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Directions (Q. 1 – 5): What approximate value should come in the place of question mark (?) in the following questions?
√65535 ÷ 8 + (28.01)^{2} – (8.99)^{3} = 100 – ?
Correct
Answer: e)
√65536 ÷ 8 + (28)^{2} – (9)^{3} = 100 – x
(256/8) + 784 – 729 = 100 – x
32 + 784 – 729 = 100 – x
X = 100 – 87
X = 13
Incorrect
Answer: e)
√65536 ÷ 8 + (28)^{2} – (9)^{3} = 100 – x
(256/8) + 784 – 729 = 100 – x
32 + 784 – 729 = 100 – x
X = 100 – 87
X = 13
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} + 15x + 56 = 0
y^{2} + 13y + 42 = 0
Correct
Answer: d)
I. x^{2} + 15x + 56 = 0
(x + 8) (x + 7) = 0
x = -8, -7
II. y^{2} + 13y + 42 = 0
(y + 6) (y + 7) = 0
y = -6, -7
x ≤ y
Incorrect
Answer: d)
I. x^{2} + 15x + 56 = 0
(x + 8) (x + 7) = 0
x = -8, -7
II. y^{2} + 13y + 42 = 0
(y + 6) (y + 7) = 0
y = -6, -7
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
2x^{2} + 12x + 16 = 0
3y^{2} -7y – 6 = 0
Correct
Answer: c)
I. 2x^{2} + 12x + 16 = 0
2x^{2} + 8x + 4x + 16 = 0
2x (x + 4) + 4 (x + 4) = 0
(2x +4) (x + 4) = 0
x = -2, -4
II. 3y^{2} -7y – 6 = 0
3y^{2} -9y + 2y – 6 = 0
3y (y – 3) + 2 (y – 3) = 0
(3y + 2) (y – 3) = 0
y = 3, -2/3 = 3, -0.66
x < y
Incorrect
Answer: c)
I. 2x^{2} + 12x + 16 = 0
2x^{2} + 8x + 4x + 16 = 0
2x (x + 4) + 4 (x + 4) = 0
(2x +4) (x + 4) = 0
x = -2, -4
II. 3y^{2} -7y – 6 = 0
3y^{2} -9y + 2y – 6 = 0
3y (y – 3) + 2 (y – 3) = 0
(3y + 2) (y – 3) = 0
y = 3, -2/3 = 3, -0.66
x < y
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
x^{2} + x – 132 = 0
y^{2} – 13y – 48 = 0
Correct
Answer: e)
I. x^{2} + x – 132 = 0
X^{2} + 12x – 11x – 132 = 0
x (x + 12) – 11 (x + 12) = 0
(x -11) (x + 12) = 0
x = 11, -12
II. y^{2} – 13y – 48 = 0
Y^{2} – 16y + 3y – 48 = 0
Y(y – 16)+3 (y + 16) = 0
(y – 3) (y + 16) = 0
Y = -3, 16
Can’t be determined
Incorrect
Answer: e)
I. x^{2} + x – 132 = 0
X^{2} + 12x – 11x – 132 = 0
x (x + 12) – 11 (x + 12) = 0
(x -11) (x + 12) = 0
x = 11, -12
II. y^{2} – 13y – 48 = 0
Y^{2} – 16y + 3y – 48 = 0
Y(y – 16)+3 (y + 16) = 0
(y – 3) (y + 16) = 0
Y = -3, 16
Can’t be determined
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
3x + 2y = 5
2x + y = 2
Correct
Answer: c)
3x + 2y = 5 —> (1)
2x + y = 2 —-> (2)
By solving the equation (1) and (2), we get,
X = -1, y = 4
x < y
Incorrect
Answer: c)
3x + 2y = 5 —> (1)
2x + y = 2 —-> (2)
By solving the equation (1) and (2), we get,
X = -1, y = 4
x < y
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
x^{2} – 12x + 36 = 0
5y^{2} + 4y – 12 = 0
Correct
Answer: a)
I. x^{2} – 12x – 36 = 0
X^{2} – 6x – 6x + 36 = 0
x (x – 6) – 6 (x – 6) = 0
x = 6, 6
II. 5y^{2} + 4y – 12 = 0
5y^{2} + 10y – 6y – 12 = 0
5y (y + 2) – 6(y + 2) = 0
(5y – 6) (y + 2) = 0
y = -2, 6/5
x > y
Incorrect
Answer: a)
I. x^{2} – 12x – 36 = 0
X^{2} – 6x – 6x + 36 = 0
x (x – 6) – 6 (x – 6) = 0
x = 6, 6
II. 5y^{2} + 4y – 12 = 0
5y^{2} + 10y – 6y – 12 = 0
5y (y + 2) – 6(y + 2) = 0
(5y – 6) (y + 2) = 0
y = -2, 6/5
x > y
Question 11 of 20
11. Question
A trader sells an article at a loss of 10%, when he increases the selling price of the article by Rs. 120, then he earns a profit of 20% on the cost price. If he sells the same article for Rs. 560, then find his profit percentage?
Correct
Answer: b)
Let the cost price be x,
According to question
(120/100)*x – (90/100)*x = 120
(30/100)*x = 120
X = 120*(10/3) = 400
Cost Price of the article = Rs. 400
Profit = 560 – 400 = Rs. 160
Profit %= (160/400)*100 = 40%
Incorrect
Answer: b)
Let the cost price be x,
According to question
(120/100)*x – (90/100)*x = 120
(30/100)*x = 120
X = 120*(10/3) = 400
Cost Price of the article = Rs. 400
Profit = 560 – 400 = Rs. 160
Profit %= (160/400)*100 = 40%
Question 12 of 20
12. Question
A man purchases two watches for Rs. 1750. One he sells at 20 % profit and the other he sells at 15 % loss. Thus, he neither gains nor losses. Then find the cost price of each watch?
Correct
Answer: d)
CP1 + CP2 = 1750
Using allegation method,
Incorrect
Answer: d)
CP1 + CP2 = 1750
Using allegation method,
Question 13 of 20
13. Question
If the numerator of a fraction is increased by 50% and the denominator of the fraction is subtracted by 28, then the resultant fraction becomes 7/9. Find the original fraction, if the numerator of a fraction is 41 less than the denominator of a fraction?
Correct
Answer: c)
Let the original fraction be x/y,
x = y – 41
[x*(150/100)]/[y – 28] = 7/9
3x/[2*(y – 28)] = 7/9
3x/(2y – 56) = 7/9
27x = 14y – 392
27x = 14*(x + 41) – 392
27x = 14x + 574 – 392
13x = 182
x = 14
y = 14 + 41 = 55
Original fraction = x/y = 14/55
Incorrect
Answer: c)
Let the original fraction be x/y,
x = y – 41
[x*(150/100)]/[y – 28] = 7/9
3x/[2*(y – 28)] = 7/9
3x/(2y – 56) = 7/9
27x = 14y – 392
27x = 14*(x + 41) – 392
27x = 14x + 574 – 392
13x = 182
x = 14
y = 14 + 41 = 55
Original fraction = x/y = 14/55
Question 14 of 20
14. Question
A can finish a work in 20 days. B can do the same work in 8 days and C can do it in 10 days. B and C start the work but they are forced to leave after 4 days. How many days A will take to finish the remaining work?
Correct
Answer: a)
A’s one day work = (1/20)
B’s one day work = (1/8)
C’s one day work = (1/10)
(B + C)’s one day work = (1/8) + (1/10) = 18/(8*10) = 9/40
(B + C)’s 4 day work = (9/40)*4 = 9/10
Remaining work = 1/10
A can finish the remaining work in,
= > (1/10)*20 = 2 days
Incorrect
Answer: a)
A’s one day work = (1/20)
B’s one day work = (1/8)
C’s one day work = (1/10)
(B + C)’s one day work = (1/8) + (1/10) = 18/(8*10) = 9/40
(B + C)’s 4 day work = (9/40)*4 = 9/10
Remaining work = 1/10
A can finish the remaining work in,
= > (1/10)*20 = 2 days
Question 15 of 20
15. Question
A man invested Rs. 45000 in a scheme A which offers simple interest at a rate 6% for 3 years. He also invested Rs. 50000 in scheme B which offers simple interest at a rate of x% and for same period of time while the interest received from scheme B is Rs. 900 more than interest received from scheme A, then find the value of x?
Correct
Answer: a)
According to the question,
(45000*6*3)/100 + 900 = (50000*x*3)/100
8100 + 900 = 1500x
9000 = 1500x
x = 9000/1500
x = 6%
Incorrect
Answer: a)
According to the question,
(45000*6*3)/100 + 900 = (50000*x*3)/100
8100 + 900 = 1500x
9000 = 1500x
x = 9000/1500
x = 6%
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 number of items produced by two different companies in different years and the ratio of sold and unsold items among them.
Total production of company A in the year 2012, 2014 and 2016 together is approximately what percentage more/less than the total production of company B in the year 2013, 2014 and 2016 together?
Correct
Answer: d)
Total production of company A in the year 2012, 2014 and 2016 together
= > 35.6 + 54.4 + 66.8 = 156.8 lakhs
Total production of company B in the year 2013, 2014 and 2015 together
= > 53.4 + 55.8 + 62.4 = 171.6 lakhs
Required % = [(171.6 – 156.8)/171.6]*100 = 10 %
Incorrect
Answer: d)
Total production of company A in the year 2012, 2014 and 2016 together
= > 35.6 + 54.4 + 66.8 = 156.8 lakhs
Total production of company B in the year 2013, 2014 and 2015 together
= > 53.4 + 55.8 + 62.4 = 171.6 lakhs
Required % = [(171.6 – 156.8)/171.6]*100 = 10 %
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 number of items produced by two different companies in different years and the ratio of sold and unsold items among them.
Find the difference between the total sold items of company A in the year 2012 and 2014 together to that of total unsold items of company A in the year 2013 and 2015 together?
Correct
Answer: a)
The total sold items of company A in the year 2012 and 2014 together
= > 35.6*(3/4) + 54.4*(5/8)
= > 26.7 + 34 = 60.7 lakhs
The total unsold items of company A in the year 2013 and 2015 together
= > 42.5*(2/5) + 57.6*(2/9)
= > 17 + 12.8 = 29.8 lakhs
Required difference = 60.7 – 29.8 = 30.9 lakhs
Incorrect
Answer: a)
The total sold items of company A in the year 2012 and 2014 together
= > 35.6*(3/4) + 54.4*(5/8)
= > 26.7 + 34 = 60.7 lakhs
The total unsold items of company A in the year 2013 and 2015 together
= > 42.5*(2/5) + 57.6*(2/9)
= > 17 + 12.8 = 29.8 lakhs
Required difference = 60.7 – 29.8 = 30.9 lakhs
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 number of items produced by two different companies in different years and the ratio of sold and unsold items among them.
Find the ratio between the total sold items of company A in the year 2013 and 2015 together to that of total unsold items of company B in the year 2012 and 2014 together?
Correct
Answer: c)
The total sold items of company A in the year 2013 and 2015 together
= > 42.5*(3/5) + 57.6*(7/9)
= > 25.5 + 44.8 = 70.3 lakhs
The total unsold items of company B in the year 2012 and 2014 together
= > 44.5*(1/5) + 55.8*(3/8)
= > 8.9 + 20.925 = 29.825 lakhs
Required ratio = 7030000: 2982500 = 2812: 1193
Incorrect
Answer: c)
The total sold items of company A in the year 2013 and 2015 together
= > 42.5*(3/5) + 57.6*(7/9)
= > 25.5 + 44.8 = 70.3 lakhs
The total unsold items of company B in the year 2012 and 2014 together
= > 44.5*(1/5) + 55.8*(3/8)
= > 8.9 + 20.925 = 29.825 lakhs
Required ratio = 7030000: 2982500 = 2812: 1193
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 number of items produced by two different companies in different years and the ratio of sold and unsold items among them.
Find the average unsold items of company B in the year 2012, 2013 and 2014 together?
Correct
Answer: b)
The total unsold items of company B in the year 2012, 2013 and 2014 together
= > 44.5*(1/5) + 53.4*(1/3) + 55.8*(3/8)
= > 8.9 + 17.8 + 20.925 = 47.625 lakhs
Required average = (47.625/3) = 15.875 lakhs = 1587500
Incorrect
Answer: b)
The total unsold items of company B in the year 2012, 2013 and 2014 together
= > 44.5*(1/5) + 53.4*(1/3) + 55.8*(3/8)
= > 8.9 + 17.8 + 20.925 = 47.625 lakhs
Required average = (47.625/3) = 15.875 lakhs = 1587500
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 number of items produced by two different companies in different years and the ratio of sold and unsold items among them.
Total sold items of company A in the year 2012 is approximately what percentage of total sold items of company B in the year 2015?
Correct
Answer: a)
Total sold items of company A in the year 2012
= > 35.6*(3/4) = 26.7 lakhs
Total sold items of company B in the year 2015
= > 62.4*(7/8) = 54.6 lakhs
Required % = (26.7/54.6)*100 = 50 %
Incorrect
Answer: a)
Total sold items of company A in the year 2012
= > 35.6*(3/4) = 26.7 lakhs
Total sold items of company B in the year 2015
= > 62.4*(7/8) = 54.6 lakhs
Required % = (26.7/54.6)*100 = 50 %
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} + 15x + 56 = 0
II. y^{2} + 13y + 42 = 0
7) I. 2x^{2} + 12x + 16 = 0
II. 3y^{2} -7y – 6 = 0
8) I. x^{2} + x – 132 = 0
II. y^{2} – 13y – 48 = 0
9) I. 3x + 2y = 5
II. 2x + y = 2
10) I. x^{2} – 12x + 36 = 0
II. 5y^{2} + 4y – 12 = 0
11) A trader sells an article at a loss of 10%, when he increases the selling price of the article by Rs. 120, then he earns a profit of 20% on the cost price. If he sells the same article for Rs. 560, then find his profit percentage?
30 %
40 %
25 %
35 %
None of these
12) A man purchases two watches for Rs. 1750. One he sells at 20 % profit and the other he sells at 15 % loss. Thus, he neither gains nor losses. Then find the cost price of each watch?
Rs. 800, Rs. 950
Rs. 900, Rs. 850
Rs. 700, Rs. 1050
Rs. 750, Rs. 1000
None of these
13) If the numerator of a fraction is increased by 50% and the denominator of the fraction is subtracted by 28, then the resultant fraction becomes 7/9. Find the original fraction, if the numerator of a fraction is 41 less than the denominator of a fraction?
20/63
11/52
14/55
17/58
None of these
14) A can finish a work in 20 days. B can do the same work in 8 days and C can do it in 10 days. B and C start the work but they are forced to leave after 4 days. How many days A will take to finish the remaining work?
2 days
4 days
3 days
5 days
None of these
15) A man invested Rs. 45000 in a scheme A which offers simple interest at a rate 6% for 3 years. He also invested Rs. 50000 in scheme B which offers simple interest at a rate of x% and for same period of time while the interest received from scheme B is Rs. 900 more than interest received from scheme A, then find the value of x?
6 %
5 %
7 %
8 %
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of items produced by two different companies in different years and the ratio of sold and unsold items among them.
Years
Company A
Company B
Production
(In lakhs)
Sold : Unsold
Production
(In lakhs)
Sold : Unsold
2012
35.6
3 : 1
44.5
4 : 1
2013
42.5
3 : 2
53.4
2 : 1
2014
54.4
5 : 3
55.8
5 : 3
2015
57.6
7 : 2
62.4
7 : 1
2016
66.8
3 : 1
65.2
3 : 1
16) Total production of company A in the year 2012, 2014 and 2016 together is approximately what percentage more/less than the total production of company B in the year 2013, 2014 and 2016 together?
25 %
20 %
30 %
10 %
40 %
17) Find the difference between the total sold items of company A in the year 2012 and 2014 together to that of total unsold items of company A in the year 2013 and 2015 together?
30.9 lakhs
42.5 lakhs
28.7 lakhs
35.6 lakhs
None of these
18) Find the ratio between the total sold items of company A in the year 2013 and 2015 together to that of total unsold items of company B in the year 2012 and 2014 together?
564 : 239
1038 : 757
2812 : 1193
1546 : 855
None of these
19) Find the average unsold items of company B in the year 2012, 2013 and 2014 together?
1872500
1587500
1695000
1432500
None of these
20) Total sold items of company A in the year 2012 is approximately what percentage of total sold items of company B in the year 2015?