“20-20” Quantitative Aptitude | Crack SBI PO 2018 Day-138
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“20-20” Aptitude Questions | Crack SBI PO 2018 Day-138
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Question 1 of 20
1. Question
Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
113, 115, 233, 703, ? , 14091
Correct
Answer d
The pattern is, *1 + 2, *2 + 3, *3 + 4, *4 + 5, *5 + 6,..
The answer is, 2817
Incorrect
Answer d
The pattern is, *1 + 2, *2 + 3, *3 + 4, *4 + 5, *5 + 6,..
The answer is, 2817
Question 2 of 20
2. Question
Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
793, 820, 851, 902, 1053, ?
Correct
Answer a
The difference of difference is, *5
The answer is, 1704
Incorrect
Answer a
The difference of difference is, *5
The answer is, 1704
Question 3 of 20
3. Question
Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
936, 468, 156, 39, ?
Correct
Answer b
The pattern is, ÷ 2, ÷ 3, ÷ 4, ÷ 5,..
The answer is, 7.8
Incorrect
Answer b
The pattern is, ÷ 2, ÷ 3, ÷ 4, ÷ 5,..
The answer is, 7.8
Question 4 of 20
4. Question
Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
15840, 1584, 198, 33, ? , 4.125
Correct
Answer c
The pattern is, ÷ 10, ÷ 8, ÷ 6, ÷ 4, ÷ 2
The answer is, 8.25
Incorrect
Answer c
The pattern is, ÷ 10, ÷ 8, ÷ 6, ÷ 4, ÷ 2
The answer is, 8.25
Question 5 of 20
5. Question
Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
45, 48, 102, 315, 1272, ?
Correct
Answer e
The pattern is, *1 + 3, *2 + 6, *3 + 9, *4 + 12, *5 + 15,..
The answer is, 6375
Incorrect
Answer e
The pattern is, *1 + 3, *2 + 6, *3 + 9, *4 + 12, *5 + 15,..
The answer is, 6375
Question 6 of 20
6. Question
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
27 3/5 % of 25500 =? + 13365 ÷ 11
Correct
Answer d
(138/500)*25500 = x + (13365/11)
7038 = x + 1215
7038 – 1215 = x
X = 5823
Incorrect
Answer d
(138/500)*25500 = x + (13365/11)
7038 = x + 1215
7038 – 1215 = x
X = 5823
Question 7 of 20
7. Question
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
48^{2} ÷ 16 × 3 + 19^{2} = 13× ?
Correct
Answer a
(48*48*3)/16 + 361 = 13x
432 + 361 = 13x
793/13 = x
X = 61
Incorrect
Answer a
(48*48*3)/16 + 361 = 13x
432 + 361 = 13x
793/13 = x
X = 61
Question 8 of 20
8. Question
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
56^{2} + (6/13) of 1690 = ? – 124
Correct
Answer c
3136 + (6/13)*1690 = x – 124
3136 + 780 + 124 = x
X = 4040
Incorrect
Answer c
3136 + (6/13)*1690 = x – 124
3136 + 780 + 124 = x
X = 4040
Question 9 of 20
9. Question
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
(27600 ÷ 24) + (5100 ÷ 15)= ? – 42 % of 1250
Correct
Answer b
(27600/24) + (5100/15) = x – (42/100)*1250
1150 + 340 = x – 525
1150 + 340 + 525 = x
2015 = x
Incorrect
Answer b
(27600/24) + (5100/15) = x – (42/100)*1250
1150 + 340 = x – 525
1150 + 340 + 525 = x
2015 = x
Question 10 of 20
10. Question
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
∛19683 -√2025 × ? ÷ (15)= – (3/7) of 224
Correct
Answer a
27 – 45x/(15) =-(3/7)*224
27 – (3x) = – 96
27 + 96 = (3x)
123 = 3x
X = 123/3 = 41
Incorrect
Answer a
27 – 45x/(15) =-(3/7)*224
27 – (3x) = – 96
27 + 96 = (3x)
123 = 3x
X = 123/3 = 41
Question 11 of 20
11. Question
In what ratio water be mixed with milk to earn a profit of 40 % by selling the mixture at cost price?
Correct
Answer b
Let the cost price of milk= Rs.1 /lit
cost price of water = Rs. 1/lit
Selling price of mixture = Rs. 1/lit
Cost price of mixture = 1*100/140 = 5/7
= > – (5/7) : – (2/7)
= >5 : 2
Incorrect
Answer b
Let the cost price of milk= Rs.1 /lit
cost price of water = Rs. 1/lit
Selling price of mixture = Rs. 1/lit
Cost price of mixture = 1*100/140 = 5/7
= > – (5/7) : – (2/7)
= >5 : 2
Question 12 of 20
12. Question
A, B and C started a business by investing Rs. 45000, Rs. 32000 and Rs. 28000 respectively. After 5 months, A withdraw Rs. 15000 and B invested Rs. 8000 more. And after 3 months, C invested 25 % of initial investment more. Find the total profit at the end of the year, if the share of B is Rs. 44000?
A tank can be filled by three pipes A, B and C in 10 hours. All the pipes were opened for 2 hours and then pipe C was closed. A and B filled the remaining tank in 12 hours. Find the time taken by pipe C alone to completely fill the tank?
Correct
Answer a
(A + B + C)’s one hour work = (1/10)
(A + B + C)’s two hour work = (2/10) = 1/5
Remaining = 4/5
(4/5)*(A + B)’s whole work = 12
(A + B)’s whole work = 12*(5/4) = 15 hours
C’s one hour work = (1/10) – (1/15) = (15 – 10)/(15*10)
= > (1/30)
C alone can complete the tank in 30 hours.
Incorrect
Answer a
(A + B + C)’s one hour work = (1/10)
(A + B + C)’s two hour work = (2/10) = 1/5
Remaining = 4/5
(4/5)*(A + B)’s whole work = 12
(A + B)’s whole work = 12*(5/4) = 15 hours
C’s one hour work = (1/10) – (1/15) = (15 – 10)/(15*10)
= > (1/30)
C alone can complete the tank in 30 hours.
Question 14 of 20
14. Question
A man sold an article for Rs. 5000 and incurred a loss. Had he sold the article for Rs. 6800, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit?
Correct
Answer d
Loss = C.P – 5000
Profit = 6800 – CP
Profit = (1/2)*Loss
6800 – C.P = (1/2) [C.P – 5000]
13600 – 2C.P = C.P – 5000
3C.P = 13600 + 5000
3C.P = 18600
C.P = Rs. 6200
Selling price = 6200*(120/100) = Rs. 7440
Incorrect
Answer d
Loss = C.P – 5000
Profit = 6800 – CP
Profit = (1/2)*Loss
6800 – C.P = (1/2) [C.P – 5000]
13600 – 2C.P = C.P – 5000
3C.P = 13600 + 5000
3C.P = 18600
C.P = Rs. 6200
Selling price = 6200*(120/100) = Rs. 7440
Question 15 of 20
15. Question
A boat can travel 15 km downstream in 18 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 10 km upstream?
Correct
Answer c
Speed of downstream = 15*(60/18) = 50 km/hr
The ratio of the speed of the boat in still water to the speed of the stream
= >4 : 1 (4x, x)
5x = 50
X = 10
Speed of upstream = 4x – x = 3x = 30 km/hr
Distance = 10 km
Time = D/S = 10/30 = 1/3 hr = (1/3)*60 = 20 min
Incorrect
Answer c
Speed of downstream = 15*(60/18) = 50 km/hr
The ratio of the speed of the boat in still water to the speed of the stream
= >4 : 1 (4x, x)
5x = 50
X = 10
Speed of upstream = 4x – x = 3x = 30 km/hr
Distance = 10 km
Time = D/S = 10/30 = 1/3 hr = (1/3)*60 = 20 min
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of employees working in three different companies during five years.
Note: M –Men, W –Women
Total number of women employees in the year 2013, 2015 and 2017 of company A together is approximately what percentage of total number of men employees in the year 2014, 2016 and 2017 together of same company?
Correct
Answer a
Total number of women employees in the year 2013, 2015 and 2017 of company A together
= > 2500*(2/5) + 5700*(10/19) + 3900*(6/13)
= > 1000 + 3000 + 1800 = 5800
Total number of men employees in the year 2014, 2016 and 2017 of company A together
= > 3200*(5/8) + 4400*(5/11) + 3900*(7/13)
= > 2000 + 2000 + 2100 = 6100
Required % = (5800/6100)*100 = 95.08 % = 95 %
Incorrect
Answer a
Total number of women employees in the year 2013, 2015 and 2017 of company A together
= > 2500*(2/5) + 5700*(10/19) + 3900*(6/13)
= > 1000 + 3000 + 1800 = 5800
Total number of men employees in the year 2014, 2016 and 2017 of company A together
= > 3200*(5/8) + 4400*(5/11) + 3900*(7/13)
= > 2000 + 2000 + 2100 = 6100
Required % = (5800/6100)*100 = 95.08 % = 95 %
Question 17 of 20
17. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of employees working in three different companies during five years.
Note: M –Men, W –Women
Find the difference between the total number of men employees of Company B to that of total number of women employees of company C for all the given years together?
Correct
Answer c
The total number of men employees of Company B for all the given years together
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of employees working in three different companies during five years.
Note: M –Men, W –Women
Find the ratio between the total number of women employees of company B in the year 2013, 2015 and 2017 together to that of total number of men employees of company C in the year 2014, 2015 and 2016 together?
Correct
Answer b
The total number of women employees of company B in the year 2013, 2015 and 2017 together
= > 3600*(5/9) + 4500*(4/9) + 5100*(8/17)
= > 2000 + 2000 + 2400 = 6400
The total number of men employees of company C in the year 2014, 2015 and 2016 together
= > 3500*(2/5) + 5600*(5/7) + 2800*(4/7)
= > 1400 + 4000 + 1600 = 7000
Required ratio = 6400 : 7000 = 32 : 35
Incorrect
Answer b
The total number of women employees of company B in the year 2013, 2015 and 2017 together
= > 3600*(5/9) + 4500*(4/9) + 5100*(8/17)
= > 2000 + 2000 + 2400 = 6400
The total number of men employees of company C in the year 2014, 2015 and 2016 together
= > 3500*(2/5) + 5600*(5/7) + 2800*(4/7)
= > 1400 + 4000 + 1600 = 7000
Required ratio = 6400 : 7000 = 32 : 35
Question 19 of 20
19. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of employees working in three different companies during five years.
Note: M –Men, W –Women
Find the average number of women employees of company A in all the given years together?
Correct
Answer d
The total number of women employees of company A in all the given years together
Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
113, 115, 233, 703, ? , 14091
2123
3459
3891
2817
4195
793, 820, 851, 902, 1053, ?
1704
1928
1646
1350
2193
936, 468, 156, 39, ?
12
7.8
14.6
19.2
11
15840, 1584, 198, 33, ? , 4.125
13.75
15
8.25
10.5
11.75
45, 48, 102, 315, 1272, ?
5124
4578
3356
2890
6375
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
27 3/5 % of 25500 =? + 13365 ÷ 11
5078
4592
3845
5823
None of these
48^{2} ÷ 16 × 3 + 19^{2} = 13× ?
61
67
53
59
None of these
56^{2} + (6/13) of 1690 = ? – 124
3275
3560
4040
5125
None of these
(27600 ÷ 24) + (5100 ÷ 15)= ? – 42 % of 1250
1925
2015
1775
2390
None of these
∛19683 -√2025 × ? ÷ (15)= – (3/7) of 224
41
55
64
72
None of these
In what ratio water be mixed with milk to earn a profit of 40 % by selling the mixture at cost price?
7 : 4
5 : 2
6 : 5
2 : 7
None of these
A, B and C started a business by investing Rs. 45000, Rs. 32000 and Rs. 28000 respectively. After 5 months, A withdraw Rs. 15000 and B invested Rs. 8000 more. And after 3 months, C invested 25 % of initial investment more. Find the total profit at the end of the year, if the share of B is Rs. 44000?
Rs. 154600
Rs. 144200
Rs. 123900
Rs. 175800
None of these
A tank can be filled by three pipes A, B and C in 10 hours. All the pipes were opened for 2 hours and then pipe C was closed. A and B filled the remaining tank in 12 hours. Find the time taken by pipe C alone to completely fill the tank?
30 hours
28 hours
24 hours
32 hours
None of these
A man sold an article for Rs. 5000 and incurred a loss. Had he sold the article for Rs. 6800, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit?
Rs. 6580
Rs. 6130
Rs. 7890
Rs. 7440
None of these
A boat can travel 15 km downstream in 18 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 10 km upstream?
24 min
16 min
20 min
28 min
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of employees working in three different companies during five years.
Company A
Company B
Company C
Total
M : W
Total
M : W
Total
M : W
2013
2500
3 : 2
3600
4 : 5
4200
3 : 4
2014
3200
5 : 3
2700
2 : 1
3500
2 : 3
2015
5700
9 : 10
4500
5 : 4
5600
5 : 2
2016
4400
5 : 6
4800
1 : 2
2800
4 : 3
2017
3900
7 : 6
5100
9 : 8
4400
5 : 6
Note: M –Men, W –Women
Total number of women employees in the year 2013, 2015 and 2017 of company A together is approximately what percentage of total number of men employees in the year 2014, 2016 and 2017 together of same company?
95 %
108 %
120 %
75 %
132 %
Find the difference between the total number of men employees of Company B to that of total number of women employees of company C for all the given years together?
420
630
500
680
None of these
Find the ratio between the total number of women employees of company B in the year 2013, 2015 and 2017 together to that of total number of men employees of company C in the year 2014, 2015 and 2016 together?
18 : 23
32: 35
37 : 41
15 : 19
None of these
Find the average number of women employees of company A in all the given years together?
2160
2890
3250
1880
None of these
Total employees of Company A is approximately what percentage less than the total employees of company C for all the given years together?
10 % more
4 % more
4 % less
10 % less
15 % less
Answers:
1). Answer d
The pattern is, *1 + 2, *2 + 3, *3 + 4, *4 + 5, *5 + 6,..
The answer is, 2817
2). Answer a
The difference of difference is, *5
The answer is, 1704
3). Answer b
The pattern is, ÷ 2, ÷ 3, ÷ 4, ÷ 5,..
The answer is, 7.8
4). Answer c
The pattern is, ÷ 10, ÷ 8, ÷ 6, ÷ 4, ÷ 2
The answer is, 8.25
5). Answer e
The pattern is, *1 + 3, *2 + 6, *3 + 9, *4 + 12, *5 + 15,..