“20-20” Quantitative Aptitude | Crack SBI PO Prelims 2018 Day-113
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15 men can complete a piece of work in 24 days. 18 women can complete the same work in 36 days. In how many days will 10 men and 8 women together complete the same work?
Correct
Answer a
15m * 24 = 18w * 36
5m = 9w
10m + 8w = 18w + 8w = 26 w
Women days
18 36
26 ?
(18*36) = (26*x)
X = (18*36)/26 = 324/13 = 24 12/13 days
Incorrect
Answer a
15m * 24 = 18w * 36
5m = 9w
10m + 8w = 18w + 8w = 26 w
Women days
18 36
26 ?
(18*36) = (26*x)
X = (18*36)/26 = 324/13 = 24 12/13 days
Question 13 of 20
13. Question
A shopkeeper marks his goods at 30 % above its cost price and allows a discount of 25 %. How much profit/Loss percent does he make?
Correct
Answer c
Let us assume the cost price be Rs. 100,
MP = (130/100)*CP = (130/100)*100 = 130
SP = 130*(75/100) = Rs. 97.5
Loss % = (2.5/100)*100 = 2.5 % loss
Incorrect
Answer c
Let us assume the cost price be Rs. 100,
MP = (130/100)*CP = (130/100)*100 = 130
SP = 130*(75/100) = Rs. 97.5
Loss % = (2.5/100)*100 = 2.5 % loss
Question 14 of 20
14. Question
A, B and C together have Rs. 33250. If 3/7^{th} of A’s amount is equal to 2/3^{rd} of B’s amount and 1/4^{th} of B’s amount is equal to 5/8^{th} of C’s amount, then how much amount does A have?
Correct
Answer d
A + B + C = Rs. 33250
(3/7)* A = (2/3)* B
(A/B) = (2/3) * (7/3) = 14/9
(1/4)* B = (5/8)* C
(B/C) = (5/8) * (4/1) = 5/2
133’s = 33250
1’s = 250
70’s = Rs. 17500
Incorrect
Answer d
A + B + C = Rs. 33250
(3/7)* A = (2/3)* B
(A/B) = (2/3) * (7/3) = 14/9
(1/4)* B = (5/8)* C
(B/C) = (5/8) * (4/1) = 5/2
133’s = 33250
1’s = 250
70’s = Rs. 17500
Question 15 of 20
15. Question
A, B and C started a business by investing an amount of Rs. 45000, Rs. 65000 and Rs. 70000 respectively. After 3 months, A invested Rs. 15000 more and B withdraw Rs. 5000. And after 4 months, C withdraws Rs. 15000. If the total profit at the end of the year is Rs. 114405, then find the share of A?
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following bar graph shows total exports of India (In billion dollars) in different months in the year 2017
Find the average export of Cotton in the period of March to August?
Correct
Answer b
The total export of Cotton in the period of March to August
= > [27 + 32 + 36 + 26 + 38 + 24]*(29/100)
= > 183*(29/100)
= > 53.07 billion dollars
Required average = 53.07/6 = 8.845 billion dollars
Incorrect
Answer b
The total export of Cotton in the period of March to August
= > [27 + 32 + 36 + 26 + 38 + 24]*(29/100)
= > 183*(29/100)
= > 53.07 billion dollars
Required average = 53.07/6 = 8.845 billion dollars
Question 17 of 20
17. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following bar graph shows total exports of India (In billion dollars) in different months in the year 2017
Total export of Plastics and Chemical products in the month of May and June together is approximately what percentage of total export of Iron and steel and Meat in the month of July and August together?
Correct
Answer c
Total export of Plastics and Chemical products in the month of May and June together
= > 36*(30/100) + 26*(30/100)
= > 10.8 + 7.8
= > 18.6 billion dollars
Total export of Iron and steel and Meat in the month of July and August together
= > 38*(41/100) + 24*(41/100)
= > 15.58 + 9.84
= > 25.42 billion dollars
Required % = (18.6/25.42)*100 = 73.17 % = 73 %
Incorrect
Answer c
Total export of Plastics and Chemical products in the month of May and June together
= > 36*(30/100) + 26*(30/100)
= > 10.8 + 7.8
= > 18.6 billion dollars
Total export of Iron and steel and Meat in the month of July and August together
= > 38*(41/100) + 24*(41/100)
= > 15.58 + 9.84
= > 25.42 billion dollars
Required % = (18.6/25.42)*100 = 73.17 % = 73 %
Question 18 of 20
18. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following bar graph shows total exports of India (In billion dollars) in different months in the year 2017
Find the difference between the total exports of Meat in the month of March, May and July together to that of total exports of Iron and Steel in the month of April, June and August together?
Correct
Answer a
The total exports of Meat in the month of March, May and July together
= > (27 + 36 + 38)*(17/100)
= > 17.17 billion dollars
The total exports of Iron and Steel in the month of April, June and August together
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following bar graph shows total exports of India (In billion dollars) in different months in the year 2017
Find the ratio between the total exports of Cotton in the month of July and August together to that of total exports of Chemical products in the month of March and April together?
Correct
Answer d
The total exports of Cotton in the month of July and August together
= > (38 + 24)*(29/100)
= > 17.98 billion dollars
The total exports of Chemical products in the month of March and April together
= > (27 + 32)*(18/100)
= > 10.62 billion dollars
Required ratio = 17.98: 10.62 = 899: 531
Incorrect
Answer d
The total exports of Cotton in the month of July and August together
= > (38 + 24)*(29/100)
= > 17.98 billion dollars
The total exports of Chemical products in the month of March and April together
= > (27 + 32)*(18/100)
= > 10.62 billion dollars
Required ratio = 17.98: 10.62 = 899: 531
Question 20 of 20
20. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following bar graph shows total exports of India (In billion dollars) in different months in the year 2017
Total exports of Cotton and Meat in the month of March and August together is approximately what percentage more/less than the total exports of Iron and Steel and Chemical products in the month of April and June together?
Correct
Answer c
Total exports of Cotton and Meat in the month of March and August together
= > (27 + 24)*[(29 + 17)/100]
= > 23.46 billion dollars
Total exports of Iron and Steel and Chemical products in the month of April and June together
Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?
456, 228, 342, 855, ? , 13466.25
2992.5
1756.8
2178.3
3124.6
3785.7
11, 15, 39, 133, 557, ?
1456
1523
1785
2678
2821
13, 27, 111, 671, ?
1256
2783
3422
5375
4817
3150, 1575, 525, 131.25, ?
35.5
37.75
26.25
41.5
58.25
726, 753, 861, 1033, 1254,?
1983
1511
2127
2578
2786
The ratio of the present age of Pavithra and Nivetha is 3: 5. 7 years hence, their ratio is 11: 16. What will be the ratio of their age, 5 years ago?
2 : 3
1 : 2
3 : 4
4 : 5
None of these
15 men can complete a piece of work in 24 days. 18 women can complete the same work in 36 days. In how many days will 10 men and 8 women together complete the same work?
24 12/13 days
19 14/17 days
21 12/19 days
17 9/14 days
None of these
A shopkeeper marks his goods at 30 % above its cost price and allows a discount of 25 %. How much profit/Loss percent does he make?
2.5 % profit
4 % loss
2.5 % loss
4 % profit
None of these
A, B and C together have Rs. 33250. If 3/7^{th} of A’s amount is equal to 2/3^{rd} of B’s amount and 1/4^{th} of B’s amount is equal to 5/8^{th} of C’s amount, then how much amount does A have?
Rs. 15250
Rs. 16750
Rs. 19800
Rs. 17500
None of these
A, B and C started a business by investing an amount of Rs. 45000, Rs. 65000 and Rs. 70000 respectively. After 3 months, A invested Rs. 15000 more and B withdraw Rs. 5000. And after 4 months, C withdraws Rs. 15000. If the total profit at the end of the year is Rs. 114405, then find the share of A?
Rs. 35505
Rs. 32960
Rs. 28730
Rs. 265250
None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following bar graph shows total exports of India (In billion dollars) in different months in the year 2017
Find the average export of Cotton in the period of March to August?
7.627 billion dollars
8.845 billion dollars
9.123 billion dollars
6.452 billion dollars
None of these
Total export of Plastics and Chemical products in the month of May and June together is approximately what percentage of total export of Iron and steel and Meat in the month of July and August together?
82 %
96 %
73 %
108 %
115 %
Find the difference between the total exports of Meat in the month of March, May and July together to that of total exports of Iron and Steel in the month of April, June and August together?
2.51 billion dollars
3.87 billion dollars
4.26 billion dollars
1.94 billion dollars
None of these
Find the ratio between the total exports of Cotton in the month of July and August together to that of total exports of Chemical products in the month of March and April together?
412 : 245
349 : 178
623 : 452
899 : 531
None of these
Total exports of Cotton and Meat in the month of March and August together is approximately what percentage more/less than the total exports of Iron and Steel and Chemical products in the month of April and June together?
8 % more
4 % more
4 % less
8 % less
12 % more
Answers:
1). Answer d
[518*2759] / [(23/100)*1000] = 35*(351/9) + x – 5300
[518*2760] / 230 = 1365 + x – 5300
6216 – 1365 + 5300 = x
X = 10151 = 10150
2). Answer c
(729)^{2} × (117)^{2} ÷ (13)^{2}÷ 3^{5} = 3^{x}
3^{12} × (117*117) / (13*13) ÷ 3^{5} = 3^{x}
3^{12} × 81 ÷ 3^{5} = 3^{x}
3^{12} × 3^{4} ÷ 3^{5} = 3^{x}
3^{12 + 4 -5} = 3^{x}
3^{11} = 3^{x}
X = 11
3). Answer a
27 % of 300 + 43 % of 400 – 7 % of 600 = x
X = (27/100)*300 + (43/100)*400 – (7/100)*600
X = 81 + 172 – 42
X = 211 = 210
4). Answer b
45 % of 900 + 71 % of 800 – 24 % of 750 = x
X = (45/100)*900 + (71/100)*800 – (24/100)*750
X = 405 + 568 – 180
X = 793 = 795
5). Answer e
(9/28)*(392/72)*915 – 439 + (69/100)*1400 = x
X = 1600 – 439 + 966
X = 2130
Direction (6-10)
6). Answer a
The pattern is, *1/2, *3/2, *5/2, *7/2, *9/2,..
The answer is, 2992.5
7). Answer e
The pattern is, *1 + 2^{2}, *2 + 3^{2}, *3 + 4^{2}, *4 + 5^{2}, *5 + 6^{2},..
The answer is, 2821
8). Answer d
The pattern is, *2 + 1, *4 + 3, *6 + 5, *8 + 7,..
The answer is, 5375
9). Answer c
The pattern is, ÷ 2, ÷ 3, ÷ 4, ÷ 5,..
The answer is, 26.25
10). Answer b
The difference of difference is, 9^{2}, 8^{2}, 7^{2}, 6^{2},..
The answer is, 1511
11). Answer b
The ratio of the present age of Pavithra and Nivetha = 3: 5(3x, 5x)
7 years hence, their ratio = 11: 16
According to the question,
(3x + 7)/(5x + 7) = (11/16)
48x + 112 = 55x + 77
35 = 7x
X = 5
The present age of Pavithra and Nivetha = 15 and 25