Staff Selection Commission Combined Graduate Level Exam
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: $\frac{12}{5}$
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 $\frac{12}{5}$.
Question : Direction: In the following question, select the missing number from the given responses.
Option 1: 90
Option 2: 70
Option 3: 65
Option 4: 30
Correct Answer: 30
Solution : Given:
In the first column, 7 × 6 = 42 → 42 × 2 = 84
In the second column, 8 × 9 = 72 → 72 × 3 = 216
In the
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
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
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
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
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
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
Question : The import and export of a country (in lakhs rupees) during a certain period of time is given in the following bar-graph. Read the bar-graph carefully and answer the following question. The import during the year 2017-18 is how many times of the import during the year 2016-17 (correct up to two decimals)
Option 1: 1.33
Option 2: 1.50
Option 3: 1.23
Option 4: 1.60
Correct Answer: 1.33
Solution : Import during 2017-18 = 1600 Import during 2016-17 = 1200 So, the required answer = $\frac{1600}{1200}$ = $\frac{4}{3}$ = 1.33 times Hence, the correct answer is 1.33.
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
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.
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?
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
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
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
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
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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