Tuesday, July 12, 2011

Solved Papers – CORPORATION BANK PROBATIONARY OFFICERS EXAM., 2010 (Held on 9-5-2010) Quantitative Aptitude -july 2011

Solved Papers – CORPORATION BANK PROBATIONARY OFFICERS EXAM., 2010 (Held on 9-5-2010) Quantitative Aptitude
Directions–(Q. 1–5) What should come in place of the question mark (?) in the following questions ?

1. 7960 + 2956 – 8050 + 4028 = ?

(A) 6984 (B) 6884

(C) 6894 (D) 6954

(E) None of these

2. 25 ¥ 3·25 + 50·4 ÷ 24 = ?

(A) 84·50 (B) 83·35

(C) 83·53 (D) 82·45

(E) None of these

3. 350% of ? ÷ 50 + 248 = 591

(A) 4900 (B) 4890

(C) 4850 (D) 4950

(E) None of these

4. of 3842 + 15% of ? = 2449

(A) 3520 (B) 3250

(C) 3350 (D) 3540

(E) None of these

5. (833·25 – 384·45) ÷ 24 = ?

(A) 1·87 (B) 20·1

(C) 2·01 (D) 18·7

(E) None of these

Directions—(Q. 6–10) What should come in place of the question mark (?) in the following number series ?

06. 325, 314, 288, 247, 191, ?

(A) 126 (B) 116

(C) 130 (D) 120

(E) None of these

07. 45, 46, 70, 141, ?, 1061·5

(A) 353 (B) 353·5

(C) 352·5 (D) 352

(E) None of these

08. 620, 632, 608, 644, 596, ?

(A) 536 (B) 556

(C) 656 (D) 646

(E) None of these

09. 15, 25, 40, 65, ?, 195

(A) 115 (B) 90

(C) 105 (D) 120

(E) None of these

10. 120, 320, ?, 2070, 5195, 13007·5

(A) 800 (B) 920

(C) 850 (D) 900

(E) None of these

11. Sonika invested an amount of Rs. 5,800 for 2 years. At what rate of compound interest will she get an amount of Rs. 594·5 at the end of two years ?

(A) 5 p.c.p.a. (B) 4 p.c.p.a.

(C) 6 p.c.p.a. (D) 8 p.c.p.a.

(E) None of these

12. If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350% the resultant fraction is , what is the original fraction ?

(A) (B)

(C) (D)

(E) None of these

Directions—(Q. 16–20) Study the following table carefully and answer the questions given below it :
Number of Entertainment shows held in Various
Cities in a Year

(Number in Hundreds)
Shows
Cities Dance Music Drama Stand up Comedy Mimicry
M 15 21 24 0·8 0·9
N 12·4 13 26 2 0·5
O 5·7 8 12 0·3 0·2
P 11·3 6 18 1 1·5
Q 17 12·4 11 3 0·4
R 14 10·5 9·8 0·7 0·1

16. The mimicry shows held in city M are what per cent of the drama shows held in city O ?

(A) 7 (B) 8·5

(C) 6·5 (D) 8

(E) None of these

17. What is the average number of entertainment shows held in city P ?

(A) 756 (B) 678

(C) 786 (D) 698

(E) None of these

13. In how many different ways can the letters of the word ‘banking’ be arranged ?

(A) 5040 (B) 2540

(C) 5080 (D) 2520

(E) None of these

14. Meenal purchased a car for Rs. 2,50,000 and sold it for Rs. 3,48,000. What is the per cent profit she made on the car ?

(A) 40 (B) 39·2

(C) 38·4 (D) 38

(E) None of these

15. There are some parrots and some tigers in a forest. If the total number of animal heads in the forest are 858 and total number of animal legs are 1,746, what is the number of parrots in the forest ?

(A) 845

(B) 833

(C) 800

(D) Cannot be determined

(E) None of these

18. If the number of music shows in city N and Q is increased by 5%, what will be the total number of music shows in both the cities together ?

(A) 2,602

(B) 2,667

(C) 2,540

(D) 2,605

(E) None of these

19. What is the respective ratio of the number of dance shows held in city N to the number of drama shows held in city R ?

(A) 49 : 62 (B) 49 : 51

(C) 62 : 45 (D) 62 : 49

(E) None of these

20. What is the total number of stand up comedy shows held in all the cities together ?

(A) 820 (B) 740

(C) 780 (D) 810

(E) None of these

21. By how much is th of 968 less than th of 1008 ?

(A) 154 (B) 146

(C) 165 (D) 158

(E) None of these

22. There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number ?

(A) 32 (B) 12

(C) 14 (D) 35

(E) None of these

23. When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?

(A) 25 (B) 42

(C) 36 (D) 32

(E) None of these

24. The ratio of the present ages of Anju and Sandhya is 13 : 17 respectively. Four years ago the respective ratio of their ages was 11 : 15. What will be the respec-tive ratio of their ages six years hence ?

(A) 3 : 4 (B) 7 : 8

(C) 5 : 4 (D) 6 : 5

(E) None of these

25. The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?

(A) 15·25

(B) 14

(C) 14·75

(D) Cannot be determined

(E) None of these

Directions—(Q. 26–30) Study the following graph and table carefully and answer the questions given below it :

Percentage of Obese Men, Obese Women and Obese Children in a State in Various years
Total Number of Men, Women and Children in the State Over the Years
Years Men Women Children
2004 54,000 38,000 15,000
2005 75,000 64,000 21,000
2006 63,000 60,000 12,000
2007 66,000 54,000 16,000
2008 70,000 68,000 20,000
2009 78,000 75,000 45,000

26. What was the approximate average of obese men, obese women and obese children in the year 2007 ?

(A) 12,683 (B) 12,795

(C) 12,867 (D) 12,843

(E) 12,787

27. The number of obese men in the year 2009 were what per cent of the men not suffering from obesity in the same year ?

(A) 55 (B) 60

(C) 50·5 (D) 65·5

(E) None of these

28. What was the respective ratio of the obese women in the year 2006 to the obese men in the year 2008 ?

(A) 6 : 7 (B) 21 : 65

(C) 15 : 73 (D) 48 : 77

(E) None of these

29. What is the difference between the number of obese women and obese children together in the year 2006 and the number of obese men in the same year ?

(A) 5,475 (B) 5,745

(C) 5,045 (D) 5,075

(E) None of these

30. What was the total number of children not suffering from obesity in the year 2004 and 2005 together ?

(A) 4,350 (B) 31,560

(C) 4,530 (D) 31,650

(E) None of these

Directions—(Q. 31–35) Study the following information carefully and answer the questions given below it.

Out of the 15,000 candidates eligible for an Officer’s Post in a Public Sector Bank, 450 candidates have prior experience of working in Public Sector Banks in rural areas only. 25% of the total number of candidates have prior experience of working in Public Sector Banks in urban areas only. 12% of the total number of candidates have prior experience of working in Private Sector Banks in urban areas only. 2% of the total number of candidates have prior experience of working in Private Sector Banks in rural areas only. 3,600 candidates have worked in Public Sector Banks in both urban and rural areas. 15% of the total number of candidates have worked in both Public and Private Sector Banks in urban areas only. 600 candidates have worked in both Public and Private Sector Banks in rural areas only. The remaining candidates have no prior experience of working in the Banking industry.

31. How many candidates have prior experience of working in rural areas (both Public Sector and Private Sector Banks together) ?

(A) 4,350 (B) 4,950

(C) 4,800 (D) 4,900

(E) 4,850

32. How many total candidates have prior experience of working in Public Sector Banks (Urban and Rural areas together) ?

(A) 12,450 (B) 8,400

(C) 10,050 (D) 10,650

(E) None of these

33. What is the respective ratio of the candidates who have a prior experience of working in Public Sector banks in rural areas only to the candidates who have a prior experience of working in Private sector banks in rural areas only ?

(A) 4 : 3 (B) 3 : 2

(C) 2 : 3 (D) 3 : 4

(E) None of these

34. What is the total number of can-didates who have worked in Private Sector Banks in urban areas ?

(A) 1,800 (B) 2,250

(C) 4,050 (D) 3,600

(E) None of these

35. The candidates who have no prior experience of working in the banking industry are what per cent of the candidates who have worked in Public Sector banks in both urban and rural areas together ?

(A) 60·5 (B) 63·5

(C) 62 (D) 64

(E) None of these

Directions—(Q. 36–40) Study the following table carefully and answer the questions given below it :
Percentage of Marks Obtained by Various Students in Various Subjects in an Examination
Marks
Students English

(out of 100)
Hindi

(out of 100)
Science

(out of 150)
History

(out of 60)
Maths

(out of 150)
Geography

(out of 40)
A 68 75 82 60 96 55
B 88 73 85 65 88 65
C 75 56 72 75 75 80
D 70 66 80 80 72 62
E 72 60 68 74 68 75
F 85 70 90 70 74 70

36. What is approximate overall per centage obtained by C in the examination ?

(A) 78 (B) 69

(C) 75 (D) 71

(E) 65

37. What is the difference in the marks obtained by B in English and Maths together and the marks obtained by F in the same subjects ?

(A) 24 (B) 17

(C) 15 (D) 28

(E) None of these

38. The marks obtained by E in Geography are what per cent of the marks as it is obtained by E in Hindi ?

(A) 45

(B) 55

(C) 50

(D) 60

(E) None of these

39. What is the overall percentage of marks obtained by D in History and Geography together ?

(A) 73·40

(B) 72·80

(C) 70·50

(D) 68·80

(E) None of these

40. What is the average marks obtained by all the students together in Science ?

(A) 77·16

(B) 120·50

(C) 118

(D) 121

(E) None of these

Directions—(Q. 41–45) Study the following graph carefully and answer the questions given below—

Number of Students Studying in Different Universities in a year

(Number in lakh)

41. What is the average number of females in all the Universities together ?

(A) 33,00,000 (B) 3,50,000

(C) 3,20,000 (D) 32,00,000

(E) None of these

42. What is the total number of students (males and females together) in University P and R together ?

(A) 13,00,000 (B) 13,50,000

(C) 14,00,000 (D) 1,45,00,000

(E) None of these

43. What is the respective ratio of the number of females from university P and Q together to the number of males in the University R and T together ?

(A) 27 : 32 (B) 27 : 28

(C) 25 : 28 (D) 28 : 27

(E) None of these

44. The number of males in Univer-sity Q are what per cent of the total number of students (males and females together) in Univer-sity S ?

(A) 68 (B) 62

(C) 66 (D) 64

(E) None of these

45. If the total number of males in University T increases by 50%, what would be the total number of students (males and females together) in that University ?

(A) 75,26,000

(B) 7,62,50,000

(C) 76,25,000

(D) 7,52,60,000

(E) None of these

Directions—(Q. 46–50) What approximate value should come in place of the question mark (?) in the following questions ?

(You are not expected to calculate
the exact value)

46. 57% of 394 – 2·5% of 996 = ?

(A) 215 (B) 175

(C) 200 (D) 180

(E) 205

47. 96·996 ¥ 9·669 + 0·96 = ?

(A) 860 (B) 870

(C) 1020 (D) 940

(E) 1100

48. ¥ ¥ 7 = ?

(A) 7 (B) 12

(C) 9 (D) 4

(E) 15

49. ∏ 30 = ?

(A) 12 (B) 15

(C) 24 (D) 21

(E) 9

50. (638 + 9709 – 216) ÷ 26 = ?

(A) 275 (B) 365

(C) 420 (D) 300

(E) 390

01. (C) 2. (B) 3. (A) 4. (A) 5. (D)

06. (D)

07. (B)

08. (C)

09. (E)

10. (E)

11. (A) 12. (C)

13. (D) No. of different ways

= = = 2520

14. (B)

15. (E) Let the number of parrots be x

\ No. of tigers = (858 – x)

Q 2x + 4 (858 – x) = 1746

ﬁ 2x = (3432 – 1746)

= 1686

\ x = 843

16. (E) Reqd. % = ¥ 100%

= 7·5%

17. (A) Reqd. average

= ¥ 100

=

= 756

18. (B) Reqd. number

= (1300 + 1240) ¥

= 2667

19. (D) Reqd. ratio = 1240 : 980

= 62 : 49

20. (C) Reqd. number

= 80 + 200 + 30 + 100 + 300 + 70

= 780

21. (E) Reqd. decrease

= –

= 882 – 726

= 156

22. (A) Let the numbers be x and y

Q 2x + 3y = 100

and 3x + 2y = 120

ﬁ 6x + 9y = 300

6x + 4y = 240

– – –

5y = 60

\ y = 12

and x = 32

\ The larger number is 32.

23. (C) Reqd. number of rows

=

= 36

24. (E) Let the present age of Anju and Sandhya be 13x years and 17x years respectively

Q =

ﬁ 195x – 60 = 187x – 44

ﬁ 8x = 16

\ x = 2

\ Reqd. ratio = =

= 4 : 5

25. (A) Let the average age of the remaining boys be x years

Q 15 ¥ 16 + 25 ¥ 14 + 40 ¥ x

= 80 ¥ 15

ﬁ 240 + 350 + 40x = 1200

\ x =

= 15·25 years

26. (C) Reqd. average

=

=

=

= 12867 (App.)

27. (B) Reqd. %

= ¥ 100%

= %

= %

= 60%

28. (D) Reqd. ratio

= :

= 12000 : 19250

= 48 : 77

29. (A) Reqd. difference

=

~

= (12000 + 3000) ~ (20475)

= 5475

30. (D) Reqd. number

=

+

= 12750 + 18900

= 31650

For Q. 31 to 35 :

450 ﬁ Public Sector Rural

3750 ﬁ Public Sector Urban

1800 ﬁ Private Sector Urban

300 ﬁ Private Sector Rural

3600 ﬁ Public Sector (Rural

+ Urban)

2250 ﬁ (Public + Private)

Urban

600 ﬁ (Public + Private)

Rural

2250 ﬁ No. prior experience

31. (B) Reqd. number

= 450 + 300 + 3600 + 600

= 4950

32. (D) Reqd. number

= 3600 + 3750 + 450 + 2250 + 600

= 10650

33. (B) Reqd. ratio = 450 : 300

= 3 : 2

34. (A) Reqd. number = 1800

35. (E) Reqd. % = %

= 62·5%

36. (D) Reqd. %

= ¥ 100%

= %

= 71·4%

= 71% (App.)

37. (A) Reqd. difference

= (88 + 132) ~ (85 + 111)

= 220 ~ 196 = 24

38. (C) Required % = %

= 50%

39. (B)

Reqd. % = ¥ 100%

= 72·8%

40. (E) Average

= ¥ 150

=

= 119·25

41. (A) Reqd. number

= lakh

= lakh

= 3300000

42. (E) Reqd. number

= (30 + 37·5 + 42·5 + 25) lakh

= 135 lakh

= 13500000

43. (B) Reqd. ratio

= (37·5 + 30) : (42·5 + 27·5)

= = = 27 : 28

44. (D)

Reqd.% = ¥ 100%

= % = 64%

45. (C) Reqd. number

= lakh

= (41·25 + 35) lakh

= 7625000

46. (C) 47. (D) 48. (D) 49. (B) 50. (E)