SBI-PO 2007 (Quantitative Aptitude)

Sunday 5 June, 2011

SBI-PO 2007 (Quantitative Aptitude)

76. The difference between a two digit number and the number obtained by interchanging the position of its digits is 36. What is the difference between the two digits of that number ?
(a) 4
(b) 9
(c) 3
(d) Cannot be determined
(e) None of these
Ans. (a) Let the unit's digit be y.
Also let y > x.
∴ Number = 10y + x and number obtained by interchanging the digits = 10x + y
∴ 10y + x - 10x - y = 36
⇒ 9y - 9x = 36
⇒ 9(y - x) = 36
⇒ y - x = 4

77. By how much is two-fifth of 200 greater than three- fifth of 125?
(a) 15
(b) 3
(c) 5
(d) 30
(e) None of these
Ans. (c) Required difference

(

of 200

)

(

of 125

)

= 80 - 75 = 5

78. The area of a rectangular field is 460 square meters. If the length is 15 per cent more than the breadth, what is breadth of the rectangular field ?
(a) 15 meters
(b) 26 meters
(c) 34.5 meters
(d) Cannot be determined
(e) None of these
Ans.(e) Let the breadth of rectangular field be x metes.

∴ Length = x ×

115

100

23x

meters

Now, length × Breadth = Area

⇒

23x

× x = 460

⇒ x2 =

640 × 20

⇒ x2 = 20 × 20
x = √20 × 20 = 20 meters.

79. Deepa bought a calculator with 30% discount on the listed price. Had she not got the discount, she would have paid Rs 82.50 extra. At what price did she buy the calculator ?
(a) Rs. 192.50
(b) Rs.275
(c) Rs. I 17.85
(d) Cannot be determined
(e) None of these
Ans. (a) Let the listed price be Rs. x
∴ Discount = 30% of x

30x

100

= Rs.

According to the question,

= 82.5

⇒ x =

82.5 × 10

Rs. 275

∴ Required cost price of calculator = 70% of 275

= Rs.

70 × 275

100

= Rs. 192.50

80. ln how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together ?
(a) 13440
(b) 1440

(c) 360
(d) 120
(e) None of these
Ans.(e) There are 8 letters in the word 'SOFTWERE' including 3 vowels (O,A,E) and 5 consonants (S,F,T,W,R).
Considering three vowels as one letter, we have six letters which can be arranged in ⁶P₆ = 6! ways. But corresponding to each way of these arrangements, the vowels can be put together in 3! ways.
∴ Required number of words = 6! × 3! = 4320

81. A motor starts with the speed increasing every two hours by of 7 0 kmph with its speed increasing every two hours by l0 kmph. ln how many hours will it cover 345 kms ?
(a) 2 (1/4) hours
(b) 4(1/2) hours
(c) 4 hours 5 minutes
(d) Cannot be determined
(e) None of these
Ans. (b) Initial speed of motor = 70 kmph.
Distance covered in first 2 hours
= 2 × 70 = 140 kms.
For next two hours speed of motor = 80 kmph.
∴ Distance converted in next 2 hours
= 2 × 80 = 160 kms.
Distance covered in first 4 hours = 140 + 160 = 300
Remaining distance = 345 - 300 = 45 km
This distance will be covered at the speed of 90 kmph.

∴ Time taken =

hour

∴ Total time = 4 +

= 4

hours

82. What will be the cost of gardening 1 meters. broad boundary around a rectangular plot having perimeter of 340 meters. at the rate of Rs. l0 Per square meters. ?
(a) Rs. 3,400
(b) Rs.1,700
(c) Rs. 3,440
(d) Cannot be determined
(e) None of these
Ans. (c) Total area of rectangular plot to be gardened
= 340 × 1 + 4 × 1 = 344 sq.m
∴ Total cost = 344 × 10
= Rs. 3440

83. In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women?
(a) 2450
(b) 105
(c) 1170
(d) Cannot be determined
(e) None of these
Ans. (a) 4 men out of 7 men and 4 women out of 8 women can be chosen in ⁷C₄ × ⁸C₄ ways.

⇒

7 × 6 5 × 4

1 × 2 × 3 × 4

8 × 7 × 6 × 5

1 × 2 × 3 × 4

= 35 × 70 = 2450

84. A certain amount earns simple interest of Rs' 1,750/- after 7 years. Had the interest been 2o/more,how much more interest would it have earned ?
(a) Rs. 35
(b) Rs.350
(c) Rs.245
(d) Cannot be determined
(e) None of these
Ans. (d) Let the principal be Rs. x and rate of interest be r%

Case I :

x × r × 7

100

= 1750

⇒ xr =

1750 × 100

= Rs. 25000
Case II.

S.I. =

x × (r + 2) × 7

100

Which cannot be determined with the help of given information.

85. Seats for Maths, Physics and Biology are in the ratio of 5:7:8 respectively. There is a proposal to increase these seats by 40%. 50% and 75% respectively' What will be the respective ratio of increased seats ?
(a) 2:.3 : 4
(b) 6:7:8
(c) 6: 8 :9
(d) Cannot be determined
(e) None of these
Ans. (a) Let the initial seats for Maths, Physics and Biology be 5x, 7x and 8x respectively.
Now, new seats for Maths

=	5x × 140 100

For Physics =

7x × 150

100

and for Biology =

8x × 175

100

∴ Required ratio

5x × 140

100

;

7x × 150

100

;

8x × 175

100

= 5 × 140 : 7 × 150 : 8 × 175 = 2 : 3 : 4
Directions (86-90): Study the information given in each of these questions to answer the questions.
86. Financial Information about a Company for two years

Revenue

Expenditure

Profit

Which of the following can be inferred from the above ?
(a) The profit in both the years was same because the revenue and expenditure were also the same.
(b) In spite of revenue being less in 2007, the profit was same as 2006 because the expenditure also was correspondingly less.
(c) The profit and revenue in2007 were slightly less than that of 2006.
(d) The profit is entirely related to revenue.
(e) The expenditure is directly related to revenue.
Ans.(b)

87.

Food Type	% of of fat per 100 gms.
A B C	28 20 13

Which of the following diets would supply the most fat?
(a) 200 gms of A and 300 gms of C
(b) 200 gms of B and 200 gms of A
(c) 100 gms of G and 300 gms of A
(d) 300 gms of C and 100 gms each of A and B
(e) 150 gms each of A, B and C
Ans. (c) Amount of fat in :
200 gms of A and 300 gms of C

= 200 ×

100

+ 300 ×

100

= 56 + 39 = 95 gms.
200 gms of B and 200 gms of A
= 40 + 56 = 96 gms
100 gms of C and 300 gms of A
= 13 + 84 = 97 gms.
300 gms of C and 100 gms each of A and B
= 39 + 28 + 20 = 87 gms
150 gms each of A, B and C

= 28 ×

+ 2

+ 20 ×

+ 13 ×

= 42 + 30 + 19.5
= 91.5 gms
Hence, option (c) is our answer.

88. A = x % of y
B = y %of x
Which of the following is true based on above ?
(a) A is greater than B
(b) A is smaller than B
(c) Relationship between A and B cannot be determined
(d) lf x is smaller than y then A is greater than B
(e) None of these

Ans.(e)

A = x % of =

100

B = y % of =

100

∴ A = B

89. Percentage of Male, Female, Literate and Illiterate

Literate male

Illiterate male

Literate Female

Illiterate

What is the difference between number of Literate Male and Literate Female?
(a) 75,000
(b) 1,500
(c) 5,000
(d) 500
(e) None of these
Ans.(c) Number of literate males
= 35 % of 2,50,000
Number of literate females
= 33 % of 2, 50, 000
∴ Required difference
= (35 - 33)% of 2,50, 000
= 2% of 2,50,000 = 5,000

90. x =

a - 1

; y =

a - 1

(a) x is greater than u
(b) y is greater than x only if a < 1
(c) x is equal to y
(d) x is equal to y only if a < 1
(e) x is greater than only if a < 1.
Ans.(a) We have,

x - y =

a - 1

= 1

Clearly, x > y

Directions (91-95) : In each of the following questions two equations are given. You have to solved them and
Given answer (a) if p < q;
Given answer (b) if > q;
Given answer (c) if p < q
Given answer (d) if p > q

91. I. p² - 7p = - 12
II. q² - 3q + 2 = 0
Ans. (b) (I) p² - 7p = - 12
⇒ p² - 4p + 12 = 0
⇒ p² - 4p - 3p + 12 = 0
⇒ p(p - 4) -3 (p - 4) = 0
⇒ (p - 4) (p - 3) = 0
⇒ p = 3 or 4
(II) q² - 3q + 2 = 0
⇒ q² - 2q - q + 2 = 0
⇒ q(q - 2) - 1 (q - 2) = 0
⇒ (q - 2) ( q - 1) = 0
⇒ q = 1 or 2
Obviously p > q

92. I. 12p² - 7p = - 1
II 6q² - 7q + 2 = 0
Ans. (a) 12p² - 7p = - 1
⇒ 12p² - 7p + 1 = 0
⇒ 12p² - 4p - 3p + 1 = 0
⇒ 4p (3p - 1) - 1 (3p - 1) = 0
⇒ (3p - 1) (4p - 1) = 0

⇒ p =

(II) 6q² - 7q + 2 = 0
⇒ 6q² - 4q - 3q + 2 = 0
⇒ 2q(3q -2) - 1 (3q - 2) = 0
⇒ (3q - 2) (2q - 1) = 0

⇒ q =

Obviously, p ≤ q

93. I p² + 12p + 35 = 0
II. 2q² + 22q + 56 = 0
Ans.(c) (I) p² + 12p + 35 = 0
⇒ p² + 7p + 5p + 35 = 0
⇒ p(p + 7) + 5 (p + 7) = 0
⇒ p(p + 7) (p + 5) = 0
⇒ p = - 5 or - 7
(II) 2q² + 22q + 56 = 0
⇒ 2q² + 14q + 8q + 56 = 0
⇒ 2q(q + 7) + 8 (q + 7) = 0
⇒ (q + 7) (2q + 8) = 0
⇒ q = - 7 or -4
Obviously, p≤ q

94. I p² - 8p + 15 = 0
II. q² - 5q = - 6
Ans.(d) (I) p² + 8p + 15 = 0
⇒ p² - 3p - 5p + 15 = 0
⇒ p(p - 3) - 5 (p - 3) = 0
⇒ (p - 3) (p - 5) = 0
⇒ p = 3 or 5
(II) q² - 5q = - 6
⇒ q² - 5q + 6q + 6 = 0
⇒ q² - 3q - 2q + 6 = 0
⇒ q(q - 3) -2 (q - 3) = 0
⇒ q(q - 3) (q - 2) = 0
q = 3 or 2
Obviously, p ≤ q

95. I. 2p² + 20p + 50 = 0
II. q² = 25
Ans. (c) (I) 2p² + 20p + 50 = 0
⇒ p² + 10p + 25 = 0
⇒ (p + 5)² = 0
⇒ p + 5 = 0
⇒ p = - 5
(II) q² = 25
⇒ q = + 5
Obviously, p ≤ q.

Directions (96-100) : Study the following graph to answer the given questions.
Production of two Companies A & B over the years (Production in Lakh units)

96. For Company A, what is the per centre decrease in production from 2000 to 2001 ?
(a) 75
(b) 50
(c) 25
(d) l0
(e) None of these
Ans.(c) Production of Company A
in 2000 = 4 lakh units
in 2001 = 3 lakh units
Decreases = 4 - 3 = 1 lakh units
∴ % decrease

× 100 = 25%

97. ln 2007,the production of Company B is approximately what per cent of that of in 2006 ?
(a) 60
(b) 157
(c) 192
(d) 50
(e) 92
Ans. (b) Production of Company B
in 2006 = 7 lakh units
in 2007 = 11 lakh units.
∴ Required percentage

× 100 = 157.14 ≈ 157 %

98. For Company A, in which year is the percentage increase/ decrease in the production from the previous year is the highest?
(a) 2007
(b) 2001
(c) 2005
(d) 2002
(e) None of these
Ans. (d) It is obvious from the graph.

99. What is the difference in the total production of the two Companies for the given years ?
(a) 27,00,000
(b) 31,00,000
(c) 2,70.000
(d) 3,10,000
(e) None of these
Ans.(a) Total production of Company A
= (4 + 3 + 8 + 8 + 7 + 8 + 11)
= 31 lakh units = 5800000
Total production of Company B
( 1 + 1 + 1 + 2 + 3 + 5 + 7 + 11)
= 31 lakh units = 3100000
∴ Required difference
= (58 - 31) × 100000
= 2700000

100. Which of the following is the closest average production in lakh units of Company B for the given years ?
(a) 4.1
(b) 3.5
(c) 4.3
(d) 3.75
(e) 3.9
Ans (e) Required average production of Company B

lakh units

= 3.875 ≈ 3.9 lakh units

Directions (10l-105): Study the following information to answer the given questions.
Percentage of students in various courses (A, B, C, D, E, F ) and Percentage of girls out of these.
Total students: 1200
(800 girls + 400 boys)
Percentage in various courses

Total Girls : 800
Percentage of Girls in courses

101. For course D what is the respective ratio of boys and girl ?
(a) 3 : 4
(b) 4 : 5
(c) 3 : 5
(d) 5 : 6
(e) None of these
Ans. (a) For Course D
No. of girls = 30% of 800

30 × 800

100

= 240

No. of students

= 35 ×

100

× 1200 = 420

∴ No. of boys = 420 - 240 = 180
∴ Required ratio = 180 : 240 = 3 : 4

102. For which pair of courses is the number of boys the same ?
(a) E & F
(b) A & D
(c) C & F
(d) B & D
(e) None of these
Ans. (c) Number of boys
in course E = 12% of 1200 - 14% of 800 = 144 - 112 = 32
in course F = 13 % of 1200 - 14% of 800 = 156 - 112 = 44
in course A = 20% of 1200 - 30% of 800 = 240 - 240 = 0
in course D = 35% of 1200 - 30 % of 800 = 420 - 240 = 180
in course C = 5% of 1200 - 2% of 800 = 60 - 16 = 44
Obviously pair C and F is our answer.

103. For course, E the number of girls is how much per cent more than the boys for course E ?
(a) 250
(b) 350
(c)150
(d) 80
(e) None of these
Ans. (a) Four Course E,
No. of girls = 14% of 800
= 112
No. of boys = 32
∴ Required percentage

80 32

× 100 = 255

104. For which course is the number of boys the minimum ?
(a) E
(b) F
(c) C
(d) A
(e) None of these
Ans.(d)

105. How many girls are in course C ?
(a) 44
(b) 16
(c) 40
(d) 160
(e) None of these
Ans.(b) No. of girls in course C
= 2% of 800 = 16

Directions (106-110) In each of these questions a number series is given. Only one number is wrong in each series. You have to find out the wrong number.
106. 10 15   24   35   54   75   100
(a)35
(b) 75
(c) 24
(d) 15
(e) 54
Ans.(a) The given series is based on following pattern
15 - 10 = 5
24 - 15 = 9
37 - 24 = 13
54 - 37 = 17
75 - 54 = 21
100 - 75 = 25
Obviously, 35 is wrong number.

107. 1    3 4    7     11     18    27    47
(a) 4
(b) 11
(c) 18
(d) 7
(e) 27
Ans. (e) Here the middle number = difference of succeeding number and preceding number.
i.e., 4 - 1 = 3
7 - 3 = 4
11 - 4 = 7
18 - 7 = 11
27 - 11 = 16
Here the sequence gets disturbed
∴ 29 - 11 = 18
47 - 18 = 29
Hence, 27 is the wrong number.

108. 3 2 6 12 37.5   115.5
(a) 37.5
(b) 3
(c) 6
(d) 2
(e) 12
Ans. (e) The sequence is based on following pattern :
3 × 0.5 + 0.5 = 2
2 × 1 + 1 = 3
3 × 1.5 + 1.5 = 6
6 × 2 + 2 = 14
14 × 2.5 + 2.5 = 37.5
37.5 × 3 + 3 = 37.5
Obviously, 12 is the wrong number.

109. 2    8     32      148      4626       32431
(a) 765
(b) 148
(c) 8
(d) 32
(e) 4626
Ans. (d) 32431 = 7 × 4626 + 7²
4626 = 6 × 765 + 6²
765 = 5 × 148 + 5²
14814 × 32 + 4²
But 148 = 4 × 33 + 4²
33 = 3 × 8 + 3²
8 = 2 × 2 + 2²
Obviously 32 is the wrong number.

110. 2 3 11    38 102 229   443
(a) 11
(b) 229
(c) 102
(d) 38
(e) 3
Ans. (b) The sequence is based on following pattern :
3 - 2 = 1³
11 - 3 = 8 = 2³
38 - 11 = 27 = 3³
102 - 38 = 64 = 4³
But,
229 - 102 = 127 ≠ 5³
227 - 102 = 125 = 5³
443 - 227 = 125 = 6³
Obviously 229 is the wrong number.

Directions (111-115) : Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statement and -
Given answer (a) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
. Give answer (b) if the data in statement II alone are sufficient t to,answer the question, while the data in statement 1 alone are not sufficient to answer the question.
Give answer (c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (d) if the data even in both the statements I and II together are not sufficient to answer the question.
Give answer (e) if the data in both the statements I and II together . are necessary to answer the question.

111 . By selling a product for Rs. 100/- how much profit was earned ?
(I) 20% profit would have been earned if it had been sold for Rs. 90/-
(II) The profit was one-third of the purchase price
Ans. (c) S.P. of the product = Rs. 100
From statement I,

C.P. =

100

120

× 90 = Rs. 75

∴ Actual profit = 100 - 75
= Rs. 25
From statement II.
Let the C.P. be Rs. x
Then profit = x/3

∴ x +

= 100

⇒ 4x = 300 ⇒ x = Rs. 75
∴ Profit = Rs. 25

112. A train crosses another train running in the opposite direction in x seconds. What is the speed of the train ?
(I) Both the trains are running at the same speed.
(II) The first train is y cm. long.
Ans.(d) Time taken in seconds to cross

=	Sum of length of both trains in meters. Relative speed in m/sec.

x +	0.0y + z 24

where z m is the length of other train.
To know u, z is required.

113. The difference between the two digits of a number is 6. What is the numbered?
(I) The digit at the unit place is bigger than the other digit.
(II) The sum of the two digits is 12.
Ans. (e) Let the digits at unit's and ten;s place be x and y respectively.
When x > y then x - y = 6
Then x - y = 6 and x + y = 12 gives
x = 9 and y = 3
Again, where y > x
y - x = 6
Hence, y - x = 6
and x + y = 12 gives
y = 9 and x = 3
Hence, the numbers are 93 or 39. Obviously, when statement I is not taken into consideration, two numbers are possible.

114. X,Y and Z are integers. Is X an odd number ?
(l) An odd number is obtained when X is divided when is divided by 5.
(II) (X + y) is an odd number.
Ans. (a) X/5 = odd number It is possible 5
only when X is odd
From statement II
X + Y = an odd number
But, X = 2 and Y = 5 gives
X + Y = 7, an odd number
Hence Only statement I is sufficient to answer the question.

115. What is the capacity of a cylindrical tank?
(I) Radius of the base is half of .its height which is 28 meters.
(II) Area of the base is 616 sq. meters and irs height is 28 meters.
Directions (116-120): Study the following table to answer the given questions.
Percentage of Marks Obtained by Students in Six Subjects

	English	History	Computers	Math	Science	Economics
Student	(60)	(40)	(130)	(150)	(120)	(80)
Meera	100	80	50	90	90	60
Subodh	80	70	80	100	80	40
Kunal	90	70	60	90	70	70
Soni	60	60	65	80	80	80
Richu	50	90	62	80	85	95
Irene	40	60	64	70	65	85
Vijay	80	80	35	65	50	75

Ans. (c) From statement I.
Capacity of tank
= p × 14 × 14 × 28
= 17248 m³.
From Statement II.
Capacity of tank = 616 × 28 = 17248 m³.
Obviously, either statement I or statement II is required.

116. What are the total makes obtained by Meera in all the subjects ?
(a) 448
(b) 580
(c) 470
(d) 74.67
(e) None of these
Ans. (a) Marks obtained by Meera in :
English = 60

History = 40 ×

100

= 32

Computers = 50 ×

130

100

= 65

Maths =

90 × 150

100

= 135

Science = 90 ×

120

100

= 108

Economics =

60 × 80

100

= 48

∴ Total marks
= 60 + 32 + 65 + 135 + 108 + 48 = 448

117. What are the average marks obtained by these seven students in History? (rounded of to two digits)
(a) 72.86
(b) 27.32
(c) 24.86
(d) 29.14
(e) None of these
Ans. (d) Marks obtained in History by:

Meera =

40 × 80

100

= 32

Subodh =

70 × 40

100

= 48

Kunal =

70 × 40

100

= 28

Soni =

60 × 40

100

= 24

Richu =

90 × 40

100

= 36

Irene =

60 × 40

100

= 24

Vijay =

80 × 40

100

= 32

=	32 + 28 + 28 + 24 + 36 + 24 + 32 7

204

100

= 29.14

118. How many students have got 60%o or more marks in all the subjects ?
(a) One
(b) Two
(c) Three
(d) None
(e) None of these
Ans.(b)

119. What is the overall percentage of Kunal?
(a) 64
(b) 65
(c) 75
(d) 64.24
(e) None of these
Ans. (c) Total marks obtained by Kunal = 54 + 28 + 78 + 135 + 84 + 56 = 435
Total marks
= 60 + 40 + 130 + 150 + 120 + 80 = 580
∴ Required percentage

435

580

× 100 = 75

120. In which subject is the overall percentage the best?
(a) Maths
(b) Economics
(c) History
(d) Science
(e) None of these
Ans.(a)

Directions (l2l-125): Find out the approximate value which should replace the question mark (?) in the following questions, (You are not expected to find out the exact value)

121. 95^3.7÷ 95^0.9989 = 95 ?
(a) 1.9
(b) 3
(c) 2.99
(d) 3.6
(e) 2.7
Ans. (e)
⇒ 95^? = 95^3.7 ÷ 95^1.0
⇒ 95^? = 95^3.7 - 95^2.7
⇒ ? = 2.7

122. √1000 + (3.001/4.987) of 1891.992 = ?
(a) 2500
(b) 1230
(c) 1640
(d) 1525
(e) 2130
Ans. (b) ? = √10000 + (3/5) × 1892
= 100 + 1135.2 = 1235.2 ≈ 1230

123. 0.0004 ÷ 0.0001 × 36.000009 = ?
(a) 0.10
(b) 1.45
(c) 145
(d) 14.5
(e) 1450
Ans. (c)

≈

0.0004

0.0001

× 36 = 4 × 36

= 144 ≈ 145

124. 137% of 12345 = ?
(a) 17000
(b) 15000
(c) 1500
(d) 14300
(e) 6300
Ans. (a) ? = 140 % of 12300

=	140 × 12300 100

= 17220 = 17000

125. 3739 + 164 × 27 = ?
(a) 105400
(b) 4000
(c) 8200
(d) 690
(e) 6300
Ans. (c) ? = 3739 + 160 × 30
= 3739 + 4800 = 8539 ≈ 8200

ENGLISH LANGUAGE

Directions (126 - 135): Read the following passage to answer the given questions. Some words have been printed in bold to help you to locate them while answering some of the questions. We tend to be harsh on our bureaucracy, but nowhere do citizens enjoy dealing with their government. They do it because they have to. But that doesn't mean that the experience has to be dismal. Now there is a new wind blowing through government departments around the world, which could take some of this pain away. In the next five years it may well transform not only the way public services are delivered but also the fundamental relationship between government and citizens. Not surprisingly, it is the Internet that is behind it. After e-commerce and e-business, the next revaluation may be e- governance.
Examples abound. The municipality of Phoenix, Arizona, allows its citizens to renew their car registrations, pay traffic fines, replace lost identity cards etc. online without having to stand in endless queues in a grubby manipal office. The municipality is happy because it saves $5 a transaction it costs only $1.60 to process an online transaction versus $6.60 to do it across's the counter. In Chile, people routinely submit their income tax returns over the Internet, which has increased transparency, drastically reduced the time taken and the number of errors and litigation with the tax department. Both tax payers and the revenue department are happier.
The furthest ahead. not surprisingly. is the small, rich and entrepreneurial civil service of Singapore, which allows citizens to do more functions online than any other. As in many private companies, the purchasing and buying of singapore's government departments is now on the Web, and cost benefits come through more competitive bidding, easy access to global suppliers and time saved by online processing of orders. They can post their catalogues on their site, bid or contracts submit in voices and check their payment status over the Net. The most useful idea for Indian municipalities is Gov Works a private sector-run site that collects local taxes, fines, and utility bills for 3,600 municipalities across the United States. It is a citizen,s site, which also provides information on government- jobs, enders, etc. The most ambitious is the British government, which has targeted to convert 100 per cent of its transactions with its citizens to the Internet by 2005.
Cynics in India will say, 'Oh, government will never work in India. We are so poor and we don't have computers.' But they are wrong! There .are many experiments afoot in India as well. citizens
in Andhra Pradesh can download government forms and submit applications on the Net without having to bribe clerks. In many districts, land records are online and this has created transparency. Similarly, in Dhar district to Madhya pradesh, villagers have begun to file applications for land transfers and follow their progress on the Net. ln seventy village in the Kolhapur and Sangli districts in Maharashtra. Internet booths have come up where farmers can daily check the market and rates of agricultural commodities in Marathi, along with data on agricultural schemes, information on crop technology, when to spray and plant their crops and bus and railway timetables. They also find vocational guidance on -jobs, applications for ration cards, kerosene/gas burners and land record extracts with details of land ownership. Sam Pitroda's World Tel, Reliance Industries and the TamilNadu government are jointly laying 3,000 km of optic fibre cables to create a Tamil Network which will offer ration cards, school college and hospital admission forms, land records, and pension records. If successful, World Tel will expand the network to Gujarat, Karnataka and West Bengal. In Kerala, all the villages are getting linked online to the district headquarters, allowing citizens to compare the development priorities of their village with other villagers in the state.
.Many are still skeptical of the real impact because so few Indians have computers. The answer lies in interactive cable. T.V. and in Internet kiosks. Although India has only five million computers and thirty-eight million telephones, it has thirty four million homes with cable T.V. and these.are growing eight per cent a year. By 2005 most cable homes will have accces to the internel from many of the 700,000 local STD/PCO booths. Internet usage may below today. but it is bound to grow rapidly in the future. and e-governance in India may not be a dream.

126. According to the passage, which country has the most ambitious plan for e-governance?
(a) USA
(b) Chile
(c) Singapore
(d) India
(e) UK
Ans. (c)

127. Gov Works is working in which of the following countries ?
(a) India
(b) UK
(c) Chile
(d) Singapore
(e) None of these
Ans. (e)

128. Choose the word that is opposite in meaning of the word
"dismal" as used in the passage.
(a) grim
(b) approve
(c) pleasing
(d) better
(e) enrich
Ans.(c)

129. How can lndia overcome e-governance ?
(a) By manufacturing more computers
(b) Through cable TV and Inter;et Kioshs
(c) By opening more STD/PCO booths
(d) By making the internet free
(e) By putting more services on internet
Ans. (e)

130. Which of the following has not been one of the effects of submitting income tax return over internet in Chile ?
(a) Reduction of legal cases
(b) Reduction in erros
(c) Increase in transparency
(d) Increase in number of returns
(e) Reduction in time taken
Ans. (d)

131. Choose the word that is same in meaning as the word "abound" as used in the passage.
(a) around
(b) proliferate
(c) flourish
(d) Plentiful
(e) few
Ans. (d)

132. Choose the word that is same in meaning as the word " post" as used in the passage.
(a) deliver
(b) send
(c) put up
(d) drop out
(e) later
Ans. (b)

133. According to the passage which country is at present the most advanced in e-governance ?
(a) Singapore
(b) Chile
(c) India
(d) USA
(e) UK
Ans. (a)

134. In which direction is the new wind blowing ?
(a) More and more interaction of citizens with government through internet
(b) Outsourcing the work of infrastructure creation for internet
(c) Increasing the penetration of computers in rural areas
(d) Integrating e-commerce, e-business and e-governance
(e) Introducing e-governance programmes in schools and colleges
Ans.(a)

135. According to the passage, what is the annual growth rate of computer in India ?
(a) 8%
(b) 5%
(c) 0.5%
(d) Not mentioned
(e) None of these
Ans. (d)

Directions ( 136-145) In each of the following questions four words are given of which two words are most nearly the same or opposite in meaning. Find the two words which are most nearly the same or opposite in meaning and indicate the number of the correct letter combination,

136. (A) Proximate
(B) Elevated
(C) Nimble
(D) Agile
(a) A-B
(b) B-C
(c) C-D
(d) B-D
(e) C-D
Ans. (e) (A) Proximate - nearest or next, without anything between a cause and its effect.
(B) Elevated - dignified , elated , grand high, lofty, noble, raised, sublime.
(C) Nimble - active, agile, alert, brisk, deft, light-fotted, raised, sublime
(D) Agile - active, adroit, brisk, clever, quick, sharp, swift, spry
Hence C-D bear same meaning

137. (A) Notion
(B) Symbol
(C) Concept
(D) Message
(a) A-B
(b) B-C
(c) A-C
(d) C-D
(e) B-D
Ans. (e) (A) Notion - apprehension, belief, concept, fancy, image, judgment, knowledge
(B) Sym bole - badge, emblem, image, logo, representation sign, token, type
(C) Concept - abstraction conception, construct, idea, image, type, view
(D) Massage - rubbing, kneading, manipulation, rub-down
Hence B -D bear same meaning

138. (A) Limpid
(B) Luscious
(C) Acrid
(D) Benign
(a) A-B
(b) B-C
(c) C-D
(d) B-D
(e) A-C
Ans. (b) (A) Limpid - bright, clear, comprehensible, crystal-clear, glassy, intelligible, pure
(B) Luscious - appetizing, delicious, desirable, juicy, savoury, sweet, tasty
(C) Acrid - acid, acrimonious, bitter, sharp, burning, punget, sarcastic
(D) Benign - amiable, benevolent, friendly, genial , gentle, good, gracious
Hence B-C bear same meaning

139. (A) Asinine
(B) Furious
(C) Fortunate
(D) Ridiculous
(a) A-D
(b) A-B
(c) A-C
(d) B-C
(e) B-D
Ans. (a) (A) Asinine - of or like an ass, idiotic
(B) Furious + angry, boiling, enraged, fierce, fuming, givid, mad, raling, violent, stormy,
(C) Fortunate - Advantageous, blessed, bright, lucy, happy, successful, felicitious, opportunate
(D) Ridiculous - absurd, comical, derisory, fracical, foolish, funny, stupid, ludicrous
Hence A-D bear same meaning

140. (A) Companion
(B) Amateur
(C) Adept
(D) Adherent
(a) B-C
(b) B-D
(c) C-D
(d) A-B
(e) A-D
Ans.(c) (A) companion - accomplice, aide, ally, assistant, associate fellow, mate, partner
(B) Amateur-buff, dabbler, dilettante, fanier, ham, layman, non-professional,
(C) Adept - able, accomplished, adroit, versed, skilled, proficient, practiced nimble.
(D) Adherent - admirer, advocate, devotee, disciple, fan, follower, supporter.
Hence A-D bear same meaning

141. (A) Squander
(B) Disunite
(C) Flicker
(D) Preserve
(a) A-C
(b) B-C
(c) A-D
(d) C-B
(e) B-D
Ans.(c) (A) Squander - below, consume, dissipate, expended, fritter, waste, scatter, misuse
(B) Disunite - to separate from union, detach, divide, to sever or surrender
(C) Flicker - flare, flash, flutter, waver, vibrate, twinkle, glimmer, gutter
(D) Preserve - care for, conserve, continue, defend, guard, keep, uphold, shelter
Hence, A -D bear same meaning

142. (A) Mitigate
(B) Acquiesce
(C) Relinquish
(D) Duplicate
(a) A-C
(b) B-D
(c) A-B
(d) C-D
(e) B-C
Ans. (e) (A) Mitigate - to mollify, oppease, to make more easily born, to temper,
(B) Acquiesce - accede, accept, agree, allow, approve, as - sent, comply, concur
(C) Relinquish - abandon, cede desert, discard, forgo, resign, vacate
(D) Duplicate - corresponding, identical, method, twofold, twin
Hence, B-D bear same meaning

143. (A) Fable
(B) Legend
(C) Portrayal
(D) Contract
(a) A-C
(b) B-C
(c) B-D
(d) A-B
(e) C-D
Ans.(d)

144. (A) Occurrence
(B) Pretence
(C) Profusion
(D) Extravagance
(a) B-C
(b) C-D
(c) B-C
(d) A-C
(e) A-B
Ans. (b) (A) Occurrence - auction, adventure, affair, instance, incident, episode
(B) Pretence - acting, affection, aim, allegation, appearance, charade, grab
(C) Profusion - abundance, copiousness, glut, multitude, wealth, extravagance
(D) Extravagance - abundance, excess, folly, squandering, waste, profusion
Hence, C-D bear same meaning.

145. (A) Excellent
(B) Passionate
(C) Apathetic
(D) Discrepant
(a) A-B
(b) A-C
(c) A-D
(d) B-C
(e) C-D
Ans. (d) (A) Excellent - admirable, commendable, unequalled, superb, wonderful, worthy
(B) Passionate, ardent, erotic, stormy, violent, wild, zealous, fiery, inflamed, fervent
(C) Apathetic - Cold, cool, impassive, passive, unemotional, indifferent
(D) Discrepant - contrary, disagreeing
Hence, B-C bear opposite meanings.

Directions (146-150) Rearrange the following eight sentences (A), (B), (C), (D), (E), (F), (G) and (H) in the proper sequence to from a meaningful paragraph; then answer the questions given below then

(A) But I always felt somewhere in my mind that I loved acting.
(B) He never wanted me to an actor, as he didn't look upon theatre or acting as respectable vocation.
(C) Firstly, there was no tradition of theatre in my - family.
(D) I am taking specifically of acting, not theatre in general.
(E) My parents were old-fashioned.
(F) I will answer all your queries a little elaborately.
(G) Let alone theatre, arts in general had no place of respect in my family.
(H) My father was a government servant
(146-150) :

First Sentence - (F) I will answer all your queries a little elaborately.
Second Sentence - (C) Firstly, three was no tradition of theatre in my-family.
Third sentence - (G) Let alone theatre, arts in general had no place of respect in my family;
Fourth Sentence - (E) My parents were old-fashioned
Fifth sentence - (H) My father was a government servant.
Sixth sentence - (B) He never wanted me to be an actor, as he didn't look upon theatre or acting as respectable vocation.
Seventh sentence - (A) But I always felt somewhere in my mind that I loved acting.
Eighth sentence - (D) I am taking specifically of acting, not mind theatre in general.

146. Which of the following will be the LAST sentence
(a) G
(b) C
(c) H
(d) D
(e) E
Ans. (d)

147. Which of the following will be the FIRST sentence ?
(a) A
(b) B
(c) D
(d) C
(e) F
Ans. (e)

148. Which of the following will be the SIXTH sentence?
(a) B
(b) C
(c) A
(d) D
(e) E
Ans. (a)

149. Which of the following will be the FOURTH sentence ?
(a) D
(b) E
(c) A
(d) B
(e) G
Ans. (b)

150. Which of the following will be the THIRD sentence ?
(a) H
(b) E
(c) G
(d) C
(e) A
Ans. (c)

Directions (151-155) Read each sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The number of the part is the answer is 'e' (Ignore errors of punctuation, if any)

151. Many animals and plants live in water (a)/but not in the same kind of water(b)/ because not all water is the same.          (c)/See water, for instance, contains a lot of salt, fresh water contains very little. (d)/ No error (e)
Ans. (d) The group of words, "sea water for instance, contains a lot of salt, fresh water contains very little" should be replaced by 'sea water for instance, contains a lot of salt fresh water contains a very little'.
Look at the sentences:
He has little milk to give you. (×)
He has a little milk to given you. (√)

152. A sparrow has made a nest in Kesho's house (a)/ and had laid eggs. Both Kesho and his sister Shyam (b)/ watched the nest fro hours every day. (c)/ Even meal time were forgotten.(d)/ No error (e)
Ans. (a) The group of words, 'a sparrow has made a nest in kesho's house' should be replaced by 'a sparrow had made nest in kesho's.
Look at the sentences:
Heena said that he is wrong. (×)
Heena said that he was wrong. (√)

153. A skillful advertiser may be able to create (a)/ practically a monopoly for himself. (b)/ not because his product is superior to (c)/ but because he has succeeded in inducing people to believe that it is. (d)/ No error (e)
Ans. (b) The group of words, 'monopoly for himself should be replaced by 'monopoly of himself.

154. Whatever may be the origin of speech, (a)/ we can be certain that man did not began (b)/ to feel the need to speak (c)/ until he began to live in communities. (d)/ NO error (e)
Ans. (b) The group of words, 'we can be certain that man did not began' should be replaced by 'man did not begin'
Because Do/Does/Did takes first From (V₁).
Look at the sentences :
He do goes to market. (×)
He do go to market. (√)
He did not went to market. (×)         ↓          ↓         V₂V₂
He did not go to market. (√)

155. Each animal of the same species (a)/ looks for the same sort of food. (b)/ Also, there may be other animal of different species (c)/ competing with the same food. (d) No error (e)
Ans. (e)
Directions (156-160) Pick out the most effective pair of words from the given pair of words the sentence/s meaningfully complete.

156. Of all the problems that have .................... human being since the beginning of recorded history, perhaps the most significant has been the .............. of their own nature.
(a) encountered ................ importance
(b) perplexed .............. value
(c) questioned ........... scope
(d) confronted ........... riddle
(e) directed ........... issue
Ans. (d)

157. Self-concept and self - esteem are crucial to personal and professional effectiveness because if they are not fully ............................ I may act in mystifying and sometime ............ ways.
(a) positive ............... destructive
(b) developed............... proactive
(c) nurture d................. reactive
(d) nourished ............. listless
(e) devised ............. vulnerable
Ans. (c)

158. A key factor in ................... an effective and fulfilling life in our complex society is the ability to ............................ control over our actions.
(a) achieving .......................... exert
(b) obtaining ................... energize
(c) projecting ..................... restrain
(d) providing .................. admonish
(e) expressing ................... withhold
Ans. (a)

159. A theory is ........................ eva to the degree that its concepts ................... to themselves a verification by independent investigators.
(a) critically ..................... pertain
(b) positively................. lend
(c) obviously....................yield
(d) alarmingly....................'introduce
(e) delightfully ..............................' submit
Ans. (a)

160. lt is often the ................ that everyone agrees about objectives; the disagreement ...................... ' about exactly how they are to be achieved.
(a) view ................. ' follows
(b) situation .............. ' talks
(c) matter ................. Projects
(d) happening ................ matters
(e) case ................... arises
Ans. (e)

Directions (161-165) : Which of the phrases (a), (b), (c) and (d) given below should replace the phrase .given in bold in the following sentence grammatically correct. If-the sentence is correct as it is & no correction is required, mark (e) as the answer,

161. . He went to the blast site to save his colleague who was stranding there.
(a) had been stranded
(b) had to strand
(c) was being stranding
(d) was been stranding
(e) No connection required
Ans. (a) The group of words 'was stranding' should be replaced by 'had been stranded'. The word strand means - to cause something to be alone, to make a thing or person to be deserted.
Look at the sentence :
The dead body of the man who hanged was found. (×)                                                            ↓                                                         active
The dead body of the man who was hanged was found. (√)                                  ↓                            Passive

162.When I receive the letter, the date for the interview was already over,
(a) I received the letter
(b) the letter I had received
(c) I had to receive letter
(d) I was receiving
(e) No correction required
Ans (a) The group of words, 'I receive the letter 1 should be replaced 'I received the letter' . The principal clause of the sentence is in Past Tense, hence the sub-ordinate clause should also be used in Past tense
Look at the sentences :
Yesterday when I go there, he had gone out . (×)                                 ↓                    ↓                      Present tense     Past tense
Yesterday when I want there, he had gone out. (√)                                  ↓                               ↓                         Past tense                  Past tense

163. Everyone. is requested to attend the dinner party hosted by the President.
(a) is requesting to
(b) is requested to
(c) will request to
(d) is to requested to
(e) No correction required
Ans. (b) The group of words, 'to the committee' should be replaced be of the committee. To expression between two Nouns we use- Noun + of + Noun structure.
Look at the sentences :
The colour to this pen is green. (×)        ↓         ↓          ↓    Noun  possessive noun
The colour    of      this     pen is green .... (√)        ↓           ↓                  ↓    Noun      possessive     noun

164. The chairman up proved the recommendations to the committee with partial modifications
(a) By the committee for
(b) of the committee with
(c) to the committee
(d) at the committee in
(e) No correction required
Ans. (b)

165. Had the opportunity been given to him he will have proved successful
(a) will have to prove
(b) will be proving
(c) would have proved
(d) would have proven
(e) No correction required
Ans.(c)

Directions (166-175): In the following passage there are blanks each of which has been numbered These numbers are printed below the passage and against each five words are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case.
In an upper class drawing room in Mirror, a dozen or so (166) the city's intelligentsia (176). on the dregs of what was a live-wire party an hour ago. Poets, editors, writers, filmmakers, all card-carrying members of the rich and powerful, not at this late hour, on their ninth drink, are (168) in.what Indians are best known to do: media-bashing armchair criticism and name-calling.
inevitably the talk tums to tehelka, and its managing director and editor-in-chief, Tarun Tejpal, and the party quickly degenerates into an orgy of guilt and same and that peculiar habit of the Indian intelligentsia : passing the buck, with every one present attacking his neighbour for not supporting Tejpal more. It is a trait
Tajpal is (169) with and has been telling me about in the week preceding this interview,
"Often at parties when someone (170) me'great job, carry on what you are doing', and showers with me staggering praise, staggering love, staggering (171) just smile and let it pass as I don't want to score a brownie point and say, 'and what about you boss, what will you do ?"
This lightly-tossed sentence with the slightest hint of a dark chuckie is the only time I have seen Tejpal allow for bitterness, through I have been (172) him for weeks for sings of it. Because, for a man who has been the victim of the most (173) government witch-hunts in recent years, Tejpal is astonishingly .devoid of
(174) You expect him to rage, to spew fire, to heap scorn and anger at his enemies, and instead, what you encounter, is a man in whose eyes,you see only compassion and a weary understanding of the nature of the beast
The abiding irony in all this is that unlike his armchair supporters in the middle class, who rave and rant on his behalf, but do nothing else, Tejpal displays forbearance. "The fact that I am essentially a literary animal and that my entire sensibility has been shaped by literature has helped. I'm not a black-and-white person.
I'm a (175) who understands the greys," he says to me at a coffee shop, over tea.

166. (a) of
(b) in
(c) into
(d) off
(e) from
Ans. (a)

167. (a) feed
(b) feeds
(c) fed
(d) feeding
(e) feeded
Ans. (d)

68. (a) mixing
(b) lending
(c) scaring
(d) indulging
(e) pushing
ans. (d)

169. (a) ordinary
(b) familiar
(c) strange
(d) free
(e) rutine
Ans. (b)

170. (a) bold
(b) said
(c) ask
(d) say
(e) tells
Ans. (e)
171. (a) delight
(b) contempt
(c) worship
(d) affection
(e) admiration
Ans. (e)
172. (a) lure
(b) teasing
(c) baiting
(d) harassing
(e) matching
Ans. (c)
173. (a) gentle
(b) good
(c) various
(d) vicious
(e) wicked
Ans. (d)
174. (a) forbearance
(b) anger
(c) wrath
(d) forgiveness
(e) gale
Ans. (b)
175. (a) boy
(b) guy
(c) youth
(d) humanbeing
(e) follow
Ans. (b)

END

SBI-PO 2007 (Quantitative Aptitude)

(

of 200

)

(

of 125

)

= 80 - 75 = 5

∴ Length = x ×

115

100

23x

meters

Now, length × Breadth = Area

⇒

23x

× x = 460

⇒ x2 =

640 × 20

30x

100

= Rs.

According to the question,

= 82.5

⇒ x =

82.5 × 10

Rs. 275

∴ Required cost price of calculator = 70% of 275

= Rs.

70 × 275

100

= Rs. 192.50

∴ Time taken =

hour

∴ Total time = 4 +

= 4

hours

⇒

7 × 6 5 × 4

1 × 2 × 3 × 4

8 × 7 × 6 × 5

1 × 2 × 3 × 4

Case I :

x × r × 7

100

= 1750

⇒ xr =

1750 × 100

= Rs. 25000
Case II.

S.I. =

x × (r + 2) × 7

100

=	5x × 140 100

For Physics =

7x × 150

100

and for Biology =

8x × 175

100

∴ Required ratio

5x × 140

100

;

7x × 150

100

;

8x × 175

100

Revenue

Expenditure

Profit

Food Type	% of of fat per 100 gms.
A B C	28 20 13

= 200 ×

100

+ 300 ×

100

= 28 ×

+ 2

+ 20 ×

+ 13 ×

Ans.(e)

A = x % of =

100

B = y % of =

100

∴ A = B

89. Percentage of Male, Female, Literate and Illiterate

Literate male

Illiterate male

Literate Female

Illiterate

90. x =

a - 1

; y =

a - 1

(a) x is greater than u
(b) y is greater than x only if a < 1
(c) x is equal to y
(d) x is equal to y only if a < 1
(e) x is greater than only if a < 1.
Ans.(a) We have,

x - y =

a - 1

= 1

⇒ p =

(II) 6q² - 7q + 2 = 0
⇒ 6q² - 4q - 3q + 2 = 0
⇒ 2q(3q -2) - 1 (3q - 2) = 0
⇒ (3q - 2) (2q - 1) = 0

⇒ q =

× 100 = 25%

× 100 = 157.14 ≈ 157 %

lakh units

Total Girls : 800
Percentage of Girls in courses

101. For course D what is the respective ratio of boys and girl ?
(a) 3 : 4
(b) 4 : 5
(c) 3 : 5
(d) 5 : 6
(e) None of these
Ans. (a) For Course D
No. of girls = 30% of 800

30 × 800

100

= 240

No. of students

= 35 ×

100

× 1200 = 420

80 32

× 100 = 255

C.P. =

100

120

× 90 = Rs. 75

∴ Actual profit = 100 - 75
= Rs. 25
From statement II.
Let the C.P. be Rs. x
Then profit = x/3

∴ x +

= 100

=	Sum of length of both trains in meters. Relative speed in m/sec.

x +	0.0y + z 24

	English	History	Computers	Math	Science	Economics
Student	(60)	(40)	(130)	(150)	(120)	(80)
Meera	100	80	50	90	90	60
Subodh	80	70	80	100	80	40
Kunal	90	70	60	90	70	70
Soni	60	60	65	80	80	80
Richu	50	90	62	80	85	95
Irene	40	60	64	70	65	85
Vijay	80	80	35	65	50	75

History = 40 ×

100

= 32

Computers = 50 ×

130

100

= 65

Maths =

90 × 150

100

= 135

Science = 90 ×

120

100

= 108

Economics =

60 × 80

100

= 48

Meera =

40 × 80

100

= 32

Subodh =

70 × 40

100

= 48

Kunal =

70 × 40

100

= 28

Soni =

60 × 40

100

= 24

Richu =

90 × 40

100

= 36

Irene =

60 × 40

100

= 24

Vijay =

80 × 40

100

= 32

=	32 + 28 + 28 + 24 + 36 + 24 + 32 7

204

100

= 29.14

435

580

× 100 = 75

≈

0.0004

0.0001

× 36 = 4 × 36

= 144 ≈ 145

124. 137% of 12345 = ?
(a) 17000
(b) 15000
(c) 1500
(d) 14300
(e) 6300
Ans. (a) ? = 140 % of 12300

=	140 × 12300 100

= 17220 = 17000

125. 3739 + 164 × 27 = ?
(a) 105400
(b) 4000
(c) 8200
(d) 690
(e) 6300
Ans. (c) ? = 3739 + 160 × 30
= 3739 + 4800 = 8539 ≈ 8200

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