“20-20” Quantitative Aptitude | Crack IBPS PO Prelims 2018 Day-196
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Directions (1 – 5) what value should come in place of question mark (?) in the following questions?
6394 ÷ 23 + 114 × 17 – (36)2 = ?
Correct
Answer: b)
(6394/23) + (114*17) – 362 = x
X = 278 + 1938 – 1296
X = 920
Incorrect
Answer: b)
(6394/23) + (114*17) – 362 = x
X = 278 + 1938 – 1296
X = 920
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,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
5x2 + 16x – 16 = 0
4y2 + 3y – 22 = 0
Correct
Answer: e)
I. 5x2 + 16x – 16 = 0
5x2 + 20x – 4x – 16 = 0
5x(x + 4) – 4 (x + 4) = 0
(5x – 4) (x + 4) = 0
X = 4/5, -4 = 0.8, -4
II. 4y2 + 3y – 22 = 0
4y2 -8y + 11y – 22 = 0
4y(y – 2) + 11 (y – 2) = 0
(4y + 11) (y – 2) = 0
Y = -11/4, 2 = -2.75, 2
Can’t be determined
Incorrect
Answer: e)
I. 5x2 + 16x – 16 = 0
5x2 + 20x – 4x – 16 = 0
5x(x + 4) – 4 (x + 4) = 0
(5x – 4) (x + 4) = 0
X = 4/5, -4 = 0.8, -4
II. 4y2 + 3y – 22 = 0
4y2 -8y + 11y – 22 = 0
4y(y – 2) + 11 (y – 2) = 0
(4y + 11) (y – 2) = 0
Y = -11/4, 2 = -2.75, 2
Can’t be determined
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,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
x2 = 4624
y3 – 248 = 373000
Correct
Answer: c)
I. x2 = 4624
X = 68, -68
II. y3 – 248 = 373000
y3 = 373000 + 248 = 373248
y = 72
x < y
Incorrect
Answer: c)
I. x2 = 4624
X = 68, -68
II. y3 – 248 = 373000
y3 = 373000 + 248 = 373248
y = 72
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,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
x2 – 4x – 621 = 0
y2 – 34y + 285 = 0
Correct
Answer: e)
x2 – 4x – 621 = 0
(x +23) (x – 27) = 0
X = -23, 27
y2 – 34y + 285 = 0
(y – 19)(y – 15) = 0
Y = 19, 15
Can’t be determined
Incorrect
Answer: e)
x2 – 4x – 621 = 0
(x +23) (x – 27) = 0
X = -23, 27
y2 – 34y + 285 = 0
(y – 19)(y – 15) = 0
Y = 19, 15
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,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
6x + 5y = √2809
5x + 7y = 64
Correct
Answer: c)
I. 6x + 5y = √2809
6x + 5y = 53 -à(1)
II. 5x + 7y = 64
5x + 7y = 64 –à(2)
By solving the equation (1) and (2), we get,
X = 3, y = 7
X < y
Incorrect
Answer: c)
I. 6x + 5y = √2809
6x + 5y = 53 -à(1)
II. 5x + 7y = 64
5x + 7y = 64 –à(2)
By solving the equation (1) and (2), we get,
X = 3, y = 7
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,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
x2 + 7x – 330 = 0
y = (194481)1/4
Correct
Answer: c)
x2 + 7x – 330 = 0
(x – 15) (x + 22) = 0
X = 15, -22
y = √441
Y = 21
X < y
Incorrect
Answer: c)
x2 + 7x – 330 = 0
(x – 15) (x + 22) = 0
X = 15, -22
y = √441
Y = 21
X < y
Question 11 of 20
11. Question
A, B and C can do a piece of work in 15 days, 18 days and 24 days respectively. They started work together, but after 5 days A left the work, B left the work 6 days before the completion of the work. In how many days the work gets completed?
Correct
Answer: a)
According to the question,
(5/15) + [(x – 6)/18] + (x/24) = 1
(1/3) + [(x – 6)/18] + (x/24) = 1
[(x – 6)/18] + (x/24) = 1 – (1/3)
[(x – 6)/18] + (x/24) = 2/3
(4x – 24 + 3x)/72 = 2/3
7x – 24 = 48
7x = 72
X = 72/7 = 10 2/7 days
Incorrect
Answer: a)
According to the question,
(5/15) + [(x – 6)/18] + (x/24) = 1
(1/3) + [(x – 6)/18] + (x/24) = 1
[(x – 6)/18] + (x/24) = 1 – (1/3)
[(x – 6)/18] + (x/24) = 2/3
(4x – 24 + 3x)/72 = 2/3
7x – 24 = 48
7x = 72
X = 72/7 = 10 2/7 days
Question 12 of 20
12. Question
Twenty four percentage of Vasu’s monthly salary is sixteen percentage of Gowtham’s monthly salary. If Gowtham’s annual salary is 7.2 lakhs, then find the monthly salary of Vasu?
The ratio of Vasu and Gowtham’s monthly salary = (16/24) = (2/3) = 2: 3
The ratio of monthly salary of Vasu and Gowtham = 2: 3
Gowtham’s annual salary = 7.2 lakhs
Gowtham’s monthly salary = 720000/12 = Rs. 60000
Vasu’s monthly salary = (60000/3)*2 = Rs. 40000
Question 13 of 20
13. Question
A box contains 3 blue, 5 pink and 4 yellow balls. If 3 balls are drawn at randomly, then find the probability of taking 2 pink balls?
Correct
Answer: b)
Total probability n(S) = 12C3
Required probability n(E) = 5C2 and 7C1
P(E) = n(E)/n(S) = [5C2 and 7C1]/12C3
= > 7/22
Incorrect
Answer: b)
Total probability n(S) = 12C3
Required probability n(E) = 5C2 and 7C1
P(E) = n(E)/n(S) = [5C2 and 7C1]/12C3
= > 7/22
Question 14 of 20
14. Question
P, Q and R started a business by investing in the ratio of 5 : 6 : 9 respectively. After 5 months, P withdraws Rs. 4000 and the same time Q invested Rs. 8000. Find the initial investment of R, if the ratio between the shares of P, Q and R is 68 : 104 : 135?
The length of the rectangle is increased by 10 % and the breadth of the rectangle is decreased by 20 %. Find the percentage change in the area?
Correct
Answer: c)
Percentage change = l + b + (lb/100)
= > 10 – 20 – [(10*20)/100]
= > 10 – 20 – 2
= > -12
So, 12 % decreased
Incorrect
Answer: c)
Percentage change = l + b + (lb/100)
= > 10 – 20 – [(10*20)/100]
= > 10 – 20 – 2
= > -12
So, 12 % decreased
Question 16 of 20
16. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of bikes sold by different showrooms (A, B and C) in different months.
Total number of bikes sold by all the given showrooms in August is approximately what percentage of total number of bikes sold by all the given showrooms in November?
Correct
Answer: c)
Total number of bikes sold by all the given showrooms in August
= > 560 + 640 + 480 = 1680
Total number of bikes sold by all the given showrooms in November
= > 450 + 620 + 580 = 1650
Required % = (1680/1650)*100 = 101.81 % = 102 %
Incorrect
Answer: c)
Total number of bikes sold by all the given showrooms in August
= > 560 + 640 + 480 = 1680
Total number of bikes sold by all the given showrooms in November
= > 450 + 620 + 580 = 1650
Required % = (1680/1650)*100 = 101.81 % = 102 %
Question 17 of 20
17. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of bikes sold by different showrooms (A, B and C) in different months.
Find the average number of bikes sold by showroom C in all the given months together?
Correct
Answer: a)
The total number of bikes sold by showroom C in all the given months together
= > 360 + 480 + 320 + 530 + 580 + 610 = 2880
Required average = 2880/6 = 480
Incorrect
Answer: a)
The total number of bikes sold by showroom C in all the given months together
= > 360 + 480 + 320 + 530 + 580 + 610 = 2880
Required average = 2880/6 = 480
Question 18 of 20
18. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of bikes sold by different showrooms (A, B and C) in different months.
Find the difference between the total number of bikes sold by Showroom A to that of Showroom B in all the given months together?
Correct
Answer: d)
The total number of bikes sold by Showroom A in all the given months together
= > 500 + 560 + 600 + 520 + 450 + 650 = 3280
The total number of bikes sold by Showroom B in all the given months together
= > 420 + 640 + 470 + 540 + 620 + 680 = 3370
Required difference = 3370 – 3280 = 90
Incorrect
Answer: d)
The total number of bikes sold by Showroom A in all the given months together
= > 500 + 560 + 600 + 520 + 450 + 650 = 3280
The total number of bikes sold by Showroom B in all the given months together
= > 420 + 640 + 470 + 540 + 620 + 680 = 3370
Required difference = 3370 – 3280 = 90
Question 19 of 20
19. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of bikes sold by different showrooms (A, B and C) in different months.
Find the ratio between the total number of bikes sold by all the given showrooms together in July to that in October?
Correct
Answer: b)
The total number of bikes sold by all the given months together in July
= > 500 + 420 + 360 = 1280
The total number of bikes sold by all the given months together in October
= > 520 + 540 + 530 = 1590
Required ratio = 1280: 1590 = 128: 159
Incorrect
Answer: b)
The total number of bikes sold by all the given months together in July
= > 500 + 420 + 360 = 1280
The total number of bikes sold by all the given months together in October
= > 520 + 540 + 530 = 1590
Required ratio = 1280: 1590 = 128: 159
Question 20 of 20
20. Question
Directions (16 – 20): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of bikes sold by different showrooms (A, B and C) in different months.
Total number of bikes sold by showroom A and C together in the month of September is approximately what percentage more/less than the total number of bikes sold by showroom B and C together in the month of December?
Correct
Answer: d)
Total number of bikes sold by showroom A and C together in the month of September
= > 600 + 320 = 920
Total number of bikes sold by showroom B and C together in the month of December
Directions (1 – 5) what value should come in place of question mark (?) in the following questions?
1) 9 × (?) ÷ (12 × 156) – 256 = 23
a) 42368
b) 58032
c) 51780
d) 36894
e) None of these
2) 54 % of 4750 + (8/17) of 34119 = ?
a) 21546
b) 14783
c) 25632
d) 18621
e) None of these
3) (4725 ÷ 189)1/2 + (722 ÷ 19)2 = ?2 + 360
a) 33
b) 52
c) 21
d) 45
e) None of these
4) 75 % of 640 ÷ 24 + 4 % of 225 = ?2 + 20 % of 20
a) 12
b) 25
c) 5
d) 30
e) None of these
5) 6394 ÷ 23 + 114 × 17 – (36)2 = ?
a) 850
b) 920
c) 780
d) 660
e) None of these
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,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
6) I. 5x2 + 16x – 16 = 0
II. 4y2 + 3y – 22 = 0
7) I. x2 = 4624
II. y3 – 248 = 373000
8) I. x2 – 4x – 621 = 0
II. y2 – 34y + 285 = 0
9) I. 6x + 5y = √2809
II. 5x + 7y = 64
10) I. x2 + 7x – 330 = 0
II. y = (194481)1/4
11) A, B and C can do a piece of work in 15 days, 18 days and 24 days respectively. They started work together, but after 5 days A left the work, B left the work 6 days before the completion of the work. In how many days the work gets completed?
a) 10 2/7 days
b) 8 4/5 days
c) 9 3/8 days
d) 11 5/6 days
e) None of these
12) Twenty four percentage of Vasu’s monthly salary is sixteen percentage of Gowtham’s monthly salary. If Gowtham’s annual salary is 7.2 lakhs, then find the monthly salary of Vasu?
a) Rs. 50000
b) Rs. 60000
c) Rs. 65000
d) Rs. 40000
e) None of these
13) A box contains 3 blue, 5 pink and 4 yellow balls. If 3 balls are drawn at randomly, then find the probability of taking 2 pink balls?
a) 6/21
b) 7/22
c) 9/35
d) 12/49
e) None of these
14) P, Q and R started a business by investing in the ratio of 5 : 6 : 9 respectively. After 5 months, P withdraws Rs. 4000 and the same time Q invested Rs. 8000. Find the initial investment of R, if the ratio between the shares of P, Q and R is 68 : 104 : 135?
a) Rs. 45000
b) Rs. 36000
c) Rs. 42000
d) Rs. 38000
e) None of these
15) The length of the rectangle is increased by 10 % and the breadth of the rectangle is decreased by 20 %. Find the percentage change in the area?
a) 18 % increased
b) 10 % decreased
c) 12 % decreased
d) 16 % increased
e) None of these
Directions (16 – 20): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of bikes sold by different showrooms (A, B and C) in different months.
16) Total number of bikes sold by all the given showrooms in August is approximately what percentage of total number of bikes sold by all the given showrooms in November?
a) 87 %
b) 75 %
c) 102 %
d) 119 %
e) 125 %
17) Find the average number of bikes sold by showroom C in all the given months together?
a) 480
b) 520
c) 490
d) 500
e) None of these
18) Find the difference between the total number of bikes sold by Showroom A to that of Showroom B in all the given months together?
a) 150
b) 120
c) 70
d) 90
e) None of these
19) Find the ratio between the total number of bikes sold by all the given showrooms together in July to that in October?
a) 117: 145
b) 128: 159
c) 134: 177
d) 152: 213
e) None of these
20) Total number of bikes sold by showroom A and C together in the month of September is approximately what percentage more/less than the total number of bikes sold by showroom B and C together in the month of December?
