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
I) x^{2} + 12x + 20 = 0
II) y^{2} + 13y + 22 = 0
Correct
Answer: c)
x^{2} + 12x + 20 = 0
x^{2} + 10x + 2x + 20 = 0
x(x + 10) + 2(x + 10) = 0
(x + 2)(x + 10) = 0
x= -2, -10
y^{2} + 13y + 22 = 0
y^{2} + 11y + 2y + 22 = 0
y(y + 11) + 2(y + 11) = 0
(y + 2)(y + 11) = 0
y = -2, -11
Relationship between x and y cannot be established.
Incorrect
Answer: c)
x^{2} + 12x + 20 = 0
x^{2} + 10x + 2x + 20 = 0
x(x + 10) + 2(x + 10) = 0
(x + 2)(x + 10) = 0
x= -2, -10
y^{2} + 13y + 22 = 0
y^{2} + 11y + 2y + 22 = 0
y(y + 11) + 2(y + 11) = 0
(y + 2)(y + 11) = 0
y = -2, -11
Relationship between x and y cannot be established.
Question 2 of 10
2. Question
I) x^{2} + 23x + 120 = 0
II) y^{2} + 13y + 42 = 0
Correct
Answer: d)
x^{2} + 23x + 120 = 0
x^{2} + 8x + 15x + 120 = 0
x(x + 8) + 15(x + 8) = 0
(x + 15)(x + 8) = 0
x = -15, -8
y^{2} + 13y + 42 = 0
y^{2} + 7y + 6y + 42 = 0
y(y + 7) + 6(y + 7) = 0
(y + 6)(y + 7) = 0
y = -6, -7
Hence x < y
Incorrect
Answer: d)
x^{2} + 23x + 120 = 0
x^{2} + 8x + 15x + 120 = 0
x(x + 8) + 15(x + 8) = 0
(x + 15)(x + 8) = 0
x = -15, -8
y^{2} + 13y + 42 = 0
y^{2} + 7y + 6y + 42 = 0
y(y + 7) + 6(y + 7) = 0
(y + 6)(y + 7) = 0
y = -6, -7
Hence x < y
Question 3 of 10
3. Question
I) x^{2} â€“ 21x + 90 = 0
II) y^{2} â€“ y â€“20 = 0
Correct
Answer: a)
x^{2} â€“ 21x + 90 = 0
x^{2} â€“ 15x â€“ 6x + 90 = 0
x(x â€“ 15) â€“ 6(x â€“ 15) = 0
(x â€“ 6)(x â€“ 15) = 0
x = 6, 15
y^{2} â€“ y â€“ 20 = 0
y^{2} â€“ 5y + 4y â€“ 20 = 0
y(y â€“ 5) + 4(y â€“ 5) = 0
(y + 4)(y â€“ 5) = 0
y = -4, 5
Hence x > y
Incorrect
Answer: a)
x^{2} â€“ 21x + 90 = 0
x^{2} â€“ 15x â€“ 6x + 90 = 0
x(x â€“ 15) â€“ 6(x â€“ 15) = 0
(x â€“ 6)(x â€“ 15) = 0
x = 6, 15
y^{2} â€“ y â€“ 20 = 0
y^{2} â€“ 5y + 4y â€“ 20 = 0
y(y â€“ 5) + 4(y â€“ 5) = 0
(y + 4)(y â€“ 5) = 0
y = -4, 5
Hence x > y
Question 4 of 10
4. Question
I) x^{2} â€“ 2x â€“ 48 = 0
II) y^{2} + 14y + 48 = 0
Correct
Answer: b)
x^{2} â€“ 2x â€“ 48 = 0
x^{2} â€“ 8x + 6x â€“ 48 = 0
x(x â€“ 8) + 6(x â€“ 8) = 0
(x + 6)(x â€“ 8) = 0
x = -6, 8
y^{2} +14y + 48 = 0
y^{2} + 8y + 6y + 48 = 0
y(y + 8) + 6(y + 8) = 0
(y + 6)(y + 8) = 0
y = -6, -8
Hence x â‰¥ y
Incorrect
Answer: b)
x^{2} â€“ 2x â€“ 48 = 0
x^{2} â€“ 8x + 6x â€“ 48 = 0
x(x â€“ 8) + 6(x â€“ 8) = 0
(x + 6)(x â€“ 8) = 0
x = -6, 8
y^{2} +14y + 48 = 0
y^{2} + 8y + 6y + 48 = 0
y(y + 8) + 6(y + 8) = 0
(y + 6)(y + 8) = 0
y = -6, -8
Hence x â‰¥ y
Question 5 of 10
5. Question
I) x^{2} + 234 = 718
II) y^{2} = âˆš484
Correct
Answer: e)
x^{2} + 234 = 718
x^{2} = 718 â€“ 234 = 484
x = -22, 22
y^{2} = âˆš484
y = 22
Hence x â‰¤ y
Incorrect
Answer: e)
x^{2} + 234 = 718
x^{2} = 718 â€“ 234 = 484
x = -22, 22
y^{2} = âˆš484
y = 22
Hence x â‰¤ y
Question 6 of 10
6. Question
What is the difference between the number of HR department employees from A and B?
Correct
Directions (6 – 10):
Number of IT department employees from B = 140
Number of sales department employees from B = 9/5 * 140 = 252
Number of sales department employees from A = Â½ * 252 = 126
Number of IT department employees from A = 5/7 * 126 = 90
Number of HR department employees from A = 4/7 * 126 = 72
Total number of employees from A = 126 + 90 + 72 = 288
Total number of employees from B = 100/50 * 288 = 576
Number of HR department employees from B = 576 â€“ 140 â€“ 252 = 184
Answer: b)
Difference = 184 â€“ 72 = 112
Incorrect
Directions (6 – 10):
Number of IT department employees from B = 140
Number of sales department employees from B = 9/5 * 140 = 252
Number of sales department employees from A = Â½ * 252 = 126
Number of IT department employees from A = 5/7 * 126 = 90
Number of HR department employees from A = 4/7 * 126 = 72
Total number of employees from A = 126 + 90 + 72 = 288
Total number of employees from B = 100/50 * 288 = 576
Number of HR department employees from B = 576 â€“ 140 â€“ 252 = 184
Answer: b)
Difference = 184 â€“ 72 = 112
Question 7 of 10
7. Question
What is the total number of employees from A?
Correct
Answer: a)
Total number of employees from A = 126 + 90 + 72 = 288
Incorrect
Answer: a)
Total number of employees from A = 126 + 90 + 72 = 288
Question 8 of 10
8. Question
The number of Sales department employees from B is approximately what percent of the total number of employees from B?
Correct
Answer: a)
Number of sales department employees from B = (9/5) * 140 = 252
Total number of employees from B = (100/50) * 288 = 576
Required percentage = (252/576) * 100 = 43.75%
Incorrect
Answer: a)
Number of sales department employees from B = (9/5) * 140 = 252
Total number of employees from B = (100/50) * 288 = 576
Required percentage = (252/576) * 100 = 43.75%
Question 9 of 10
9. Question
What is the ratio of the number of IT employees from A to B?
Correct
Answer: b)
Number of IT department employees from B = 140
Number of IT department employees from A = 5/7 * 126 = 90
Required ratio = 90: 140
=9: 14
Incorrect
Answer: b)
Number of IT department employees from B = 140
Number of IT department employees from A = 5/7 * 126 = 90
Required ratio = 90: 140
=9: 14
Question 10 of 10
10. Question
What is the difference between the total number of sales department employees from A and B together and the total number of HR department employees from A and B together?
Correct
Answer: a)
Number of sales department employees from B = 9/5 * 140 = 252
Number of sales department employees from A = Â½ * 252 = 126
Number of HR department employees from B = 576 â€“ 140 â€“ 252 = 184
Number of HR department employees from A = 4/7 * 126 = 72
Required ratio = (252 + 126) â€“ (184 + 72)
= 122
Incorrect
Answer: a)
Number of sales department employees from B = 9/5 * 140 = 252
Number of sales department employees from A = Â½ * 252 = 126
Number of HR department employees from B = 576 â€“ 140 â€“ 252 = 184
Number of HR department employees from A = 4/7 * 126 = 72
Required ratio = (252 + 126) â€“ (184 + 72)
= 122
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,
a) If x > y
b) If x â‰¥ y
c) If x = y or relationship cannot be determined
d) If x < y
e) If x â‰¤ y
1)
I) x^{2} + 12x + 20 = 0
II) y^{2} + 13y + 22 = 0
2)
I) x^{2} + 23x + 120 = 0
II) y^{2} + 13y + 42 = 0
3)
I) x^{2} â€“ 21x + 90 = 0
II) y^{2} â€“ y â€“20 = 0
4)
I) x^{2} â€“ 2x â€“ 48 = 0
II) y^{2} + 14y + 48 = 0
5)
I) x2 + 234 = 718
II) y2 = âˆš484
Caselet
Directions (6 – 10): Study the following information carefully and answer the questions given below.
In company A, the ratio of number of employees in IT, HR and Sales department is 5: 4: 7. The ratio of the number of employees in Sales to IT department from B is 9: 5. Total number of employees from A is 50% of the total number of employees from B and the number of IT employees from B is 140. The ratio of number of sales department employees from A to B is 1: 2.
6) What is the difference between the number of HR department employees from A and B?
a) 110
b) 112
c) 115
d) 118
e) None of these
7) What is the total number of employees from A?
a) 288
b) 292
c) 312
d) 310
e) None of these
8) The number of Sales department employees from B is approximately what percent of the total number of employees from B?
a) 43.75%
b) 42.80%
c) 41.85%
d) 40.50%
e) None of these
9) What is the ratio of the number of IT employees from A to B?
a) 11: 7
b) 9: 14
c) 5: 7
d) 1: 2
e) None of these
10) What is the difference between the total number of sales department employees from A and B together and the total number of HR department employees from A and B together?
a) 122
b) 128
c) 132
d) 138
e) None of these
Answers :
Directions (1-5) :
1) Answer: c)
x^{2} + 12x + 20 = 0
x^{2} + 10x + 2x + 20 = 0
x(x + 10) + 2(x + 10) = 0
(x + 2)(x + 10) = 0
x= -2, -10
y^{2} + 13y + 22 = 0
y^{2} + 11y + 2y + 22 = 0
y(y + 11) + 2(y + 11) = 0
(y + 2)(y + 11) = 0
y = -2, -11
Relationship between x and y cannot be established.
2) Answer: d)
x^{2} + 23x + 120 = 0
x^{2} + 8x + 15x + 120 = 0
x(x + 8) + 15(x + 8) = 0
(x + 15)(x + 8) = 0
x = -15, -8
y^{2} + 13y + 42 = 0
y^{2} + 7y + 6y + 42 = 0
y(y + 7) + 6(y + 7) = 0
(y + 6)(y + 7) = 0
y = -6, -7
Hence x < y
3) Answer: a)
x^{2} â€“ 21x + 90 = 0
x^{2} â€“ 15x â€“ 6x + 90 = 0
x(x â€“ 15) â€“ 6(x â€“ 15) = 0
(x â€“ 6)(x â€“ 15) = 0
x = 6, 15
y^{2} â€“ y â€“ 20 = 0
y^{2} â€“ 5y + 4y â€“ 20 = 0
y(y â€“ 5) + 4(y â€“ 5) = 0
(y + 4)(y â€“ 5) = 0
y = -4, 5
Hence x > y
4) Answer: b)
x^{2} â€“ 2x â€“ 48 = 0
x^{2} â€“ 8x + 6x â€“ 48 = 0
x(x â€“ 8) + 6(x â€“ 8) = 0
(x + 6)(x â€“ 8) = 0
x = -6, 8
y^{2} +14y + 48 = 0
y^{2} + 8y + 6y + 48 = 0
y(y + 8) + 6(y + 8) = 0
(y + 6)(y + 8) = 0
y = -6, -8
Hence x â‰¥ y
5) Answer: e)
x^{2} + 234 = 718
x^{2} = 718 â€“ 234 = 484
x = -22, 22
y^{2} = âˆš484
y = 22
Hence x â‰¤ y
Directions (6 – 10):
Number of IT department employees from B = 140
Number of sales department employees from B = 9/5 * 140 = 252
Number of sales department employees from A = Â½ * 252 = 126
Number of IT department employees from A = 5/7 * 126 = 90
Number of HR department employees from A = 4/7 * 126 = 72
Total number of employees from A = 126 + 90 + 72 = 288
Total number of employees from B = 100/50 * 288 = 576
Number of HR department employees from B = 576 â€“ 140 â€“ 252 = 184
6) Answer: b)
Difference = 184 â€“ 72 = 112
7) Answer: a)
Total number of employees from A = 126 + 90 + 72 = 288
8) Answer: a)
Number of sales department employees from B = (9/5) * 140 = 252
Total number of employees from B = (100/50) * 288 = 576
Required percentage = (252/576) * 100 = 43.75%
9) Answer: b)
Number of IT department employees from B = 140
Number of IT department employees from A = 5/7 * 126 = 90
Required ratio = 90: 140
=9: 14
10) Answer: a)
Number of sales department employees from B = 9/5 * 140 = 252
Number of sales department employees from A = Â½ * 252 = 126
Number of HR department employees from B = 576 â€“ 140 â€“ 252 = 184
Number of HR department employees from A = 4/7 * 126 = 72
Required ratio = (252 + 126) â€“ (184 + 72)
= 122
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