“20-20” Quantitative Aptitude | Crack SBI PO Prelims 2018 Day-90
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“20-20” Aptitude Questions | Crack SBI PO Prelims 2018 Day-90
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Question 1 of 20
1. Question
Directions (Q. 1 – 5): What approximate value should come in place of question mark (?) in the following questions?
39.98 % of 4310 + 58.79 % of 5003 =? – 3867.87
Correct
Answer c
40 % of 4300 + 59 % of 5000 = x – 3868
(40/100)*4300 + (59/100)*5000 + 3868 = x
X = 1720 + 2950 + 3868
X = 8538 = 8540
Incorrect
Answer c
40 % of 4300 + 59 % of 5000 = x – 3868
(40/100)*4300 + (59/100)*5000 + 3868 = x
X = 1720 + 2950 + 3868
X = 8538 = 8540
Question 2 of 20
2. Question
Directions (Q. 1 – 5): What approximate value should come in place of question mark (?) in the following questions?
√11450 × √6240 – (53.96)^{2} = √? + (74.01)^{2}
Correct
Answer d
√11449 × √6241 – (53.96)^{2} = √? + (74.01)^{2}
107 * 79 – 54^{2} – 74^{2} = √x
8453 – 2916 – 5476 = √x
61 = √x
X = 61^{2} = 3721
Incorrect
Answer d
√11449 × √6241 – (53.96)^{2} = √? + (74.01)^{2}
107 * 79 – 54^{2} – 74^{2} = √x
8453 – 2916 – 5476 = √x
61 = √x
X = 61^{2} = 3721
Question 3 of 20
3. Question
Directions (Q. 1 – 5): What approximate value should come in place of question mark (?) in the following questions?
362.98 × 290.06 – 18765.30 =? + 5883.21
Correct
Answer a
363 * 290 – 18765 – 5883 = x
X = 105270 – 24648 = 80622
Incorrect
Answer a
363 * 290 – 18765 – 5883 = x
X = 105270 – 24648 = 80622
Question 4 of 20
4. Question
Directions (Q. 1 – 5): What approximate value should come in place of question mark (?) in the following questions?
(839.75 – 384.45) ÷ 24.01 + 786.93 =?
Correct
Answer b
(840 – 384)/24 + 787 = x
X = 456/24 + 787
X = 20 + 787 = 807 = 810
Incorrect
Answer b
(840 – 384)/24 + 787 = x
X = 456/24 + 787
X = 20 + 787 = 807 = 810
Question 5 of 20
5. Question
Directions (Q. 1 – 5): What approximate value should come in place of question mark (?) in the following questions?
1548.45 + 3060.95 ÷ 15.03 =? – 793.893
Correct
Answer c
1548 + 3060/15 = x – 794
1548 + 204 + 794 = x
X = 2546 = 2550
Incorrect
Answer c
1548 + 3060/15 = x – 794
1548 + 204 + 794 = x
X = 2546 = 2550
Question 6 of 20
6. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
36, 43, 75, 150,?
Correct
Answer a
The pattern is, +(3^{2} – 2), +(6^{2} – 4), +(9^{2} – 6), +(12^{2} – 8),..
The answer is, 286
Incorrect
Answer a
The pattern is, +(3^{2} – 2), +(6^{2} – 4), +(9^{2} – 6), +(12^{2} – 8),..
The answer is, 286
Question 7 of 20
7. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
15, 16, 63, 568,?
Correct
Answer d
The pattern is, *1^{2} + 1, *2^{2} – 1, *3^{2} + 1, *4^{2} – 1,..
The answer is, 9087
Incorrect
Answer d
The pattern is, *1^{2} + 1, *2^{2} – 1, *3^{2} + 1, *4^{2} – 1,..
The answer is, 9087
Question 8 of 20
8. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
24, 26, 55, 169, ?, 3411
Correct
Answer c
The pattern is, *1 + 2, *2 +3, *3 +4, *4 +5, *5 +6…
The answer is, 681
Incorrect
Answer c
The pattern is, *1 + 2, *2 +3, *3 +4, *4 +5, *5 +6…
The answer is, 681
Question 9 of 20
9. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
147, 162, 183, 216, ? , 342
Correct
Answer b
147 162 183 216 ? 342
15 21 33 51 75
6 12 18 24
The difference of difference is, 6, 12, 18, 24…
The answer is, 267
Incorrect
Answer b
147 162 183 216 ? 342
15 21 33 51 75
6 12 18 24
The difference of difference is, 6, 12, 18, 24…
The answer is, 267
Question 10 of 20
10. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
131, 145, 162, 182, ? , 231
Correct
Answer a
The pattern is, + [(3*5) – 1], + [(3*6) – 1], + [(3*7) – 1], + [(3*8) – 1],..
The answer is, 205
(Or)
131 145 162 182 ? 231
14 17 20 23 26
3 3 3 3
The answer is 205
Incorrect
Answer a
The pattern is, + [(3*5) – 1], + [(3*6) – 1], + [(3*7) – 1], + [(3*8) – 1],..
The answer is, 205
(Or)
131 145 162 182 ? 231
14 17 20 23 26
3 3 3 3
The answer is 205
Question 11 of 20
11. Question
Rajesh borrowed Rs. 50000 from a bank at a rate of 8 % per annum for two years at simple interest and lends the same money to Moni at the rate of 8 % for two years but he charged compound interest. What is the overall gain of Rajesh?
Correct
Answer c
Here gain is the difference between simple interest and compound interest.
Difference = Sum*(r/100)^{2}
= > 50000*(8/100)^{2}
= > 50000*(64/10000)
= > 64*5
Overall gain = Rs. 320
Incorrect
Answer c
Here gain is the difference between simple interest and compound interest.
Difference = Sum*(r/100)^{2}
= > 50000*(8/100)^{2}
= > 50000*(64/10000)
= > 64*5
Overall gain = Rs. 320
Question 12 of 20
12. Question
In an examination, Rakesh scored 52% marks and failed by 23 marks. In the same examination, Radhika scored 64% marks and get 34 marks more than the passing marks. What is the score of Mohan in the same examination, who secured 84% marks?
Correct
Answer b
Here passing marks equal, so,
= > 52 % of total marks + 23 = 64 % of total marks – 34
= > 23 + 34 = (64 – 52) % of total marks
= > 57 = 12 % of total marks
= > Total marks = 57*(100/12) = 475
Mohan’s mark = (84/100)*475 = 399
Incorrect
Answer b
Here passing marks equal, so,
= > 52 % of total marks + 23 = 64 % of total marks – 34
= > 23 + 34 = (64 – 52) % of total marks
= > 57 = 12 % of total marks
= > Total marks = 57*(100/12) = 475
Mohan’s mark = (84/100)*475 = 399
Question 13 of 20
13. Question
Sree’s brother is 3 years elder to her. Sree’s father was 28 years of age when Sree’s sister was born while Sree’s mother was 26 years of age when Sree was born. If Sree’s sister was 4 years of age when Sree’s brother was born, then what was the age Sree’s father when Sree’s brother was born?
Correct
Answer d
Let Sree age be x
Then
Sree’s brother age = x + 3
Sree’s mother age = x + 26
Sree’s sister age = (x + 3) + 4 = x + 7
Sree’s father age = (x + 7) + 28 = x + 35
Age of Sree’s father when Sree’s brother was born = x + 35 – (x + 3) = 32 years
Incorrect
Answer d
Let Sree age be x
Then
Sree’s brother age = x + 3
Sree’s mother age = x + 26
Sree’s sister age = (x + 3) + 4 = x + 7
Sree’s father age = (x + 7) + 28 = x + 35
Age of Sree’s father when Sree’s brother was born = x + 35 – (x + 3) = 32 years
Question 14 of 20
14. Question
Pipe P and Q fill the tank in 15 min and 30 min respectively. If both the pipes are opened, after how much time Q should be closed so as to fill the tank in 11 min?
Correct
Answer a
Pipe P and Q’s one min work = (1/15) + (1/30) = (1/10)
After x min pipe Q closed, so,
11/15 +x/30 = 1
22+x=30
8 = x
After 8 min, Pipe Q is closed.
Incorrect
Answer a
Pipe P and Q’s one min work = (1/15) + (1/30) = (1/10)
After x min pipe Q closed, so,
11/15 +x/30 = 1
22+x=30
8 = x
After 8 min, Pipe Q is closed.
Question 15 of 20
15. Question
12 men and 20 women can complete a piece of work in 10 days while 6 men and 15 women can complete the same work in 15 days. Then find 10 men and 15 women to complete the same work in?
Correct
Answer c
Here work equal. So,
(12m+20w)*10= (6m+15w)*15
120m + 200w= 90m + 225w
30m = 25w
m /w=5/6
m = (5/6)*w
12m + 20w = 12*(5/6)w + 20w = 10w + 20w = 30 w
10 m + 15w = 10*(5/6)w + 15 w = (25/3)w + 15w 70/3 w
Women days
30 10
(70/3) ?
30*10 = (70/3)*x
X = 300*(3/70) = 90/7 = 12 6/7 days
Incorrect
Answer c
Here work equal. So,
(12m+20w)*10= (6m+15w)*15
120m + 200w= 90m + 225w
30m = 25w
m /w=5/6
m = (5/6)*w
12m + 20w = 12*(5/6)w + 20w = 10w + 20w = 30 w
10 m + 15w = 10*(5/6)w + 15 w = (25/3)w + 15w 70/3 w
Women days
30 10
(70/3) ?
30*10 = (70/3)*x
X = 300*(3/70) = 90/7 = 12 6/7 days
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
Year
M
N
O
Total
S: Us
Total
S: Us
Total
S: Us
2013
45
5 : 4
55
3 : 2
40
2 : 3
2014
72
3 : 1
64
3 : 1
48
1 : 3
2015
66
6 : 5
81
4 : 5
85
12 : 5
2016
48
3 : 1
49
4 : 3
75
13 : 2
2017
85
8 : 9
68
13 : 4
54
1 : 1
Find the total no of items sold by Company M in all the given years together?
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
Year
M
N
O
Total
S: Us
Total
S: Us
Total
S: Us
2013
45
5 : 4
55
3 : 2
40
2 : 3
2014
72
3 : 1
64
3 : 1
48
1 : 3
2015
66
6 : 5
81
4 : 5
85
12 : 5
2016
48
3 : 1
49
4 : 3
75
13 : 2
2017
85
8 : 9
68
13 : 4
54
1 : 1
Find the ratio between the total no of items which remain unsold by Company N in the year 2014, 2016 and 2017 together to that of total no of items sold by Company O in the year 2013 and 2015 together?
Correct
Answer c
The total no of items which remain unsold by Company N in the year 2014, 2016 and 2017 together
= > [64*(1/4) + 49*(3/7) + 68*(4/17)] thousand
= > (16 + 21 + 16) thousand
= > 53000
The total no of items sold by Company O in the year 2013, 2015 together
= > [40*(2/5) + 85*(12/17)] thousand
= > (16 + 60) thousand
= > 76000
Required ratio = 53000: 76000 = 53: 76
Incorrect
Answer c
The total no of items which remain unsold by Company N in the year 2014, 2016 and 2017 together
= > [64*(1/4) + 49*(3/7) + 68*(4/17)] thousand
= > (16 + 21 + 16) thousand
= > 53000
The total no of items sold by Company O in the year 2013, 2015 together
= > [40*(2/5) + 85*(12/17)] thousand
= > (16 + 60) thousand
= > 76000
Required ratio = 53000: 76000 = 53: 76
Question 18 of 20
18. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
Year
M
N
O
Total
S: Us
Total
S: Us
Total
S: Us
2013
45
5 : 4
55
3 : 2
40
2 : 3
2014
72
3 : 1
64
3 : 1
48
1 : 3
2015
66
6 : 5
81
4 : 5
85
12 : 5
2016
48
3 : 1
49
4 : 3
75
13 : 2
2017
85
8 : 9
68
13 : 4
54
1 : 1
Total no of items which remain unsold by Company M in the year 2015 and 2017 together is approximately what percentage of total no of items sold by Company N in the year 2014 and 2016 together?
Correct
Answer c
Total no of items which remain unsold by Company M in the year 2015 and 2017 together
= > [66*(5/11) + 85*(9/17)] thousand
= > (30 + 45) thousand
= > 75000
Total no of items sold by Company N in the year 2014 and 2016 together
= > 64*(3/4) + 49*(4/7)] thousand
= > (48 + 28) thousand
= > 76000
Required % = (75000/76000)*100 = 98.68 % = 99 %
Incorrect
Answer c
Total no of items which remain unsold by Company M in the year 2015 and 2017 together
= > [66*(5/11) + 85*(9/17)] thousand
= > (30 + 45) thousand
= > 75000
Total no of items sold by Company N in the year 2014 and 2016 together
= > 64*(3/4) + 49*(4/7)] thousand
= > (48 + 28) thousand
= > 76000
Required % = (75000/76000)*100 = 98.68 % = 99 %
Question 19 of 20
19. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
Year
M
N
O
Total
S: Us
Total
S: Us
Total
S: Us
2013
45
5 : 4
55
3 : 2
40
2 : 3
2014
72
3 : 1
64
3 : 1
48
1 : 3
2015
66
6 : 5
81
4 : 5
85
12 : 5
2016
48
3 : 1
49
4 : 3
75
13 : 2
2017
85
8 : 9
68
13 : 4
54
1 : 1
Find the difference between the average no. of items produced by company N in all the given years to that of the average no. of items produced by company O in all the given years?
Correct
Answer a
Total no. of items produced by company N in all the given years
= > (55 + 64 + 81 + 49 + 68) thousand
= > 317000
Total no. of items produced by company O in all the given years
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
Year
M
N
O
Total
S: Us
Total
S: Us
Total
S: Us
2013
45
5 : 4
55
3 : 2
40
2 : 3
2014
72
3 : 1
64
3 : 1
48
1 : 3
2015
66
6 : 5
81
4 : 5
85
12 : 5
2016
48
3 : 1
49
4 : 3
75
13 : 2
2017
85
8 : 9
68
13 : 4
54
1 : 1
Total no of items produced by Company M in the year 2015 and 2017 is what percentage of more/less than the total no of items produced by Company N in the same year?
Correct
Answer d
Total no of items produced by Company M in the year 2015 and 2017
= > (66 + 85) thousand = 151000
Total no of items produced by Company N in the year 2015 and 2017
Click “Start Quiz” to attend these Questions and view Solutions
Directions (Q. 1 – 5): What approximate value should come in place of question mark (?) in the following questions?
39. 98 % of 4310 + 58.79 % of 5003 =? – 3867.87
9150
7560
8540
6770
5680
√11450 × √6240 – (53.96)^{2} = √? + (74.01)^{2}
3364
3136
3969
3721
4225
362.98 × 290.06 – 18765.30 =? + 5883.21
80622
78546
71623
85675
91329
(839.75 – 384.45) ÷ 24.01 + 786.93 =?
950
810
740
630
1120
1548.45 + 3060.95 ÷ 15.03 =? – 793.893
3180
3740
2550
2930
3560
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
36, 43, 75, 150,?
286
378
312
254
408
15, 16, 63, 568,?
5645
6892
7658
9087
8556
24, 26, 55, 169, ?, 3411
763
914
681
856
1155
147, 162, 183, 216, ? , 342
295
267
308
312
324
131, 145, 162, 182, ? , 231
205
197
212
223
188
Rajesh borrowed Rs. 50000 from a bank at a rate of 8 % per annum for two years at simple interest and lends the same money to Moni at the rate of 8 % for two years but he charged compound interest. What is the overall gain of Rajesh?
Rs. 410
Rs. 370
Rs. 320
Rs. 430
None of these
In an examination, Rakesh scored 52% marks and failed by 23 marks. In the same examination, Radhika scored 64% marks and get 34 marks more than the passing marks. What is the score of Mohan in the same examination, who secured 84% marks?
356
399
415
438
None of these
Sree’s brother is 3 years elder to her. Sree’s father was 28 years of age when Sree’s sister was born while Sree’s mother was 26 years of age when Sree was born. If Sree’s sister was 4 years of age when Sree’s brother was born, then what was the age Sree’s father when Sree’s brother was born?
38 years
36 years
40 years
32 years
None of these
Pipe P and Q fill the tank in 15 min and 30 min respectively. If both the pipes are opened, after how much time Q should be closed so as to fill the tank in 11 min?
8 min
12 min
6 min
14 min
None of these
12 men and 20 women can complete a piece of work in 10 days while 6 men and 15 women can complete the same work in 15 days. Then find 10 men and 15 women to complete the same work in?
15 7/8 days
11 4/7 days
12 6/7 days
14 3/8 days
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
Year
M
N
O
Total
S: Us
Total
S: Us
Total
S: Us
2013
45
5 : 4
55
3 : 2
40
2 : 3
2014
72
3 : 1
64
3 : 1
48
1 : 3
2015
66
6 : 5
81
4 : 5
85
12 : 5
2016
48
3 : 1
49
4 : 3
75
13 : 2
2017
85
8 : 9
68
13 : 4
54
1 : 1
Find the total no of items sold by Company M in all the given years together?
212500
191000
175600
234000
None of these
Find the ratio between the total no of items which remain unsold by Company N in the year 2014, 2016 and 2017 together to that of total no of items sold by Company O in the year 2013 and 2015 together?
28: 65
37: 68
53: 76
62: 85
None of these
Total no of items which remain unsold by Company M in the year 2015 and 2017 together is approximately what percentage of total no of items sold by Company N in the year 2014 and 2016 together?
118 %
106 %
99 %
87 %
90 %
Find the difference between the average no. of items produced by company N in all the given years to that of the average no. of items produced by company O in all the given years?
3000
3500
4200
4700
None of these
Total no of items produced by Company M in the year 2015 and 2017 is what percentage of more/less than the total no of items produced by Company N in the same year?
3.45 %
5.78 %
7.23 %
1.34 %
None of these
Answers:
1. Answer c
40 % of 4300 + 59 % of 5000 = x – 3868
(40/100)*4300 + (59/100)*5000 + 3868 = x
X = 1720 + 2950 + 3868
X = 8538 = 8540
2. Answer d
√11449 × √6241 – (53.96)^{2} = √? + (74.01)^{2}
107 * 79 – 54^{2} – 74^{2} = √x
8453 – 2916 – 5476 = √x
61 = √x
X = 61^{2} = 3721
3. Answer a
363 * 290 – 18765 – 5883 = x
X = 105270 – 24648 = 80622
4. Answer b
(840 – 384)/24 + 787 = x
X = 456/24 + 787
X = 20 + 787 = 807 = 810
5. Answer c
1548 + 3060/15 = x – 794
1548 + 204 + 794 = x
X = 2546 = 2550
Direction (6-10):
6. Answer a
The pattern is, +(3^{2} – 2), +(6^{2} – 4), +(9^{2} – 6), +(12^{2} – 8),..
The answer is, 286
7. Answer d
The pattern is, *1^{2} + 1, *2^{2} – 1, *3^{2} + 1, *4^{2} – 1,..
The answer is, 9087
8. Answer c
The pattern is, *1 + 2, *2 +3, *3 +4, *4 +5, *5 +6…
The answer is, 681
9. Answer b
147 162 183 216 ? 342
15 21 33 51 75
6 12 18 24
The difference of difference is, 6, 12, 18, 24…
The answer is, 267
10. Answer a
The pattern is, + [(3*5) – 1], + [(3*6) – 1], + [(3*7) – 1], + [(3*8) – 1],..
The answer is, 205
(Or)
131 145 162 182 ? 231
14 17 20 23 26
3 3 3 3
The answer is 205
11. Answer c
Here gain is the difference between simple interest and compound interest.
Difference = Sum*(r/100)^{2}
= > 50000*(8/100)^{2}
= > 50000*(64/10000)
= > 64*5
Overall gain = Rs. 320
12. Answer b
Here passing marks equal, so,
= > 52 % of total marks + 23 = 64 % of total marks – 34
= > 23 + 34 = (64 – 52) % of total marks
= > 57 = 12 % of total marks
= > Total marks = 57*(100/12) = 475
Mohan’s mark = (84/100)*475 = 399
13. Answer d
Let Sree age be x
Then
Sree’s brother age = x + 3
Sree’s mother age = x + 26
Sree’s sister age = (x + 3) + 4 = x + 7
Sree’s father age = (x + 7) + 28 = x + 35
Age of Sree’s father when Sree’s brother was born = x + 35 – (x + 3) = 32 years
14. Answer a
Pipe P and Q’s one min work = (1/15) + (1/30) = (1/10)
After x min pipe Q closed, so,
11/15 +x/30 = 1
22+x=30
8 = x
After 8 min, Pipe Q is closed.
15. Answer c
Here work equal. So,
(12m+20w)*10= (6m+15w)*15
120m + 200w= 90m + 225w
30m = 25w
m /w=5/6
m = (5/6)*w
12m + 20w = 12*(5/6)w + 20w = 10w + 20w = 30 w
10 m + 15w = 10*(5/6)w + 15 w = (25/3)w + 15w 70/3 w