IBPS Bank PO Clerical and
Specialists Officers Previous Years Quantitative Aptitude Questions with Answers and Detailed Explanations
Directions
(Q. Nos.1 to 5)
What
will come in place of Question Mark (?) in the following Questions ?
1. 348 ÷ 29 x 15 + 156 = (?)3 + 120
(1) 12
(2)
6 (Ans)
(3) 36
(4) 9
(5) None of these
Explanation:
348 ÷ 29 x 15 + 156 = (?)3 + 120
⇒
12 x 15 + 156 = (?)3 + 120
⇒ 180 +
156 - 120 = (?)3
⇒
216 = (?)3
⇒
(6)3 = (?)3
∴
? = 6
2. (4 x 4)3 ÷ (512 ÷ 8)4 x
(32 x 8)4 = (2 x 2)? + 4
(1) 8
(2) 12
(3)
6 (Ans)
(4) 14
(5) None of these
Explanation:
(4 x 4)3 ÷
(512 ÷ 8)4 x (32 x 8)4 = (2 x 2)? + 4
⇒
(16)3 ÷ (64)4 x (256)4 = (4)? + 4
⇒ (4)2x3 ÷ (4)3x4
x (4)4x4 = (4)? + 4
⇒
(4)6 ÷ (4)12 x
(4)16 = (4)? + 4
⇒
(4)6-2+16 = (4)? + 4
⇒
(4)10 =
(4)? + 4
⇒
10 = ? + 4
∴
? = 6
3. (2√392 - 21) + (√8 - 7)2 = (?)2
(1) 4
(2) -4
(3) 12
(4) 2
(5)
6 (Ans)
Explanation:
(2√392 - 21) + (√8 -
7)2 = (?)2
⇒
(2 x 14√2 - 21) + (√8 - 7)2 = (?)2
⇒ 28√2 - 21 +
(√8)2 - 2 x √8 x 7 + (7)2 = (?)2
⇒
28√2 - 21 + 8 - 28√2 + 49 = (?)2
⇒
- 21 + 8 + 49 = (?)2
⇒
36 = (?)2
∴ ? = 6
4. 1 1/4 + 1 1/6 - 1 1/8 = ? + 1 1/12
(1) 5/24 (Ans)
(2) 7/24
(3) 5/12
(4) 7/12
(5) None of these
Explanation:
1 1/4 + 1 1/6 - 1 1/8 = ? + 1 1/12
⇒
1 1/4 + 1 1/6 - 1 1/8 - 1 1/12 =
?
⇒ (1 + 1 - 1 -
1) + (1/4 + 1/6 - 1/8 - 1/12) = ?
⇒ 0 + (6 + 4 -
3 - 2/24) = ? ⇒ 0 + 5/24 = ?
∴
? = 5/24
5. 76% of 1285 = 35% of 1256 + ?
(1) 543
(2)
537 (Ans)
(3) 547
(4) 533
(5) None of these
Explanation:
76% of 1285 = 35% of 1256 + ?
⇒
976.6 = 439.6 + ?
⇒
976.6 - 439.6 = ?
∴
? = 537
Directions (Q. Nos. 6 to 10)
What approximate value will come in place of Question Mark
(?) in the following Questions?
(You are not expected to calculate the exact value) You can take
approximate value of any number
6. 499.99 + 1999 ÷ 39.99 x 50.01 = ?
(1) 3200
(2) 2700
(3) 3000 (Ans)
(4) 2500
(5) 2400
Explanation:
499.99 + 1999
÷ 39.99 x 50.01 = ?
500 + 2000 ÷
40 x 50 = ?
500 + 50 x 50 = ?
500 + 2500 = ?
3000 = ?
7. [(7.99)2 - (13.001)2 +
'(4.01)3]2 = ?
(1) -1800
(2) 1450
(3) -1660
(4) 1660 (Ans)
(5) -1450
Explanation:
[(7.99)2 - (13.001)2 +
'(4.01)3]2 = ?
⇒
[(8)2 - (13)2 + (4)3]2 = ?
⇒
[64 - 169 + 64]2 = ?
⇒
(-41)2 = ?
∴
? = 1681 (∵- x - ⇒ +)
≈ 1660
8. 601/49 x 399/81 ÷ 29/201 = ?
(1) 520
(2) 360
(3) 460
(4) 500
(5) 420 (Ans)
Explanation:
601/49 x
399/81 ÷ 29/201 = ?
⇒
601/49 x 399/81 x 201/29 = ?
⇒
600/50 x 400/80 x 200/30 = ?
∴
400 = ?
420 ≈ ?
9. 441.01 - 232.99 + 1649.99 = ? + 1225.92
(1) 600
(2) 630 (Ans)
(3) 660
(4) 690
(5) 720
Explanation:
441.01 -
232.99 + 1649.99 = ? + 1225.92
⇒
441 - 233 + 1650 - 1226 = ?
⇒
2091 - 1459 = ?
∴
? = 623 ≈ 630
10. (21.5% of 999)1/3 + (43% of 601)1/2
= ?
(1) 18
(2) 22 (Ans)
(3) 26
(4) 30
(5) 33
Explanation:
(21.5% of 999)1/3 + (43% of 601)1/2
= ?
(1000 X 21.5%)1/3 + (600 X 43%)1/2 = ?
(215)1/3 + (258)1/2 = ?
(216)1/3 + (256)1/2 = ?
(6)3X1/3 + (16)2X1/2 = ?
6 + 16 = ?
22 = ?
Directions (Q. Nos. 11 to 15)
What will come in place of Question Mark (?) in the following
number series?
11. 15 21
39 77 143 (?)
(1) 243
(2) 240
(3) 253
(4) 245
(5) None of these (Ans)
12. 33 39 57 87 129
(?)8
(1) 183 (Ans)
(2) 177
(3) 189
(4) 19
Explanation:
Explanation:
13. 15 19 83 119 631 (?)
(1) 731 (Ans)
(2) 693
(3) 712
(4) 683
(5) None of
these
Explanation:
14. 19 26 40 68 124 (?)
(1) 246
(2) 238
(3) 236 (Ans)
(4) 256
(5) None of
these
(1) 62
(2) 98
(3) 109
(4) 63
(5) None of these (Ans)
Explanation:
Directions (Q. Nos. 16 to 20)
In the following questions, two equations numbered I and II are
given. You have to solve both the equations and give answer
(1) if x > y
(2) if x ≥ y
(3) if x < y
(4) if x ≤ y
(5) if x = y or the relationship cannot be
established
16. I.
x2 - 11x + 24 = 0
II. 2y2 - 9y + 9 = 0
Ans : 2 (x ≥ y)
Explanation:
I. x2
- 11x + 24 = 0
x2 - 8x - 3x + 24 = 0
x (x - 8) - 3 (x - 8) = 0
(x - 8)(x - 3) = 0
∴
x = 8 or 3
II.
2y2 - 9y + 9 = 0
2y2 - 6y - 3y + 9 = 0
2y(y -
3) - 3 (y - 3) = 0
(2y - 3) (y - 3) = 0
∴
y = 3/2 or 3
So, x ≥ y
17. I.
x3 * 13 = x2 * 247
II. y1/3 * 14 = 294 ÷ y2/3
Ans : 3 (y
> x)
Explanation:
I. x3
* 13 = x2 * 247
or x3
/ x2 = 247/13
x = 19
II.
y1/3 * 14 = 294 ÷ y2/3
or,
(y)1/3 * (y)2/3 = 294/14
or,
(y)1/3+2/3 = 21
∴
y = 21
So, y > x
18. I.
12 * 4 / x4/7 - 3 * 4 / x4/7 = x10/7
II. y3 + 783 = 999
Ans : 4 (y ≥ x)
Explanation:
I. 12 *
4 / x4/7 - 3 * 4 / x4/7 = x10/7
or,
48 - 12 = (x)10/7 * (x)4/7
or,
36 = (x)7 = (x)2
∴
x = ±6
II.
y3 + 783 = 999
y3 = 999 - 783
y3 = 216
∴
y = ±6
∴
y ≥ x
19. I.
√500 x + √402 = 0
II. √360 y + (200)1/2 = 0
Ans : 5 (relationship cannot established)
Explanation:
I. √500 x +
√402 = 0
or,
√500 x = - √402
By squaring
both sides, we get
500 x2 = 402
x = √402 /500 = ± 0.897
II. √360
y + (200)1/2 = 0
or,
(200)1/2 = - √360 y
By squaring
both sides, we get
200 = 360 y2
y = √200/360 = ± 0.75
relationship
cannot established.
20. I.
(17)2 + 114 ÷ 18 = x
II. (26)2 - 18 * 21 = y
Ans : 3 (y > x)
Explanation:
I. (17)2
+ 114 ÷ 18 = x
289 + 8 = x
∴
x = 297
II. (26)2 - 18 * 21 = y
676 - 378 = y
∴
298 = y
So,
y > x
21.The respective ratio between the present age of
Ram and Rakesh is 6 : 11. Four years ago, the ratio of their ages was 1 :
2 respectively. What will be Rakesh's age after five years ?
(1) 45
years
(2) 29 years
(3) 49 years
(Ans)
(4) Cannot be
determined
(5) None of
these
Explanation:
Let the age of Ram = x and
Rakesh = y then x/y = 6/11
∴ x = 6y/11
According to
question, x - 4/y - 4 = 1/2
2x - 8 = y - 4
2 * 6y/11 - 8 = y - 4
12y/11 - y = - 4 + 8
y/11 = 4
∴
y = 44 yr
∴ Age of
Rakesh after 5 yr
= 44 + 5 = 49 yr
22. The circumference of two circles is 83 m and
220 m respectively. What is the difference between the area of the larger
circle and the smaller circle?
(1) 3422
sq m
(2) 3242 sq m
(3) 3244 sp m
(4) 3424 sq m
(5) None of these (Ans)
Explanation:
2 π r = 88
∴
r = 88 * 7/44 = 14 m
∴ Area =
Ï€ r2
= 22/7 * 14 * 14
= 616 m2
2Ï€ r1 = 220
r1 = 220 * 7/2 * 22 = 35 m
∴ Area =
Ï€ r12
= 22/7 * 35 * 35 = 3850 m2
Difference = 3850 -
616 = 3234 m2
23. One of the angles of a triangle is two-third
angle of sum of adjacent angles of parallelogram. Remaining angles of the
triangle are in ratio 5 : 7 respectively. What is the value of second largest
angle of the triangle ?
(1) 250
(2) 400
(3) 350 (Ans)
(4) Cannot be
determined
(5) None of
these
Explanation:
An angle of a triangle = 2/3 *
1800 = 1200
Remaining 1800 - 1200
= 600 is the ratio of 5 : 7.
So,
5x + 7x = 60
12x = 60
x = 5
So, angles are 5 * 5 = 250
and 7 * 5 = 350
and
1200
So, value of second largest
angle of triangle is 350 .
24. Pradeep invested 20% more than Mohit. Mohit
invested 10% less than Raghu. If the total sum of their investment is Rs.
17880, how much amount did Raghu invest
??
(1) Rs.6000(Ans)
(2) Rs.8000
(3) Rs.7000
(4) Rs.5000
(5) None of
these
Explanation:
Let the investment by Raghu = x
then Mohit = x * 90/100 = 9x/10
Pradeep = 9x/10 * 120/100 =
108x/100
According to question, x +
9x/10 + 108x/100 = 17880
100x + 90x + 108x/100 = 17880
298x/100 = 17880
x = 6000
25. Average score of Rahul, Manish and Suresh is
63. Rahul's score is 15 less than Ajay and 10 more than the average scores of
Rahul, Manish and Suresh, what is he sum of Manish's and Suresh's scores ?
(1) 120
(2) 111 (Ans)
(3) 117
(4) Cannot be
determined
(5) None of
these
Explanation:
Let the score of Ajay = x
Rahul
= x - 15
Manish = x -
25
According to question, x = 63 +
30
∴
x = 93
∴ Score of
Ajay = 93
then
Rahul
= 93 - 15 =78
then
Manish
= 93 - 25 = 68
Total marks of Rahul, Manish
and Suresh = 3 * 63 = 189
∴ Suresh
= 189 - (78 + 68) = 43
∴ Manish
+ Suresh = 68 + 43 = 111
26. Fifty-three per cent of a number is 358 less
than the square of 26. What is the value of three-fourth of 23 per cent of that
number?
(1) 101
(2) 109.5
(3) 113
(4) 103.5 (Ans)
(5) None of
these
Explanation:
(26)2 - 358 = x * 53/100
318 = x * 53/100
∴
x = 600
Again 600 * 3/4 * 23/100 = 103.5
27. The average speed of a car is 1 4/5 times the
average speed of a bus. A tractor covers 575 km in 23 hours. How much distance
will the car cover in 4 hours if the speed of the bus is twice speed of
the tractor?
(1) 340
km
(2) 480 km
(3) 360 km (Ans)
(4) 450 km
(5) None of
these
Explanation:
Average speed of a tractor
=575/23 = 25 km/h
The speed of a bus in an hour =
25 * 2 = 50 km
The speed of a car in an hour =
50 * 9/5 = 90 km
So, the distance covered by car
in 4 h is
90 * 4 = 360 km
28. The simple interest accrued on a sum of
certain principal is Rs.2000 in five years at the rate of 4% per annum. What
would be the compound interest accrued on same principal at same rate in two
years?
(1) Rs.716
(2) Rs.724
(3) Rs.824
(4) Rs.816
(Ans)
(5) None of
these
Explanation:
2000 = P * 4 * 5/100
∴ P =
10000
Now,
CI = 10000[(1 + 4/100)2 - 1]
= 10000 * 0.0816
= 816
29. Rehaan purchased a bike for Rs.54000. He sold it at a loss of 8 per cent. With that money he again purchased another bike and sold it at a profit of 10 per cent. What is his overall loss/profit?
(1) Loss
of Rs.657
(2) Profit of
Rs.567
(3) Loss of
Rs.648
(4) Profit of Rs.648 (Ans)
(5) None of
these
Explanation:
Cost price = 54000
Selling price = 54000 *
(100-8)/100 = 49680
Now, the cost price of another
bike = 49680
Selling price of another bike =
49680 * 110/100 = 54648
Overall profit = 54648 - 54000
= 648
30. Two men alone or three women alone can
complete a piece of work in 4 days. In how many days can one woman and one man
together complete the same piece of work?
(1) 6
days
(2) 24/5 days (Ans)
(3) 12/1.75
days
(4) Cannot be
determined
(5) None of
these
Explanation:
2M = 3W
∴ 1M = 3/2 W
∴ 1M + 1W = 3/2 W + 1W = 5/2 W
Number of days = 3 * 4/5/2 =
24/5 days
Directions
(Q. Nos. 31 to 35)
Study the table
carefully to answer the questions that follow
Number of
employees working in four different companies in five different years
Year
|
Company
|
|||||||
A
|
B
|
C
|
D
|
|||||
Male
|
Female
|
Male
|
Female
|
Male
|
Female
|
Male
|
Female
|
|
2004
2005 2006 2007 2008 |
200
250 400 650 750 |
400
150 250 400 300 |
250
400 850 500 600 |
450
100 400 150 350 |
350
550 350 650 400 |
600
350 500 500 300 |
400
550 650 700 650 |
450
600 450 600 400 |
31. What was the total number of males working in
Company-A in the year 2007, males working in Company-B in the year 2005 and
females working in Company-D in the year 2006 together ?
(1) 1550
(2) 1600
(3) 1450
(4) 1400
(5) None of these (Ans)
Explanation:
Required number
= 650 + 400 + 450 = 1500
32. What was the average number of female
employees working in all the companies together in the year 2004?
(1) 475 (Ans)
(2) 385
(3) 450
(4) 300
(5) None of
these
Explanation:
Average = 400 + 450 + 600 +
450/4
= 1900/4 = 475
33. Total number of male employees working in
Company-C over all the years together was approximately what percentage of
total number of employees working in the year 2007 in all the companies
together?
(1) 41
(2) 46
(3) 51
(4) 55 (Ans)
(5) 59
Explanation:
Total number of male employees
working in company. C over all the years together
= 350 + 550 + 350 + 650 + 400 =
2300
Total number of employees
working in the companies in the year 2007 together
= 650 + 400+ 500 + 150 + 650 +
500 + 700 + 600 = 4150
Required percentage = 2300/4150
* 100
≈ 55%
34. If 20 per cent of male and 30 per cent of
female employees in Company-B in the year 2004 were handicapped, then what was
the total number of handicapped candidates in that company in that year?
(1) 185 (Ans)
(2) 170
(3) 190
(4) 195
(5) None of
these
Explanation:
Handicapped employees in
company. B in the year 2004
= 250 * 20/100 + 450 * 30/100
= 50 + 135 = 185
35. What was the respective ratio between the number of males in Company-D in the year 2005, number of females in Company-A in the year 2006 and the number of males in Company-B in the year 2005?
(1) 11 : 5 : 8 (Ans)
(2) 11 : 6 : 8
(3) 12 : 5 : 9
(4) 12 : 5 : 7
(5) 11 : 5 : 9
Explanation:
Ratio = 550 : 250 : 400
= 11 : 5 :
8
(Dividing by 50 to all)
Directions
(Q. Nos. 36 to 40)
Study the
following graph carefully to answer the questions that follow:
Number of students (in hundreds) from two different schools who
qualified in an exam in six different years.png)
36. What was the approximate per cent increase in the number of students who qualified in the exam from School-Q in the year 2007 as compared to the precious year ?
(1) 30
(2) 36
(3) 45 (Ans)
(4) 49
(5) 26
Explanation:
Number of students in school Q
in 2007
= 8000
and in year 2006 = 5500
Increase = 8000 - 5500 = 2500
% increase = 2500/5500 * 100 ≈ 45%
37. What was he respective ratio between the
number of students who qualified in the exam from School- P in the year 2005
and the number of students who qualified in the exam from School-Q in the year
2008?
(1) 13 :
18
(2) 17 : 18 (Ans)
(3) 17 : 19
(4) 13 : 19
(5) None of
these
Explanation:
Ratio = Student
qualified from School P in 2005
Student qualified from School Q in 2008
Student qualified from School Q in 2008
= 85/90 = 17 : 18
38. What was the difference between the total
number of students who qualified in the exam in the year 2005 from both the
schools together and the total number of students from School-Q who qualified
in the exam over all the years together?
(1) 30000 (Ans)
(2) 30500
(3) 29000
(4) 29500
(5) None of
these
Explanation:
Students qualified in 2005 from
both the schools together
= (85 + 60) * 100 = 145 * 100 =
14500
Total number of students
qualified from school over all the years together
= (60 + 55 + 80 + 90 + 75 + 85)
* 100
= 445 * 100 = 44500
Difference = 44500 - 14500 =
30000
39. Total number of students who qualified in the
exam from School-P over all the years together was approximately what
percentage of total number of students who qualified in the exam from both the
students who qualified in the exam from both the schools together in the year
2006 and 2007 together ?
(1) 143
(2) 159
(3) 155
(4) 165
(5) 147 (Ans)
Explanation:
= (85 + 80 + 95 + 65 + 40 + 90)
* 100
= 455 * 100 = 45500
Total number of students, who
qualified in the exam from both the schools together in the 2006 and 2007 years
together
= (80 + 55 + 95 + 80 +) * 100
= 310 * 100 = 31000
Required percentage =
45500/31000 * 100 ≈ 147%
40. If 40 per cent of the total students who
qualified in the exam from both the schools together over all the years are
females, then what was the total number of males who qualified in the exams
over all the years from both the schools together?
(1) 51000
(2) 54000 (Ans)
(3) 56000
(4) 52000
(5) None of
these
Explanation:
Total number of students, who
qualified in the exam over all the years from both the schools together
= (85 + 60 + 80 + 55 + 95 + 80
+ 65 + 90 + 40 + 75 + 90 + 85) * 100
= 900 * 100 = 90000
∴ Required number of males
= 90000 *
60/100
=
54000 [Since females are 40%]
Directions (Q. Nos. 41 to 45)
Study
the following pie-chart carefully to answer the questions that follow:
41. What was the approximate average number of passengers in Train-S, Train-M and Train-L together?
(1) 1521
(2) 1641
(3) 1651
(4) 1671 (Ans)
(5) 1691
Explanation:
Average number = 8500 * (24
+ 20 + 15) ≈ 1671
100
3
100
3
42. If in Train-R 34 per cent of the passengers
are females and 26 per cent are children, what is the number of males in that
train?
(1) 306 (Ans)
(2) 316
(3) 308
(4) 318
(5) None of
these
Explanation:
Number of passengers in train R
= 8500 * 9/100 = 765
Number of males = 765 * (100-34-26)
= 306
100
100
43. Number of passengers in the Train-Q is
approximately what percentage of the total number of passengers in Train-A and
Train-R?
(1) 90
(2) 70
(3) 75
(4) 80
(5) 86 (Ans)
Explanation:
Number of passengers in train Q
= 8500 * 19/100 = 1615
Total number of passengers in
train A and train R
= 8500 * 13 + 9 /100 = 1870
∴ Required percentage = 1615/1870 * 100
≈ 86%
44. Which train has second highest number of
passengers?
(1) A
(2) Q
(3) S
(4) M (Ans)
(5) L
Explanation:
Train M (because having second
highest percentage ).
45. How much more per cent (approximately) number
of passengers are there in Train-M as compared to the number of passengers in
Train-L?
(1) 29
(2) 49
(3) 43
(4) 33 (Ans)
(5) 39
Explanation:
Number of passengers in train M
= 8500 * 20/100 = 1700
Number of passengers in train L
= 8500 * 15/100 = 1275
Required
percentage = 1700 - 1275 * 100 ≈ 33%
1275
1275
Directions (Q. Nos. 46 to 50)
Study the following table carefully to answer the questions that
follow:
Monthly rent (in
Rs. thousands) at five different places in six different years
Year
|
Place
|
||||
Church-gate
|
Dadar
|
Kandivali
|
Borivali
|
Virar
|
|
2005
2006
2007
2008
2009
2010
|
5.3
12.5
16.7
20.9
25.8
30.3
|
3.8
8.3
11.7
13.6
14.5
20.9
|
1.5
3.4
5.5
9.8
11.5
15.6
|
2.7
4.8
6.6
12.7
14.1
15.9
|
1.1
2.1
1.8
3.6
5.5
7.8
|
46. In which place, the monthly rent did not
increase consistently from year 2005 to 2010 ?
(1) Churchgate
(2) Dadar
(3) Kandivali
(4) Borivali
(5) Virar (Ans)
47. In which year at Churchgate, the monthly rent
increased more than 100% from the previous year?
(1) 2006 (Ans)
(2) 2007
(3) 2008
(4) 2009
(5) 2010
Explanation:
2006 [12.5 - 5.3/5.3 * 100 =
135.85%]
48. What was the difference between the monthly
rent at Dadar in the year 2009 and Borivali in the year 2007?
(1) Rs.
7600
(2) Rs. 7900 (Ans)
(3) Rs. 8100
(4) Rs. 8600
(5) None of
these
Explanation:
Required difference = (14.5 -
6.6) 1000 = 7900
49. Monthly rent at Kandivali in the year 2008 was
approximately what per cent of the total montly rent at Virar over all the
years together?
(1) 30
(2) 33
(3) 38
(4) 42
(5) 45 (Ans)
Explanation:
Required
percentage
=
9.8 *
100
≈ 45%
1.1 + 2.1 + 1.8 + 3.6 + 5.5+ 7.8
1.1 + 2.1 + 1.8 + 3.6 + 5.5+ 7.8
50. Which city was most expensive in terms of
rent?
(1) Churchgate (Ans)
(2) Dadar
(3) Kandivali
(4) Borivali
(5)
Virar
Explanation:
Because of highest average
among all.
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