Staff Selection Commission Combined Graduate Level Exam
Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Correct Answer: 3
Solution : Given: $4x–7y=3$ and $2x–y=9$. ⇒ $4x=3+7y$ ----------(1) ⇒ $2x=9+y$ -----------(2) Equating equation (1) and (2), we get: ⇒ $3+7y=2(9+y)$ ⇒ $3+7y=18+2y$ ⇒ $5y=15$ ⇒ $y=3$ Putting the value of $y$ in equation (1), ⇒ $4x=3+7×3$ ⇒ $4x=24$ ⇒ $x=6$ So, $(x–y)=6–3$ $(x–y)=3$ Hence, the correct
Question : Directions: In the following figure, the square represents therapists, the triangle represents geneticists, the circle represents yoga practitioners and the rectangle represents fathers. Which set of letters represents yoga practitioners who are neither geneticists nor fathers?
Option 1: C, B
Option 2: E, A
Option 3: G, C
Option 4: F, G
Correct Answer: F, G
Solution : In the diagram, the shaded part represents the region common to yoga practitioners but, uncommon to fathers and geneticists.
Therefore, the letters that represent yoga practitioners who are neither geneticists nor fathers are F and G. Hence, the fourth option is correct.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Posters are (1) _ to promote a brand or pass (2) _ important information. They can be used for (3) _ purposes ranging from telling people to be cautious as the floor is wet, to informing them about an upcoming sale or event. They usually include a picture (4) _ very few words. A suitable (5) _ makes a poster effective and memorable. Select the most appropriate option to fill in blank no. 5.
Option 1: caption
Option 2: anticipation
Option 3: quotation
Option 4: caution
Correct Answer: caption
Solution : The correct choice is the first option.
In the context of a poster that includes a picture and very few words, the word caption is the most suitable choice. A caption is a brief explanation or description that complements an image, providing contextual or
Question : Which of the following towns was grown as a temple town during the Chola dynasty?
Option 1: Bhillasvamin
Option 2: Thanjavur
Option 3: Ahmedabad
Option 4: Ahmednagar
Correct Answer: Thanjavur
Solution : The correct option is Thanjavur.
Thanjavur was developed as a temple town during the Chola dynasty. The Brihadeeswara Temple, built by Raja Raja Chola I in the 11th century, is a significant example of the architectural and cultural achievements of the Chola era in Thanjavur.
Question : Identify the segment in the sentence which contains a grammatical error.
He has shattered his neighbour's window by purpose.
Option 1: neighbour's window
Option 2: He has
Option 3: shattered his
Option 4: by purpose
Correct Answer: by purpose
Solution : The correct choice is the fourth option.
The correct preposition to use before purpose in this context is on. The correct phrase to express intent or deliberate action is on purpose. It indicates that the action was done intentionally.
Therefore, the
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series? MU, NE, PX, QF, SA, TG, ?
Option 1: UC
Option 2: VE
Option 3: VD
Option 4: VC
Correct Answer: VD
Solution : Given: MU, NE, PX, QF, SA, TG, ?
Add 1 and 2 alternately in the place value of the first letter. Add 3 in the place value of odd-placed pairs and add 1 in the place value of even-placed pairs in the second letter to
Question : The following sentence has been split into four segments. Identify the segment that contains an error.
Neetu have been / waiting for me / since 10 o'clock / in the morning.
Option 1: Neetu have been
Option 2: in the morning
Option 3: since 10 o'clock
Option 4: waiting for me
Correct Answer: Neetu have been
Solution : The error lies in the first option.
This sentence contains a subject-verb agreement in this part.
Neetu is singular and thus has should be used in place of have to make the sentence grammatically accurate and convey the intended meaning.
The correct sentence
Question : Direction: In the following question, select the one which is different from other three alternatives.
Option 1: 428
Option 2: 338
Option 3: 326
Option 4: 339
Correct Answer: 338
Solution : Let's check the options —
First option: 428; 4 × 2 = 8.
Second option: 338; 3 × 3 = 9. This option is different from the other options.
Third option: 326; 3 × 2 = 6.
Fourth option: 339; 3 × 3 = 9.
Question : If $x+\frac{1}{x}=3, x \neq 0$, then the value of $x^7+\frac{1}{x^7}$ is:
Option 1: 749
Option 2: 843
Option 3: 746
Option 4: 849
Correct Answer: 843
Solution :
If $x+\frac{1}{x}=3$ Using $a^3 + \frac{1}{a^3} = \left(a + \frac{1}{a}\right)^3 - 3\left(a + \frac{1}{a}\right)$, $⇒x^3+\frac{1}{x^3} = 3^3 - 3$ $⇒x^3+\frac{1}{x^3} = 18$ Using $a^4 + \frac{1}{a^4} = \left[\left(a + \frac{1}{a}\right)^2 - 2\right]^2 - 2$, $⇒x^4 + \frac{1}{x^4} = [3^2 - 2]^2 - 2$ $⇒x^4 +
Question : If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage?
Option 1: 75%
Option 2: 100%
Option 3: 50%
Option 4: 25%
Correct Answer: 50%
Solution : Given: If the selling price of an article is doubled, then the profit becomes four times. Let the selling price of the article be Rs. $x$ and the cost price is Rs. $y$. So, profit = $(x – y)$ The new selling price becomes $2x$.
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