“20-20” Quantitative Aptitude | Crack SBI PO Prelims 2018 Day-102
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Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
71, 35, 36, 52.5, ? , 265
Correct
Answer d
The pattern is, *0.5 – 0.5, *1 + 1, *1.5 – 1.5, *2 +2, *2.5 – 2.5,..
The answer is, 107
Incorrect
Answer d
The pattern is, *0.5 – 0.5, *1 + 1, *1.5 – 1.5, *2 +2, *2.5 – 2.5,..
The answer is, 107
Question 7 of 20
7. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
366, 184, 93, 47.5, ? , 13.375
Correct
Answer a
The pattern is, ÷ 2 + 1
The answer is, 24.75
Incorrect
Answer a
The pattern is, ÷ 2 + 1
The answer is, 24.75
Question 8 of 20
8. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
7, 7, 63, 1575, ?
Correct
Answer b
The pattern is, *1^{2}, *3^{2}, *5^{2}, *7^{2},..
The answer is, 77175
Incorrect
Answer b
The pattern is, *1^{2}, *3^{2}, *5^{2}, *7^{2},..
The answer is, 77175
Question 9 of 20
9. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
743, 761, 794, 852, 945, ?
Correct
Answer e
The difference of difference is, 15, 25, 35, 45,..
The answer is, 1083
Incorrect
Answer e
The difference of difference is, 15, 25, 35, 45,..
The answer is, 1083
Question 10 of 20
10. Question
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
417, 430, 473, 584, 825,?
Correct
Answer c
The difference of difference is, 3^{3} + 3, 4^{3} + 4, 5^{3} + 5, 6^{3} + 6,..
The answer is, 1288
Incorrect
Answer c
The difference of difference is, 3^{3} + 3, 4^{3} + 4, 5^{3} + 5, 6^{3} + 6,..
The answer is, 1288
Question 11 of 20
11. Question
In a mixture of 91 litres, the ratio of milk to water is 7: 6. If this ratio is to be 7: 9, then what is the quantity of water needed to be added?
Correct
Answer a
Total Quantity = 91 litres
The ratio of milk to water= 7: 6
Milk= 49 litres, Water= 42 litres
According to the question,
49/(42+x) = 7/9
63 = 42+x
X= 21 litres
So 21 litres of water should be added
Incorrect
Answer a
Total Quantity = 91 litres
The ratio of milk to water= 7: 6
Milk= 49 litres, Water= 42 litres
According to the question,
49/(42+x) = 7/9
63 = 42+x
X= 21 litres
So 21 litres of water should be added
Question 12 of 20
12. Question
A, B and C enter into a partnership by investing Rs. 7200, Rs. 8800 and Rs. 9600 respectively. After 6 months, A withdraw the whole amount and at the same time, D enter into a partnership by investing the same amount of A’s initial investment. If the total profit at the end of the year is Rs. 34944, then find the difference between the shares of B and C?
Correct
Answer c
The share of A, B, C and D
= > [7200*6]: [8800*12]: [9600*12]: [7200*6]
= > 43200: 105600: 115200: 43200
= > 9: 22: 24: 9
Total profit = 64’s = Rs. 34944
1’s = 546
The difference between the shares of B and C together
= > (24 – 22)’s
= > 2*546
= > Rs. 1092
Incorrect
Answer c
The share of A, B, C and D
= > [7200*6]: [8800*12]: [9600*12]: [7200*6]
= > 43200: 105600: 115200: 43200
= > 9: 22: 24: 9
Total profit = 64’s = Rs. 34944
1’s = 546
The difference between the shares of B and C together
= > (24 – 22)’s
= > 2*546
= > Rs. 1092
Question 13 of 20
13. Question
Average age of family of 5 members is 46. Karthik is the youngest member in the family and his present age is 14 years. Find the average age of the family just before Karthik was born?
Correct
Answer b
Total age of family of 5 members = 46*5 = 230
The present age of Karthik = 14
The average age of the family just before Karthik was born,
= > [230 – (14*5)]/4
= > (230 – 70)/4
= > 160/4 = 40 years
Incorrect
Answer b
Total age of family of 5 members = 46*5 = 230
The present age of Karthik = 14
The average age of the family just before Karthik was born,
= > [230 – (14*5)]/4
= > (230 – 70)/4
= > 160/4 = 40 years
Question 14 of 20
14. Question
A, B and C together complete the work in 5 days while B alone can complete the work in 12 days and C alone can complete the same work in 15 days. How many days A can take to complete the work alone?
Correct
Answer c
A, B and C together complete the work in = 5 days
(A + B + C)’s one day work = 1/5
B’s one day work = 1/12
C’s one day work = 1/15
A’s one day work = (1/5) – (1/12 + 1/15)
= > 1/5 – 3/20 = 1/20
A can take to complete the work alone in 20 days.
Incorrect
Answer c
A, B and C together complete the work in = 5 days
(A + B + C)’s one day work = 1/5
B’s one day work = 1/12
C’s one day work = 1/15
A’s one day work = (1/5) – (1/12 + 1/15)
= > 1/5 – 3/20 = 1/20
A can take to complete the work alone in 20 days.
Question 15 of 20
15. Question
5 years ago, the age of A and B in the ratio of 3: 5. After 7 years, the sum of their ages is 64. C is 12 years younger than B. Then find the age of C, after 3 years?
Correct
Answer b
5 years ago, the age of A and B in the ratio of = 3: 5(3x, 5x)
Present age of A and B = 3x + 5, 5x + 5
After 7 years, Sum of their ages = 64
= > 3x + 12 + 5x + 12 = 64
= > 8x + 24 = 64
= > 8x = 40
= > x = 5
Present age of A and B = 3x + 5, 5x + 5 = 20, 30
C = B – 12 = 30-12 = 18
Present age of C = 18 years
C’s age after 3 years = 18+3= 21 years
Incorrect
Answer b
5 years ago, the age of A and B in the ratio of = 3: 5(3x, 5x)
Present age of A and B = 3x + 5, 5x + 5
After 7 years, Sum of their ages = 64
= > 3x + 12 + 5x + 12 = 64
= > 8x + 24 = 64
= > 8x = 40
= > x = 5
Present age of A and B = 3x + 5, 5x + 5 = 20, 30
C = B – 12 = 30-12 = 18
Present age of C = 18 years
C’s age after 3 years = 18+3= 21 years
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following pie chart shows the total population of different cities in certain state and the table shows the ratio of educated and uneducated peoples among them.
Total population = 26 lakhs
City
Educated : Uneducated
P
3 : 1
Q
5 : 3
R
7 : 1
S
1 : 1
T
2 : 1
Total number of educated peoples in city P and T together is approximately what percentage of total number of educated peoples in city Q, R and S together?
Correct
Directions (16-20):
City
Total population (In lakhs)
Educated
Uneducated
P
5.72
429000
143000
Q
4.16
260000
156000
R
5.46
477750
68250
S
4.42
221000
221000
T
6.24
416000
208000
Answer b
Total number of educated peoples in city P and T together
= > 429000 + 416000
= > 845000
Total number of educated peoples in city Q, R and S together
= > 260000 + 477750 + 221000
= > 958750
Required % = (845000/958750)*100 = 88.13 % = 88 %
Incorrect
Directions (16-20):
City
Total population (In lakhs)
Educated
Uneducated
P
5.72
429000
143000
Q
4.16
260000
156000
R
5.46
477750
68250
S
4.42
221000
221000
T
6.24
416000
208000
Answer b
Total number of educated peoples in city P and T together
= > 429000 + 416000
= > 845000
Total number of educated peoples in city Q, R and S together
= > 260000 + 477750 + 221000
= > 958750
Required % = (845000/958750)*100 = 88.13 % = 88 %
Question 17 of 20
17. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following pie chart shows the total population of different cities in certain state and the table shows the ratio of educated and uneducated peoples among them.
Total population = 26 lakhs
City
Educated : Uneducated
P
3 : 1
Q
5 : 3
R
7 : 1
S
1 : 1
T
2 : 1
Find the difference between the total number of uneducated peoples in city P, Q and T together to that of total number of uneducated peoples in city R and S together?
Correct
Answer a
Total number of uneducated peoples in city P, Q and T together
= > 143000 + 156000 + 208000
= > 507000
Total number of uneducated peoples in city R and S together
= > 68250 + 221000
= > 289250
Required difference = 507000 – 289250 = 217750
Incorrect
Answer a
Total number of uneducated peoples in city P, Q and T together
= > 143000 + 156000 + 208000
= > 507000
Total number of uneducated peoples in city R and S together
= > 68250 + 221000
= > 289250
Required difference = 507000 – 289250 = 217750
Question 18 of 20
18. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following pie chart shows the total population of different cities in certain state and the table shows the ratio of educated and uneducated peoples among them.
Total population = 26 lakhs
City
Educated : Uneducated
P
3 : 1
Q
5 : 3
R
7 : 1
S
1 : 1
T
2 : 1
Find the ratio between the total number of educated peoples to that of total number of uneducated peoples of all the given cities together?
Correct
Answer c
The total number of educated peoples of all the given cities together
= > 429000 + 260000 + 477750 + 221000 + 416000
= > 1803750
The total number of uneducated peoples of all the given cities together
= > 143000 + 156000 + 68250 + 221000 + 208000
= > 796250
Required ratio = 1803750: 796250 = 1443: 637
Incorrect
Answer c
The total number of educated peoples of all the given cities together
= > 429000 + 260000 + 477750 + 221000 + 416000
= > 1803750
The total number of uneducated peoples of all the given cities together
= > 143000 + 156000 + 68250 + 221000 + 208000
= > 796250
Required ratio = 1803750: 796250 = 1443: 637
Question 19 of 20
19. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following pie chart shows the total population of different cities in certain state and the table shows the ratio of educated and uneducated peoples among them.
Total population = 26 lakhs
City
Educated : Uneducated
P
3 : 1
Q
5 : 3
R
7 : 1
S
1 : 1
T
2 : 1
Find the average number of educated peoples of all the given cities together?
Correct
Answer d
The total number of educated peoples of all the given cities together
= > 429000 + 260000 + 477750 + 221000 + 416000
= > 1803750
Required average = 1803750/5 = 360750
Incorrect
Answer d
The total number of educated peoples of all the given cities together
= > 429000 + 260000 + 477750 + 221000 + 416000
= > 1803750
Required average = 1803750/5 = 360750
Question 20 of 20
20. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following pie chart shows the total population of different cities in certain state and the table shows the ratio of educated and uneducated peoples among them.
Total population = 26 lakhs
City
Educated : Uneducated
P
3 : 1
Q
5 : 3
R
7 : 1
S
1 : 1
T
2 : 1
Total number of peoples in city Q and T together is approximately what percentage more/less than the total number of peoples in city P and S together?
Directions (Q. 6 – 10): What value should come in place of question mark (?) in the following number series?
71, 35, 36, 52.5, ? , 265
98
112
131
107
156
366, 184, 93, 47.5, ? , 13.375
24.75
36.25
28.75
30.5
19.25
7, 7, 63, 1575, ?
65125
77175
69223
71527
80271
743, 761, 794, 852, 945, ?
1145
1278
1456
1341
1083
417, 430, 473, 584, 825,?
1085
1154
1288
1389
941
In a mixture of 91 litres, the ratio of milk to water is 7: 6. If this ratio is to be 7: 9, then what is the quantity of water needed to be added?
21 litres
24 litres
19 litres
17 litres
16 litres
A, B and C enter into a partnership by investing Rs. 7200, Rs. 8800 and Rs. 9600 respectively. After 6 months, A withdraw the whole amount and at the same time, D enter into a partnership by investing the same amount of A’s initial investment. If the total profit at the end of the year is Rs. 34944, then find the difference between the shares of B and C?
Rs. 1156
Rs. 1345
Rs. 1092
Rs. 1478
Rs. 1287
Average age of family of 5 members is 46. Karthik is the youngest member in the family and his present age is 14 years. Find the average age of the family just before Karthik was born?
36 years
40 years
42 years
32 years
34 years
A, B and C together complete the work in 5 days while B alone can complete the work in 12 days and C alone can complete the same work in 15 days. How many days A can take to complete the work alone?
18 days
24 days
20 days
26 days
None of these
5 years ago, the age of A and B in the ratio of 3: 5. After 7 years, the sum of their ages is 64. C is 12 years younger than B. Then find the age of C, after 3 years?
15 years
21 years
23 years
18 years
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following pie chart shows the total population of different cities in certain state and the table shows the ratio of educated and uneducated peoples among them.
Total population = 26 lakhs
City
Educated : Uneducated
P
3 : 1
Q
5 : 3
R
7 : 1
S
1 : 1
T
2 : 1
Total number of educated peoples in city P and T together is approximately what percentage of total number of educated peoples in city Q, R and S together?
72 %
88 %
94 %
106 %
112 %
Find the difference between the total number of uneducated peoples in city P, Q and T together to that of total number of uneducated peoples in city R and S together?
217750
198570
175620
234560
None of these
Find the ratio between the total number of educated peoples to that of total number of uneducated peoples of all the given cities together?
1426 : 129
1235 : 103
1443: 637
1789 : 356
None of these
Find the average number of educated peoples of all the given cities together?
298540
325680
274360
360750
None of these
Total number of peoples in city Q and T together is approximately what percentage more/less than the total number of peoples in city P and S together?
7 % more
3 % more
12 % less
15 % less
9 % more
Answers:
1. Answer c
5258 ÷ 18 × 40 = x ÷ 30 × 40
X = (5258/18)*30
X = 8760
2. Answer a
29 % of 1590 + 15 % of 2050 = 20 % of x
(29/100)*1590 + (15/100)*2050 = (20/100)*x
29*16 + 315 = (x/5)
464 + 315 = (x/5)
779*5 = x
X = 3895
3. Answer d
1332 ÷ [(8/5) × (3/7) × (2/9)] = x
X = 1332/ (1/7)
X = 1332*7
X = 9324
4. Answer b
729*6172 ÷ [(18/100)*730] = 28*350/8 + x + 4300
729*6172/126 = 1225 + x + 4300
35721- 1225 – 4300 = x
X = 30196 = 30200
5. Answer e
(3/7)*168*(25/5) – x = (765/9) + 235
360 – 85 – 235 = x
X = 40
Directions (Q. 6 – 10):
6. Answer d
The pattern is, *0.5 – 0.5, *1 + 1, *1.5 – 1.5, *2 +2, *2.5 – 2.5,..
The answer is, 107
7. Answer a
The pattern is, ÷ 2 + 1
The answer is, 24.75
8. Answer b
The pattern is, *1^{2}, *3^{2}, *5^{2}, *7^{2},..
The answer is, 77175
9. Answer e
The difference of difference is, 15, 25, 35, 45,..
The answer is, 1083
10. Answer c
The difference of difference is, 3^{3} + 3, 4^{3} + 4, 5^{3} + 5, 6^{3} + 6,..
The answer is, 1288
11. Answer a
Total Quantity = 91 litres
The ratio of milk to water= 7: 6
Milk= 49 litres, Water= 42 litres
According to the question,
49/(42+x) = 7/9
63 = 42+x
X= 21 litres
So 21 litres of water should be added
12. Answer c
The share of A, B, C and D
= > [7200*6]: [8800*12]: [9600*12]: [7200*6]
= > 43200: 105600: 115200: 43200
= > 9: 22: 24: 9
Total profit = 64’s = Rs. 34944
1’s = 546
The difference between the shares of B and C together
= > (24 – 22)’s
= > 2*546
= > Rs. 1092
13. Answer b
Total age of family of 5 members = 46*5 = 230
The present age of Karthik = 14
The average age of the family just before Karthik was born,
= > [230 – (14*5)]/4
= > (230 – 70)/4
= > 160/4 = 40 years
14. Answer c
A, B and C together complete the work in = 5 days
(A + B + C)’s one day work = 1/5
B’s one day work = 1/12
C’s one day work = 1/15
A’s one day work = (1/5) – (1/12 + 1/15)
= > 1/5 – 3/20 = 1/20
A can take to complete the work alone in 20 days.
15. Answer b
5 years ago, the age of A and B in the ratio of = 3: 5(3x, 5x)
Present age of A and B = 3x + 5, 5x + 5
After 7 years, Sum of their ages = 64
= > 3x + 12 + 5x + 12 = 64
= > 8x + 24 = 64
= > 8x = 40
= > x = 5
Present age of A and B = 3x + 5, 5x + 5 = 20, 30
C = B – 12 = 30-12 = 18
Present age of C = 18 years
C’s age after 3 years = 18+3= 21 years
Directions (16-20):
City
Total population (In lakhs)
Educated
Uneducated
P
5.72
429000
143000
Q
4.16
260000
156000
R
5.46
477750
68250
S
4.42
221000
221000
T
6.24
416000
208000
16. Answer b
Total number of educated peoples in city P and T together
= > 429000 + 416000
= > 845000
Total number of educated peoples in city Q, R and S together
= > 260000 + 477750 + 221000
= > 958750
Required % = (845000/958750)*100 = 88.13 % = 88 %
17. Answer a
Total number of uneducated peoples in city P, Q and T together
= > 143000 + 156000 + 208000
= > 507000
Total number of uneducated peoples in city R and S together
= > 68250 + 221000
= > 289250
Required difference = 507000 – 289250 = 217750
18. Answer c
The total number of educated peoples of all the given cities together
= > 429000 + 260000 + 477750 + 221000 + 416000
= > 1803750
The total number of uneducated peoples of all the given cities together
= > 143000 + 156000 + 68250 + 221000 + 208000
= > 796250
Required ratio = 1803750: 796250 = 1443: 637
19. Answer d
The total number of educated peoples of all the given cities together