Q1. A man gave 50% of his savings of Rs. 84,100 to his wife and divided the remaining sum among his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was

Rs. 20,000

Rs. 20,050

Rs. 22,000

Rs. 22,050

None of these

Q2. Average age of A, B and C is 84 years. When D joins them, the average age becomes 80 years. A new person, E, whose age is 4 years more than D, replaces A and the average of B, C, D and E becomes 78 years. What is the age of A ?

50 years

60 years

70 years

80 years

None of these

Q3. The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. The simple interest on the same sum at the same rate and for the same time is

Rs. 400

Rs. 300

Rs. 350

Rs. 405

None of these

Q4. The population of vultures in a particular locality is decreases by a certain rate. If the current population of vultures be 29160 and the ratio of decrease in population for second year and 3rd year be 10 : 9. What was the population of vultures 3 years ago?

30000

35000

40000

50000

None of these

Q5. Tap A can fill a water tank in 25 minutes, tap B can fill the same tank in 40 minutes and tap C can empty the tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?

3 (2/13)

15 (5/13)

8 (2/13)

31 (11/19)

None of these

SOLUTIONS

1.A

2.D

3.A

4.C

5.D

6.A

7.D

8.C

9.B

10.C

11.A

12.D

13.C

14.E

15.E

Rs. 20,000

Rs. 20,050

Rs. 22,000

Rs. 22,050

None of these

Q2. Average age of A, B and C is 84 years. When D joins them, the average age becomes 80 years. A new person, E, whose age is 4 years more than D, replaces A and the average of B, C, D and E becomes 78 years. What is the age of A ?

50 years

60 years

70 years

80 years

None of these

Q3. The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. The simple interest on the same sum at the same rate and for the same time is

Rs. 400

Rs. 300

Rs. 350

Rs. 405

None of these

Q4. The population of vultures in a particular locality is decreases by a certain rate. If the current population of vultures be 29160 and the ratio of decrease in population for second year and 3rd year be 10 : 9. What was the population of vultures 3 years ago?

30000

35000

40000

50000

None of these

Q5. Tap A can fill a water tank in 25 minutes, tap B can fill the same tank in 40 minutes and tap C can empty the tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?

3 (2/13)

15 (5/13)

8 (2/13)

31 (11/19)

None of these

Directions (6-10): Given below are the two pie charts. First Pie chart shows the percentage distribution of a man total income for seven year from year 2009 to 2015

Second pie chart shows the percentage distribution of his total expenditure from year 2009 to 2015

Note → Income = Expenditure + Profit

Ratio between total income and total expenditure for seven year is 91 : 73

Difference between income and expenditure in 2011 is 300.

Q6. Profit earned by man in year 2011 and 2012 together is what percent less or more than the profit earned by man in year 2014 and 2015 together.

25/3%

100/3%

16 (2/3)%

100/14%

None of these

Q7. What is the ratio of maximum profit for any year to the maximum loss for any year, if income = expenditure – loss?

3 : 5

04 : 5

2 : 1

7 : 6

6 : 1

Q8. Average of income for year 2011, 2014 and 2015 is what percent more or less than the average of expenditure for years 2010 2013 and 2015?

28%

29%

30.5%

31.5%

28.5%

Q9. If income in year 2016 is decreased by 33 ⅓% as compared to previous year and ratio of expenditure for year 2015 and 2016 is 9 : 5 then profit in year 2016 changes by what percent as compared to previous year?

21 (1/2)%

16 (2/3)%

33 (1/3)%

8 (1/3)%

None of these

Q10. For some years, expenditure of person is more than the income of the person then sum of difference between expenditure and income for those years is what approximate percent of sum of difference between Income and expenditure for remaining years.

28%

32%

38%

26%

42%

Direction (11-15): Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer.

Q11. I. 99x² + 149x + 56 = 0

II. 156y² + 287y + 132 = 0

if x > y

if x ≥ y

if x < y

if x ≤ y

if x = y or relation cannot be established.

Q12. I. 3x² – 4x – 32 = 0

II. 2y² – 17y + 36 = 0

if x > y

if x ≥ y

if x < y

if x ≤ y

if x = y or relation cannot be established.

Q13. I. x² - 4x - 60 = 0

II. y² -26y + 165 = 0

if x > y

if x ≥ y

if x < y

if x ≤ y

if x = y or relation cannot be established.

Q14. I. 32x² – 68x + 35 = 0

II. 8y² – 14y + 5 = 0

if x > y

if x ≥ y

if x < y

if x ≤ y

if x = y or relation cannot be established.

if x > y

if x ≥ y

if x < y

if x ≤ y

if x = y or relation cannot be established.

1.A

2.D

3.A

4.C

5.D

6.A

7.D

8.C

9.B

10.C

11.A

12.D

13.C

14.E

15.E

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