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Question : ABCD is a square. Draw an equilateral $\triangle $PBC on side BC considering BC is a base and an equilateral $\triangle $QAC on diagonal AC considering AC is a base. Find the value of $\frac{\text{area of $\triangle PBC$}}{\text{area of $\triangle QAC$}}$.

Option 1: $\frac{1}{2}$

Option 2: $1$

Option 3: $\frac{1}{3}$

Option 4: $\frac{1}{4}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{1}{2}$


Solution :
Let the side length of the square ABCD as $a$. 
The area of an equilateral triangle with $s$ as side length $=\frac{\sqrt{3}}{4}s^2$
The area of $\triangle $PBC,
$=\frac{\sqrt{3}}{4}a^2$
The area of $\triangle $QAC,
$=\frac{\sqrt{3}}{4}(a\sqrt{2})^2 = \frac{\sqrt{3}}{4} \times 2a^2 = \frac{\sqrt{3}}{2}a^2$
So, $\frac{\text{Area of $\triangle$PBC}}{\text{Area of

133 Views

Question : What is Kalbaisakhi?

Option 1: Pre-monsoon showers and thunderstorms

Option 2: Cold waves and rains

Option 3: Snowfall and hail

Option 4: Heatwaves and loo

Team Careers360 24th Jan, 2024

Correct Answer: Pre-monsoon showers and thunderstorms


Solution : The correct answer is Pre-monsoon showers and thunderstorms.

A kalbaisakhi, also known as a nor'wester or bordoisila in Assam, is a localised rainfall and thunderstorm phenomenon occurring in Bangladesh and Indian states like Bihar, Jharkhand, Odisha, Tripura, Assam and West Bengal.

18 Views

Question : Choose the word that can substitute for the given group of words.

Affecting all or most people, places, things, etc.

Option 1: Particular

Option 2: Pertain

Option 3: Genre

Option 4: General

Team Careers360 24th Jan, 2024

Correct Answer: General


Solution : The correct choice is the fourth option.

The word that can substitute for the given group of words "affecting all or most people, places, things, etc." is general.

The word refers to something widespread, common, or universal. 

The meanings of the other options are as

5 Views

Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct.
His words wield tremendous influence between his followers.

Option 1: among his followers

Option 2: within his followers

Option 3: No improvement

Option 4: in his following

Team Careers360 22nd Jan, 2024

Correct Answer: among his followers


Solution : The correct choice is the first option.

Explanation:
The original sentence uses between incorrectly; it should be replaced with among to denote the relationship between someone and a group.

Among is used when referring to relationships within a group, which fits the context

19 Views

Question : Which command is not used to switch off the computer?

Option 1: Turn off

Option 2: Log off

Option 3: Shut down

Option 4: Hibernate

Team Careers360 25th Jan, 2024

Correct Answer: Hibernate


Solution : The correct option is Hibernate.

Hibernate is a power-saving mode that enables the computer to preserve its present configuration on the hard drive before turning it down entirely. Any open documents or apps will continue where they left off when the computer is turned

8 Views

Question : The minimum value of $4\tan^{2}\theta+9\cot^{2}\theta$ is equal to:

Option 1: 0

Option 2: 5

Option 3: 12

Option 4: 13

Team Careers360 21st Jan, 2024

Correct Answer: 12


Solution : Given: $4\tan^{2}\theta+9\cot^{2}\theta$
The minimum value of $a\tan^{2}\theta+b\cot^{2}\theta=2\sqrt{ab}$
Comparing with the above expression, we get:
$a=4$ and $b=9$
The minimum value of $4\tan^{2}\theta+9\cot^{2}\theta=2\sqrt{9×4}=12$
Hence, the correct answer is 12.

16 Views

Question : The Behdienkhlam festival is primarily celebrated in the state of:

Option 1: Uttar Pradesh
 

Option 2: West Bengal

Option 3: Meghalaya

Option 4: Jharkhand

Team Careers360 22nd Jan, 2024

Correct Answer: Meghalaya


Solution : The correct answer is Meghalaya.

The Behdienkhlam Festival is one of the most common celebrations in Meghalaya. "Behdienkhlam" means "drive away the wicked spirits/demons of plagues/cholera." It is observed before the rainy season, which also signifies the end of the planting season. The purpose

14 Views

Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
0.5, 2, 4.5, 8, 12.5, ?

Option 1: 17 

Option 2: 16

Option 3: 16.5

Option 4: 18

Team Careers360 24th Jan, 2024

Correct Answer: 18


Solution : Given:
0.5, 2, 4.5, 8, 12.5, ?

In the above-given series, add the increasing order of the number with the difference of 1, starting from 1.5 to the previous term to get the next term –
0.5 + 1.5 = 2; 2 + 2.5 =

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