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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: One morning, Raju walked towards the sun. After some time, he turned left and again to his left. Which direction is he facing?

Option 1: North

Option 2: South

Option 3: East

Option 4: West

Team Careers360 13th Jan, 2024

Correct Answer: West


Solution : Given:
One morning, Raju walked towards the sun, i.e., he walked towards the east direction. (Because in the morning, the Sun is in the east direction.)
Firstly, we will draw the diagram as per the given instructions –

Now, we have to find which direction

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Question : Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 metres, the distance between the two men is: (take $\sqrt{3}=1.732$)

Option 1: $136.6$ metres

Option 2: $50\sqrt{3}$ metres

Option 3: $100\sqrt{3}$ metres

Option 4: $135.5$ metres

Team Careers360 24th Jan, 2024

Correct Answer: $136.6$ metres


Solution :
Let the positions of the two men be A and B.
Let PQ represent the tower.
$\angle$QAP = 30° and $\angle$QBP = 45°
QP = 50 m
We get two right-angled triangles △QPB and △QPA
Now, From the △QPA:
tan 30° = $\frac{PQ}{AP}$
⇒$\frac{1}{\sqrt{3}}=\frac{50}{AP}$

12 Views

Question : Directions: Select the related letter cluster from the given alternatives.
BDCE : FHGI :: RTSU : ?

Option 1: VYWX

Option 2: XYVW

Option 3: VWXY

Option 4: VXWY

Team Careers360 18th Jan, 2024

Correct Answer: VXWY


Solution : Given:
BDCE : FHGI :: RTSU : ?

Here, add 4 to the place value of each letter of BDCE to obtain the required code –
B + 4 = F; D + 4 = H; C + 4 = G; E + 4 =

20 Views

Question : Bangladesh was created in -

Option 1: 1970

Option 2: 1972

Option 3: 1973

Option 4: 1971

Team Careers360 11th Jan, 2024

Correct Answer: 1971


Solution : The correct option is 1971.

After a war of independence against Pakistan, Bangladesh became independent in 1971. After nine months of military conflict, this resulted in Bangladesh becoming a sovereign state on March 26, 1971. Every year on this day, the nation celebrates Independence Day.
 

659 Views

Question : In an examination of 7 papers of 100 marks each, there were 3 Mathematics papers, 2 English papers, and 2 Hindi papers. D gets average marks of 45, 55, and 60 in Mathematics, English, and Hindi, respectively. What are the average marks per paper?

Option 1: 56.5

Option 2: 52.1

Option 3: 55.6

Option 4: 54.1

Team Careers360 19th Jan, 2024

Correct Answer: 52.1


Solution : Number of Mathematics papers = 3
Average marks of D in Mathematics = 45
⇒ Total marks in Maths = 45 × 3 = 135
Number of English papers = 2
Average marks of D in English = 55
⇒ Total marks in English =

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Question : In March 2022, the Tripura government announced _______ reservation for women in government jobs.

Option 1: 20 per cent

Option 2: 27 per cent

Option 3: 10 per cent

Option 4: 33 per cent

Team Careers360 14th Jan, 2024

Correct Answer: 33 per cent


Solution : The correct answer is 33 per cent.

Union Home Minister Amit Shah visited the state on March 8 and introduced the "Tripura State Policy for Empowerment of Women 2022," which aims to empower women throughout the state. The Tripura administration has also

16 Views

Question : Which curve shows the inverse relationship between unemployment and inflation rates?

Option 1: Supply curve

Option 2: Indifference curve

Option 3: IS curve

Option 4: Phillips curve

Team Careers360 20th Jan, 2024

Correct Answer: Phillips curve


Solution : The correct answer is the Phillips curve.

Inflation and unemployment are inversely related, according to the Phillips curve. Both lower unemployment and higher inflation are related to each other. It is a visual depiction of how unemployment and inflation interact in an economy

16 Views

Question : The Balance of Payment Account of an economy is related to the ____________.

Option 1: agriculture sector

Option 2: external sector

Option 3: government sector

Option 4: private sector

Team Careers360 19th Jan, 2024

Correct Answer: external sector


Solution : The correct answer is the external sector.

An economy's balance of payments account and the external sector are connected. The three components of the balance of payments are the capital, the finance, and the current account. Due to the American economy's reliance on

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Question : If $\theta$ is a positive acute angle and $3(\sec^{2}\theta+\tan^{2}\theta)=5$, then the value of $\cos2\theta$ is:

Option 1: $\frac{1}{2}$

Option 2: $\frac{1}{\sqrt{2}}$

Option 3: $\frac{\sqrt{3}}{2}$

Option 4: $1$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{1}{2}$


Solution : Given: $3(\sec^{2}\theta+\tan^{2}\theta)=5$
⇒ $3\sec^{2}\theta+3\tan^{2}\theta=5$
⇒ $6\tan^{2}\theta+3=5$
⇒ $\tan^{2}\theta=\frac{1}{3}$
We know that,
$\cos\theta=\frac{1- \tan^{2}\frac{\theta}{2}}{1+ \tan^{2}\frac{\theta}{2}}$
So, $\cos2\theta=\frac{1- \tan^{2}\theta}{1+ \tan^{2}\theta}=\frac{1-\frac{1}{3}}{1+\frac{1}{3}}=\frac{\frac{2}{3}}{\frac{4}{3}}={\frac{1}{2}}$
Hence, the correct answer is $\frac{1}{2}$.

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