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IBPS PROBATIONARY OFFICERS
QUANTITATIVE APTITUDE
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Directions (Q. 1 - 5): In each of the following number series questions a number
is wrong. You have to identify that number.
1.
2.
3.
3
4
9
32
156
1) 32
2) 156
4) 9
5) 4
4
6
9
13.5
20.25
4) 6
5) 20.25
12
13
30
99
5.
2085
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208
214
232
262
2) 232
4) 208
5) 302
156
170
192
3) 99
5) 13
1) 358
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3) 9
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410
2) 30
4) 2085
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30.125
2) 30.125
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3) 924
1) 13.5
1) 410
4.
924
226
1) 280
2) 156
4) 226
5) 170
302
358
3) 262
280
364
3) 364
Directions (Q. 6 - 10): Study the table carefully to answer the questions that
follow:
Candidates who appeared and passed in the test from four
schools in six different years.
Year
A
B
C
D
Appeared Passed Appeared Passed Appeared Passed Appeared Passed
2004
124
78
445
354
454
343
546
345
2005
234
124
545
435
732
567
565
456
2006
456
235
664
454
693
456
235
112
2007
398
156
345
144
645
545
546
234
2008
546
346
584
354
354
258
656
564
2009
547
435
704
347
578
313
456
252
R-13-10-14
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6.
7.
8.
What was the total number of failed candidates from school-D in the year 2006
and the number of candidates who appeared in the exam from School-B in the
year 2008?
1) 705
2) 725
4) 707
5) None of these
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a
In which year was the difference between the number of candidates who
appeared and passed in the exam from School-B second lowest?
1) 2004
2) 2005
4) 2007
5) 2008
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3) 2006
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What was the respective ratio between the number of candidates who passed
from school-C in the year 2006 and the number of candidates who appeared in
the exam from school-B in the year 2008?
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1) 11 : 8
4) 9 : 11
9.
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3) 726
2) 13 : 6
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3) 15 : 19
5) None of these
Number of candidates who passed in the exam from school-B in the year 2005
was approximately what percent of number of candidates who appeared from
school-A in the year 2008?
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1) 74%
2) 82%
4) 86%
5) 90%
3) 80%
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10. What is the percent decrease in the number of candidates who failed in the exam
from school-A in the year 2009 as compared to the previous year?
1) 44%
2) 64%
4) 22%
5) 38%
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3) 88%
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Directions (Q. 11 - 13): Each of the following questions below consists of a
question and three statements denoted A, B and C. You have to study the
questions and the statements and decide whether the question can be answered
with any one or two or all of the statements together.
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11. Find the volume of a cone?
A) Lateral surface area of the cone is 550 sq.cm.
B) Area of a square, whose side is equal to the radius of the base of the cone is
49 sq.cm.
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C) Height of the cone is 24 cm.
1) B & C
2) A & B
4) 1 or 2
5) All the three
3) Any two
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12. Find the percentage profit earned on selling the article.
A) Marked price of the article is Rs.520.
B) 20% discount is offered on the article.
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C) The cost price of the article is Rs.320.
1) B and C
2) A and C
4) Any two
5) All the three
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3) A and B
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13. For how long B's capital was there in the business?
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A) A, one of two partners contributes  of the capital for 12 months.
3
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B) B receives  of the total profit.
7
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2
C) A's profit was  of the total profit.
7
1) Only A and C
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2) Only B and C
4) 1 or 3
3) A and B only
5) None
14. Production of a company in 2012 was 468 tonnes. If it increases by 15% in the
first year and decreases by 8% in the second year, find the production of the
company after two years?
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1) 500.76
2) 493.875
4) 495.144
5) None of these
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3) 487.468
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15. The mean temperature of Monday to Wednesday was 39°C and of Tuesday to
4 th
Thursday was 36°C. If the temperature on Thursday was  that of Monday,
5
then what was the temperature on Thursday?
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1) 45°C
2) 36°C
3) 36.5°C
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4) 54°C
5) None of these
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Directions (Q.16 - 20): Study the information carefully to answer the following
questions.
A school consists of 2500 students. The ratio of boys to girls is 3 : 2
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respectively. All the students are involved in five different games viz. Hockey,
Boxing, Tennis, Football and Volleyball. 28 percent of girls are in Hockey. 16 percent
of the boys are in Tennis. One- fifth of the boys are in Volleyball. The ratio of girls to
boys in Tennis is 2 : 3 respectively. 25 percent of the total number of students is in
Boxing. Girls in Volleyball are 60 percent of the boys are in the same game. 22
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percent of the girls are in Football. The remaining girls are in Boxing. 18 percent of
the boys are in Hockey and the remaining in Football.
16. Number of boys in Tennis is what percent of the number of girls in the same
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game?
1) 90%
2) 150%
4) 87.25%
5) None of these
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3) 66.67%
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17. How many girls are there in Boxing?
1) 180
2) 220
3) 160
4) 200
5) None of these
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18. Number of boys in Football forms what percent of total number of the students
in the school?
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1) 10.8
2) 9
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4)16
3) 12
5) 18.6
19. What is the total number of girls in Hockey and Volleyball together?
1) 380
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4) 460
2) 340
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3) 400
5) None of these
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20. The number of boys in Volleyball is how much percent more than the boys in
Tennis?
1) 25%
2) 40%
4) 50%
5) None of these
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3) 30%
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KEY
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1-2; 2-2; 3-1; 4-5; 5-3; 6-4; 7-2; 8-5; 9-3; 10-1; 11-4; 12-5; 13-4; 14-4; 15-2; 16-2;
17-3; 18-2; 19-4; 20-1.
1.
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EXPLANATIONS
3×2−2=4
4×3−3=9
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9 × 4 − 4 = 32
32 × 5 − 5 = 155
155 × 6 − 6 = 924
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2. 4 × 1.5 = 6
6 × 1.5 = 9
9 × 1.5 = 13.5
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13.5 × 1.5 = 20.25
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20.25 × 1.5 = 30.375
3.
12 × 1 + 1 = 13
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b
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13 × 2 + 4 = 30
30 × 3 + 9 = 99
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99 × 4 + 16 = 412
412 × 5 + 25 = 2085
4.
p
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208 + 6 = 214
214 + 18 = 232
a
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232 + 30 = 262
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262 + 42 = 304
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304 + 54 = 358
5.
156 + 14 = 170
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170 + 14 + 8 = 192
192 + 22 + 12 = 226
b
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226 + 34 + 20 = 280
280 + 54 + 32 = 366
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6.
Required answer = (235 − 112) + 584 = 707
7.
Failed candidates in School - B
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2004 ⇒ 445 − 354 = 91
2005 ⇒ 545 − 435 = 110
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2006 ⇒ 664 − 454 = 210
2007 ⇒ 345 − 144 = 201
2008 ⇒ 584 − 354 = 230
2009 ⇒ 704 − 347 = 357
8.
9.
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Required ratio = 456 : 584 = 57 : 73
435
Required percentage =  × 100 ≈ 80%
546
10. Failed in 2009 = 547 − 435 = 112
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Failed in 2008 = 546 − 346 = 200
200 − 112
Percent decrease =  × 100
200
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=  × 100 = 44%
200
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11. Volume of cone =  π × r2 × h
3
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From statement A,
Lateral surface area = πrl = 550
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From B,
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we get radius of cone
From statements A & B we get radius and
height
(... h2 = l2 − r2)
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∴ A and B are sufficient
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From B and C we get radius and height
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∴ B and C also sufficient
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100 + P%
12. M.P =  × C.P
100 − D%
100 + P%
520 =  × 320 ⇒ P% = 30%
80
All the three statements are required
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13. By taking A & B or A & C
1
2
2
5
 × 12 :  × x =  : 
3
3
7
7
.
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a
14. 115% of 92% of 468
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115
92
 ×  × 468 = 495.144
100
100
15. Let the temperature of Monday be 'x'
4x
Temperature of Thursday = 
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Temperatures of Monday + Tuesday + Wednesday = 3 × 39 = 117°
Temperatures of Tuesday + Wednesday + Thursday = 3 × 36 = 108°
Difference between Monday and Thursday is 117 − 108 = 9°
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4x
∴ x −  = 9 ⇒ x = 45
5
4 × 45
∴ Thursday's temperature =  = 36°
5
(Q.16 - 20):
Girls Boys Total
Hockey
280
270
550
Boxing
160
465
625
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160
240
400
220
225
445
Volleyball 180
300
480
Total
1000 1500 2500
225
18. Required Percent =  × 100 = 9%
2500
Tennis
bh
Football
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300 − 240
20. Required Percent =  × 100%
240
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Games
240
16. Required Percent =  × 100 = 150%
160
19. Reqd. number of girls = 280 + 180 = 460
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up
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60
=  × 100 = 25%
240
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Writer: Dr. G.S. Giridhar
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