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22 Views

Question : A person was standing on a road near a mall. He was 1215 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which is in between him and the mall, was exactly in line of sight with the top of the mall. The tree's height is 20 m and it is 60 m away from him. How tall (in m) is the mall?

Option 1: 300

Option 2: 375

Option 3: 405

Option 4: 250

Team Careers360 19th Jan, 2024

Correct Answer: 405


Solution :
Let the height of the mall be AB.
In $\triangle DEC$,
$\tan\theta = \frac{DE}{CE}$
⇒ $\tan\theta = \frac{20}{60}$
⇒ $\tan\theta = \frac{1}{3}$
In $\triangle ABC$,
$\tan\theta = \frac{AB}{BC}$
⇒ $\frac{1}{3} = \frac{AB}{1215}$
⇒ AB = 405 m
Hence, the correct answer is 405.

37 Views

Question : If, for a non-zero $x, 5 x^2+7 x+5=0$, then the value of $x^3+\frac{1}{x^3}$ is:

Option 1: $\frac{496}{125}$

Option 2: $\frac{532}{343}$

Option 3: $\frac{125}{532}$

Option 4: $\frac{182}{125}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{182}{125}$


Solution : Given, $5 x^2+7 x+5=0$
⇒ $5x^2+5 = -7x$
Dividing both sides by $5x$, we get,
⇒ $x+\frac{1}{x}=-\frac{7}{5}$ -----------------(1)
Cubing both sides, we get,
⇒ $x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=-\frac{343}{125}$
⇒ $x^3+\frac{1}{x^3}+3(-\frac{7}{5})=-\frac{343}{125}$
⇒ $x^3+\frac{1}{x^3}=-\frac{343}{125}+\frac{21}{5}$
$\therefore x^3+\frac{1}{x^3}=\frac{182}{125}$
Hence, the correct answer is $\frac{182}{125}$.

13 Views

Question : Directions: Select the figure that will come next in the following figure series.

 

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the question figure –
1. The circle is shifted one position in an anticlockwise direction.
2. The triangle is shifted in one position in an anticlockwise direction.
So, following the above pattern, the required figure will be as follows –

Therefore, the figure in

20 Views

Question : Which of the following becomes the first district in India to cover 100% of households under the AB PMJAY- SEHAT scheme?

Option 1: Samba - Jammu and Kashmir

Option 2: Pratapgarh – Rajasthan 

Option 3: Kheda – Gujarat

Option 4: Mansa – Punjab

Team Careers360 25th Jan, 2024

Correct Answer: Samba - Jammu and Kashmir


Solution : The correct answer is Samba - Jammu and Kashmir.

The Samba district of the Jammu division in the Union Territory of Jammu and Kashmir has become the first district in India to cover 100% of households under the Ayushman Bharat

8 Views

Question : Cooking gas is a mixture of:

Option 1: methane and ethylene

Option 2: carbon dioxide and oxygen 

Option 3: butane and propane

Option 4: carbon monoxide and carbon dioxide 

Team Careers360 24th Jan, 2024

Correct Answer: butane and propane


Solution : The correct option is butane and propane.

Cooking gas typically refers to liquefied petroleum gas (LPG), which is a mixture of primarily two hydrocarbons: propane (C3H8) and butane (C4H10). These gases are commonly used

4 Views

Question : Directions: In the following question, select the word that cannot be formed using the letters of the given word.
PRECIPITATE

Option 1: PAIR

Option 2: PART

Option 3: RECITE

Option 4: PAIN

Team Careers360 18th Jan, 2024

Correct Answer: PAIN


Solution : Given:

PRECIPITATE

Let's compare all the option words with the given word.
First option: PAIR; All the letters of PAIR are present in the word PRECIPITATE.
Second option: PART; All the letters of PART are present in the word
PRECIPITATE.
Third option: RECITE;

4 Views

Question : Directions: In each of the following questions, Which answer figure will complete the series?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the given figures –
1. The number of small circles surrounding the small square is increased by one in each figure series as compared to the previous figure in an anticlockwise direction.
2. The position of small circles outside the sides of the square

17 Views

Question : In the given figure, the area of isosceles triangle $\text{PQT}$ is $128\;\mathrm{cm^2}$ and $\text{QT = PQ}$, $\text{PQ= 4 PS}$ and $\text{PT || SR}$. Then what is the area (in $\mathrm{cm^2}$ ) of the quadrilateral $\text{PTRS}$?

Option 1: $80$

Option 2: $64$

Option 3: $124$

Option 4: $72$

Team Careers360 25th Jan, 2024

Correct Answer: $64$


Solution : Given that $\mathrm{PQT}$ is an isosceles triangle with $\mathrm{QT = PQ}$, and $\mathrm{PQ= 4 PS}$.
The height of the triangle $\mathrm{PQT}$ is four times the height of the quadrilateral $\mathrm{PTRS}$.
The area of a triangle $=\frac{1}{2} \times \text{base} \times \text{height}$
The area of the triangle

51 Views

Question : Parts of a sentence are given below in jumbled order, except for the first part. Arrange the parts in the correct order to form a meaningful sentence.

It is...
A. who are continually trying to improve
B. not the least talented
C. their dialogue skills,
D. the most talented people

Option 1: DACB

Option 2: BADC

Option 3: CDBA

Option 4: ABDC

Team Careers360 18th Jan, 2024

Correct Answer: DACB


Solution : The correct choice is the first option.

Explanation: Starting with "It is..." (unseen but implied), the sentence's logical flow would be: 

  • D. "the most talented people"—introduces the subject of the sentence.
  • A. "who are continually trying to improve" describes talented people.
  • C. "their
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