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(6710 + 1130) ÷ 35 + 67^{2} + (3/7) of 2520 – 52 = x
(7840/35) + 4489 + (3/7)*2520 – 52 = x
224 + 4489 + 1080 – 52 = x
X = 5741 = 5740
Incorrect
Answer: c)
(6710 + 1130) ÷ 35 + 67^{2} + (3/7) of 2520 – 52 = x
(7840/35) + 4489 + (3/7)*2520 – 52 = x
224 + 4489 + 1080 – 52 = x
X = 5741 = 5740
Question 5 of 20
5. Question
Directions (1 – 5): What approximate value should come in the place of question mark (?) in the following questions?
11 7/8 + 15 2/3 – 8 5/7 + 1 ¾ =? + 6 ½
Correct
Answer: a)
11 7/8 + 15 2/3 – 8 5/7 + 1 ¾ = x + 6 ½
12 + 16 – 9 + 2 = x + 7
21 – 7 = x
X = 14 = 15
Incorrect
Answer: a)
11 7/8 + 15 2/3 – 8 5/7 + 1 ¾ = x + 6 ½
12 + 16 – 9 + 2 = x + 7
21 – 7 = x
X = 14 = 15
Question 6 of 20
6. Question
Directions (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) (y + 4) = (x + 5) (y + 10)
y × (3x – 2) = (3x + 6) (y + 16)
Correct
Answer: a)
I. (x + 2) (y + 4) = (x + 5) (y + 10)
xy + 4x + 2y + 8 = xy + 10x + 5y + 50
6x + 3y + 42 = 0
2x + y = -14 —> (1)
II. y × (3x – 2) = (3x + 6) (y + 16)
3xy – 2y = 3xy + 48x + 6y + 96
48x + 8y + 96 = 0
6x + y = -12 –> (2)
By solving the equation (1) and (2), we get,
X = 0.5, y = -15
X > y
Incorrect
Answer: a)
I. (x + 2) (y + 4) = (x + 5) (y + 10)
xy + 4x + 2y + 8 = xy + 10x + 5y + 50
6x + 3y + 42 = 0
2x + y = -14 —> (1)
II. y × (3x – 2) = (3x + 6) (y + 16)
3xy – 2y = 3xy + 48x + 6y + 96
48x + 8y + 96 = 0
6x + y = -12 –> (2)
By solving the equation (1) and (2), we get,
X = 0.5, y = -15
X > y
Question 7 of 20
7. Question
Directions (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
5x^{2} + 12x – 65 = 0
4y^{2} – 4y – 48 = 0
Correct
Answer: e)
I. 5x^{2} + 12x – 65 = 0
5x^{2} + 25x – 13x – 65 = 0
5x(x + 5) – 13(x + 5) = 0
(5x – 13) (x + 5) = 0
X = 13/5, -5 = 2.6, -5
II. 4y^{2} – 4y – 48 = 0
4y^{2} – 16y + 12y – 48 = 0
4y(y – 4) + 12(y – 4) = 0
(4y + 12) (y – 4) = 0
Y = -12/4, 4 = -3, 4
Can’t be determined
Incorrect
Answer: e)
I. 5x^{2} + 12x – 65 = 0
5x^{2} + 25x – 13x – 65 = 0
5x(x + 5) – 13(x + 5) = 0
(5x – 13) (x + 5) = 0
X = 13/5, -5 = 2.6, -5
II. 4y^{2} – 4y – 48 = 0
4y^{2} – 16y + 12y – 48 = 0
4y(y – 4) + 12(y – 4) = 0
(4y + 12) (y – 4) = 0
Y = -12/4, 4 = -3, 4
Can’t be determined
Question 8 of 20
8. Question
Directions (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 – y = -14
5x – 4y = -14
Correct
Answer: c)
3x – y = -14 —> (1)
5x – 4y = -14 —> (2)
By solving the equation (1) and (2), we get,
X = -6, y = -4
X < y
Incorrect
Answer: c)
3x – y = -14 —> (1)
5x – 4y = -14 —> (2)
By solving the equation (1) and (2), we get,
X = -6, y = -4
X < y
Question 9 of 20
9. Question
Directions (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. x^{2} – 9x – 52 = 0
II. 2y^{2} + 2y – 24 = 0
Correct
Answer: e)
I. x^{2} – 9x – 52 = 0
(x – 13) (x + 4) = 0
X = 13, -4
II. 2y^{2} + 2y – 24 = 0
2y^{2} + 8y – 6y – 24 = 0
2y (y + 4) -6 (y + 4) = 0
(2y – 6) (y + 4) = 0
Y = 3, -4
Can’t be determined
Incorrect
Answer: e)
I. x^{2} – 9x – 52 = 0
(x – 13) (x + 4) = 0
X = 13, -4
II. 2y^{2} + 2y – 24 = 0
2y^{2} + 8y – 6y – 24 = 0
2y (y + 4) -6 (y + 4) = 0
(2y – 6) (y + 4) = 0
Y = 3, -4
Can’t be determined
Question 10 of 20
10. Question
Directions (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} + 37x + 36 = 0
4y^{2} + 41y + 72 = 0
Correct
Answer: e)
I. 7x^{2} + 37x + 36 = 0
7x^{2} + 28x + 9x + 36 = 0
7x(x + 4) + 9(x + 4) = 0
(7x + 9) (x + 4) = 0
X = -9/7, -4 = -1.2, -4
II. 4y^{2} + 41y + 72 = 0
4y^{2} + 32y + 9y + 72 = 0
4y(y + 8) + 9(y + 8) = 0
(4y + 9) (y + 8) = 0
Y = -9/4, -8 = -2.25, -8
Can’t be determined
Incorrect
Answer: e)
I. 7x^{2} + 37x + 36 = 0
7x^{2} + 28x + 9x + 36 = 0
7x(x + 4) + 9(x + 4) = 0
(7x + 9) (x + 4) = 0
X = -9/7, -4 = -1.2, -4
II. 4y^{2} + 41y + 72 = 0
4y^{2} + 32y + 9y + 72 = 0
4y(y + 8) + 9(y + 8) = 0
(4y + 9) (y + 8) = 0
Y = -9/4, -8 = -2.25, -8
Can’t be determined
Question 11 of 20
11. Question
If the numerator of the fraction is increased by 50 % and the denominator is decreased by 20 %, then the resultant fraction is 9/10. Find the original fraction?
Correct
Answer: a)
Let the original fraction be x/y,
[X*(150/100)]/y*(80/100) = 9/10
x/y = (9/10)*(80/150)
x/y = (12/25)
Incorrect
Answer: a)
Let the original fraction be x/y,
[X*(150/100)]/y*(80/100) = 9/10
x/y = (9/10)*(80/150)
x/y = (12/25)
Question 12 of 20
12. Question
4 men and 6 women can do a work in 12 days. 5 men and 9 women can do a same work in 9 days. How long will 6 men and 9 women can take to do the work?
Correct
Answer: d)
Total work = (men (or) women)*days
Work equal, so,
(4 m + 6 w)*12 = (5 m + 9 w)*9
48 m + 72 w = 45 m + 81 w
3 m = 9 w
1 m = 3 w
4 m + 6 w = 12 w + 6 w = 18 w
6 m + 9 w = 18 w + 9 w = 27 w
Women days
18 12
27 ?
X= (18*12)/27 = 8 days
Incorrect
Answer: d)
Total work = (men (or) women)*days
Work equal, so,
(4 m + 6 w)*12 = (5 m + 9 w)*9
48 m + 72 w = 45 m + 81 w
3 m = 9 w
1 m = 3 w
4 m + 6 w = 12 w + 6 w = 18 w
6 m + 9 w = 18 w + 9 w = 27 w
Women days
18 12
27 ?
X= (18*12)/27 = 8 days
Question 13 of 20
13. Question
A shopkeeper marks his goods at 25 % above its cost price and allows a discount of 12 %. How much profit/Loss percent does he make?
Correct
Answer: c)
Let us assume the cost price be Rs. 100,
MP = (125/100)*CP = (125/100)*100 = 125
SP = 125*(88/100) = Rs. 110
Profit % = (10/100)*100 = 10 %
Incorrect
Answer: c)
Let us assume the cost price be Rs. 100,
MP = (125/100)*CP = (125/100)*100 = 125
SP = 125*(88/100) = Rs. 110
Profit % = (10/100)*100 = 10 %
Question 14 of 20
14. Question
250 m long train crosses another train of length 125 m in 15 sec, running in opposite direction. If the speed of the first train is 40 km/hr, then find the speed of the second train (in km/hr)?
Correct
Answer: c)
T = D/S
According to the question,
15 = (250 + 125) / [(40 + x)*(5/18)]
15* [(40 + x)*(5/18)] = 375
[(40 + x)*(5/18)] = 375/15
(40 + x) = (375/15)*(18/5)
40 + x = 90
X = 50 km/hr
Incorrect
Answer: c)
T = D/S
According to the question,
15 = (250 + 125) / [(40 + x)*(5/18)]
15* [(40 + x)*(5/18)] = 375
[(40 + x)*(5/18)] = 375/15
(40 + x) = (375/15)*(18/5)
40 + x = 90
X = 50 km/hr
Question 15 of 20
15. Question
3 years ago, the ratio of ages of Raj and Kamal is 5: 6. The age of Jothi after 7 years is 45 years. 3 years ago, the age of Raj is five-seventh of age of Jothi at that time. Find the present age of Kamal?
Correct
Answer: b)
3 years ago, the ratio of ages of Raj and Kamal = 5: 6 (5x, 6x)
The age of Jothi after 7 years = 45 years
3 years ago, the age of Jothi = 35 years
3 years ago, the age of Raj = (5/7)*Jothi = (5/7)*35 = 25
According to the question,
5’s = 25
1’s = 5
The age of Kamal, 3 years ago = 6x = 30
The present age of Kamal = 33 years
Incorrect
Answer: b)
3 years ago, the ratio of ages of Raj and Kamal = 5: 6 (5x, 6x)
The age of Jothi after 7 years = 45 years
3 years ago, the age of Jothi = 35 years
3 years ago, the age of Raj = (5/7)*Jothi = (5/7)*35 = 25
According to the question,
5’s = 25
1’s = 5
The age of Kamal, 3 years ago = 6x = 30
The present age of Kamal = 33 years
Question 16 of 20
16. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following bar graph shows the total number of male and female working in 6 different companies.
Find the ratio between the total number of male employees in company P, R and T together to that of total number of female employees in company Q, S and U together?
Correct
Answer: a)
The total number of male employees in company P, R and T together
= > 900 + 1200 + 1150 = 3250
The total number of female employees in company Q, S and U together
= > 1050 + 1100 + 950 = 3100
Required ratio = 3250: 3100 = 65: 62
Incorrect
Answer: a)
The total number of male employees in company P, R and T together
= > 900 + 1200 + 1150 = 3250
The total number of female employees in company Q, S and U together
= > 1050 + 1100 + 950 = 3100
Required ratio = 3250: 3100 = 65: 62
Question 17 of 20
17. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following bar graph shows the total number of male and female working in 6 different companies.
If the ratio of officers and clerks in company R and company T is 3: 4 and 2: 3 respectively, then find the difference between the total number of officers to that of clerks in company R and T together?
Correct
Answer: d)
The ratio of officers and clerks in company R = 3: 4
The ratio of officers and clerks in company T = 2: 3
The total number of officers in company R and T together
= > 2100*(3/7) + 2000*(2/5)
= > 900 + 800 = 1700
The total number of clerks in company R and T together
= > 2100*(4/7) + 2000*(3/5)
= > 1200 + 1200 = 2400
Required difference = 2400 – 1700 = 700
Incorrect
Answer: d)
The ratio of officers and clerks in company R = 3: 4
The ratio of officers and clerks in company T = 2: 3
The total number of officers in company R and T together
= > 2100*(3/7) + 2000*(2/5)
= > 900 + 800 = 1700
The total number of clerks in company R and T together
= > 2100*(4/7) + 2000*(3/5)
= > 1200 + 1200 = 2400
Required difference = 2400 – 1700 = 700
Question 18 of 20
18. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following bar graph shows the total number of male and female working in 6 different companies.
Total number of employees in company P and Q together is approximately what percentage of total number of female employees in company T and U together?
Correct
Answer: b)
Total number of employees in company P and Q together
= > 1650 + 2000 = 3650
Total number of female employees in company T and U together
= > 850+ 950= 1800
Required % = (3650/1800)*100 = 200 %
Incorrect
Answer: b)
Total number of employees in company P and Q together
= > 1650 + 2000 = 3650
Total number of female employees in company T and U together
= > 850+ 950= 1800
Required % = (3650/1800)*100 = 200 %
Question 19 of 20
19. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following bar graph shows the total number of male and female working in 6 different companies.
Find the average number of male employees in all the given companies together?
Correct
Answer: a)
The total number of male employees in all the given companies together
= > 900 + 950 + 1200 + 1350 + 1150 + 1050
= > 6600
Required average = 6600/6 = 1100
Incorrect
Answer: a)
The total number of male employees in all the given companies together
= > 900 + 950 + 1200 + 1350 + 1150 + 1050
= > 6600
Required average = 6600/6 = 1100
Question 20 of 20
20. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following bar graph shows the total number of male and female working in 6 different companies.
Total number of female employees in company Q and R together is approximately what percentage more than the total number of female employee in company U?
Correct
Answer: c)
Total number of female employees in company Q and R together
= > 1050 + 900 = 1950
Total number of female employee in company U
= > 950
Required % = [(1950 – 950)/950]*100 = 105 %
Incorrect
Answer: c)
Total number of female employees in company Q and R together
= > 1050 + 900 = 1950
Total number of female employee in company U
= > 950
Required % = [(1950 – 950)/950]*100 = 105 %
Click “Start Quiz” to attend these Questions and view Solutions
Directions (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
6) I. (x + 2) (y + 4) = (x + 5) (y + 10)
II. y × (3x – 2) = (3x + 6) (y + 16)
7) I. 5x^{2} + 12x – 65 = 0
II. 4y^{2} – 4y – 48 = 0
8) I. 3x – y = -14
II. 5x – 4y = -14
9) I. x^{2} – 9x – 52 = 0
II. 2y^{2} + 2y – 24 = 0
10) I. 7x^{2} + 37x + 36 = 0
II. 4y^{2} + 41y + 72 = 0
11) If the numerator of the fraction is increased by 50 % and the denominator is decreased by 20 %, then the resultant fraction is 9/10. Find the original fraction?
a) 12/25
b) 15/19
c) 23/27
d) 33/46
e) None of these
12) 4 men and 6 women can do a work in 12 days. 5 men and 9 women can do a same work in 9 days. How long will 6 men and 9 women can take to do the work?
a) 12 days
b) 18 days
c) 4 days
d) 8 days
e) None of these
13) A shopkeeper marks his goods at 25 % above its cost price and allows a discount of 12 %. How much profit/Loss percent does he make?
a) 15 %
b) 20 %
c) 10 %
d) 25 %
e) None of these
14) 250 m long train crosses another train of length 125 m in 15 sec, running in opposite direction. If the speed of the first train is 40 km/hr, then find the speed of the second train (in km/hr)?
a) 40 km/hr
b) 35 km/hr
c) 50 km/hr
d) 60 km/hr
e) None of these
15) 3 years ago, the ratio of ages of Raj and Kamal is 5: 6. The age of Jothi after 7 years is 45 years. 3 years ago, the age of Raj is five-seventh of age of Jothi at that time. Find the present age of Kamal?
a) 28 years
b) 33 years
c) 36 years
d) 24 years
e) None of these
Directions (16 – 20): Study the following information carefully and answer the given questions:
Following bar graph shows the total number of male and female working in 6 different companies.
16) Find the ratio between the total number of male employees in company P, R and T together to that of total number of female employees in company Q, S and U together?
a) 65: 62
b) 30: 23
c) 45: 31
d) 57: 43
e) None of these
17) If the ratio of officers and clerks in company R and company T is 3: 4 and 2: 3 respectively, then find the difference between the total number of officers to that of clerks in company R and T together?
a) 1050
b) 1250
c) 600
d) 700
e) None of these
18) Total number of employees in company P and Q together is approximately what percentage of total number of female employees in company T and U together?
a) 100 %
b) 200%
c) 150 %
d) 175 %
e) 125 %
19) Find the average number of male employees in all the given companies together?
a) 1100
b) 1250
c) 950
d) 1375
e) None of these
20) Total number of female employees in company Q and R together is approximately what percentage more than the total number of female employee in company U?