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32 Views

Question : Directions: In the following question, select the related number from the given alternatives.
32 : 28 :: 160 : ?

Option 1: 140

Option 2: 120

Option 3: 110

Option 4: 80

Team Careers360 25th Jan, 2024

Correct Answer: 140


Solution : Given:
32 : 28 :: 160 : ?

Multiply the first number of the first pair by 5 to get the first number of the second pair→32 × 5 = 160
Similarly, multiply the second number of the first pair by 5 to get the

16 Views

Question : Who started the Tamil weekly magazine "Kudi Arasu"?

Option 1: C. Natesa Mudaliar

Option 2: Periyar E. V. Ramasamy

Option 3: T. M. Nair

Option 4: Chinnaswami Subramania Bharati

Team Careers360 25th Jan, 2024

Correct Answer: Periyar E. V. Ramasamy


Solution : The correct answer is Periyar E. V. Ramasamy.

Periyar E. V. Ramasamy started the Tamil weekly magazine “Kudi Arasu or Kudiyarasu” in the Madras Presidency, present-day Tamil Nadu. It was started by Periyar E. V. Ramasamy in 1925. It was banned

12 Views

Question : $\frac{1+\sin \theta}{\cos \theta}$ is equal to which of the following (where $\left.\theta \neq \frac{\pi}{2}\right)?$

Option 1: $\frac{1+\cos \theta}{\sin \theta}$

Option 2: $\frac{\tan \theta+1}{\tan \theta-1}$

Option 3: $\frac{\tan \theta-1}{\tan \theta+1}$

Option 4: $\frac{\cos \theta}{1-\sin \theta}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{\cos \theta}{1-\sin \theta}$


Solution : Given, $\frac{1+\sin \theta}{\cos \theta}$
Multiplying numerator and denominator by $(1-\sin \theta)$
= $\frac{(1+\sin \theta)\times (1-\sin \theta)}{\cos \theta\times (1-\sin \theta)}$ 
= $\frac{(1-\sin^2 \theta)}{\cos \theta\times (1-\sin \theta)}$ 
= $\frac{\cos^2 \theta}{\cos \theta\times (1-\sin \theta)}$
= $\frac{\cos \theta}{1-\sin \theta}$
Hence, the correct answer is $\frac{\cos \theta}{1-\sin \theta}$.

21 Views

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Due to the fact that Shakespeare didn't produce an autobiography, (1)___________ is known about many parts of his life and some of it remains a (2)__________! Sometime before 1590, Shakespeare left Stratford. But where did he go? Again, it is not clear why, although one story suggests it is because he had been forced to run away from home after poaching deer! Little is known about what he did but eventually he travelled to London, which was the biggest city in England, though much (3)_________ than it is today. London provided opportunities unavailable anywhere else in the country and many poor people went hoping to make their fortunes. Importantly for Shakespeare, London had theatres! The first of these was opened in 1576 and by 1590 there were several 'playhouses' including the Rose, the Theatre and the Curtain. (4)_____________ Shakespeare became an actor. However, he was soon writing plays too and by 1592, Shakespeare's work was being spoken about. One (5)__________ writer - Robert Greene - wrote rude things about this newcomer and referred to him as an 'upstart crow'. Disaster struck in 1593 when a terrible disease called the plague hit London. Thousands of people became unwell and died and this caused the theatres to shut. Rather than giving up, Shakespeare turned to writing poems rather than plays and soon the theatres were reopened.

Question:

Select the most appropriate option to fill in the blank no. 4.

Option 1: Primitively

Option 2: Initially

Option 3: Firstly

Option 4: First of all

Team Careers360 24th Jan, 2024

Correct Answer: Initially


Solution : The correct choice is the second option.

Initially is a suitable choice because it accurately conveys the idea that becoming an actor was one of the early stages or starting points in Shakespeare's career trajectory. It aligns with the chronological progression of events described

16 Views

Question : Directions: Three of the following letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?

Option 1: KPW

Option 2: QGM

Option 3: DIP

Option 4: SXE

Team Careers360 25th Jan, 2024

Correct Answer: QGM


Solution : Let's check each option –
First option: KPW; K + 5 = P, P + 7 = W
Second option: QGM; Q – 10 = G, G + 6 = M
Third option: DIP; D + 5 = I, I + 7 = P
Fourth

23 Views

Question : Two circles having radii of $r$ units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is:

Option 1: $\sqrt{2}r\ \text{units}$

Option 2: $\sqrt{3}r\ \text{units}$

Option 3: $\sqrt{5}r\ \text{units}$

Option 4: $r\ \text{units}$

Team Careers360 25th Jan, 2024

Correct Answer: $\sqrt{3}r\ \text{units}$


Solution :
Let $r$ be the radius of each circle.
AB is the common chord.
So, OA = OC = $r$
OE = $\frac{1}{2}×$OC = $\frac{1}{2}×r$
Using Pythagoras theorem on $\triangle$AOE, we get,
OA = OE2 +AE2
⇒ AE = $\sqrt{r^2-(\frac{r}{2})^2}=\frac{\sqrt{3}r}{2}$
AB =

46 Views

Question : Directions: In a certain code language, EXAMINATION is written as ATIONNEXAMI. How is TENACIOUS written in that code language?

Option 1: ISOUCANET 

Option 2: IOSUCTENA

Option 3: IOUSCTENA

Option 4: IOUSTCENA

Team Careers360 25th Jan, 2024

Correct Answer: IOUSCTENA


Solution : Given:
EXAMINATION is written as ATIONNEXAMI.

The letters before and after the middle letter N have interchanged places.

Similarly, for TENACIOUS, the middle letter is C.
Interchanging the positions of letters before and after the letter C, we get –

So, TENACIOUS can be written

11 Views

Question : Select the correctly spelt word.

Option 1: Suspicion

Option 2: Susspicion

Option 3: Susppicion

Option 4: Suspicon

Team Careers360 24th Jan, 2024

Correct Answer: Suspicion


Solution : The correct choice is the first option.

The correctly spelt word is suspicion.

Suspicion refers to a feeling or belief that someone is guilty of something or that something is wrong without any proof or evidence. It's a state of doubt or mistrust

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