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9 Views

Question : The mean proportional of $a$ and $b$ is $c$. What is the mean proportion of $a^2c$ and $b^2c$?

Option 1: $c$

Option 2: 3$c$

Option 3: $c^3$

Option 4: $c^2$

Team Careers360 22nd Jan, 2024

Correct Answer: $c^3$


Solution : $c^2 = ab$
where c is the mean proportion of a and b
Now, the mean proportion of $a^2c$ and $b^2c$
= $\sqrt{b^2c \times a^2c}$
= $a.b.c$
= $c^2 \times c$
= $c^3$
Hence, the correct answer is $c^3$.

20 Views

Question : In which field did Amartya Sen win the Nobel Prize?

Option 1: Micro Economics

Option 2: Welfare Economics

Option 3: Economic Growth Model

Option 4: Input Output Model

Team Careers360 24th Jan, 2024

Correct Answer: Welfare Economics


Solution : The correct answer is Welfare Economics.

Amartya Sen won the Nobel Prize in the year 1998 for Welfare Economics. Welfare Economics is a discipline of Economics that aims to examine economic policies in terms of their effects on community well-being. He was also awarded

168 Views

Question : The sum of the cubes of two given numbers is 10234, while the sum of the two given numbers is 34. What is the positive difference between the cubes of the two given numbers?

Option 1: 3484

Option 2: 3488

Option 3: 3356

Option 4: 8602

Team Careers360 22nd Jan, 2024

Correct Answer: 3484


Solution : $(a + b)^3= a^3+ b^3+ 3ab(a + b)$
$⇒(34)^3=10234+3ab(34)$
$⇒39304−10234 = 3ab(34)$
$⇒29070 = 102\times ab$
$⇒ab = \frac{29070}{102} = 285$
We know, $(a - b)^2= (a + b)^2 - 4ab$
$⇒(a - b)^2= 34^2 - 4 \times (285)$
$⇒(a - b)^2= 1156 -1140 =

23 Views

Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the fourth option figure.

Hence, the fourth option is

38 Views

Question : Comprehension:
Read the given passage and answer the questions that follow.
Climate policy must now put health at the centre and promote climate change mitigation policies that bring health benefits simultaneously. Health-focused climate policy would help bring about a planet that has cleaner air, more abundant and safer freshwater and food, more effective and fairer health and social protection systems, and, as a result, healthier people. Investments in clean energy will yield health gains that repay those investments twice over. There are proven interventions able to reduce emissions of short-lived climate pollutants, for instance, applying higher standards for vehicle emissions, which have been calculated to save approximately 2.4 million lives per year, through improved air quality and reduce global warming by about 0.5°C by 2050. The cost of renewable sources of energy has decreased significantly in the last few years, and solar energy is now cheaper than coal or gas in most major economies.
Question:
What is the ANTONYM for the word ‘intervention’, from the passage?

Option 1: Specific

Option 2: Evidence

Option 3: Non-involvement

Option 4: Data

Team Careers360 21st Jan, 2024

Correct Answer: Non-involvement


Solution : The correct answer is the third option. 

Explanation:  In the passage, the term intervention is used to refer to actions or measures taken to reduce emissions of short-lived climate pollutants. An antonym in this context would be a term that signifies not taking action

10 Views

Question : Select the most appropriate ANTONYM of the underlined word.

My teacher asked me to compress the file.

Option 1: Search

Option 2: Trace

Option 3: Enlarge

Option 4: Turn

Team Careers360 23rd Jan, 2024

Correct Answer: Enlarge


Solution : The correct choice is the third option.

Explanation: The term compress refers to the action of reducing the size or volume of a file. To find an antonym, we need to identify a word that signifies the opposite action, namely expanding or increasing the

25 Views

Question : The area of a regular hexagon with side '$a$' is:

Option 1: $\frac{3\sqrt3}{4}a^2$ sq. unit

Option 2: $\frac{12}{2\sqrt3}a^2$ sq. unit

Option 3: $\frac{9}{2\sqrt3}a^2$ sq. unit

Option 4: $\frac{6}{2\sqrt3}a^2$ sq. unit

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{9}{2\sqrt3}a^2$ sq. unit


Solution : If we break a regular hexagon with side '$a$', then we will get 6 equilateral triangles with sides '$a$'.
So, the area of a regular hexagon = 6 × (Area of an equilateral triangle)
We know that, the area of an equilateral triangle

21 Views

Question : If A's salary is 60% more than B's salary, then by what percentage is B's salary less than that of A?

Option 1: 45%

Option 2: 37.5%

Option 3: 47.7%

Option 4: 33.3%

Team Careers360 24th Jan, 2024

Correct Answer: 37.5%


Solution : A = B + 60% of B
A = 160% of B
A : B = 160 : 100 = 8 : 5
The required percentage = $\frac{\text{A's salary – B's salary}}{ \text{A's salary}}\times 100$
= $\frac{8-5}{8} \times 100 $
= 37.5%
Hence, the correct

11 Views

Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary.
1. Stone 2. Song 3. Sport 4. Singer 5. Strong

Option 1: 4, 3, 2, 1, 5

Option 2: 4, 2, 3, 1, 5

Option 3: 4, 1, 2, 3, 5

Option 4: 4, 2, 1, 5, 3

Team Careers360 25th Jan, 2024

Correct Answer: 4, 2, 3, 1, 5


Solution : Given:
1. Stone 2. Song 3. Sport 4. Singer 5. Strong

Step 1: Compare the first letter of each word. Since all the words start with the same letter S, move to the next letter.
Step 2: The second letters

11 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

They are so ______________, they could not put up a tent properly while camping.

Option 1: Red

Option 2: White

Option 3: Blue

Option 4: Green

Team Careers360 23rd Jan, 2024

Correct Answer: Green


Solution : The fourth option is the correct answer as "green" fits perfectly in the sentence. In the sentence, it means that the individuals lack the necessary skills to properly set up a tent while camping. "Green" is used to describe someone who is young and inexperienced

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