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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\sec\theta+\tan\theta=5$, then find the value of $\tan\theta$.

Option 1: $\frac{5}{12}$

Option 2: $\frac{13}{5}$

Option 3: $\frac{13}{3}$

Option 4: $\frac{12}{5}$

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{12}{5}$


Solution : Given: $\sec\theta+\tan\theta=5$--------------------(equation 1)
We know,
$\sec^2\theta-\tan^2\theta=1$
⇒ $(\sec\theta+\tan\theta)(\sec\theta-\tan\theta)=1$
⇒ $(5)(\sec\theta-\tan\theta)=1$
⇒ $(\sec\theta-\tan\theta)=\frac{1}{5}$----------------------(equation 2)
Now, solving equations 1 and 2 we get,
$\tan\theta=\frac{12}{5}$
Hence, the correct answer is $\frac{12}{5}$.

5 Views

Question : Direction: In the following question, select the missing number from the given responses.

7 8 5
6 9 ?
2 3 6
84 216 900

 

Option 1: 90

Option 2: 70

Option 3: 65

Option 4: 30

Team Careers360 24th Jan, 2024

Correct Answer: 30


Solution : Given: 

7 8 5
6 9 ?
2 3 6
84 216 900

In the first column, 7 × 6 = 42 → 42 × 2 = 84

In the second column, 8 × 9 = 72 → 72 × 3 = 216

In the

10 Views

Question : Identify the sealed glass vacuum tube containing an electron beam that is focused on a phosphor-coated glass screen when light is emitted.

Option 1: Cathode ray tube

Option 2: Flat array tube

Option 3: Light Emitting Diode tube

Option 4: Liquid Crystal Display tube

Team Careers360 19th Jan, 2024

Correct Answer: Cathode ray tube


Solution : The correct option is a Cathode ray tube.

The sealed glass vacuum tube you are describing is commonly known as a Cathode Ray Tube (CRT). In a CRT, an electron beam is generated at the cathode and is focused using electromagnetic fields

6 Views

Question : Which of the following does not fall under the Fundamental Duties in the Constitution of India?

Option 1: Safeguard public property and abjure violence

Option 2: Cherish and follow the noble ideals that inspired the national struggle for freedom

Option 3: Exercise adult franchise

Option 4: Uphold and protect the sovereignty, unity and integrity of India

Team Careers360 15th Jan, 2024

Correct Answer: Exercise adult franchise


Solution : The correct answer is the Exercise of adult franchise.

Directive Principles of State Policy (DPSP) comes under Part IV and from Article 36 to Article 51. Exercising an adult franchise is not one of the DPSPs. It is under Article 326 of the

25 Views

Question : Select the correct statement.

Option 1: Mitochondria and nucleus are found in bacteria

Option 2: Ribosomes, mitochondria and lysosomes are found in animal cells

Option 3: Chloroplast, ribosomes and nucleus are present in fungal cells

Option 4: Mitochondria and nucleus are absent in plant cell

Team Careers360 25th Jan, 2024

Correct Answer: Ribosomes, mitochondria and lysosomes are found in animal cells


Solution : The correct answer is Ribosomes, mitochondria and lysosomes are found in animal cells.

Because animal cells are eukaryotic, they contain ribosomes, mitochondria, and lysosomes. Prokaryotic cells are simpler than eukaryotic cells. Bacteria are prokaryotic cells which lack

57 Views

Question : Delhi gets winter rainfall  due to 

Option 1: South west monsoons

Option 2: north east monsoons

Option 3: conventional rain

Option 4: western disturbance

Team Careers360 16th Jan, 2024

Correct Answer: western disturbance


Solution : The correct answer is Western Disturbances. 

Delhi and northern India witness rainfall in the months of November and December because of Western Disturbances. It is an extra-tropical cyclone formed in the Mediterranean and Caspian sea region which often covers the regions of north-west India.

22 Views

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

Had they not cleared the exam?

Option 1: Is the exam not been cleared by them?

Option 2: Have the exam not been cleared by them?

Option 3: Was the exam not been cleared by them?

Option 4: Had the exam not been cleared by them?

Team Careers360 22nd Jan, 2024

Correct Answer: Had the exam not been cleared by them?


Solution : The correct choice is the fourth option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject

55 Views

Question : If $x$ is the mean proportional between 12.8 and 64.8, then the value of $x$ is:

Option 1: 32

Option 2: 34

Option 3: 28.8

Option 4: 26.4

Team Careers360 22nd Jan, 2024

Correct Answer: 28.8


Solution : According to the question,
$c^2 = ab$
where $c$ is the mean proportion of $a$ and $b$.
Now, the mean proportion of 12.8 and 64.8
 $x=\sqrt{12.8 \times 64.8}$
 $=\sqrt{16 \times 0.8\times 0.8 \times 81}$
 $=4 \times 0.8 \times 9$
$x=28.8$
Hence, the correct answer is

17 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

The noise of the drum beats ________ and frighten the tiger.

Option 1: Persisted

Option 2: Perplexed

Option 3: Prevented

Option 4: Pertained

Team Careers360 23rd Jan, 2024

Correct Answer: Perplexed


Solution : The correct word to fill in the blank is the second option.

It means to be puzzled or confused. In the context of the sentence, if the noise of the drum beats perplexed the tiger, it means the tiger was confused or puzzled by the

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