“20-20” Quantitative Aptitude | Crack IBPS PO Prelims 2018 Day-214
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A and B together can complete a work in 15 days while A alone can complete the work in 24 days, then in how many days the work will get complete if they work on alternative days starting with A?
Correct
Answer: a)
Explanation:
A and B together can complete a work in = 15 days
(A + B)’s one day work = 1/15
A alone can complete the work in = 24 days
A’s one day work = 1/24
B’s one day work = 1/15 – 1/24 = (24 – 15)/(15*24) = 1/40
B can complete the work in 40 days
Total units = 120 (LCM of 24, 40)
A’s one day work = 5 units
B’s one day work = 3 units
Work done in 2 days = 5 + 3 = 8 units
Work done in 30 days = 8*15 = 120 units
Work will be completed in 30 days
Incorrect
Answer: a)
Explanation:
A and B together can complete a work in = 15 days
(A + B)’s one day work = 1/15
A alone can complete the work in = 24 days
A’s one day work = 1/24
B’s one day work = 1/15 – 1/24 = (24 – 15)/(15*24) = 1/40
B can complete the work in 40 days
Total units = 120 (LCM of 24, 40)
A’s one day work = 5 units
B’s one day work = 3 units
Work done in 2 days = 5 + 3 = 8 units
Work done in 30 days = 8*15 = 120 units
Work will be completed in 30 days
Question 12 of 20
12. Question
P, Q and R started a business by investing an amount of Rs. 45000, Rs. 60000 and Rs. 70000 respectively. After 3 months, P withdraws 40 % of his initial investment and R invested 20 % more of his initial investment. And after another 3 months, Q withdraws 30 % of his initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 38250?
A, B and C can do a piece of work in 15 days, 12 days and 24 days respectively. They are all working together. After completing the work, they got Rs. 3450. If the wages are divided in the proportion of their work, then find the share of A?
Correct
Answer: d)
Explanation:
A, B and C’s efficiency ratio = (1/15) : (1/12) : (1/24)
= > (8: 10: 5)/120
= > 8: 10: 5
23’s = 3450
1’s = 150
The share of A = 8*150 = Rs. 1200
Incorrect
Answer: d)
Explanation:
A, B and C’s efficiency ratio = (1/15) : (1/12) : (1/24)
= > (8: 10: 5)/120
= > 8: 10: 5
23’s = 3450
1’s = 150
The share of A = 8*150 = Rs. 1200
Question 14 of 20
14. Question
The simple interest accrued on an amount of Rs. 50000 at the end of 3 years is Rs. 12000. What would be corresponding Compound Interest?
Correct
Answer: b)
Explanation:
S.I = PNR/100
12000 = (50000*3*R)/100
R = (12000*100)/150000 = 8 %
The corresponding C.I:
50000*(8/100) = 4000
54000*(8/100) = 4320
58320*(8/100) = 4665.6
C.I = 4000 + 4320 + 4665.6 = Rs. 12985.60
Incorrect
Answer: b)
Explanation:
S.I = PNR/100
12000 = (50000*3*R)/100
R = (12000*100)/150000 = 8 %
The corresponding C.I:
50000*(8/100) = 4000
54000*(8/100) = 4320
58320*(8/100) = 4665.6
C.I = 4000 + 4320 + 4665.6 = Rs. 12985.60
Question 15 of 20
15. Question
The length and the breadth of rectangular plot are in the ratio of 8: 5. If the cost of fencing the plot at Rs. 40 per meter is Rs.7280. Find the area of the plot?
Correct
Answer: d)
Explanation:
The cost of fencing the plot at Rs. 40 per meter is Rs. 8400
= > 7280/40 = Perimeter of Rectangle
= > 182 = 2*(8x + 5x)
= > 13x = 91
= > x = 7
The length and the breadth of rectangular plot are in the ratio of 8:5
= > Length = 8x = 56 m, Breadth = 5x = 35 m
Area of the plot = 56*35
= > 1960 Sq meter
Incorrect
Answer: d)
Explanation:
The cost of fencing the plot at Rs. 40 per meter is Rs. 8400
= > 7280/40 = Perimeter of Rectangle
= > 182 = 2*(8x + 5x)
= > 13x = 91
= > x = 7
The length and the breadth of rectangular plot are in the ratio of 8:5
= > Length = 8x = 56 m, Breadth = 5x = 35 m
Area of the plot = 56*35
= > 1960 Sq meter
Question 16 of 20
16. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following table shows the total number of students passed in 10^{th} final examination from different schools in different years in a certain state.
Find the ratio between the total number of students passed the examination from School T to that of School P in all the given years together?
Correct
Answer: b)
Explanation:
The total number of students passed the examination from School P in all the given years together
= > 1152 + 1348 + 1546 + 1274 + 1056 = 6376
The total number of students passed the examination from School T in all the given years together
= > 1326 + 1420 + 1278 + 1356 + 1452 = 6832
Required ratio = 6832: 6376 = 854 : 797
Incorrect
Answer: b)
Explanation:
The total number of students passed the examination from School P in all the given years together
= > 1152 + 1348 + 1546 + 1274 + 1056 = 6376
The total number of students passed the examination from School T in all the given years together
= > 1326 + 1420 + 1278 + 1356 + 1452 = 6832
Required ratio = 6832: 6376 = 854 : 797
Question 17 of 20
17. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following table shows the total number of students passed in 10^{th} final examination from different schools in different years in a certain state.
Find the difference between the total number of students passed in the year 2013 to that in the year 2015 from all the given Schools together?
Correct
Answer: d)
Explanation:
The total number of students passed in the year 2013 from all the given Schools together
= > 1348 + 1636 + 1024 + 1338 + 1420 = 6766
The total number of students passed in the year 2015 from all the given Schools together
= > 1274 + 1885 + 1058 + 1560 + 1356 = 7133
Required difference = 7133 – 6766 = 367
Incorrect
Answer: d)
Explanation:
The total number of students passed in the year 2013 from all the given Schools together
= > 1348 + 1636 + 1024 + 1338 + 1420 = 6766
The total number of students passed in the year 2015 from all the given Schools together
= > 1274 + 1885 + 1058 + 1560 + 1356 = 7133
Required difference = 7133 – 6766 = 367
Question 18 of 20
18. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following table shows the total number of students passed in 10^{th} final examination from different schools in different years in a certain state.
Find the average number of students passed in the year 2016 of all the given schools together?
Correct
Answer: a)
Explanation:
The total number of students passed in the year 2016 of all the given schools together
= > 1056 + 1434 + 1278 + 1340 + 1452 = 6560
Required average = 6560/5 = 1312
Incorrect
Answer: a)
Explanation:
The total number of students passed in the year 2016 of all the given schools together
= > 1056 + 1434 + 1278 + 1340 + 1452 = 6560
Required average = 6560/5 = 1312
Question 19 of 20
19. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following table shows the total number of students passed in 10^{th} final examination from different schools in different years in a certain state.
If the ratio between the total number of male and female passed from School Q in 2012 and that from School S in 2015 is 11 : 8 and 5 : 3 respectively, then the total number of male passed from School Q in 2012 is approximately what percentage of total number of female passed from School S in 2015?
Correct
Answer: c)
Explanation:
The ratio between the total number of male and female passed from School Q in 2012 = 11 : 8
The ratio between the total number of male and female passed from School S in 2015 = 5 : 3
The total number of male passed from School Q in 2012
= > 1520*(11/19) = 880
The total number of female passed from School S in 2015
= > 1560*(3/8) = 585
Required % = (880/585)*100 = 150 %
Incorrect
Answer: c)
Explanation:
The ratio between the total number of male and female passed from School Q in 2012 = 11 : 8
The ratio between the total number of male and female passed from School S in 2015 = 5 : 3
The total number of male passed from School Q in 2012
= > 1520*(11/19) = 880
The total number of female passed from School S in 2015
= > 1560*(3/8) = 585
Required % = (880/585)*100 = 150 %
Question 20 of 20
20. Question
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following table shows the total number of students passed in 10^{th} final examination from different schools in different years in a certain state.
The total number of students passed from School Q in all the given years together is approximately what percentage more/less than the total number of students passed in the year 2014 from all the given schools together?
Correct
Answer: b)
Explanation:
The total number of students passed from School Q in all the given years together
= > 1520 + 1636 + 1780 + 1885 + 1434 = 8255
The total number of students passed in the year 2014 from all the given schools together
= > 1546 + 1780 + 1136 + 1280 + 1278 = 7020
Required % = [(8255 – 7020)/7020]*100 = 18 % more
Incorrect
Answer: b)
Explanation:
The total number of students passed from School Q in all the given years together
= > 1520 + 1636 + 1780 + 1885 + 1434 = 8255
The total number of students passed in the year 2014 from all the given schools together
= > 1546 + 1780 + 1136 + 1280 + 1278 = 7020
Required % = [(8255 – 7020)/7020]*100 = 18 % more
Click “Start Quiz” to attend these Questions and view Solutions
Directions (Q. 1 – 5): Find the wrong term in the following number series?
1) 28, 57, 172, 689, 3445, 20677
a) 20677
b) 28
c) 3445
d) 172
e) 689
2) 14, 8, 15, 38, 137, 621.5
a) 15
b) 137
c) 14
d) 621.5
e) 8
3) 453, 563, 693, 851, 1033, 1243
a) 563
b) 851
c) 1243
d) 693
e) 1033
4) 25, 42, 113, 438, 2175, 13034
a) 42
b) 25
c) 113
d) 2175
e) 438
5) 702, 812, 930, 1054, 1190, 1332
a) 812
b) 930
c) 1332
d) 1190
e) 1054
Directions (Q. 6 – 10) what approximate value should come in place of question mark (?) in the following questions?
6) √(21609) ÷ 7.12 × 15.21 = ? – 16759 ÷ 9
a) 2850
b) 3435
c) 2180
d) 1965
e) 1350
7) (12.89)^{2} + 48 % of 701 – (2/7) of 1224 =? – (6.12)^{3}
a) 370
b) 290
c) 210
d) 330
e) 425
8) 34484 ÷ 11 + (5/9) of 12149 + 56 % of 8998 = ?^{2} – 451.32
a) 118
b) 132
c) 126
d) 130
e) 124
9) ? % of 502 – 8.21 % of 3001 – (3/8) of (2/3) of 71 = 23
11) A and B together can complete a work in 15 days while A alone can complete the work in 24 days, then in how many days the work will get complete if they work on alternative days starting with A?
a) 30 days
b) 28 days
c) 32 days
d) 34 days
e) None of these
12) P, Q and R started a business by investing an amount of Rs. 45000, Rs. 60000 and Rs. 70000 respectively. After 3 months, P withdraws 40 % of his initial investment and R invested 20 % more of his initial investment. And after another 3 months, Q withdraws 30 % of his initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 38250?
a) Rs. 137000
b) Rs. 114200
c) Rs. 122250
d) Rs. 105600
e) None of these
13) A, B and C can do a piece of work in 15 days, 12 days and 24 days respectively. They are all working together. After completing the work, they got Rs. 3450. If the wages are divided in the proportion of their work, then find the share of A?
a) Rs. 1350
b) Rs. 1300
c) Rs. 1150
d) Rs. 1200
e) None of these
14) The simple interest accrued on an amount of Rs. 50000 at the end of 3 years is Rs. 12000. What would be corresponding Compound Interest?
a) Rs. 13217.20
b) Rs. 12985.60
c) Rs. 12543.30
d) Rs. 10286.70
e) None of these
15) The length and the breadth of rectangular plot are in the ratio of 8: 5. If the cost of fencing the plot at Rs. 40 per meter is Rs.7280. Find the area of the plot?
a) 2136 Sq meter
b) 1850 Sq meter
c) 1628 Sq meter
d) 1960 Sq meter
e) None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following table shows the total number of students passed in 10^{th} final examination from different schools in different years in a certain state.
16) Find the ratio between the total number of students passed the examination from School T to that of School P in all the given years together?
a) 327: 213
b) 854: 797
c) 89: 62
d) 23: 11
e) None of these
17) Find the difference between the total number of students passed in the year 2013 to that in the year 2015 from all the given Schools together?
a) 419
b) 473
c) 355
d) 367
e) None of these
18) Find the average number of students passed in the year 2016 of all the given schools together?
a) 1312
b) 1278
c) 1356
d) 1290
e) None of these
19) If the ratio between the total number of male and female passed from School Q in 2012 and that from School S in 2015 is 11 : 8 and 5 : 3 respectively, then the total number of male passed from School Q in 2012 is approximately what percentage of total number of female passed from School S in 2015?
a) 120 %
b) 135 %
c) 150 %
d) 95 %
e) 70 %
20) The total number of students passed from School Q in all the given years together is approximately what percentage more/less than the total number of students passed in the year 2014 from all the given schools together?
a) 32 % more
b) 18 % more
c) 20 % less
d) 20 % more
e) 18 % less
Answers :
Direction (1-5) :
1). Answer: c)
Explanation:
The correct series is,
28, 57, 172, 689, 3446, 20677
The pattern is, *2 + 1, *3 + 1, *4 + 1, *5 + 1, *6 + 1,..
The wrong term is, 3445
2). Answer: a)
Explanation:
The correct series is,
14, 8, 14, 38, 137, 621.5
The pattern is, *0.5 + 1, *1.5 + 2, *2.5 + 3, *3.5 + 4, *4.5 + 5,..
The wrong term is, 15
3). Answer: d)
Explanation:
The correct series is,
453, 563, 695, 851, 1033, 1243
The pattern is, +11^{2} – 11, +12^{2} – 12, +13^{2} – 13, +14^{2} – 14, +15^{2} – 15,..
The wrong term is, 693
4). Answer: b)
Explanation:
The correct series is,
27, 42, 113, 438, 2175, 13034
The pattern is, *2 – 12, *3 – 13, *4 – 14, *5 – 15, *6 – 16,..