percentage of revenue that come from the four different product segments for a diversified manufacturing company are shown in the following pie-chart Figures pertaining to the year 2008 and 2010 are given on the right hand side. The total sales in the year 2008 were Rs. 120 crores. It was Rs. 195 crores in 2010.

6. Which product segment has registered the maximum percentage growth in revenue during the two year period?

(1) Textile

(2) Cement

(3) Soda

(4) Others
(5) Cannot be determined

7. Which of the following statements is correct about the company?

(1) The company is putting less focus on the ‘other’ segment.

(2) Cement segment has registered more percentage growth than the textile segment.

(3) The soda segment has registered a 7% growth per annum during the above two year period.

(4) Both (2) and (3)
(5) None of these

8. What is the annualized percentage growth in revenue for the ‘Others’ segment?

(1) –9.86%

(2) –9.37%

(3) 12.34%

(4) –18.75%
(5) None of these

9. If the textile segment continues the current trend in growth rate, then how much sales will company generate from textile segment in the year 2012? Choose the answer that is closest to the correct answer.

(1) Rs. 139 Crores

(2) Rs. 126 Crores

(3) Rs. 146 Crores

(4) Rs. 109 Crores
(5) None of these

10. What is the annualized percentage growth of revenue that the cement segment has registered for the company?

(1) 134%

(2) 34%

(3) 52.9%

(4) 67%
(5) None of these

Quant Quiz

1. When two is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number.

(a) 40

(b) 50

(d) 70
(e) none of these

2. The monthly incomes of P and Q are in the ratio 4:3 and their monthly expenditures are in the ratio of 6:5.

The monthly savings of P and Q are in the ratio 3:1. The monthly savings of P is Rs. 2500 more than twice the monthly savings of Q.

Find the monthly expenditure of P.

(a) Rs. 35000

(b) Rs. 37500

(d) Rs. 31500
(e) none of these

3. In a jar, there are 15 white marbles and 35 green marbles. Find the number of green marbles to be removed from-
the jar so that 40% of its marbles are green (Assume that the marbles in the jar are all either white or green).

(a) 20

(b) 25

(d) 15
(e) none of these

4. A shopkeeper sold an article at 26% profit after giving a 30% discount.
Had he not offered any discount, his profit percentage would have been …………….

(a) 60%

(b) 75%

(d) 90%
(e) none of these

5. A cetain sum yields Rs. 840 more interest if it is invested at 18% p.a. than at 12% p.a. for two years. Find the sum.

(a) Rs. 7000

(b) Rs. 85000

(d) Rs. 7500
(e) none of these

6. The average score of a class of 60 students in a test is 55. If the score of the highest scorer and that of the least scorer are excluded,

the average score of the class would decrease by 1. The score of the highest scorer is 88 more than that of the least scorer.
Find the score of the lease scorer.

(a) 40

(b) 43

(d) 46
(e) none of these

7. E, F and G can complete a job in 20 days, 30 days and 40 days respectively. All of them started the job together.
Six days before the completion of the job, E left. F and G completed the remaining part of the job together.
Find the total time taken to complete the job.

(a) 10 days

(b) 15 days

(d) 9 days
(e) none of these

8. A tank has three pipes P, Q and R. P can fill it in 2 hours. Q and R can empty it in 4 hours and 6 hours respectively.

All the pipes were opened at 9 a.m. Q was closed at 10 a.m and R was closed at 11 a.m. Find the time when the tank would be filled.

(a) 11 : 40 a.m

(b) 12 : 20 p.m

(d) 12 : 10 p.m
(e) none of these

9. When Anil walked from his home to his school at 3 km/ hr, he reached his school 9 minutes late.

When he walked (from his home to his school) at 5 km/hr, he reached his school 11 minutes early. Find the distance from his home to his school.

(a) 2. 5 km

(b) 1.5 km

(d) 3 km
(e) none of these

10. Antony, Ben and Charles enter into a business with investments in the ratio of 3: 4: 6. At the end of one year,

they shared the profiles in the ratio of 6 : 4 : 3. Find the ratio of the respective time periods for which they invested.

(a) 1 : 2 : 4

(b) 4 : 2 :1

(d) 1 : 4 :2
(e) none of these

Answers:

Quant Quiz

Directions (Q. Now. 1-5): Study the following graph carefully and answer the questions that follow.

Per cent rise in profit of two companies A and B from the year 1994 to 1999

1. If the profit earned by company A in the year 1995 was Rs. 1.96 lakh, what was the profit earned by the company in the years 1996?

(a) Rs. 2.12 lakh

(b) Rs. 2.45 lakh

(d) Cannot be determined

(e) None of the above

2. Which of the following statements is true with respect to the above graph?

(a) Company B made the highest profit in the year 1999

(b) Company A made the least profit in the year 1995

(c) The ratio of the profits earned by company A and company B in the year 1996 was 6 : 5
(d) Company A made the highest profit in the year 1998

(e) All of the above

Sol. (a);

According to the graph, it is clear that the profit of companies A and B increased every year.

Minimum profit in the year 1994 and maximum profit in the year 1999 by both companies.

Ratio cannot be determined because numerical values are not given.

So, only Statement A is true.

3. What was the percentage increase in per cent rise in profit of company B in the year 1999 from the previous year?

(a) 25

(b) 15

(d) 75

(e) None of the above

4. If the profit earned by company B in the year 1998 was Rs. 4.56 lakh, what was the amount of profit earned by it in the year 1996?

(a) Rs. 2.16 lakh

(b) Rs. 3.04 lakh

(c)Rs. 2.42 lakh

(d) Cannot be determined

(e) None of the above

5. What was the average per cent rise in profit of company A over all the years together?

Directions (Q. 6-10) Study the following graph carefully and answer the questions that follow.

Runs scored by three different teams in five different cricket matches

6. Total runs scored by India and South Africa in Match 4 together is approximately, what percentage of the total runs scored by Sri Lanka in all the five matches together?

(a) 42

(b) 18

(d) 24

(e) 28

7. In which match, is the difference between the runs scored by South Africa and Sri Lanka second lowest?

(a) 1

(b) 2

(d) 4

(e) 5

Sol. (c);

Difference between the runs scored by

South Africa and Sri Lanka in

Match 1 = 260 – 160 = 100

Match 2 = 330 – 180 = 150

Match 3 = 310 – 230 = 80

Match 4 = 270 – 220 = 50

Match 5 = 300 – 150 = 150

∴Second lowest difference in Match 3.

8. In which match the total runs scored by India and Sri Lanka together is the third highest/lowest?

(a) 1

(b) 2

(d) 4

(e) 5

Sol. (a);

Total runs scored by India and Sri Lanka in

Match 1 = 320 + 160 = 480

Match 2 = 240 + 180 = 420

Match 3 = 270 + 230 = 500

Match 4 = 190 + 270 = 460

Match 5 = 220 + 300 = 520

∴Third highest/lowest score in Match 1.

9. What is the respective ratio between the runs scored by India in Match, 5 South Africa in Match 1 and Sri Lanka in Match 2?

(a) 11 : 13 : 7

(b) 11 : 7 : 13

(d) 11 : 13 : 9

(e) None of the above

Sol. (d);

Required ratio

= 220 : 260 : 180 = 11 : 13 : 9

10. What are the average runs scored by all the three teams in Match 3 together?

(a) 280

(b) 270

(d) 285

(e) None of the above

KRISHNA MOHAN

Pages

Friday, 28 July 2017

Quant Quiz

Quant Quiz

Quant Quiz

Quant Quiz

Quant Quiz

Quant Quiz

Total Pageviews