Q. Which of the following is a key recommendation made by the author?
A.
To reduce reliance on fossil fuels.
B.
To increase carbon emissions.
C.
To ignore climate change.
D.
To focus solely on economic growth.
Show solution
Solution
The author recommends reducing reliance on fossil fuels as a primary strategy to combat climate change.
Correct Answer:
A
— To reduce reliance on fossil fuels.
Learn More →
Q. Which of the following is a key takeaway from the passage regarding CAT preparation?
A.
Focus solely on quantitative aptitude.
B.
Develop a comprehensive study plan.
C.
Rely on last-minute preparation.
D.
Avoid discussing strategies with peers.
Show solution
Solution
The passage stresses the importance of having a comprehensive study plan for effective CAT preparation.
Correct Answer:
B
— Develop a comprehensive study plan.
Learn More →
Q. Which of the following is a key term used in the passage that is crucial for understanding the main argument?
A.
Innovation
B.
Sustainability
C.
Tradition
D.
Obsolescence
Show solution
Solution
The term 'sustainability' is crucial for understanding the main argument, as it is central to the discussion.
Correct Answer:
B
— Sustainability
Learn More →
Q. Which of the following is a key theme of the passage?
A.
The inevitability of technological advancement.
B.
The importance of individual action in combating climate change.
C.
The role of government in regulating industries.
D.
The historical significance of environmental movements.
Show solution
Solution
The passage emphasizes that individual actions, when multiplied across society, can lead to significant changes in addressing climate issues.
Correct Answer:
B
— The importance of individual action in combating climate change.
Learn More →
Q. Which of the following is a method to solve a quadratic equation?
A.
Graphical method
B.
Completing the square
C.
Quadratic formula
D.
All of the above
Show solution
Solution
All of the mentioned methods can be used to solve a quadratic equation.
Correct Answer:
D
— All of the above
Learn More →
Q. Which of the following is a necessary condition for a number to be a multiple of 18?
A.
It must be even.
B.
It must be a multiple of 9.
C.
It must be a multiple of 3.
D.
It must be a multiple of 6.
Show solution
Solution
Since 18 = 2 × 9, being a multiple of 9 is necessary for a number to be a multiple of 18.
Correct Answer:
B
— It must be a multiple of 9.
Learn More →
Q. Which of the following is a necessary condition for a number to be divisible by 7?
A.
The last digit must be 0
B.
The number must be even
C.
Double the last digit and subtract it from the rest of the number
D.
The sum of the digits must be divisible by 7
Show solution
Solution
To check for divisibility by 7, you can double the last digit and subtract it from the rest of the number; if the result is divisible by 7, then the original number is also divisible by 7.
Correct Answer:
C
— Double the last digit and subtract it from the rest of the number
Learn More →
Q. Which of the following is a potential consequence of inaction on climate change mentioned in the passage?
A.
Increased biodiversity.
B.
Economic growth.
C.
Severe weather events.
D.
Improved public health.
Show solution
Solution
The passage mentions that inaction on climate change could lead to more frequent and severe weather events.
Correct Answer:
C
— Severe weather events.
Learn More →
Q. Which of the following is a potential consequence of poor resource allocation? (2023)
A.
Increased efficiency in production.
B.
Higher levels of employee satisfaction.
C.
Wastage of resources and reduced productivity.
D.
Improved market competitiveness.
Show solution
Solution
Poor resource allocation can lead to wastage of resources and reduced productivity, making option 2 the correct choice.
Correct Answer:
C
— Wastage of resources and reduced productivity.
Learn More →
Q. Which of the following is a potential consequence of poor selections, as discussed in the passage?
A.
Increased satisfaction in life.
B.
Enhanced creativity in problem-solving.
C.
Negative outcomes and regret.
D.
Greater efficiency in decision-making.
Show solution
Solution
The passage discusses that poor selections can lead to negative outcomes and regret, highlighting the importance of thoughtful decision-making.
Correct Answer:
C
— Negative outcomes and regret.
Learn More →
Q. Which of the following is a potential drawback of centralized resource allocation?
A.
Increased flexibility in resource distribution.
B.
Faster decision-making processes.
C.
Reduced responsiveness to local needs.
D.
Greater control over resource usage.
Show solution
Solution
A potential drawback of centralized resource allocation is reduced responsiveness to local needs, making option 2 the correct choice.
Correct Answer:
C
— Reduced responsiveness to local needs.
Learn More →
Q. Which of the following is a potential drawback of digital sum mentioned in the passage? (2023)
A.
It is too complex for practical use.
B.
It may lead to oversimplification of data.
C.
It is not widely recognized in the industry.
D.
It requires advanced mathematical knowledge.
Show solution
Solution
The passage mentions that a potential drawback of digital sum is that it may lead to oversimplification of data, which can be problematic.
Correct Answer:
B
— It may lead to oversimplification of data.
Learn More →
Q. Which of the following is a potential drawback of having a highly diverse team?
A.
Increased creativity
B.
Broader perspectives
C.
Potential for miscommunication
D.
Enhanced problem-solving
Show solution
Solution
While diversity brings many benefits, a potential drawback is the increased potential for miscommunication due to differing backgrounds and perspectives.
Correct Answer:
C
— Potential for miscommunication
Learn More →
Q. Which of the following is a potential solution to climate change mentioned in the passage?
A.
Increased fossil fuel consumption.
B.
Afforestation and reforestation.
C.
Reduction of renewable energy investments.
D.
Expansion of urban areas.
Show solution
Solution
The passage highlights afforestation and reforestation as effective strategies to combat climate change and enhance carbon sequestration.
Correct Answer:
B
— Afforestation and reforestation.
Learn More →
Q. Which of the following is a property of a parallelogram? (2023)
A.
All sides are equal.
B.
Opposite sides are equal and parallel.
C.
All angles are right angles.
D.
It has exactly one pair of parallel sides.
Show solution
Solution
In a parallelogram, opposite sides are equal and parallel, which is a defining property.
Correct Answer:
B
— Opposite sides are equal and parallel.
Learn More →
Q. Which of the following is a property of all polygons?
A.
They all have equal angles.
B.
They are all closed figures.
C.
They all have equal sides.
D.
They all can be inscribed in a circle.
Show solution
Solution
All polygons are defined as closed figures formed by a finite number of line segments.
Correct Answer:
B
— They are all closed figures.
Learn More →
Q. Which of the following is a property of all regular polygons? (2023)
A.
All sides are of different lengths.
B.
All interior angles are equal.
C.
They can have any number of sides.
D.
They are always convex.
Show solution
Solution
In a regular polygon, all sides and all interior angles are equal.
Correct Answer:
B
— All interior angles are equal.
Learn More →
Q. Which of the following is a property of an isosceles triangle?
A.
All sides are equal.
B.
Two sides are equal.
C.
It has one right angle.
D.
It has no equal sides.
Show solution
Solution
An isosceles triangle is defined as having at least two sides that are equal in length.
Correct Answer:
B
— Two sides are equal.
Learn More →
Q. Which of the following is a property of similar triangles?
A.
Their corresponding angles are equal.
B.
Their corresponding sides are equal.
C.
They have the same area.
D.
They are congruent.
Show solution
Solution
Similar triangles have equal corresponding angles, but their sides are in proportion, not necessarily equal.
Correct Answer:
A
— Their corresponding angles are equal.
Learn More →
Q. Which of the following is a quadratic equation?
A.
x + 1 = 0
B.
x^2 - 4x + 4 = 0
C.
2x - 3 = 0
D.
3x + 2 = 0
Show solution
Solution
A quadratic equation is one that can be expressed in the form ax^2 + bx + c = 0, which is satisfied by x^2 - 4x + 4 = 0.
Correct Answer:
B
— x^2 - 4x + 4 = 0
Learn More →
Q. Which of the following is a root of the polynomial P(x) = x^2 - 5x + 6?
Show solution
Solution
The roots of the polynomial can be found by factoring it as (x-2)(x-3) = 0, giving roots 2 and 3.
Correct Answer:
B
— 2
Learn More →
Q. Which of the following is a rule for determining if a number is divisible by 11?
A.
The sum of the digits is even
B.
The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11
C.
It ends in 1
D.
It is a multiple of 10
Show solution
Solution
A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11.
Correct Answer:
B
— The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11
Learn More →
Q. Which of the following is a rule for determining if a number is divisible by 3?
A.
The last digit is 0
B.
The sum of the digits is divisible by 3
C.
The number is even
D.
The number ends in 3
Show solution
Solution
A number is divisible by 3 if the sum of its digits is divisible by 3.
Correct Answer:
B
— The sum of the digits is divisible by 3
Learn More →
Q. Which of the following is a rule for divisibility by 11?
A.
The last digit must be even
B.
The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be 0 or divisible by 11
C.
The number must end in 1
D.
The number must be a two-digit number
Show solution
Solution
For a number to be divisible by 11, the difference between the sum of the digits in odd positions and the sum of the digits in even positions must be 0 or divisible by 11.
Correct Answer:
B
— The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be 0 or divisible by 11
Learn More →
Q. Which of the following is a rule for divisibility by 4?
A.
The last digit must be 0
B.
The last two digits must form a number divisible by 4
C.
The sum of the digits must be even
D.
The number must be even
Show solution
Solution
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Correct Answer:
B
— The last two digits must form a number divisible by 4
Learn More →
Q. Which of the following is a solution to the equation 2x - 3 = 7?
Show solution
Solution
Adding 3 to both sides gives 2x = 10, then dividing by 2 gives x = 5.
Correct Answer:
B
— 5
Learn More →
Q. Which of the following is a solution to the equation 3x - 9 = 0?
Show solution
Solution
To solve for x, add 9 to both sides and then divide by 3: 3x = 9, thus x = 3.
Correct Answer:
B
— 3
Learn More →
Q. Which of the following is a solution to the inequality 3x - 7 < 2?
A.
x < 3
B.
x < 2
C.
x > 3
D.
x > 2
Show solution
Solution
Solving the inequality gives 3x < 9, thus x < 3.
Correct Answer:
A
— x < 3
Learn More →
Q. Which of the following is a true statement about prime numbers?
A.
Every prime number is a factor of 1.
B.
Every prime number is a multiple of itself.
C.
All prime numbers are even.
D.
Prime numbers have exactly two distinct positive divisors.
Show solution
Solution
Prime numbers are defined as having exactly two distinct positive divisors: 1 and the number itself.
Correct Answer:
D
— Prime numbers have exactly two distinct positive divisors.
Learn More →
Q. Which of the following is a true statement regarding multiples?
A.
All multiples of a number are even.
B.
Multiples of a number can be negative.
C.
The first multiple of any number is the number itself.
D.
Multiples of a number are always prime.
Show solution
Solution
The first multiple of any number is indeed the number itself, while the other statements are false.
Correct Answer:
C
— The first multiple of any number is the number itself.
Learn More →
Showing 4891 to 4920 of 5536 (185 Pages)