IBPS PO Prelims Question Paper Solution-2017

# IBPS PO Prelims Question Paper Solution-2017 | IBPS PO Prelims & Mains - Documents, Videos & Tests - Bank Exams PDF Download

``` Page 1

1

Solutions
1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80
2. Ans. D.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159
3. Ans. B.
5 = 3 + (1
3
+ 1)
15 = 5 + (2
3
+ 2)
45 = 15 + (3
3
+ 3)
113 = 45 + (4
3
+ 4)
? = 113 + (5
3
+ 5), i.e. ? = 243
4. Ans. A.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
5. Ans. C.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
4.5 = 9/2
6. Ans. E.
Approximating the values:
(v81 - v25) × (v121 + v16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60
7. Ans. B.
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19
8. Ans. C.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340
9. Ans. A.
v(3100 ÷ 62 + 14) = ?
v(50 + 14) = ?
v64 = ?
? = 8
10. Ans. C.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29
11. Ans. A.
25% of 84 ÷ 7 = ?
[(25 × 84)/100]÷ 7 = ?
21÷ 7 = ?
? = 3
12. Ans. B.
Approximate average number of books sold by
Shop B during all the days together
= (15+10+22+22.5+25+17.5)*100/ 6 = 11200/6
= 1866.66, i.e. approximately 1867
13. Ans. C.
Books sold by Shop A on all days
=(12.5+15+22.5+20+22.5+15)*100 = 10750
Books sold by Shop B on all days =
(15+10+22+22.5+25+17.5)*100 = 11200
Total number of books sold by both Shop A and B
on all the days together = 11200 + 10750 = 21950
Number of books sold by Shop B on Friday= 25 ×
100 = 2500
Required percentage = (2500/21950)*100 = 11%
(Approx)
14. Ans. E.
Number of books sold by Shop A on Thursday = 20
× 100 = 2000
number of books sold by Shop B on Monday = 15 ×
100 = 1500
Required ratio = 2000 : 1500 = 4 : 3
15. Ans. D.
Total number of books sold on Friday = (22.5 + 25)
× 100 = 4750
Total number of books sold on Thursday = (20 +
22.5) × 100
= 4250
Required percentage = 4750 : 4250
= 19 : 17
16. Ans. D.
The total books sold by Shop B on all days
excluding Wednesday = (15 + 10 + 22.5 + 25 +
17.5) = 90
Total number of books sold on Thursday, Friday and
Saturday together =65
Required % = 90/65*100 =
138.5%, approximately

Page 2

1

Solutions
1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80
2. Ans. D.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159
3. Ans. B.
5 = 3 + (1
3
+ 1)
15 = 5 + (2
3
+ 2)
45 = 15 + (3
3
+ 3)
113 = 45 + (4
3
+ 4)
? = 113 + (5
3
+ 5), i.e. ? = 243
4. Ans. A.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
5. Ans. C.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
4.5 = 9/2
6. Ans. E.
Approximating the values:
(v81 - v25) × (v121 + v16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60
7. Ans. B.
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19
8. Ans. C.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340
9. Ans. A.
v(3100 ÷ 62 + 14) = ?
v(50 + 14) = ?
v64 = ?
? = 8
10. Ans. C.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29
11. Ans. A.
25% of 84 ÷ 7 = ?
[(25 × 84)/100]÷ 7 = ?
21÷ 7 = ?
? = 3
12. Ans. B.
Approximate average number of books sold by
Shop B during all the days together
= (15+10+22+22.5+25+17.5)*100/ 6 = 11200/6
= 1866.66, i.e. approximately 1867
13. Ans. C.
Books sold by Shop A on all days
=(12.5+15+22.5+20+22.5+15)*100 = 10750
Books sold by Shop B on all days =
(15+10+22+22.5+25+17.5)*100 = 11200
Total number of books sold by both Shop A and B
on all the days together = 11200 + 10750 = 21950
Number of books sold by Shop B on Friday= 25 ×
100 = 2500
Required percentage = (2500/21950)*100 = 11%
(Approx)
14. Ans. E.
Number of books sold by Shop A on Thursday = 20
× 100 = 2000
number of books sold by Shop B on Monday = 15 ×
100 = 1500
Required ratio = 2000 : 1500 = 4 : 3
15. Ans. D.
Total number of books sold on Friday = (22.5 + 25)
× 100 = 4750
Total number of books sold on Thursday = (20 +
22.5) × 100
= 4250
Required percentage = 4750 : 4250
= 19 : 17
16. Ans. D.
The total books sold by Shop B on all days
excluding Wednesday = (15 + 10 + 22.5 + 25 +
17.5) = 90
Total number of books sold on Thursday, Friday and
Saturday together =65
Required % = 90/65*100 =
138.5%, approximately

2

17. Ans. B.
Students who take part in group activities from
class
VII = (280-210) = 70
VIII = (310-220) = 90
X = (220 - 160) = 60
Average = (70+90+60)/3 = 73.33, i.e.
approximately 73
18. Ans. D.
Students who participate in group singing from
class VIII = (310-220)* 4/5 = 72
Students who participate in quiz from IX class =
(185-95)*2/5 = 36
Required Ratio = 72:36, i.e. 2:1
19. Ans. A.
Number of students who take part in quiz from VII
& VIII classes together = (70*2/7) + 90*1/5 = 20
+ 18 = 38
total students who take part in any activity from
Class IX = 185-95 = 90
Required Difference = 90 - 38 = 52
20. Ans. B.
Students who take part in group singing from VIII
and X together = (90*4/5) + (60*7/10) = 72 + 42
= 114
Students who take part in quiz from VII = 70*2/7
= 20
Required percent = 20/114*100 = 17.54%, i.e.
approximately 17%
21. Ans. E.
Total students who take part in quiz from all the
classes together =
(70*2/7) + (90*1/5) + (90*2/5) + (60*3/10)
= 20 + 18 + 36 + 18 = 92
22. Ans. C.
Total students who take part in any activity from
class VII, VIII & IX = 70 + 90 + 90 = 250
Total students who do not take part in any activity
from class IX = 95
Required % = 95/250 * 100 = 38
23. Ans. C.
Given that length of first train + length of second
train = 660
Speed of first train : Speed of second train = 5:8 =
5x : 8x
Time taken to cross the poll by two trains = 4:3 =
4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

24. Ans. D.
Currently :
A+B+C+D = 76
According to ques , after 7 years
A+B+C+D = 7x+6x+5x+8x = 76+7*4
26x = 76 + 28
X = 104/26
x = 4
C’s present age
= 5x – 7 =
20 – 7
= 13
25. Ans. C.
Let 4 consecutive even numbers are
x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x ² + 22x
11x ² - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14
26. Ans. B.
Let digit = xyz
Given y = 3
According to the question =
(100z+10y+x) - (100x+10y+z) = 396x
99z-99x = 396
Z-x = 4
Also, Z+ x = 14
Solving (i) & (ii)
Z = 9 , x= 5
The original number is 539
27. Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720
Page 3

1

Solutions
1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80
2. Ans. D.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159
3. Ans. B.
5 = 3 + (1
3
+ 1)
15 = 5 + (2
3
+ 2)
45 = 15 + (3
3
+ 3)
113 = 45 + (4
3
+ 4)
? = 113 + (5
3
+ 5), i.e. ? = 243
4. Ans. A.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
5. Ans. C.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
4.5 = 9/2
6. Ans. E.
Approximating the values:
(v81 - v25) × (v121 + v16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60
7. Ans. B.
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19
8. Ans. C.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340
9. Ans. A.
v(3100 ÷ 62 + 14) = ?
v(50 + 14) = ?
v64 = ?
? = 8
10. Ans. C.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29
11. Ans. A.
25% of 84 ÷ 7 = ?
[(25 × 84)/100]÷ 7 = ?
21÷ 7 = ?
? = 3
12. Ans. B.
Approximate average number of books sold by
Shop B during all the days together
= (15+10+22+22.5+25+17.5)*100/ 6 = 11200/6
= 1866.66, i.e. approximately 1867
13. Ans. C.
Books sold by Shop A on all days
=(12.5+15+22.5+20+22.5+15)*100 = 10750
Books sold by Shop B on all days =
(15+10+22+22.5+25+17.5)*100 = 11200
Total number of books sold by both Shop A and B
on all the days together = 11200 + 10750 = 21950
Number of books sold by Shop B on Friday= 25 ×
100 = 2500
Required percentage = (2500/21950)*100 = 11%
(Approx)
14. Ans. E.
Number of books sold by Shop A on Thursday = 20
× 100 = 2000
number of books sold by Shop B on Monday = 15 ×
100 = 1500
Required ratio = 2000 : 1500 = 4 : 3
15. Ans. D.
Total number of books sold on Friday = (22.5 + 25)
× 100 = 4750
Total number of books sold on Thursday = (20 +
22.5) × 100
= 4250
Required percentage = 4750 : 4250
= 19 : 17
16. Ans. D.
The total books sold by Shop B on all days
excluding Wednesday = (15 + 10 + 22.5 + 25 +
17.5) = 90
Total number of books sold on Thursday, Friday and
Saturday together =65
Required % = 90/65*100 =
138.5%, approximately

2

17. Ans. B.
Students who take part in group activities from
class
VII = (280-210) = 70
VIII = (310-220) = 90
X = (220 - 160) = 60
Average = (70+90+60)/3 = 73.33, i.e.
approximately 73
18. Ans. D.
Students who participate in group singing from
class VIII = (310-220)* 4/5 = 72
Students who participate in quiz from IX class =
(185-95)*2/5 = 36
Required Ratio = 72:36, i.e. 2:1
19. Ans. A.
Number of students who take part in quiz from VII
& VIII classes together = (70*2/7) + 90*1/5 = 20
+ 18 = 38
total students who take part in any activity from
Class IX = 185-95 = 90
Required Difference = 90 - 38 = 52
20. Ans. B.
Students who take part in group singing from VIII
and X together = (90*4/5) + (60*7/10) = 72 + 42
= 114
Students who take part in quiz from VII = 70*2/7
= 20
Required percent = 20/114*100 = 17.54%, i.e.
approximately 17%
21. Ans. E.
Total students who take part in quiz from all the
classes together =
(70*2/7) + (90*1/5) + (90*2/5) + (60*3/10)
= 20 + 18 + 36 + 18 = 92
22. Ans. C.
Total students who take part in any activity from
class VII, VIII & IX = 70 + 90 + 90 = 250
Total students who do not take part in any activity
from class IX = 95
Required % = 95/250 * 100 = 38
23. Ans. C.
Given that length of first train + length of second
train = 660
Speed of first train : Speed of second train = 5:8 =
5x : 8x
Time taken to cross the poll by two trains = 4:3 =
4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

24. Ans. D.
Currently :
A+B+C+D = 76
According to ques , after 7 years
A+B+C+D = 7x+6x+5x+8x = 76+7*4
26x = 76 + 28
X = 104/26
x = 4
C’s present age
= 5x – 7 =
20 – 7
= 13
25. Ans. C.
Let 4 consecutive even numbers are
x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x ² + 22x
11x ² - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14
26. Ans. B.
Let digit = xyz
Given y = 3
According to the question =
(100z+10y+x) - (100x+10y+z) = 396x
99z-99x = 396
Z-x = 4
Also, Z+ x = 14
Solving (i) & (ii)
Z = 9 , x= 5
The original number is 539
27. Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

3

28. Ans. D.
Time taken by A to complete a work alone - 24
days
Time taken by A in completing 1/3 of work =
24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A
& B start working together?
16*24 / 40
= 48/5 Days
29. Ans. C.
Solution:-Distance covered by 1st train in 4 hours
= 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station A =
8*120 = 960 km
30. Ans. A.
Let B’s investment = x rs.
? A’s investment =( x + 1200) rs.
Ratio of the profits of A and B =
(x+1200)*(15+4):x*15
= {19(x+1200)}:15x
Now,let the total profit of A =y
? total profit of B = (y-280)
But total profit = 1240
?y+(y-280)=1240
?2y=1520
?y= 760
?profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,
=
?
?3x = 14400
?x = 4800 rs.
?investment of A = 4800+1200
= 6000 rs.
31. Ans. A.
Suppose the two liquids A and B are 7x litres and
5x litres respectively
Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

32. Ans. B.
Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3
years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1
st
year, Interest = (12/100)*x
For 2
nd
year, interest = (12/100)*x + (12/100)*x +
(144/10000)*x
For 3
rd
year, interest = (12/100)*x + (12/100)*x +
(12/100)*x + (144/10000)*x + (144/10000)*x +
(1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way:     Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value
of P.
33. Ans. B.
Let radius of the base and height of the cone be ‘r’
& ‘h’ respectively.
Then volume of cone = pr
2
h/3
For cylinder, radius is reduced by 4 times = r/4
And, height is increased by 8 folds = 8h
Volume of cylinder = pR
2
H = p(r/4)
2
(8h) =
(16/8)pr
2
h = pr
2
h/2
Ratio of volume of cone to volume of cylinder =
(pr
2
h/3) : (pr
2
h/2)
Or, Ratio = 2 : 3.

Page 4

1

Solutions
1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80
2. Ans. D.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159
3. Ans. B.
5 = 3 + (1
3
+ 1)
15 = 5 + (2
3
+ 2)
45 = 15 + (3
3
+ 3)
113 = 45 + (4
3
+ 4)
? = 113 + (5
3
+ 5), i.e. ? = 243
4. Ans. A.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
5. Ans. C.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
4.5 = 9/2
6. Ans. E.
Approximating the values:
(v81 - v25) × (v121 + v16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60
7. Ans. B.
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19
8. Ans. C.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340
9. Ans. A.
v(3100 ÷ 62 + 14) = ?
v(50 + 14) = ?
v64 = ?
? = 8
10. Ans. C.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29
11. Ans. A.
25% of 84 ÷ 7 = ?
[(25 × 84)/100]÷ 7 = ?
21÷ 7 = ?
? = 3
12. Ans. B.
Approximate average number of books sold by
Shop B during all the days together
= (15+10+22+22.5+25+17.5)*100/ 6 = 11200/6
= 1866.66, i.e. approximately 1867
13. Ans. C.
Books sold by Shop A on all days
=(12.5+15+22.5+20+22.5+15)*100 = 10750
Books sold by Shop B on all days =
(15+10+22+22.5+25+17.5)*100 = 11200
Total number of books sold by both Shop A and B
on all the days together = 11200 + 10750 = 21950
Number of books sold by Shop B on Friday= 25 ×
100 = 2500
Required percentage = (2500/21950)*100 = 11%
(Approx)
14. Ans. E.
Number of books sold by Shop A on Thursday = 20
× 100 = 2000
number of books sold by Shop B on Monday = 15 ×
100 = 1500
Required ratio = 2000 : 1500 = 4 : 3
15. Ans. D.
Total number of books sold on Friday = (22.5 + 25)
× 100 = 4750
Total number of books sold on Thursday = (20 +
22.5) × 100
= 4250
Required percentage = 4750 : 4250
= 19 : 17
16. Ans. D.
The total books sold by Shop B on all days
excluding Wednesday = (15 + 10 + 22.5 + 25 +
17.5) = 90
Total number of books sold on Thursday, Friday and
Saturday together =65
Required % = 90/65*100 =
138.5%, approximately

2

17. Ans. B.
Students who take part in group activities from
class
VII = (280-210) = 70
VIII = (310-220) = 90
X = (220 - 160) = 60
Average = (70+90+60)/3 = 73.33, i.e.
approximately 73
18. Ans. D.
Students who participate in group singing from
class VIII = (310-220)* 4/5 = 72
Students who participate in quiz from IX class =
(185-95)*2/5 = 36
Required Ratio = 72:36, i.e. 2:1
19. Ans. A.
Number of students who take part in quiz from VII
& VIII classes together = (70*2/7) + 90*1/5 = 20
+ 18 = 38
total students who take part in any activity from
Class IX = 185-95 = 90
Required Difference = 90 - 38 = 52
20. Ans. B.
Students who take part in group singing from VIII
and X together = (90*4/5) + (60*7/10) = 72 + 42
= 114
Students who take part in quiz from VII = 70*2/7
= 20
Required percent = 20/114*100 = 17.54%, i.e.
approximately 17%
21. Ans. E.
Total students who take part in quiz from all the
classes together =
(70*2/7) + (90*1/5) + (90*2/5) + (60*3/10)
= 20 + 18 + 36 + 18 = 92
22. Ans. C.
Total students who take part in any activity from
class VII, VIII & IX = 70 + 90 + 90 = 250
Total students who do not take part in any activity
from class IX = 95
Required % = 95/250 * 100 = 38
23. Ans. C.
Given that length of first train + length of second
train = 660
Speed of first train : Speed of second train = 5:8 =
5x : 8x
Time taken to cross the poll by two trains = 4:3 =
4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

24. Ans. D.
Currently :
A+B+C+D = 76
According to ques , after 7 years
A+B+C+D = 7x+6x+5x+8x = 76+7*4
26x = 76 + 28
X = 104/26
x = 4
C’s present age
= 5x – 7 =
20 – 7
= 13
25. Ans. C.
Let 4 consecutive even numbers are
x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x ² + 22x
11x ² - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14
26. Ans. B.
Let digit = xyz
Given y = 3
According to the question =
(100z+10y+x) - (100x+10y+z) = 396x
99z-99x = 396
Z-x = 4
Also, Z+ x = 14
Solving (i) & (ii)
Z = 9 , x= 5
The original number is 539
27. Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

3

28. Ans. D.
Time taken by A to complete a work alone - 24
days
Time taken by A in completing 1/3 of work =
24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A
& B start working together?
16*24 / 40
= 48/5 Days
29. Ans. C.
Solution:-Distance covered by 1st train in 4 hours
= 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station A =
8*120 = 960 km
30. Ans. A.
Let B’s investment = x rs.
? A’s investment =( x + 1200) rs.
Ratio of the profits of A and B =
(x+1200)*(15+4):x*15
= {19(x+1200)}:15x
Now,let the total profit of A =y
? total profit of B = (y-280)
But total profit = 1240
?y+(y-280)=1240
?2y=1520
?y= 760
?profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,
=
?
?3x = 14400
?x = 4800 rs.
?investment of A = 4800+1200
= 6000 rs.
31. Ans. A.
Suppose the two liquids A and B are 7x litres and
5x litres respectively
Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

32. Ans. B.
Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3
years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1
st
year, Interest = (12/100)*x
For 2
nd
year, interest = (12/100)*x + (12/100)*x +
(144/10000)*x
For 3
rd
year, interest = (12/100)*x + (12/100)*x +
(12/100)*x + (144/10000)*x + (144/10000)*x +
(1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way:     Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value
of P.
33. Ans. B.
Let radius of the base and height of the cone be ‘r’
& ‘h’ respectively.
Then volume of cone = pr
2
h/3
For cylinder, radius is reduced by 4 times = r/4
And, height is increased by 8 folds = 8h
Volume of cylinder = pR
2
H = p(r/4)
2
(8h) =
(16/8)pr
2
h = pr
2
h/2
Ratio of volume of cone to volume of cylinder =
(pr
2
h/3) : (pr
2
h/2)
Or, Ratio = 2 : 3.

4

34. Ans. E.
Suppose the speed of boat in still water is x km/h
and speed of stream is y km/h
Speed of boat in downstream = (x + y) km/h
x + y = 32 …(i)
Speed of boat in upstream = (x – y) km/h
x – y = 28 …(ii)
Add. Eqs. (i) and (ii), we get
2x = 60
x = 30 km/h
35. Ans. D.
CP of mixture = {(40*3+60*2)/2+3} = 48
SP of the mixture = 1.1 48 =52.8
36. Ans. D.
In option D, ‘apart’ is incorrect after ‘to drain
water’.
37. Ans. C.
In option C, ‘has’ is incorrectly used since the
sentence is in past tense. Moreover, the subject is
cities, which is plural.
38. Ans. D.
Option D: ‘Documentation of the seasonality in
native people’ doesn’t make sense.
39. Ans. E.
Options A, C and E in the absence of a proper
subject add the ‘bag’ automatically to the verb
‘racing for the bus’. So, it does not make any sense
as it would mean that the bag is racing for the bus.
Option B is incorrect because of the fragment
‘making the documents lose’. Option D doesn't
convey a proper meaning.
40. Ans. D.
We have to find the incorrect statement. All the
sentences except D have been correctly structured.
In option D, the phrase ‘complied into by’ is
incorrect. You "comply with" a rule or a law and not
by cities.
41. Ans. E.
Option A: ‘legally state-issued currencies’ is
incorrect. The word describes the state-issued
currencies; hence it should be an adjective and not
Option B: ‘state-issues’ is incorrect and should be
replaced by ‘state-issued’.
Option C: ‘carry in’ is grammatically incorrect.
Option D: ‘to carrying out’ is grammatically
incorrect.
42. Ans. E.
Triptych means a set of three associated artistic,
literary, or musical works intended to be
appreciated together.

Triptychal doesn’t make sense, hence options A, B
and C can be eliminated.
Sentence D doesn’t convey any meaning.
43. Ans. B.
Option B- ‘stations of numerical small nations’ is
incorrect.
The other statements make complete sense, hence
are correct.
44. Ans. E.
In the given sentences, boiled down is the phrasal
verb that should have been used which means
summarizing something, to reduce or simplify
(something) to the most basic, essential, or
fundamental element(s). In this context it means
that the one who had more power, succeeded.
'Boiled down' should be followed by 'to' and not
'for', hence option D is incorrect.
45. Ans. D.
Solution: In the given sentences banking upon is
the correct phrasal verb which means basing hopes
on someone/something or depending on someone
for something.
Option D is incorrect because bank of does not have
any relevant meaning in the given context.
46. Ans. A.
The answer is 'give me a ballpark figure of how
much this event is going to cost.' A ballpark figure
is a rough numerical estimate or approximation.
47. Ans. C.
The statement is in general sense and doesn’t talk
in past or future context specifically. Therefore one
must use the present tense of the verb. Thus,
48. Ans. B.
‘to stick to one’s guns’ means refuse to compromise
or change, despite criticism. It is a phrasal verb
hence we can’t make any changes in the
prepositions used. The sentence is in past tense,
hence stick should be replaced by stuck.
49. Ans. B.
The correct form of verb to be used after 'will' is
'help.' Verbs are not needed in infinitive or
participle form here since the effect of the disposal
of assets will be seen in the future. So option B is
50. Ans. B.
The correct preposition here would be 'by'.
By follows 'represented' when something takes the
place of and refers to something bigger.
With follows 'represented' when an attribute with
which something or someone is depicted.
A contract is not represented in a policy but stated
in a policy.
Page 5

1

Solutions
1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80
2. Ans. D.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159
3. Ans. B.
5 = 3 + (1
3
+ 1)
15 = 5 + (2
3
+ 2)
45 = 15 + (3
3
+ 3)
113 = 45 + (4
3
+ 4)
? = 113 + (5
3
+ 5), i.e. ? = 243
4. Ans. A.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
5. Ans. C.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
4.5 = 9/2
6. Ans. E.
Approximating the values:
(v81 - v25) × (v121 + v16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60
7. Ans. B.
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19
8. Ans. C.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340
9. Ans. A.
v(3100 ÷ 62 + 14) = ?
v(50 + 14) = ?
v64 = ?
? = 8
10. Ans. C.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29
11. Ans. A.
25% of 84 ÷ 7 = ?
[(25 × 84)/100]÷ 7 = ?
21÷ 7 = ?
? = 3
12. Ans. B.
Approximate average number of books sold by
Shop B during all the days together
= (15+10+22+22.5+25+17.5)*100/ 6 = 11200/6
= 1866.66, i.e. approximately 1867
13. Ans. C.
Books sold by Shop A on all days
=(12.5+15+22.5+20+22.5+15)*100 = 10750
Books sold by Shop B on all days =
(15+10+22+22.5+25+17.5)*100 = 11200
Total number of books sold by both Shop A and B
on all the days together = 11200 + 10750 = 21950
Number of books sold by Shop B on Friday= 25 ×
100 = 2500
Required percentage = (2500/21950)*100 = 11%
(Approx)
14. Ans. E.
Number of books sold by Shop A on Thursday = 20
× 100 = 2000
number of books sold by Shop B on Monday = 15 ×
100 = 1500
Required ratio = 2000 : 1500 = 4 : 3
15. Ans. D.
Total number of books sold on Friday = (22.5 + 25)
× 100 = 4750
Total number of books sold on Thursday = (20 +
22.5) × 100
= 4250
Required percentage = 4750 : 4250
= 19 : 17
16. Ans. D.
The total books sold by Shop B on all days
excluding Wednesday = (15 + 10 + 22.5 + 25 +
17.5) = 90
Total number of books sold on Thursday, Friday and
Saturday together =65
Required % = 90/65*100 =
138.5%, approximately

2

17. Ans. B.
Students who take part in group activities from
class
VII = (280-210) = 70
VIII = (310-220) = 90
X = (220 - 160) = 60
Average = (70+90+60)/3 = 73.33, i.e.
approximately 73
18. Ans. D.
Students who participate in group singing from
class VIII = (310-220)* 4/5 = 72
Students who participate in quiz from IX class =
(185-95)*2/5 = 36
Required Ratio = 72:36, i.e. 2:1
19. Ans. A.
Number of students who take part in quiz from VII
& VIII classes together = (70*2/7) + 90*1/5 = 20
+ 18 = 38
total students who take part in any activity from
Class IX = 185-95 = 90
Required Difference = 90 - 38 = 52
20. Ans. B.
Students who take part in group singing from VIII
and X together = (90*4/5) + (60*7/10) = 72 + 42
= 114
Students who take part in quiz from VII = 70*2/7
= 20
Required percent = 20/114*100 = 17.54%, i.e.
approximately 17%
21. Ans. E.
Total students who take part in quiz from all the
classes together =
(70*2/7) + (90*1/5) + (90*2/5) + (60*3/10)
= 20 + 18 + 36 + 18 = 92
22. Ans. C.
Total students who take part in any activity from
class VII, VIII & IX = 70 + 90 + 90 = 250
Total students who do not take part in any activity
from class IX = 95
Required % = 95/250 * 100 = 38
23. Ans. C.
Given that length of first train + length of second
train = 660
Speed of first train : Speed of second train = 5:8 =
5x : 8x
Time taken to cross the poll by two trains = 4:3 =
4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

24. Ans. D.
Currently :
A+B+C+D = 76
According to ques , after 7 years
A+B+C+D = 7x+6x+5x+8x = 76+7*4
26x = 76 + 28
X = 104/26
x = 4
C’s present age
= 5x – 7 =
20 – 7
= 13
25. Ans. C.
Let 4 consecutive even numbers are
x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x ² + 22x
11x ² - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14
26. Ans. B.
Let digit = xyz
Given y = 3
According to the question =
(100z+10y+x) - (100x+10y+z) = 396x
99z-99x = 396
Z-x = 4
Also, Z+ x = 14
Solving (i) & (ii)
Z = 9 , x= 5
The original number is 539
27. Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

3

28. Ans. D.
Time taken by A to complete a work alone - 24
days
Time taken by A in completing 1/3 of work =
24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A
& B start working together?
16*24 / 40
= 48/5 Days
29. Ans. C.
Solution:-Distance covered by 1st train in 4 hours
= 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station A =
8*120 = 960 km
30. Ans. A.
Let B’s investment = x rs.
? A’s investment =( x + 1200) rs.
Ratio of the profits of A and B =
(x+1200)*(15+4):x*15
= {19(x+1200)}:15x
Now,let the total profit of A =y
? total profit of B = (y-280)
But total profit = 1240
?y+(y-280)=1240
?2y=1520
?y= 760
?profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,
=
?
?3x = 14400
?x = 4800 rs.
?investment of A = 4800+1200
= 6000 rs.
31. Ans. A.
Suppose the two liquids A and B are 7x litres and
5x litres respectively
Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

32. Ans. B.
Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3
years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1
st
year, Interest = (12/100)*x
For 2
nd
year, interest = (12/100)*x + (12/100)*x +
(144/10000)*x
For 3
rd
year, interest = (12/100)*x + (12/100)*x +
(12/100)*x + (144/10000)*x + (144/10000)*x +
(1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way:     Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value
of P.
33. Ans. B.
Let radius of the base and height of the cone be ‘r’
& ‘h’ respectively.
Then volume of cone = pr
2
h/3
For cylinder, radius is reduced by 4 times = r/4
And, height is increased by 8 folds = 8h
Volume of cylinder = pR
2
H = p(r/4)
2
(8h) =
(16/8)pr
2
h = pr
2
h/2
Ratio of volume of cone to volume of cylinder =
(pr
2
h/3) : (pr
2
h/2)
Or, Ratio = 2 : 3.

4

34. Ans. E.
Suppose the speed of boat in still water is x km/h
and speed of stream is y km/h
Speed of boat in downstream = (x + y) km/h
x + y = 32 …(i)
Speed of boat in upstream = (x – y) km/h
x – y = 28 …(ii)
Add. Eqs. (i) and (ii), we get
2x = 60
x = 30 km/h
35. Ans. D.
CP of mixture = {(40*3+60*2)/2+3} = 48
SP of the mixture = 1.1 48 =52.8
36. Ans. D.
In option D, ‘apart’ is incorrect after ‘to drain
water’.
37. Ans. C.
In option C, ‘has’ is incorrectly used since the
sentence is in past tense. Moreover, the subject is
cities, which is plural.
38. Ans. D.
Option D: ‘Documentation of the seasonality in
native people’ doesn’t make sense.
39. Ans. E.
Options A, C and E in the absence of a proper
subject add the ‘bag’ automatically to the verb
‘racing for the bus’. So, it does not make any sense
as it would mean that the bag is racing for the bus.
Option B is incorrect because of the fragment
‘making the documents lose’. Option D doesn't
convey a proper meaning.
40. Ans. D.
We have to find the incorrect statement. All the
sentences except D have been correctly structured.
In option D, the phrase ‘complied into by’ is
incorrect. You "comply with" a rule or a law and not
by cities.
41. Ans. E.
Option A: ‘legally state-issued currencies’ is
incorrect. The word describes the state-issued
currencies; hence it should be an adjective and not
Option B: ‘state-issues’ is incorrect and should be
replaced by ‘state-issued’.
Option C: ‘carry in’ is grammatically incorrect.
Option D: ‘to carrying out’ is grammatically
incorrect.
42. Ans. E.
Triptych means a set of three associated artistic,
literary, or musical works intended to be
appreciated together.

Triptychal doesn’t make sense, hence options A, B
and C can be eliminated.
Sentence D doesn’t convey any meaning.
43. Ans. B.
Option B- ‘stations of numerical small nations’ is
incorrect.
The other statements make complete sense, hence
are correct.
44. Ans. E.
In the given sentences, boiled down is the phrasal
verb that should have been used which means
summarizing something, to reduce or simplify
(something) to the most basic, essential, or
fundamental element(s). In this context it means
that the one who had more power, succeeded.
'Boiled down' should be followed by 'to' and not
'for', hence option D is incorrect.
45. Ans. D.
Solution: In the given sentences banking upon is
the correct phrasal verb which means basing hopes
on someone/something or depending on someone
for something.
Option D is incorrect because bank of does not have
any relevant meaning in the given context.
46. Ans. A.
The answer is 'give me a ballpark figure of how
much this event is going to cost.' A ballpark figure
is a rough numerical estimate or approximation.
47. Ans. C.
The statement is in general sense and doesn’t talk
in past or future context specifically. Therefore one
must use the present tense of the verb. Thus,
48. Ans. B.
‘to stick to one’s guns’ means refuse to compromise
or change, despite criticism. It is a phrasal verb
hence we can’t make any changes in the
prepositions used. The sentence is in past tense,
hence stick should be replaced by stuck.
49. Ans. B.
The correct form of verb to be used after 'will' is
'help.' Verbs are not needed in infinitive or
participle form here since the effect of the disposal
of assets will be seen in the future. So option B is
50. Ans. B.
The correct preposition here would be 'by'.
By follows 'represented' when something takes the
place of and refers to something bigger.
With follows 'represented' when an attribute with
which something or someone is depicted.
A contract is not represented in a policy but stated
in a policy.

5

51. Ans. C.
The answer is the ‘vilest thing that can be done by
a person.' Vile/vilest means extremely unpleasant.
Option A: A singular thing is being talked about
(indicated by ‘is’) hence, things can’t be used.
Option B: ‘is’ indicates singular activity, hence
things can’t be used.
Option C: It makes the sentence grammatically and
structurally correct.
52. Ans. B.
A- The subject is ‘trees’, which is plural, so the use
of ‘has’ is incorrect as a helping verb.
B- The fragment makes the sentence structurally
and grammatically correct.
D- The subject is plural and therefore ‘its’ can’t be
53. Ans. A.
‘in to’ is the wrong usage of preposition.
ii- ‘onto’ is the wrong usage of preposition.
iii- ‘Who’ is a redundant word and distorts the
meaning of the statement. .
‘puts at’ makes the sentence correct.
54. Ans. E.
i. is incorrect because of the incorrect use of open”.
ii. is incorrect because of the incorrect use of
“opened” hopefully represents future while opened
represents past. This makes the sentence
structurally incorrect.
C is correct because of the correct use of “would
open” and delivers correct meaning to the
sentence. 'would' is used to refer to the possibility
in the future which is supported by the use of the
word 'hopefully'.
iii. is incorrect because of the incorrect use of “is
opening”.
55. Ans. E.
i- ‘that things’ is incorrect.
ii- This is wrong because it is not unprofitable for
the professionals but the political masters of health
care.
iii-It is structurally incorrect. It should be has not
been.
56. Ans. D.
This can be interpreted from these lines, “Second,
reforms to the tax system were carried out, giving
the central government an increasing share of the
total fiscal revenue and thereby enhancing its
dominance over the allocation of resources. This
has seriously threatened marketization reform and,
arguably, has even damaged the market
mechanism and competition.” Hence, option D is

57. Ans. D.
In the given passage, the author has explained all
the factors that contributed to the imbalance in the
Chinese economy. Further, the implications of such
factors on the trade, finance and economy have
also been dealt with. Hence, the correct answer is
option D.
58. Ans. D.
Statement (i) can be interpreted from these lines,
“… the government retained its monopoly of
lucrative services such as telecommunication and
financial services while discarding the burden of
some public services.” Statement (ii) can be
interpreted from these lines, “The early 1990s
marked a turning point in the Chinese economy,
1970s when the policy of reform and opening was
adopted.” Statement (iii) is incorrect, rather the
policy of reforms exacerbated the unbalanced
situation which can be interpreted from these lines,
“As the significant changes got underway in the
early 1990s, they had the effect of enhancing, or of
situation.”
59. Ans. B.
The government expenditure and government
investment policies proved detrimental to
investment and household expenditure which can
be interpreted from these lines, “The third and
fourth developments since the early 1990s
(outlined above) mean that, in effect, government
expenditure is squeezing out household
expenditure, and government investment policies
(via SOEs and SOBs) are discouraging and even
forcing out private investment.” Hence, option B is
60. Ans. A.
Sluggish means dull or slow moving, torpid means
the same.
Torpid - mentally or physically inactive; lethargic.
Active - engaging or ready to engage in physically
energetic pursuits.
Spirited - full of energy, enthusiasm, and
determination.
Squally - related to weather
61. Ans. A.
Exacerbate means to make worse. Contrary to it,
'aid' which means to help is the most suitable
response.

```

## IBPS PO Prelims & Mains - Documents, Videos & Tests

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## FAQs on IBPS PO Prelims Question Paper Solution-2017 - IBPS PO Prelims & Mains - Documents, Videos & Tests - Bank Exams

 1. What is the IBPS PO Prelims exam?
Ans. The IBPS PO Prelims exam is a banking exam conducted by the Institute of Banking Personnel Selection (IBPS) to recruit probationary officers (PO) in various public sector banks in India. It is the first stage of the selection process.
 2. What is the pattern of the IBPS PO Prelims exam?
Ans. The IBPS PO Prelims exam consists of three sections: English Language, Quantitative Aptitude, and Reasoning Ability. Each section has a specific number of questions and a time limit. The exam is conducted online and is objective in nature.
 3. How can I prepare for the IBPS PO Prelims exam?
Ans. To prepare for the IBPS PO Prelims exam, you can follow these steps: - Understand the exam pattern and syllabus. - Create a study plan and schedule. - Study and practice each section thoroughly. - Solve previous year question papers and mock tests. - Stay updated with current affairs and banking awareness. - Analyze your performance and work on weak areas.
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Ans. The eligibility criteria for the IBPS PO Prelims exam are as follows: - Nationality: Must be a citizen of India or a subject of Nepal/Bhutan. - Age: Must be between 20 to 30 years. - Educational Qualification: Must have a degree (graduation) in any discipline from a recognized university.
 5. What is the selection process for the IBPS PO exam?
Ans. The selection process for the IBPS PO exam consists of three stages: - Preliminary Exam: It is the first stage and acts as a screening test. - Main Exam: Candidates who qualify the Prelims are eligible for the Main exam, which is the second stage. - Interview: Candidates who clear the Main exam are called for the interview, which is the final stage of the selection process.

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,

,

,

,

,

,

,

,

,

,

,

,

;