General Aptitude Test

Result

General Aptitude Test - 4

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Weekly Quiz Competition

Question 1
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Mr. X speaks _________ Japanese _________ Chinese.

A
neither / or

B
either / nor

C
neither / nor

D
also / but
Solution
The correct answer is 'neither / nor'.

Key Points
- In the given blanks, it can be understood that conjunctions are to be filled.
- We will use the alternative conjunctions 'neither/nor' as we can understand that Mr. X is unable to speak both languages.
The complete sentence will be: Mr. X speaks neither Japanese nor Chinese.
- Hence, option 3 is the correct answer.
Additional Information
- When we have to choose one out of two given alternatives, we use alternative conjunctions such as either/or, neither/nor, else, or otherwise.
  
  For eg.- Walk slowly on the ice, otherwise, you'll fall.
Question 2
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If G = E < D < R and E = Y > K > Q, then which of the following options is NOT correct?

A
Y < R

B
R > Q

C
G < Q

D
G < R

Solution

From the given information:
G = E < D < R and E = Y > K > Q
We consider each option:
Option 1) Y < R
Since E < R and E = Y then Y< R. It is correct.

Option 2) R > Q
Since R > E & E = Y which means R > Y,
Now Y > Q and R > Y then R > Q. It is correct.

Option 3) G < Q
We have G = E and E = Y so G = Y,
Now Y > Q then G > Q. It is incorrect.

Option 4) G < R
Since G = E and E < R then G < R. It is correct.

Hence the correct answer is option 3)
Question 3
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Find the ratio of the bowling average and strike rate of a bowler playing an ODI match who bowls 6 overs, gives away 120 runs, and takes 4 wickets.

A
10 : 3

B
3 : 10

C
9 : 4

D
4 : 9

Solution

Given:

Balls to be bowled = 6 overs = 36 balls

Runs = 120 runs

Number of wickets = 4 wickets

Formula used:

Bowling strike rate = number of balls bowled per wicket taken

Bowling average = number of runs conceded per wicket taken

Calculation:

According to question,

⇒ Bowling average = 120/4 = 30

⇒ Bowling strike rate = 36/4 = 9

Required ratio = 30 : 9

⇒ 10 : 3

∴ The ratio between the bowling average and strike rate of bowler is 10 : 3
Question 4
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Directions For Questions

The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.

...view full instructions

What is the maximum number of squares without a “hole in the interior” that can be formed within the 4 × 4 grid using the unit squares as building blocks?

A
15

B
20

C
21

D
26

Solution

According to the question,

Total number of squares = 16

Number of squares without hole,

4 × 4 - 1 = 16 - 1 = 15,

∴ the total number of 1 × 1 squares (without hole) = 15

Now,

the total number of 2 × 2 squares (without hole) = 5

Total number of squares = 15 + 5 = 20
Question 5
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Solve the inequation:

A
(3, 9)

B
(3, ∞)

C
(3, 6) ∪ (6, 9)

D
(3, 6) ∩ (6, 9)

Solution
Question 6
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In the figure given below, if the area of triangle BCD is 28% of the area of parallelogram ACDE, then find the ratio of the lengths of the parallel sides of the trapezium ABDE.

A
11 ∶ 25

B
17 ∶ 25

C
21 ∶ 50

D
29 ∶ 50

Solution

Given:

Area of triangle BCD is 28% of the area of parallelogram ACDE

Formula used:

Area of parallelogram = Base × Height of parallelogram

Area of trapezium = 1/2 × sum of parallel sides × perpendicular distance between parallel sides

Calculation:

Let the length of the parallel sides AB and DE be ‘a’ units and ‘b’ units respectively and the height of the parallelogram AF be ‘h’ units, as shown below

Let the area of parallelogram ACDE be x sq. units

Area of parallelogram = Base × Height of parallelogram

⇒ Area of parallelogram ACDE = DE × AF = bh sq. units

Area of trapezium = 1/2 × sum of parallel sides × perpendicular distance between parallel sides

⇒ Area of trapezium ABDE = 1/2 × (a + b) × h = (ah + bh)/2 sq. units

Now,

Area of trapezium ABDE = Area of parallelogram ACDE – Area of triangle BCD

According to the question,

Area of triangle BCD = 28% of x

⇒ Area of triangle BCD = 7x/25

⇒ Area of trapezium ABDE = x – 7x/25

⇒ Area of trapezium ABDE = 18x/25

⇒ (ah + bh)/2 = (18/25) × bh

⇒ 25ah + 25bh = 36bh

⇒ 25ah = 11bh

⇒ 25a = 11b

⇒ a/b = 11/25

∴ Ratio of lengths of parallel sides of trapezium ABDE = 11 ∶ 25
Question 7
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An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.

If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

A
P and Q

B
Q

C
Q and S

D
R and S

Solution

If a person will stand on ‘P’ then he/she can’t see the visibility side of R and vice versa.

But if the security guard will be stand at Q and S then he will be whole 360°

Security guard posting at Q and S can watch entire space of gallery.
Question 8
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Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.

Which one of the following is the correct logical inference based on the information in the above passage?

A
Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous

B
Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects

C
Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous

D
Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence
Solution
The correct answer is 'Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence'.

Key Points
- Let's refer to the passage:
  
  'In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population.'
  
  'It remains to be seen if this novel approach has unforeseen consequences.'
- From the above-mentioned statements, it is evident that the correct logical inference is that 'using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence'.
- Hence, option 4 is the correct answer.
Additional Information
- The word 'novel', here, is being used to denote something that is interestingly new or unusual.
  
  For eg.- He hit on a novel idea to solve his financial problems.
Question 9
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Directions For Questions

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.

...view full instructions

Statement of P: R has copied in the exam.

Statement of Q: S has copied in the exam.

Statement of R: P did not copy in the exam.

Statement of S: Only one of us is telling the truth.

Statement of T: R is telling the truth.

The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is

A
R

B
P

C
Q

D
T

Solution

Statement of S: Only one of us is telling the truth.

As, given in the question 'S' is telling the truth.

Let, us suppose that

T is telling the truth,

that means R is telling the truth.

and according to R, we know that P did not copy in the exam.

But if T is telling the truth then that means, R is also telling the truth and then that means 2 of them are telling the truth, which is not possible. Hence T is not telling the truth and hence R is not truthful as well.

" P did not copy in the exam" is hence false.

Which means "P did copy in the exam".
Question 10
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Directions For Questions

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.

Let X, Y and Z represent the following operations:

X: rotation of the square by 180 degree with respect to the S-Q axis.

Y: rotation of the square by 180 degree with respect to the P-R axis.

Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.

...view full instructions

Consider the following three distinct sequences of operation (which are applied in the left to right order).

(1) XYZZ

(2) XY

(3) ZZZZ

Which one of the following statements is correct as per the information provided above?

A
The sequence of operations (1) and (2) are equivalent

B
The sequence of operations (1) and (3) are equivalent

C
The sequence of operations (2) and (3) are equivalent

D
The sequence of operations (1), (2) and (3) are equivalent

Solution