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14 Views

Question : If $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$, then what is the value of $\left(x^4+x^{-4}\right)$?

Option 1: 2542

Option 2: 2650

Option 3: 2452

Option 4: 2302

Team Careers360 11th Jan, 2024

Correct Answer: 2302


Solution : Given: $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$
Squaring both sides, we get,
⇒ $(x+\frac{1}{x})^2=(5 \sqrt{2})^2$
⇒ $x^2+\frac{1}{x^2}+2=50$
⇒ $x^2+\frac{1}{x^2}=48$
Again squaring both sides, we get:
⇒ $(x^2+\frac{1}{x^2})^2=48^2$
⇒ $x^4+\frac{1}{x^4}+2=2304$
$\therefore x^4+\frac{1}{x^4}=2302$
Hence, the correct answer is 2302.

21 Views

Question : The Veda which deals with the rituals is known as

Option 1: Rigveda

Option 2: Yajurveda

Option 3: Samaveda

Option 4: Atharvaveda

Team Careers360 16th Jan, 2024

Correct Answer: Yajurveda


Solution : The correct answer is Yajurveda.

The Yajurveda is a detailed manual on how to carry out religious rites and ceremonies properly. The Yajurveda is the Veda of prose mantras; its name is derived from yajus, which means prose mantra, and veda, which means knowledge.

83 Views

Question : Select the most appropriate option to substitute the underlined segment in the given sentence.
Any sort of unfair conduct is not tolerated in international sports tournaments as it can completely ruin an athlete’s career.
 

Option 1: straw in the eye

Option 2: hand in the mud

Option 3: foul play

Option 4: red handed

Team Careers360 25th Jan, 2024

Correct Answer: foul play


Solution : The correct choice is the third option.

Foul play is a term commonly used to describe dishonest or unsportsmanlike behaviour, especially when it comes to breaking the rules of a game or competition. It is well-established in the context of sports ethics, making it

17 Views

Question : Directions: Select the letter cluster that can replace the question mark (?) in the given letter cluster series.
UKS, ZPX, EUC, JZH, ?

Option 1: ODN

Option 2: OEM

Option 3: PEM

Option 4: ODM

Team Careers360 17th Jan, 2024

Correct Answer: OEM


Solution : Given:
UKS, ZPX, EUC, JZH, ?

Add 5 to each letter of the previous term to obtain the next term in the series –
UKSU + 5 = Z; K + 5 = P; S + 5 = X
ZPXZ +

14 Views

Question : Directions: Select the correct mirror image of the given figure, when the mirror is placed at AB as shown below.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

15 Views

Question : If $\sin A=-\frac{3}{5}, A$ lies in III quadrant, the value of $\sec A$ is:

Option 1: $-\frac{4}{5}$

Option 2: $-\frac{5}{4}$

Option 3: $-\frac{3}{4}$

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

Team Careers360 21st Jan, 2024

Correct Answer: $-\frac{5}{4}$


Solution : $\sin A=-\frac{3}{5}$
So, $\cos A = \sqrt{1-\sin^2 A}$
⇒ $\cos A= \sqrt{1-(\frac{3}{5})^2}$
⇒ $\cos A = \sqrt\frac{16}{25}$
$\therefore\cos A= \pm \frac{4}{5}$
Since it is 3rd quadrant, $\cos A = -\frac{4}{5}$
$\therefore\sec A = -\frac{5}{4}$
Hence, the correct answer is $-\frac{5}{4}$.

15 Views

Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct.
Your parcel should arrived at three days.

Option 1: arrive in three

Option 2: arrive in third

Option 3: No improvement

Option 4: arrive in the third

Team Careers360 12th Jan, 2024

Correct Answer: arrive in three


Solution : The correct option is the first option.

The verb arrived should be replaced with arrive, and the preposition in is used to indicate a period of time, such as, in three days and it correctly conveys the expected arrival time. The verb arrive

16 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : In the given figures, as we move from one to another, the number of triangles in each box increases by 1. Therefore, the next box will have 5 triangles.
So, the next box in the series will be –

Hence, the second option is correct.

8 Views

Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
ELP, HNS, KPV, ?

Option 1: NRY

Option 2: UXZ

Option 3: OXY

Option 4: SVW

Team Careers360 11th Jan, 2024

Correct Answer: NRY


Solution : Given:
ELP, HNS, KPV, ?

Add 3 to the positional value of the first and third letters and add 2 to the positional value of the second letter of the previous term to get the next term in the series.
First letter of the series→E

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