Analytical Ability Test-7

Result

Analytical Ability Test-7

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Weekly Quiz Competition

Question 1
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Find the sum of the series whose nth term is:

n(n+1)(n+4)

A

B

C

D

Solution
Question 2
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Direction: Study the following figure and answer the questions given below.

How many doctors are both players and artists?

A
22

B
8

C
3

D
30

Solution

The number of doctors who are both players and artists is 3.
Question 3
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Direction: Study the following figure and answer the questions given below.

How many artists are players?

A
5

B
8

C
25

D
16

Solution

The number of artists who are players is,

= 22 + 3

= 25
Question 4
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

What is the respective speed of 2 trains, P and Q of length 175 meters and 150 meters respectively? (Speed of Q > Speed of P)

Statement I. They take 13 seconds to cross each other when they are running in the opposite direction.

Statement II. The trains take 65 seconds to cross each other were running in the same direction.

Statement III. The sum of the speed of P and Q is 25 m/sec.

A
Either statement I and II together or Statement II and III together is sufficient to answer the question.

B
The data in statement I alone is sufficient to answer the question.

C
The data in statement I and II together are sufficient to answer the question.

D
The data in all the statements I, II, and III are not sufficient to answer the question.

Solution

Length of Train P = 175 m

Let the speed of the train be y.

Length of Train Q = 150 m

Let the speed of the train be x.

For Statement I:

325 = (x + y) × 13

⇒ x + y = 25 ----(i)

Statement I alone is not sufficient to answer the question.

For statement II:

325 = (x - y) × 65

⇒ x - y = 5 ----(ii)

Statement II alone is not sufficient to answer the question.

But if we combine both statements I and II then we can find the Speed.

For statement III:

x + y = 25 ----(iii)

Statement III alone is not sufficient to answer the question.

But if we combine statements II and III we can find the Speed.

∴ Either statement I and II together or Statement II and III together is sufficient to answer the question.
Question 5
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

In a family there are 5 members, Malini, Ravi, Girish, Vijay, and Rati. Find the present age of Vijay.

Statement I. The total age of Malini, Rati, and Vijay are 78 years.

Statement II. The average age of the 5 members is 37 years.

Statement III. The present age of Vijay is 14 years more than the age of Girish.

A
The data in statement I alone is sufficient to answer the question, while the data in statement II and III alone are 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 and III alone are not sufficient to answer the question.

C
The data in statement I and II together or in statement III is sufficient to answer the question.

D
The data in all the statements I, II, and III are not sufficient to answer the question.

Solution

For Statement I:

Total age of Malini, Rati, and Vijay = 78 years

Statement I alone is not sufficient to answer the question.

For statement II:

Total age of all 5 members = 37 × 5

⇒ 185

Statement II alone is not sufficient to answer the question.

For statement III:

Let the age of Girish be x

Age of Vijay = x + 14

Interest = 3x – x = 2x

Statement III alone is not sufficient to answer the question.

Statement I, II, and III are not sufficient.
Question 6
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

A dishonest shopkeeper professes to sell his articles at a cost price but uses a faulty scale while selling. What is the profit percentage the shopkeeper makes when he sells the article at a cost price?

Statement I. He uses a scale that weighs less by 25%.

Statement II. The cost price of the article is Rs. 30 per kg.

Statement III. If he has sold the articles at a 12.5% profit on cost price then his net profit percentage would have been 50%.

A
The data in statement I or III alone is sufficient to answer the question.

B
The data in statement I alone is sufficient to answer the question.

C
The data in statement I and II together are sufficient to answer the question.

D
The data in all the statements I, II, and III are not sufficient to answer the question.

Solution

For Statement I:

When he sells 100 units then scale weighs only 75 units.

Let CP of 1 unit = 1 then CP of 75 units = Rs. 75

SP of 75 units = Rs. 100

∴ we conclude that a profit of 33.33%. As we don’t have to find the value so CP is not necessary.

Statement I alone is sufficient to answer the question.

For statement II:

We can conclude that C.P = 30

Statement II alone is not sufficient to answer the question.

For statement III:

Let CP of 1 unit = 1

Then the SP of 100 units = 112.5% of 100 and net percentage = 50% therefore, CP = 75 it means he uses 25% less weight

As he sold his article at CP then his profit is 33.33%.

Statement III alone is sufficient to answer the question.

Statement I or III alone are sufficient.
Question 7
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If in a certain code BAG = ICD, then TWO would be equal to?

A
QCF

B
QYV

C
QAM

D
QVY

Solution

Patter: In each group +2 is added to each letter of the first group to obtain the letter in the second group.

As,
Question 8
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Directions For Questions

Direction: Read the data carefully and answer the following question:

The pie chart shows the percentage of total employees working in 5 companies – A, B, C, D and E. The total number of employees is 25000.

...view full instructions

The number of employees in company E is how much more than the average number of employees in all companies?

A
1,000

B
550

C
1,500

D
500

Solution

∴ Number of employees in company E is 500 more than the average number of employees in all companies.
Question 9
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Directions For Questions

Direction: Read the data carefully and answer the following question:

The pie chart shows the percentage of total employees working in 5 companies – A, B, C, D and E. The total number of employees is 25000.

...view full instructions

What is the ratio of number of employees of company D to that of company E?

A
11 : 9

B
18 : 21

C
9 : 11

D
1 : 1

Solution

∴ The ratio number of employees of company D to the number of employees of company E is 9 : 11.
Question 10
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Directions For Questions

Direction: Read the data carefully and answer the following question:

The pie chart shows the percentage of total employees working in 5 companies – A, B, C, D and E. The total number of employees is 25000.

...view full instructions

Number of employees in company D is what percent of the number of employees in company C?

A
20%

B
125%

C
120%

D
220%

Solution

∴ Number of employees in company D is 120% of the number of employees in company C.