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Question : ABCD is a square inscribed in a circle of radius $r$. Then the total area (in square units) of the portions of the circle lying outside the square is:

Option 1: $\pi (r^{2}-4)$

Option 2: $2\pi (r ^{2}-1)$

Option 3: $\pi^{2} r(r-7)$

Option 4: $r^{2}(\pi -2)$

Team Careers360 17th Jan, 2024

Correct Answer: $r^{2}(\pi -2)$


Solution :

Let the radius of the circle be $r$ units.
Area of circle = $\pi r^2$
Diagonal of ABCD = BD = $2r$ units
Area of square = $\frac{1}{2}\times \text{(BD)}^2$
= $\frac{1}{2}\times 4r^2$
= $2r^2$
Required difference = Area of the circle – Area of

13 Views

Question : If $a^{3}+\frac{1}{a^{3}}=2$, then the value of $\frac{a^{2}+1}{a}$ is ($a$ is a positive number):

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 24th Jan, 2024

Correct Answer: 2


Solution : Given: $a^{3}+\frac{1}{a^{3}}=2$
⇒ $a^{3}+\frac{1}{a^{3}}=2$
⇒ $a^{6}+1 =2a^3$
⇒ $a^{6}-2a^3+1=0$
⇒ $(a^3-1)^2=0$
$a = 1$, the above equation is satisfied.
Now putting $a = 1$, in the equation, we get
$\frac{a^{2}+1}{a} = \frac{1^{2}+1}{1} = 2$
Hence, the correct answer is 2.

108 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete.
AEI_JL_QS_SS_ZXU

Option 1: BLSN

Option 2: SSUU

Option 3: SDMA

Option 4: ONSB

Team Careers360 25th Jan, 2024

Correct Answer: ONSB


Solution : Given:
AEI_JL_QS_SS_ZXU

To fill the series we have to divide the series – AEI_/ JL_Q / S_SS / _ZXU
Let's check each option –
First option: BLSN; AEIB / JLLQ / SSSS / NZXU (No pattern has been

9 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.
1, 2, 6, 24, 120, ?

Option 1: 360

Option 2: 720

Option 3: 600

Option 4: 640

Team Careers360 18th Jan, 2024

Correct Answer: 720


Solution : Given:
1, 2, 6, 24, 120, ?

Multiply the previous term of the series by consecutive natural numbers from 2 onwards.
1 × 2 = 2; 2 × 3 = 6; 6 × 4 = 24; 24 × 5 = 120; 120 × 6 =

291 Views

Question : 3 men or 5 women can do a work in 57 days. In how many days can 9 men and 4 women do that same work?

Option 1: 16 days

Option 2: 18 days

Option 3: 14 days

Option 4: 15 days

Team Careers360 24th Jan, 2024

Correct Answer: 15 days


Solution : According to the question,
3 men = 5 women
1 man = $\frac{5}{3}$ women
9 men = $9 \times \frac{5}{3}$ women = 15 women
Now the total work is done by = 15 women and 4 women = 19 women
Let the total work

19 Views

Question : Directions: In the following question a word is followed by four other words, one of which can be formed by using the letters of the given word. Find this word.
ENCOURAGEMENT

Option 1: GAME

Option 2: TEAR

Option 3: NECK

Option 4: MEAT

Team Careers360 22nd Jan, 2024

Correct Answer: NECK


Solution : Given:
ENCOURAGEMENT

Now, let's compare all the option words with the word ENCOURAGEMENT –
First option: GAME; All the letters of GAME are present in the word ENCOURAGEMENT.
Second option: TEAR; All the letters of TEAR are present in the word ENCOURAGEMENT.
Third option: NECK; 

45 Views

Question : In 2001, the price of a building was 80% of its original price. In 2002, the price was 60% of its original price. By what percentage did the price decrease?

Option 1: 15%

Option 2: 20%

Option 3: 25%

Option 4: 30%

Team Careers360 24th Jan, 2024

Correct Answer: 25%


Solution : Change in price = (80 – 60) = 20%
The base price of that year = 80%
Required Percentage $=\frac{20}{80} × 100 = 25\%$
Hence, the correct answer is 25%.

8 Views

Question : From which place did the Revolt of 1857 start?

Option 1: Agra

Option 2: Meerut

Option 3: Kanpur

Option 4: Delhi

Team Careers360 21st Jan, 2024

Correct Answer: Meerut


Solution : The correct option is Meerut.

The town of Meerut, which is situated in the state of Uttar Pradesh in northern India, was the starting point of the Revolt of 1857, sometimes referred to as the Indian Rebellion of 1857 or the First War of Independence.

8 Views

Question : The ____________ is an Act of the Parliament of the United Kingdom that partitioned British India into two new independent dominions of India and Pakistan in 1947.

Option 1: Industrial Disputes Act

Option 2: Government of India Act

Option 3: Indian Independence Act

Option 4: Rowlatt Act

Team Careers360 19th Jan, 2024

Correct Answer: Indian Independence Act


Solution : The correct option is the Indian Independence Act.

On July 18, 1947, the Indian Independence Act, an act of the British Parliament, was ratified by the monarch. It was essential to the decolonization of British India and the establishment of India and Pakistan

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