SBI Clerk Mains Quantitative Aptitude (Day-20)

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Data sufficiency 

Directions (1 – 5): Following questions contain two statements as statement I and statement II. You have to determine which statement/s is/are necessary to answer the question and give answer as,

a)  The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

b) The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

c) The data either in statement I alone or in statement II alone is sufficient to answer the question

d) The data given in both statements I and II together are not sufficient to answer the question

e) The data given in both statements I and II together are necessary to answer the question.

1) The number of employees from company A and B is 900 and 1015 respectively. Number of male employees from A is what percent of the number of female employees from A?

Statement I: The number of male employees from B is 10% more than that of the number of male employees from A. The number of female employees from B is 15% more than that of the number of female employees from A.

Statement II: The number of female employees from B is 175 more than that of the number of female employees from A and the difference between the number of male and female employees from B is 135.

2) A man travels 12 hours partly by car and bus from Chennai to Bangalore. What is the distance between Chennai and Bangalore?

Statement I: He travels 40% of the total distance by car and remaining by bus.

Statement II: He takes 4 hours more if he travel 20% of the distance by bus and the remaining by car.

3) What is the height of the cone?

Statement I: The height of the cone is 17cm more than that of the radius of the cone.

Statement II: The volume of the cone is 1232 cm2 and the total surface area of the cone is 704 cm2.

4) What is the length of the train A?

Statement I: Train A and B running in opposite direction and crosses each other in 36 seconds.

Statement II: The sum of the speed of train A and train B is 150kmph and train B crosses the pole in 18 seconds.

5) What is the age of Esai?

Statement I: The ratio of the present age of Abi and Divya is 5: 4 and after 4 years the ratio of the Divya and Esai is 5: 3. Esai is 8 years older than Deepak.

Statement II: Bharu is 10 years older than Esai and Bharu is how much year older than Abi as same years Abi is older than Deepak.

Wrong number series

Directions (6 – 10): Find the wrong number in the following number series?

6) 11, 17, 29, 49, 79, 119

a) 17

b) 29

c) 49

d) 119

e) 79

7) 21, 39, 113, 450, 2229, 13367

a) 450

b) 113

c) 13367

d) 39

e) 2229

8) 10, 16, 42, 160, 790, 4730

a) 16

b) 160

c) 790

d) 4730

e) 42

9) 90, 80, 145, 415, 1635, 8140

a) 145

b) 80

c) 415

d) 8140

e) 1635

10) 1, 730, 1073, 1198, 1225, 1240

a) 1073

b) 1198

c) 730

d) 1225

e) 1240

Answers :

Directions (1-5) :

1) Answer: A

From Statement I,

Total number of employees from A = 900

Total number of employees from B = 1015

Number of male employees from A = x

Number of female employees from A = y

Number of male employees from B = x * 110/100 = 11x/10

Number of female employees from B = y * 115/100 = 23y/20

x + y = 900 —- (1)

22x + 23y = 1015 * 20 —- (2)

(2) – (1) * 22

y = 500

x = 400

Required percentage = 400/500 * 100 = 80%

So, Statement I alone is sufficient to answer the question.

From Statement II,

Total number of employees from A = 900

Total number of employees from B = 1015

Number of male employees from A = x

Number of female employees from A = y

Number of male from = z

Female from B = y + 175

So, Statement II alone is not sufficient to answer the question.

2) Answer: D

From statement I,

Distance = x

Distance travelled by bus = 60/100 * x = 3x/5

Distance travelled by car = 40/100 * x = 2x/5

Speed of bus = y

Speed of car = z

(3x/5/y) + (2x/5)/z = 12

3x/5y + 2x/5z = 12

So, Statement I alone is not sufficient to answer the question.

From statement II,

Distance = x

Distance travelled by bus = 20/100 * x = x/5

Distance travelled by car = 80/100 * x = 4x/5

Speed of bus = y

Speed of car = z

(x/5)/y + (4x/5)/z = 12 + 4 = 16

So, Statement II alone is not sufficient to answer the question.

3) Answer: D

From statement I,

Radius of the cone = r

Height of the cone = r + 17

So, Statement I alone is not sufficient to answer the question.

From statement II,

Volume of the cone = 1232

1/3 * 22/7 * r * r * h = 1232

TSA = 704

22/7 * r * (l + r) = 704

So, Statement II alone is not sufficient to answer the question.

4) Answer: D

From statement I,

Length of train A = x

Length of train B = y

Speed of train A = a

Speed of train B = b

x + y = (a + b) * 5/18 * 36

x + y = (a + b) * 10

So, Statement I alone is not sufficient to answer the question.

From statement II,

Length of train A = x

Length of train B = y

Speed of train A = a

Speed of train B = b

a + b = 150 kmph

y = b * 5/18 * 18

y = 5b

So, Statement II alone is not sufficient to answer the question.

5) Answer: D

From statement I,

Abi/Divya = 5/4

(Divya + 4)/(Esai + 4) = 5/3

Esai – Deepak = 8

So, Statement I alone is not sufficient to answer the question.

From statement II,

Bharu – Esai = 10

So, Statement II alone is not sufficient to answer the question.

Directions (6-10) :

6) Answer: D

11 + (22 + 2) = 17

17 + (32 + 3) = 29

29 + (42 + 4) = 49

49 + (52 + 5) = 79

79 + (62 + 6) = 121

The wrong number is 119

7) Answer: A

21 * 2 – 3 = 39

39 * 3 – 4 = 113

113 * 4 – 5 = 447

447 * 5 – 6 = 2229

2229 * 6 – 7= 13367

The wrong number is 450

8) Answer: D

(10 – 2) * 2 = 16

(16 – 2) * 3 = 42

(42 – 2) * 4 = 160

(160 – 2) * 5 = 790

(790 – 2) * 6 = 4728

The wrong number is 4730

9) Answer: D

90 * 1 – 10 = 80

80 * 2 – 15 = 145

145 * 3 – 20 = 415

415 * 4 – 25 = 1635

1635 * 5 – 30 = 8145

The wrong number is 8140

10) Answer: E

1 + 93 = 730

730 + 73 = 1073

1073 + 53 = 1198

1198 + 33 = 1225

1225 + 13 = 1226

The wrong number is 1240

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