Dear Aspirants, Our IBPS Guide team is providing new series of Quantitative Aptitude Questions for IBPS Clerk Prelims 2019 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
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Question 1 of 10
1. Question
Quadratic equations
Directions (1 – 5): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
I) 14xÂ² – 5âˆš15 x â€“ 90 = 0
II) 6yÂ² + âˆš21 y â€“ 21 = 0
Correct
Answer: c
I) 14xÂ²-5âˆš15 x-90=0
14xÂ²-12âˆš15 x+7âˆš15 x â€“ 90 = 0
2x(7x – 6âˆš15)+ âˆš15(7x – 6âˆš15) = 0
(2x + âˆš15)(7x – 6âˆš15) = 0
x = -âˆš15/2, (6âˆš15)/7
II) 6yÂ²+âˆš21 y-21=0
6yÂ²+3âˆš21 y-2âˆš21 y -21=0
3y(2y+âˆš21)- âˆš21(2y+âˆš21)=0
(3y- âˆš21)(2y+âˆš21)=0
y =âˆš21/3 ,-âˆš21/2
Hence, relationship between x and y cannot be determined
Incorrect
Answer: c
I) 14xÂ²-5âˆš15 x-90=0
14xÂ²-12âˆš15 x+7âˆš15 x â€“ 90 = 0
2x(7x – 6âˆš15)+ âˆš15(7x – 6âˆš15) = 0
(2x + âˆš15)(7x – 6âˆš15) = 0
x = -âˆš15/2, (6âˆš15)/7
II) 6yÂ²+âˆš21 y-21=0
6yÂ²+3âˆš21 y-2âˆš21 y -21=0
3y(2y+âˆš21)- âˆš21(2y+âˆš21)=0
(3y- âˆš21)(2y+âˆš21)=0
y =âˆš21/3 ,-âˆš21/2
Hence, relationship between x and y cannot be determined
Question 2 of 10
2. Question
Quadratic equations
Directions (1 – 5): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
I) Â 3x^{2}â€“ 13âˆš2x + 24 = 0Â Â
II)Â y^{2}â€“ 4âˆš2y + 6 = 0
Correct
Answer: c
I)Â 3x^{2}â€“ 13âˆš2x + 24 = 0
3x^{2}Â â€“ 9âˆš2x â€“ 4âˆš2x + 24 = 0
3x(x â€“ 3âˆš2) â€“ 4âˆš2 (x â€“ 3âˆš2) = 0
(3x â€“ 4âˆš2)(x â€“ 3âˆš2) = 0
x = 4âˆš2/3, 3âˆš2
II)y^{2}â€“ 4âˆš2y + 6 = 0
y^{2}Â â€“ âˆš2y â€“ 3âˆš2y + 6 = 0
y(y â€“ âˆš2) â€“ 3âˆš2 (y â€“ âˆš2) = 0
(y â€“ âˆš2) (y â€“ 3âˆš2) = 0
y = âˆš2, 3âˆš2
Hence, relationship between x and y cannot be determined
Incorrect
Answer: c
I)Â 3x^{2}â€“ 13âˆš2x + 24 = 0
3x^{2}Â â€“ 9âˆš2x â€“ 4âˆš2x + 24 = 0
3x(x â€“ 3âˆš2) â€“ 4âˆš2 (x â€“ 3âˆš2) = 0
(3x â€“ 4âˆš2)(x â€“ 3âˆš2) = 0
x = 4âˆš2/3, 3âˆš2
II)y^{2}â€“ 4âˆš2y + 6 = 0
y^{2}Â â€“ âˆš2y â€“ 3âˆš2y + 6 = 0
y(y â€“ âˆš2) â€“ 3âˆš2 (y â€“ âˆš2) = 0
(y â€“ âˆš2) (y â€“ 3âˆš2) = 0
y = âˆš2, 3âˆš2
Hence, relationship between x and y cannot be determined
Question 3 of 10
3. Question
Quadratic equations
Directions (1 – 5): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
I)3x^{2}â€“ (6 + âˆš5)x + 2âˆš5 = 0Â
II)8y^{2}â€“ (16 + 3âˆš5)y + 6âˆš5 = 0
Correct
Answer: c
I)Â 3x^{2}â€“ (6 + âˆš5)x + 2âˆš5 = 0Â
3x^{2}Â â€“ 6x â€“ âˆš5x + 2âˆš5 = 0
3x (x â€“ 2) â€“ âˆš5 (x â€“ 2) = 0
(3x â€“ âˆš5) (x â€“ 2) = 0
x =Â âˆš5/3,2
II)Â 8y^{2}â€“ (16 + 3âˆš5)y + 6âˆš5 = 0
8y^{2}Â â€“ 16y â€“ 3âˆš5y + 6âˆš5 = 0
8yÂ (yÂ â€“ 2) â€“ 3âˆš5 (y â€“ 2) = 0
(8yÂ â€“ 3âˆš5) (y â€“ 2) = 0
yÂ =Â (3âˆš5)/8,Â 2
Hence, relationship between x and y cannot be determined
Incorrect
Answer: c
I)Â 3x^{2}â€“ (6 + âˆš5)x + 2âˆš5 = 0Â
3x^{2}Â â€“ 6x â€“ âˆš5x + 2âˆš5 = 0
3x (x â€“ 2) â€“ âˆš5 (x â€“ 2) = 0
(3x â€“ âˆš5) (x â€“ 2) = 0
x =Â âˆš5/3,2
II)Â 8y^{2}â€“ (16 + 3âˆš5)y + 6âˆš5 = 0
8y^{2}Â â€“ 16y â€“ 3âˆš5y + 6âˆš5 = 0
8yÂ (yÂ â€“ 2) â€“ 3âˆš5 (y â€“ 2) = 0
(8yÂ â€“ 3âˆš5) (y â€“ 2) = 0
yÂ =Â (3âˆš5)/8,Â 2
Hence, relationship between x and y cannot be determined
Question 4 of 10
4. Question
Quadratic equations
Directions (1 – 5): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
I) 18xÂ² – 63x + 40 = 0
II) 12yÂ² + 47y + 45 = 0
Correct
Answer: a)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
I) 18xÂ² – 63x + 40 = 0
18xÂ²-15x-48x+40=0
3x(6x-5)-8(6x-5)=0
(3x-8)(6x-5)=0
x=8/3,5/6
II) 12yÂ²+47y+45=0
12yÂ²+27y+20y+45=0
3y(4y+9)+5(4y+9)=0
(3y+5)(4y+9)=0
Y =-5/3,-9/4
Hence, x > y
Incorrect
Answer: a)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
I) 18xÂ² – 63x + 40 = 0
18xÂ²-15x-48x+40=0
3x(6x-5)-8(6x-5)=0
(3x-8)(6x-5)=0
x=8/3,5/6
II) 12yÂ²+47y+45=0
12yÂ²+27y+20y+45=0
3y(4y+9)+5(4y+9)=0
(3y+5)(4y+9)=0
Y =-5/3,-9/4
Hence, x > y
Question 5 of 10
5. Question
Quadratic equations
Directions (1 – 5): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
I) 20xÂ²-119x+176=0
II) 45xÂ²+200x+155=0
Correct
Answer: a)
I) 20xÂ²-119x+176=0
20xÂ²-64x-55x+176=0
4x(5x-16)-11(5x-16)=0
(4x-11)(5x-16)=0
x=11/4,16/5
II) 45xÂ²+200x+155=0
45xÂ²+45x+155x+155=0
45x(x+1)+155(x+1)=0
(45x+155)(x+1)=0
x=-155/45,-1
Hence, x > y
Incorrect
Answer: a)
I) 20xÂ²-119x+176=0
20xÂ²-64x-55x+176=0
4x(5x-16)-11(5x-16)=0
(4x-11)(5x-16)=0
x=11/4,16/5
II) 45xÂ²+200x+155=0
45xÂ²+45x+155x+155=0
45x(x+1)+155(x+1)=0
(45x+155)(x+1)=0
x=-155/45,-1
Hence, x > y
Question 6 of 10
6. Question
Caselet
Directions (6 – 10): Study the following information carefully and answer the questions given below.
The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.
The total number of male labours from village A is what percent of total number of female labours in village B?
Correct
Directions (6 – 10) :
Total population of village A = 2400
Population labours in village A = 33.33% of 2400 = 1/3 * 2400 = 800
Male labours in village A = 800 * 3/5 = 480
Female labours in village A = 800 * 2/5 = 320
Total population of village B = 2100
Population labours in village B = 42.85% of 2400 = 3/7 * 2100 = 900
Male labours in village B = 900 * 5/9 = 500
Female labours in village A = 900 * 4/9 = 400
Answer: b)
Required percentage = 480/400 * 100 = 120%
Incorrect
Directions (6 – 10) :
Total population of village A = 2400
Population labours in village A = 33.33% of 2400 = 1/3 * 2400 = 800
Male labours in village A = 800 * 3/5 = 480
Female labours in village A = 800 * 2/5 = 320
Total population of village B = 2100
Population labours in village B = 42.85% of 2400 = 3/7 * 2100 = 900
Male labours in village B = 900 * 5/9 = 500
Female labours in village A = 900 * 4/9 = 400
Answer: b)
Required percentage = 480/400 * 100 = 120%
Question 7 of 10
7. Question
Caselet
Directions (6 – 10): Study the following information carefully and answer the questions given below.
The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.
Total male labours from both villages is how much approx percentage more or less than the total female labours from both villages?
Correct
Answer: a)
Total male labours from both villages = 480 + 500 = 980
Total female labours from both villages = 320 + 400 = 720
Required percentage = (980 â€“ 720)/720 * 100
= (260 * 100)/720 = 36.11 % = 36% approx
Incorrect
Answer: a)
Total male labours from both villages = 480 + 500 = 980
Total female labours from both villages = 320 + 400 = 720
Required percentage = (980 â€“ 720)/720 * 100
= (260 * 100)/720 = 36.11 % = 36% approx
Question 8 of 10
8. Question
Caselet
Directions (6 – 10): Study the following information carefully and answer the questions given below.
The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.
How many hours the total male labours works in a day from both the villages?
Correct
Answer: c)
Total hours of male labours from both the villages = 480 * 9 + 500 * 7 = 7820 hours.
Incorrect
Answer: c)
Total hours of male labours from both the villages = 480 * 9 + 500 * 7 = 7820 hours.
Question 9 of 10
9. Question
Caselet
Directions (6 – 10): Study the following information carefully and answer the questions given below.
The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.
Find the total numbers of peoples who are not labours in both the villages.
Directions (6 – 10): Study the following information carefully and answer the questions given below.
The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.
Find the difference between the male labours in both the villages to that of female labours in both the villages?
Directions (1 – 5): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
1)
I) 14xÂ² – 5âˆš15 x â€“ 90 = 0
II) 6yÂ² + âˆš21 y â€“ 21 = 0
a) x > y
b) x â‰¥ y
c) x = y or relationship cannot be determined.
d) x < y
e) x â‰¤ y
2)
I) Â 3x^{2}â€“ 13âˆš2x + 24 = 0Â Â
II)Â y^{2}â€“ 4âˆš2y + 6 = 0
a) x > y
b) x â‰¥ y
c) x = y or relationship cannot be determined.
d) x < y
e) x â‰¤ y
3)
I) 3x^{2}â€“ (6 + âˆš5)x + 2âˆš5 = 0Â
II) 8y^{2}â€“ (16 + 3âˆš5)y + 6âˆš5 = 0
a) x > y
b) x â‰¥ y
c) x = y or relationship cannot be determined.
d) x < y
e) x â‰¤ y
4)
I) 18xÂ² – 63x + 40 = 0
II) 12yÂ² + 47y + 45 = 0
a) x > y
b) x â‰¥ y
c) x = y or relationship cannot be determined.
d) x < y
e) x â‰¤ y
5)
I) 20xÂ²-119x+176=0
II) 45xÂ²+200x+155=0
a) x > y
b) x â‰¥ y
c) x = y or relationship cannot be determined.
d) x < y
e) x â‰¤ y
Caselet
Directions (6 – 10): Study the following information carefully and answer the questions given below.
The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.
6) The total number of male labours from village A is what percent of total number of female labours in village B?
a) 130%
b) 120%
c) 125%
d) 135%
e) None of these
7) Total male labours from both villages is how much approx percentage more or less than the total female labours from both villages?
a) 36% more
b) 40% more
c) 39% less
d) 35% less
e) None of these
8) How many hours the total male labours works in a day from both the villages?
a) 8500
b) 8250
c) 7820
d) 8900
e) None of these
9) Find the total numbers of peoples who are not labours in both the villages.
a) 1600
b) 2800
c) 3200
d) 2400
e) None of these
10) Find the difference between the male labours in both the villages to that of female labours in both the villages?
a) 260
b) 300
c) 280
d) 320
e) None of these
Answers :
Directions (1-5) :
1) Answer: c
I) 14xÂ²-5âˆš15 x-90=0
14xÂ²-12âˆš15 x+7âˆš15 x â€“ 90 = 0
2x(7x – 6âˆš15)+ âˆš15(7x – 6âˆš15) = 0
(2x + âˆš15)(7x – 6âˆš15) = 0
x = -âˆš15/2, (6âˆš15)/7
II) 6yÂ²+âˆš21 y-21=0
6yÂ²+3âˆš21 y-2âˆš21 y -21=0
3y(2y+âˆš21)- âˆš21(2y+âˆš21)=0
(3y- âˆš21)(2y+âˆš21)=0
y =âˆš21/3 ,-âˆš21/2
Hence, relationship between x and y cannot be determined
2) Answer: c
I)Â 3x^{2}â€“ 13âˆš2x + 24 = 0
3x^{2}Â â€“ 9âˆš2x â€“ 4âˆš2x + 24 = 0
3x(x â€“ 3âˆš2) â€“ 4âˆš2 (x â€“ 3âˆš2) = 0
(3x â€“ 4âˆš2)(x â€“ 3âˆš2) = 0
x = 4âˆš2/3, 3âˆš2
II)y^{2}â€“ 4âˆš2y + 6 = 0
y^{2}Â â€“ âˆš2y â€“ 3âˆš2y + 6 = 0
y(y â€“ âˆš2) â€“ 3âˆš2 (y â€“ âˆš2) = 0
(y â€“ âˆš2) (y â€“ 3âˆš2) = 0
y = âˆš2, 3âˆš2
Hence, relationship between x and y cannot be determined
3) Answer: c
I)Â 3x^{2}â€“ (6 + âˆš5)x + 2âˆš5 = 0Â
3x^{2}Â â€“ 6x â€“ âˆš5x + 2âˆš5 = 0
3x (x â€“ 2) â€“ âˆš5 (x â€“ 2) = 0
(3x â€“ âˆš5) (x â€“ 2) = 0
x =Â âˆš5/3,2
II)Â 8y^{2}â€“ (16 + 3âˆš5)y + 6âˆš5 = 0
8y^{2}Â â€“ 16y â€“ 3âˆš5y + 6âˆš5 = 0
8yÂ (yÂ â€“ 2) â€“ 3âˆš5 (y â€“ 2) = 0
(8yÂ â€“ 3âˆš5) (y â€“ 2) = 0
yÂ =Â (3âˆš5)/8,Â 2
Hence, relationship between x and y cannot be determined
4) Answer: a)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
I) 18xÂ² – 63x + 40 = 0
18xÂ²-15x-48x+40=0
3x(6x-5)-8(6x-5)=0
(3x-8)(6x-5)=0
x=8/3,5/6
II) 12yÂ²+47y+45=0
12yÂ²+27y+20y+45=0
3y(4y+9)+5(4y+9)=0
(3y+5)(4y+9)=0
Y =-5/3,-9/4
Hence, x > y
5) Answer: a)
I) 20xÂ²-119x+176=0
20xÂ²-64x-55x+176=0
4x(5x-16)-11(5x-16)=0
(4x-11)(5x-16)=0
x=11/4,16/5
II) 45xÂ²+200x+155=0
45xÂ²+45x+155x+155=0
45x(x+1)+155(x+1)=0
(45x+155)(x+1)=0
x=-155/45,-1
Hence, x > y
Directions (6 – 10) :
Total population of village A = 2400
Population labours in village A = 33.33% of 2400 = 1/3 * 2400 = 800
Male labours in village A = 800 * 3/5 = 480
Female labours in village A = 800 * 2/5 = 320
Total population of village B = 2100
Population labours in village B = 42.85% of 2400 = 3/7 * 2100 = 900
Male labours in village B = 900 * 5/9 = 500
Female labours in village A = 900 * 4/9 = 400
6) Answer: b)
Required percentage = 480/400 * 100 = 120%
7) Answer: a)
Total male labours from both villages = 480 + 500 = 980
Total female labours from both villages = 320 + 400 = 720
Required percentage = (980 â€“ 720)/720 * 100
= (260 * 100)/720 = 36.11 % = 36% approx
8) Answer: c)
Total hours of male labours from both the villages = 480 * 9 + 500 * 7 = 7820 hours.