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18 Views

Question : Find the value of the following expression.
$\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$

Option 1: $5 \frac{22}{43}$

Option 2: $3 \frac{23}{67}$

Option 3: $4 \frac{44}{85}$

Option 4: $4 \frac{4}{5}$

Team Careers360 25th Jan, 2024

Correct Answer: $4 \frac{44}{85}$


Solution : Given: $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$
= $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{2}{8}\right)\right\}\right] \text { of } 8.8-1.2}{ \frac{25}{6} \div 2.5 \times 2 \div 10+\left(\frac{3}{8}\right)}$
= $\frac{\left[\frac{5}{8}-{\frac{1}{8}}\right] \text { of } 8.8-1.2}{ \frac{25}{6\times 2.5} \times \frac{2}{10}+\frac{3}{8}}$

13 Views

Question : Chabahar Port is developed by India in ___________.

Option 1: Thailand

Option 2: Iran

Option 3: Iraq

Option 4: Sri Lanka

Team Careers360 24th Jan, 2024

Correct Answer: Iran


Solution : The correct answer is Iran.

Chabahar port is located in Iran and is jointly developed by India and Iran. It is a strategic port located in the Gulf of Oman, and it forms a point in the international shipping routes. It will allow India

16 Views

Question : In a match, the average of runs scored by 7 players is 63. If the runs scored by 6 players are 130, 42, 24, 53, 45, and 54, then how many runs did the 7th player score?

Option 1: 93

Option 2: 90

Option 3: 85

Option 4: 87

Team Careers360 23rd Jan, 2024

Correct Answer: 93


Solution : Given:
The average runs scored by 7 players = 63
⇒ $\frac{\text{Total runs scored by 7 players}}{7}=63$
The runs scored by 6 players are 130, 42, 24, 53, 45, and 54.
⇒ $\frac{130+42+ 24+ 53+ 45+ 54+x{_7}}{7}=63$ [where $x{_7}$ are the runs scored by 7th

10 Views

Question : If $x^{4}+\frac{1}{x^{4}}=119$, then the values of $x^{3}+\frac{1}{x^{3}}$ are:

Option 1: $\pm 10\sqrt{13}$

Option 2: $\pm \sqrt{13}$

Option 3: $\pm 16\sqrt{13}$

Option 4: $\pm 13\sqrt{13}$

Team Careers360 21st Jan, 2024

Correct Answer: $\pm 10\sqrt{13}$


Solution : Given: $x^4+\frac{1}{x^4}=119$
Adding 2 on both sides,
⇒ $x^4+\frac{1}{x^4}+2=121$
⇒ $(x^2+\frac{1}{x^2})^2=121$
⇒ $(x^2+\frac{1}{x^2})=11,-11$
Since, $(x^2+\frac{1}{x^2})>0$,
⇒ $(x^2+\frac{1}{x^2})=11$
Adding 2 on both sides,
⇒ $x^2+\frac{1}{x^2}+2=13$
⇒ $(x+\frac{1}{x})^2=13$
⇒ $(x+\frac{1}{x})=\pm\sqrt{13}$
Cubing both sides,
⇒ $x^3+\frac{1}{x^3}+3(x)(\frac{1}{x})(x+\frac{1}{x})=\pm13\sqrt{13}$
⇒ $x^3+\frac{1}{x^3}+3(\pm\sqrt{13})=\pm13\sqrt{13}$
⇒ $x^3+\frac{1}{x^3}=\pm10\sqrt{13}$
Hence, the correct answer is $\pm10\sqrt{13}$.

14 Views

Question : A dozen pairs of socks quoted at Rs. 80 are available at a discount of 10%. How many pairs of socks can be bought for Rs. 24?

Option 1: 4

Option 2: 5

Option 3: 3

Option 4: 6

Team Careers360 22nd Jan, 2024

Correct Answer: 4


Solution : Given: A dozen pairs of socks quoted at Rs. 80 are available at a discount of 10%.
So, selling price is $80×\frac{90}{100}=72$
A dozen pairs of socks sold at Rs. 72.
Price of 1 pair is $\frac{72}{12}=Rs. 6$
So, in Rs. 24, he gets $\frac{24}{6}=4$

43 Views

Question : Select the most appropriate ANTONYM of the underlined word in the given sentence.
Everyone feels that he is pompous, but I know the underlying truth that he is a man of great understanding and love.

Option 1: Modest

Option 2: Lofty

Option 3: Grandiose

Option 4: Haughty

Team Careers360 25th Jan, 2024

Correct Answer: Modest


Solution : The first option is the correct answer.

In the context of the sentence, the word "pompous" suggests arrogance or excessive self-importance. "Modest" is the most suitable antonym because it denotes humility and a lack of arrogance, aligning with the idea that the person is not

8 Views

Question : Select the option that expresses the given sentence in active voice.

Nothing can be achieved without hard work.

Option 1: One has achieved nothing without hard work.

Option 2: One will achieve nothing without hard work.

Option 3: One could achieve nothing without hard work.

Option 4: One can achieve nothing without hard work.

Team Careers360 24th Jan, 2024

Correct Answer: One can achieve nothing without hard work.


Solution : The fourth option is the correct answer.

Active voice is a sentence structure where the subject performs the action expressed by the verb. In the provided transformation, "one can achieve" replaces "nothing can be achieved" making the subject ("one")

23 Views

Question : According to the Census 2011, the only Indian state having a negative decadal population growth rate between 2001-11 is:

Option 1: Nagaland

Option 2: Goa

Option 3: Sikkim

Option 4: Uttarakhand

Team Careers360 25th Jan, 2024

Correct Answer: Nagaland


Solution : The correct option is Nagaland.​​​​​​

As of the 2011 Census, the Indian state of Nagaland experienced a negative decadal population growth rate between 2001 and 2011. Factors such as migration, fertility rates, and socio-economic conditions contribute to demographic changes, impacting the population dynamics of

14 Views

Question : Directions: A paperboy cycles 10 km east, then turns south and cycles 3 km, then turns west and cycles 6 km, then turns to his right and cycles 3 km. Where is he now with reference to his starting position?

Option 1: 4 km west

Option 2: 14 km east

Option 3: 4 km east

Option 4: 14 km west

Team Careers360 24th Jan, 2024

Correct Answer: 4 km east


Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find distance and the final position with respect to the starting position –

The distance between starting position and end point = 10 – 6 = 4

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