General Aptitude Test

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General Aptitude Test - 2

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Question 1
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The latter part of the book was the ______ to learn.

A
More hard

B
Harder

C
Hardest

D
Most hardest
Solution
The correct answer is option 3 i.e. hardest.

Explanation:

There are three degrees of adjectives-
- Positive degree- It is the base form of the adjective.
  
  Eg- He is very old.
- Comparative degree- It is used while making a comparison between two things or people.
  
  Eg- He is older than me.
- Superlative degree- It is used while making a comparison of one thing with many other things or while expressing a thing of the highest intensity.
  
  Eg- I am the oldest in my family.
- Since 'the' is present before the blank, it is giving us an idea that superlative degree should be used here.
- Hence, among the options 'hardest is the most appropriate answer.
Important Point:

The three forms of the adjective 'hard' are- hard, harder, and hardest. 'More harder' is not an appropriate form and is not generally used.
Question 2
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The area of a circle and a square is equal. Which one of the following is true?

A
Perimeter of square is greater than the circle.

B
Perimeter of circle is greater than square.

C
Both has same perimeter.

D
None of the above.

Solution
Question 3
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A man travels along two paths of a circle. In path 1 he travels along the diameter and in path 2 he travels along the circumference of a circle. In both conditions, he returns back to the same point. The speed while traversing along the second path is π/2 times the first one.

A
Time taken by path II is greater than path I.

B
Time taken by path I is greater than path II.

C
Time taken is same in both cases

D
No relation can be made.

Solution

Concept:

While travelling along the diameter, distance covered will be "2d".

Calculation:

Given:

Case 1:

Distance D₁ = 2d and speed S₁ = S

Case 2:
Question 4
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A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

A
12

B
15

C
18

D
19

Solution

A test has twenty questions worth 100 marks in total.

There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each.

Let the number of multiple choice questions are x and the number of essay questions are y.

x + y = 20

and 3x + 11y = 100

By solving the above two equations, we get

x = 15, y = 5

So, the number of multiple choice questions = 15
Question 5
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Directions For Questions

In the question below are given three statements followed by two conclusions I, II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

...view full instructions

Statements:

All poems are letter.

Some letters are draft.

No draft is chat.

Conclusions:

I. Some letters are not chat.

II. Some poems are draft.

A
Only I follows

B
Only II follows

C
Both I and II follow

D
Neither I nor II follow

Solution

Important Points

Concept:

1) We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.

2) The possibility case can be considered to be "false" in "definite case".

3) In Possibility case, either "can" or "possible" word must be present.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. Some letters are not chat → True (Some letters are draft and no draft is chat)

II. Some poems are draft → False (It is possible but not definite)

Hence, only I follows is the correct answer.

Additional Information
Question 6
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What should come at the place of ? in the following number series?

24, 96, 48, ?, 96, 384, 192, 768, 384

A
24

B
96

C
128

D
192

Solution

The series is obtained by multiplying by 4 and dividing by 2 alternatively

⇒ 24 × 4 = 96

⇒ 96 ÷ 2 = 48

⇒ ? = 48 × 4 = 192

⇒ 192 ÷ 2 = 96

⇒ 96 × 4 = 384

⇒ 384 ÷ 2 = 192

⇒ 192 × 4 = 768

⇒ 768 ÷ 2 = 384
Question 7
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Directions For Questions

Read the following passage and find out the inference stated through the passage.

As per the signs put up by the Mumbai Metropolitan Regional Developmental Authority (MMRDA), the metro construction will be started from January 1st due to which a lot of roads in Colaba, Bandra and Seepz will be blocked and the cars will be diverted to another road. The construction will go on for 3 years till the underground metro system work is completed.

...view full instructions

Which of the following statements can be inferred from the above passage?

A
The MMRDA have a solution to the blockage of roads due to the metro construction.

B
There is going to be a lot of traffic.

C
There were major accidents on the road and thus the roads will be blocked.

D
The roads will be blocked all over the city.

Solution

As per the passage, the metro construction will cause the blockage of many roads but the MMRDA have a solution to this, they have already started diverting the cars to another road to help with transportation in spite of the major metro construction. Thus option 1 is the right option.
Question 8
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Directions For Questions

The following pie chart shows the percentage distribution of runs scored by a batsman in a Test inning.

...view full instructions

If a batsman has scored a total of 306 runs, how many 4s and 6s did he hit?

A
32 and 2, respectively

B
33 and 1, respectively

C
33 and 2, respectively

D
31 and 3, respectively

Solution

Given that the total number of runs scored by the batsman is 306.

From the given pie chart, the total number of runs scored by hitting only 4’s is:
Question 9
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A circle with radius 2 is placed against a right angle as shown. Another smaller circle is placed in the gap between the circle and the right angle. What is the radius of smaller circle?

A
3 − 2√2

B
4 − 2√2

C
6 + 4√2

D
6 − 4√2

Solution

Let r = radius of small circle

OP = 2 - r

O'P = 2 - r

OO’ = r + 2

From Pythagoras theorem

(r + 2)² = (2 - r)² + (2 - r)²

r² + 4 + 4r = (4 + r² - 4r)2

⇒ r = 6 ± 4√2

r = 6 + 4√2 cannot be correct because r < 2

So r = 6 - 4√2
Question 10
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Which of the following pair can be sued to make a meaningful sentence given below?

Paradoxically, the effects of Vardah (the cyclone) were both _______ and ______, it demolished homes and businesses in its wake but it spurred an economic revival by creating jobs for many previously unemployed workers.

A
Destructive, constructive

B
Empirical, scientific

C
Practical, theoretical

D
Fearsome, dreaded

Solution

Use of ‘Paradoxically’ in the first clause and ‘but’ in the second clause point to the use of words that are in contrast to each other. The pair of words in option ‘A’ is most suitable for completing this sentence.