Staff Selection Commission Combined Graduate Level Exam
Question : If $\sec A+\tan A=5$, then $\sin A$ is equal to:
Option 1: $\frac{5}{13}$
Option 2: $\frac{5}{12}$
Option 3: $\frac{13}{12}$
Option 4: $\frac{12}{13}$
Correct Answer: $\frac{12}{13}$
Solution : Given: $\sec A+\tan A=5$ ----------(equation 1) We know, $\sec^2A–\tan^2A=1$ ⇒ $(\sec A+\tan A)(\sec A–\tan A)=1$ ⇒ $5(\sec A–\tan A)=1$ ⇒ $\sec A–\tan A=\frac{1}{5}$ -----------(equation 2) Solving equations 1 and 2 we get, $\sec A=\frac{26}{10}$ and $\tan A=\frac{24}{10}$. So, $\sin A=\frac{\tan A}{\sec A}=\frac{\frac{24}{10}}{\frac{26}{10}}=\frac{12}{13}$. Hence, the correct
Question : Identify an example of decomposers that are found in the bottom of a pond.
Option 1: Zooplankton
Option 2: Jellyfishes
Option 3: Flagellates
Option 4: Phytoplankton
Correct Answer: Flagellates
Solution : The correct answer is Flagellates.
The bottoms of the pond are home to flagellates. Flagellates represent protozoa. They can be found in freshwater, seawater, and soil. Some are pathogenic and can be found within the bodies of other organisms. These are eukaryotic, unicellular organisms.
Question : Select the option that expresses the given sentence in active voice. The task has been completed.
Option 1: Someone has completed the task.
Option 2: Someone has been completing the task.
Option 3: Someone will be completing the task.
Option 4: Someone completes the task.
Correct Answer: Someone has completed the task.
Solution : The first option is the correct choice.
In active voice, the subject of the sentence should act directly. In the active voice transformation, we introduce the doer of the action (someone) as the subject and reposition the task as the object.
Question : Select the option that expresses the given sentence in passive voice.
Somebody is following us.
Option 1: Somebody had been following us.
Option 2: Somebody is following us.
Option 3: We have been following by somebody.
Option 4: We’re being followed by somebody.
Correct Answer: We’re being followed by somebody.
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 in the passive
Question : Directions: In a certain code language, PEN is coded as 9, and PAPER is coded as 25. How will the CHAPTER be coded in the same language?
Option 1: 36
Option 2: 49
Option 3: 24
Option 4: 42
Correct Answer: 49
Solution : Given: PEN is coded as 9 and PAPER is coded as 25.
Square the number of letters in PEN, to get the required code – The number of letters in PEN is 3, and 32 = 9 Thus, PEN is coded as 9. And,
Question : Directions: A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : The table given below shows the budget allocation for education in five states in a year.
The budget allocation for education in state K is what percent of the budget allocation for education in state L?
Option 1: 150%
Option 2: 55%
Option 3: 45%
Option 4: 50%
Correct Answer: 50%
Solution : Budget allocation for education in state K = 175 Budget allocation for education in state L = 350 $\therefore$ Required percentage = $\frac{175}{350}\times 100$ = 50% Hence, the correct answer is 50%.
Question : Direction: Z A5 , Y4B , X C6 , W3 D , ?
Option 1: V E7
Option 2: E7 V
Option 3: V2 E
Option 4: V E5
Correct Answer: V E7
Solution : Given:
Z A5 , Y4B , X C6 , W3 D , ?
Here letters are paired with their counterparts if they are positioned in an alphabetical order.
Z → A , Y → B , X →
Question : Lungs are the primary organs of_________.
Option 1: Digestion
Option 2: Constipation
Option 3: Perspiration
Option 4: Respiration
Correct Answer: Respiration
Solution : The correct option is respiration
The primary function of the lungs is to exchange gases between the body and the environment during respiration. They are essential for providing oxygen to the body's cells and eliminating carbon dioxide, a byproduct of cellular metabolism. This process
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word). Horizontal : Vertical
Option 1: Smart : Intelligent
Option 2: Humid : Dry
Option 3: Include : Involve
Option 4: Exit : Leave
Correct Answer: Humid : Dry
Solution : Given: Horizontal : Vertical (This depicts that both the terms are opposite of each other)
Let's check each option – First option: Smart : Intelligent; Smart is the synonym of intelligent. Second option: Humid : Dry; Humid is the antonym of dry. Third
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