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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If $\theta+\phi=\frac{\pi}{2}$ and $\sin\theta=\frac{1}{2}$, then the value of $\sin\phi$ is:

Option 1: $1$

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

Option 3: $\frac{1}{2}$

Option 4: $\frac{\sqrt{3}}{2}$

Team Careers360 20th Jan, 2024

Correct Answer: $\frac{\sqrt{3}}{2}$


Solution : $\theta+\phi=\frac{\pi}{2}=90°$---------(i)
Also, $\sin \theta = \frac{1}{2}=\sin 30°$
$⇒\theta =30°$
Putting $\theta = 30°$ in (i), we get:
$30° + \phi=90°$
$⇒\phi=60°$
So, $\sin \phi= \sin 60° = \frac{\sqrt{3}}{2}$
Hence, the correct answer is $\frac{\sqrt{3}}{2}$.

11 Views

Question : Select the word that is closest in meaning (SYNONYM) to the word given below.

UNBIASED

Option 1: UNCOMPLAINING

Option 2: CANDID

Option 3: SAPIENT

Option 4: HUMBLE

Team Careers360 24th Jan, 2024

Correct Answer: CANDID


Solution : The correct choice is the second option.

Explanation:

The word unbiased means just, or free from all prejudice. The word candid means open, straightforward, and honest. Both of these terms imply honesty and objectivity, which makes them closest to the meaning of the given options.

10 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".

Due to me being new (1) / to the city, I had (2) / difficulty in finding a job. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 19th Jan, 2024

Correct Answer: (1)


Solution : The error lies in the first part of the sentence.

The gerund "being" requires a possessive pronoun before it. In this case, the possessive pronoun should be "my".

Therefore, the correct sentence is: "Due to my being new to the city, I had difficulty in

25 Views

Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
According to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the

16 Views

Question : What is the product of the reaction when anhydrite undergoes hydration?

Option 1: Limonite

Option 2: Magnesite

Option 3: Kaolin

Option 4: Gypsum

Team Careers360 22nd Jan, 2024

Correct Answer: Gypsum


Solution : The correct answer is Gypsum.

When anhydrite (calcium sulfate) undergoes hydration, it forms calcium sulfate dihydrate, which is more commonly known as gypsum. The chemical reaction for this hydration process is as follows:

Anhydrite (Calcium Sulfate) + Water → Gypsum (Calcium Sulfate Dihydrate)

The product

25 Views

Question : Who invented the helicopter?

Option 1: Nicolaus Copernicus

Option 2: Igor Sikorsky

Option 3: Francis Cockrell

Option 4: Drinker

Team Careers360 22nd Jan, 2024

Correct Answer: Igor Sikorsky


Solution : The correct answer is Igor Sikorsky.

The first successful multi-motor aircraft and the first production helicopter were both created by Igor Sikorsky. He was inducted into the International Air and Space Hall of Fame in 1966. He was born in 1889 and was a

5 Views

Question : Directions: In the given question, select the related letter-cluster pair from the given alternatives.
MOK : KLG :: ? : ?

Option 1: FIM : DFI

Option 2: TMA : UNB

Option 3: KCN : JBM

Option 4: FSA : IVD

Team Careers360 23rd Jan, 2024

Correct Answer: FIM : DFI


Solution : Given:
MOK : KLG :: ? : ?

Like, M – 2 = K; O – 3 = L; K – 4 = G

Let's check the options –
First option: FIM : DFI→F – 2 = D; I – 3 = F;

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