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Directions (Q. 6 – 10) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
3x – 2y = -5
5x – 7y = 10
Correct
Answer: e
3x – 2y = -5 —> (1)
5x – 7y = 10 —> (2)
By solving the equation (1) and (2), we get,
X = -5, y = -5
X = y
Incorrect
Answer: e
3x – 2y = -5 —> (1)
5x – 7y = 10 —> (2)
By solving the equation (1) and (2), we get,
X = -5, y = -5
X = y
Question 7 of 20
7. Question
Directions (Q. 6 – 10) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
I. 3x^{2} + 4x – 64 = 0
II. 2y^{2} – 21y + 52 = 0
Correct
Answer: d
I. 3x^{2} + 4x – 64 = 0
3x^{2} – 12x + 16x – 64 = 0
3x(x – 4) + 16(x – 4) = 0
(3x + 16) (x – 4) = 0
X = -16/3, 4 = -5.33, 4
II. 2y^{2} – 21y + 52 = 0
2y^{2} – 8y – 13y + 52 = 0
2y(y – 4) – 13(y – 4) = 0
(2y – 13) (y – 4) = 0
Y = 13/2, 4 = 6.5, 4
X≤ y
Incorrect
Answer: d
I. 3x^{2} + 4x – 64 = 0
3x^{2} – 12x + 16x – 64 = 0
3x(x – 4) + 16(x – 4) = 0
(3x + 16) (x – 4) = 0
X = -16/3, 4 = -5.33, 4
II. 2y^{2} – 21y + 52 = 0
2y^{2} – 8y – 13y + 52 = 0
2y(y – 4) – 13(y – 4) = 0
(2y – 13) (y – 4) = 0
Y = 13/2, 4 = 6.5, 4
X≤ y
Question 8 of 20
8. Question
Directions (Q. 6 – 10) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
x^{2} – 6√3 + 24 = 0
y^{2} – 7√3 + 36 = 0
Correct
Answer: e
I. x^{2} – 6√3 + 24 = 0
(x – 4√3) (x – 2√3) = 0
X = 4√3, 2√3
II. y^{2} – 7√3 + 36 = 0
(y – 4√3) (y – 3√3) = 0
Y = 4√3, 3√3
Can’t be determined
Incorrect
Answer: e
I. x^{2} – 6√3 + 24 = 0
(x – 4√3) (x – 2√3) = 0
X = 4√3, 2√3
II. y^{2} – 7√3 + 36 = 0
(y – 4√3) (y – 3√3) = 0
Y = 4√3, 3√3
Can’t be determined
Question 9 of 20
9. Question
Directions (Q. 6 – 10) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
x^{4} = 625
y^{5} = 243
Correct
Answer: e
I. x^{4} = 625
X^{2} = 25
X = ±5
II. y^{5} = 243
Y^{5} = (3)^{5}
Y = 3
Can’t be determined
Incorrect
Answer: e
I. x^{4} = 625
X^{2} = 25
X = ±5
II. y^{5} = 243
Y^{5} = (3)^{5}
Y = 3
Can’t be determined
Question 10 of 20
10. Question
Directions (Q. 6 – 10) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
7x^{2} – 67x + 126 = 0
8y^{2} – 78y + 162 = 0
Correct
Answer: e
I. 7x^{2} – 67x + 126 = 0
7x^{2} – 49x – 18x + 126 = 0
7x(x – 7) – 18(x – 7) = 0
(7x – 18) (x – 7) = 0
X = 18/7, 7 = 2.55, 7
II. 8y^{2} – 78y + 162 = 0
8y^{2} – 24y – 54y + 162 = 0
8y(y – 3) – 54 (y – 3) = 0
(8y – 54) (y – 3) = 0
Y = 54/8, 3 = 3.675, 8
Can’t be determined
Incorrect
Answer: e
I. 7x^{2} – 67x + 126 = 0
7x^{2} – 49x – 18x + 126 = 0
7x(x – 7) – 18(x – 7) = 0
(7x – 18) (x – 7) = 0
X = 18/7, 7 = 2.55, 7
II. 8y^{2} – 78y + 162 = 0
8y^{2} – 24y – 54y + 162 = 0
8y(y – 3) – 54 (y – 3) = 0
(8y – 54) (y – 3) = 0
Y = 54/8, 3 = 3.675, 8
Can’t be determined
Question 11 of 20
11. Question
Three years ago, the average age of Gowtham’s family, having 5 members, was 18 years. Gowtham becomes father but the average age of his family is same today. What is the present age of baby?
Correct
Answer: b
The age of 5 members 3 years ago = 5 * 18 = 90 years
Total age of 5 members at present = 90 + (5×3) = 105 years
Total age of 6 members at present = 6 × 18 = 108 years
The age of baby = 108 – 105 = 3 years
Incorrect
Answer: b
The age of 5 members 3 years ago = 5 * 18 = 90 years
Total age of 5 members at present = 90 + (5×3) = 105 years
Total age of 6 members at present = 6 × 18 = 108 years
The age of baby = 108 – 105 = 3 years
Question 12 of 20
12. Question
In what ratio water be mixed with milk to earn a profit of 30 % by selling the mixture at cost price?
Correct
Answer: d
Let the cost price be Rs. 1
Selling price of mixture = Rs. 1
Cost price of mixture = 1*100/130 = 10/13
= > – (10/13) : – (3/13)
= > 10: 3
Incorrect
Answer: d
Let the cost price be Rs. 1
Selling price of mixture = Rs. 1
Cost price of mixture = 1*100/130 = 10/13
= > – (10/13) : – (3/13)
= > 10: 3
Question 13 of 20
13. Question
Pipe P and Q fill the tank in 16 min and 24 min respectively. If both the pipes are opened, after how much time P should be closed so as to fill the tank in 15 min?
Correct
Answer: a
Let Pipe P should be closed after ‘x’ min,
(x/16) + (15/24) = 1
(x/16) = 1 – (5/8)
(x/16) = (3/8)
X = 6 min
After 6 min, Pipe P is closed.
Incorrect
Answer: a
Let Pipe P should be closed after ‘x’ min,
(x/16) + (15/24) = 1
(x/16) = 1 – (5/8)
(x/16) = (3/8)
X = 6 min
After 6 min, Pipe P is closed.
Question 14 of 20
14. Question
A man sold the articles for Rs. 7800 and incurred a loss. Had he sold the article for Rs. 9500, his gain would have been equal to 70 % of the amount of loss that he incurred. At what price should he sell the article to have 25 % profit?
Correct
Answer c
Loss = C.P – 7800
Profit = 9500 – CP
Profit = (70/100)*Loss
9500 – C.P = (7/10) [C.P – 7800]
95000 – 10 C.P = 7 C.P – 54600
17 C.P = 149600
C.P = 8800
Selling price = 8800*(125/100) = Rs. 11000
Incorrect
Answer c
Loss = C.P – 7800
Profit = 9500 – CP
Profit = (70/100)*Loss
9500 – C.P = (7/10) [C.P – 7800]
95000 – 10 C.P = 7 C.P – 54600
17 C.P = 149600
C.P = 8800
Selling price = 8800*(125/100) = Rs. 11000
Question 15 of 20
15. Question
A does one-fourth of work as much work as B in three- fourth of the time. If together they take 15 days to complete the work, then how much time shall B take to do it?
Correct
Answer: b
Let B does the work in x days,
A does one-fourth work in 3x/4 days
A does whole work in 3x days
According to the question,
(A + B)’s one day work = > (1/3x) + (1/x) = (1/15)
= > (1 + 3)/3x = (1/15)
= > 4/3x = (1/15)
= > x = 20 days
Incorrect
Answer: b
Let B does the work in x days,
A does one-fourth work in 3x/4 days
A does whole work in 3x days
According to the question,
(A + B)’s one day work = > (1/3x) + (1/x) = (1/15)
= > (1 + 3)/3x = (1/15)
= > 4/3x = (1/15)
= > x = 20 days
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total expenses of five different companies and profit % of these companies also given.
Companies
Expenses
Profit %
A
24000
20 %
B
35000
30 %
C
27000
10 %
D
34000
15 %
E
42000
25 %
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
Sales turn over = Expenses+ Profit earned
Find the average Sales turnover of company A, B and D together?
Correct
Answer: c
The Sales turnover of company A
=>24000* (100+20)/100 = 24000* 120/100 = 28800
The Sales turnover of company B
=>35000*(100+30)/100 = 35000*130/100 = 45500
The Sales turnover of company D
=>34000* (100+15)/100 = 34000*115/100 = 39100
Required average = (28800+45500+39100)/3
= > 37800
Incorrect
Answer: c
The Sales turnover of company A
=>24000* (100+20)/100 = 24000* 120/100 = 28800
The Sales turnover of company B
=>35000*(100+30)/100 = 35000*130/100 = 45500
The Sales turnover of company D
=>34000* (100+15)/100 = 34000*115/100 = 39100
Required average = (28800+45500+39100)/3
= > 37800
Question 17 of 20
17. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total expenses of five different companies and profit % of these companies also given.
Companies
Expenses
Profit %
A
24000
20 %
B
35000
30 %
C
27000
10 %
D
34000
15 %
E
42000
25 %
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
Sales turn over = Expenses+ Profit earned
Find the difference between the profits earned by Company B to that of Company C?
Correct
Answer: a
The Sales turnover of company B
=>35000*(100+30)/100 = 35000*130/100 = 45500
The profit earned by Company B
= > Sales turnover of company B – Expenses of company B
= > 45500 – 35000
= > 10500
The profit earned by Company C
= > Sales turnover of company C – Expenses of company C
= > [27000*(110/100)] – 27000
= > 29700 – 27000 = 2700
Required difference = 10500 – 2700 = 7800
Incorrect
Answer: a
The Sales turnover of company B
=>35000*(100+30)/100 = 35000*130/100 = 45500
The profit earned by Company B
= > Sales turnover of company B – Expenses of company B
= > 45500 – 35000
= > 10500
The profit earned by Company C
= > Sales turnover of company C – Expenses of company C
= > [27000*(110/100)] – 27000
= > 29700 – 27000 = 2700
Required difference = 10500 – 2700 = 7800
Question 18 of 20
18. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total expenses of five different companies and profit % of these companies also given.
Companies
Expenses
Profit %
A
24000
20 %
B
35000
30 %
C
27000
10 %
D
34000
15 %
E
42000
25 %
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
Sales turn over = Expenses+ Profit earned
Total sales turnover of Company B and E together is approximately what percentage of total sales turnover of Company C and D together?
Correct
Answer: d
Total sales turnover of Company B and E together
= > 35000*130/100 + 42000*(125/100)
= > 45500 + 52500
= > 98000
Total sales turnover of Company C and D together
= > 27000* 110/100 + 34000*115/100
= > 29700 + 39100
=>68800
Required % = (98000/68800)*100 = 142 %
Incorrect
Answer: d
Total sales turnover of Company B and E together
= > 35000*130/100 + 42000*(125/100)
= > 45500 + 52500
= > 98000
Total sales turnover of Company C and D together
= > 27000* 110/100 + 34000*115/100
= > 29700 + 39100
=>68800
Required % = (98000/68800)*100 = 142 %
Question 19 of 20
19. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total expenses of five different companies and profit % of these companies also given.
Companies
Expenses
Profit %
A
24000
20 %
B
35000
30 %
C
27000
10 %
D
34000
15 %
E
42000
25 %
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
Sales turn over = Expenses+ Profit earned
Find the ratio between the total expenses of company A and E together to that of total expenses of company B and D together?
Correct
Answer: b
The total expenses of company A and E together
= > 24000 + 42000 = 66000
The total expenses of company B and D together
= > 35000 + 34000 = 69000
Required ratio = 66000: 69000 = 22: 23
Incorrect
Answer: b
The total expenses of company A and E together
= > 24000 + 42000 = 66000
The total expenses of company B and D together
= > 35000 + 34000 = 69000
Required ratio = 66000: 69000 = 22: 23
Question 20 of 20
20. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total expenses of five different companies and profit % of these companies also given.
Companies
Expenses
Profit %
A
24000
20 %
B
35000
30 %
C
27000
10 %
D
34000
15 %
E
42000
25 %
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
Sales turn over = Expenses+ Profit earned
Total profit earned by company A and C together is approximately what percentage more/less than the total profit earned by company B and E together?
Correct
Answer: e
Total profit earned by company A and C together
= > (24000*20/100) + (27000*10/100)
= > 4800 + 2700
= > 7500
Total profit earned by company B and E together
= > (35000*30/100) + (42000*25/100)
= > 10500 + 10500
= > 21000
Required % = [(21000 – 7500)/21000]*100 = 64 %
Incorrect
Answer: e
Total profit earned by company A and C together
= > (24000*20/100) + (27000*10/100)
= > 4800 + 2700
= > 7500
Total profit earned by company B and E together
= > (35000*30/100) + (42000*25/100)
= > 10500 + 10500
= > 21000
Required % = [(21000 – 7500)/21000]*100 = 64 %
Click “Start Quiz” to attend these Questions and view Solutions
Directions (Q. 6 – 10) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
I. 3x – 2y = -5
II. 5x – 7y = 10
I. 3x^{2} + 4x – 64 = 0
II. 2y^{2} – 21y + 52 = 0
I. x^{2} – 6√3 + 24 = 0
II. y^{2} – 7√3 + 36 = 0
I. x^{4} = 625
II. y^{5} = 243
I. 7x^{2} – 67x + 126 = 0
II. 8y^{2} – 78y + 162 = 0
Three years ago, the average age of Gowtham’s family, having 5 members, was 18 years. Gowtham becomes father but the average age of his family is same today. What is the present age of baby?
2 years
3 years
1 year
Can’t be determined
None of these
In what ratio water be mixed with milk to earn a profit of 30 % by selling the mixture at cost price?
5 : 1
7 : 4
8 : 5
10 : 3
None of these
Pipe P and Q fill the tank in 16 min and 24 min respectively. If both the pipes are opened, after how much time P should be closed so as to fill the tank in 15 min?
6 min
7 min
8 min
5 min
None of these
A man sold the articles for Rs. 7800 and incurred a loss. Had he sold the article for Rs. 9500, his gain would have been equal to 70 % of the amount of loss that he incurred. At what price should he sell the article to have 25 % profit?
Rs. 13000
Rs. 14000
Rs. 11000
Rs. 12000
None of these
A does one-fourth of work as much work as B in three- fourth of the time. If together they take 15 days to complete the work, then how much time shall B take to do it?
18 days
20 days
22 days
16 days
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total expenses of five different companies and profit % of these companies also given.
Companies
Expenses
Profit %
A
24000
20 %
B
35000
30 %
C
27000
10 %
D
34000
15 %
E
42000
25 %
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
Sales turn over = Expenses+ Profit earned
Find the average Sales turnover of company A, B and D together?
34000
36000
37800
38000
None of these
Find the difference between the profits earned by Company B to that of Company C?
7800
5000
8000
6000
None of these
Total sales turnover of Company B and E together is approximately what percentage of total sales turnover of Company C and D together?
130 %
115 %
100 %
142 %
178 %
Find the ratio between the total expenses of company A and E together to that of total expenses of company B and D together?
14 : 27
22 : 23
30 : 41
25 : 32
None of these
Total profit earned by company A and C together is approximately what percentage more/less than the total profit earned by company B and E together?