Staff Selection Commission Combined Graduate Level Exam
Question : What is the simplified value of $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$?
Option 1: $y$
Option 2: $z$
Option 3: $1$
Option 4: $x$
Correct Answer: $1$
Solution : Given: The expression is $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$. $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$ Substitute the value of $x=y=z=1$, in the given expression, we get, = $\frac{(1+1+1)(1\times1+1\times 1+1\times 1)–1\times1\times1}{(1+1)(1+1)(1+1)}$ = $\frac{3\times 3–1}{2\times 2\times 2}=\frac{9–1}{8}$ = $\frac{8}{8}$ = $1$ Hence, the correct answer is
Question : Right to Privacy comes under
Option 1: Article 19
Option 2: Article 20
Option 3: Article 21
Option 4: Article 18
Correct Answer: Article 21
Solution : The correct option is Article 21.
The right to privacy is a basic one that the Indian Supreme Court has regarded as being implicit in the rights to life and personal liberty given by Article 21 of the Constitution. This interpretation was established in
Question : Directions: Which figure should replace the question mark (?) if the series were to be continued?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, follow the directions to find the next term –
Hence, the first option is correct.
Question : Direction: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'S' can be represented by 14,23, etc., and 'E' can be represented by 56, 68, etc. Similarly, you have to identify the set for the word.
'CURE'
Option 1: 04, 57, 10, 88
Option 2: 31, 21, 56, 85
Option 3: 88, 57, 10, 85
Option 4: 04, 21, 55, 86
Correct Answer: 88, 57, 10, 85
Solution : Given: CURE
Number representations of each letter: C → 31, 04, 88 U → 21, 57 R → 10, 55, 98 E → 02, 22, 43, 85, 56, 68
First option: 04, 57, 10, 88 E cannot be represented by 88.
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. The other half had been sued at least twice, and Levinson found that just on the basis of those conversations, she could find clear differences between the two groups. B. Recently the medical researcher Wendy Levinson recorded hundreds of conversations between a group of physicians and their patients. C. The surgeons who had never been sued spent more than three minutes longer with each patient than those who had been sued did. D. Roughly half of the doctors had never been sued.
Option 1: BDAC
Option 2: CABD
Option 3: ABCD
Option 4: BCAD
Correct Answer: BDAC
Solution : The correct choice is the first option.
The first sentence should be B since it introduces the topic of medical researcher Wendy Levinson. Sentence D is also supporting sentence B by providing background information on the topic, so it should come next.
Sentence A
Question : T. Balasaraswati, a ___________ dancer, was also an actress.
Option 1: Bharatanatyam
Option 2: Kuchipudi
Option 3: Manipuri
Option 4: Kathakali
Correct Answer: Bharatanatyam
Solution : The correct option is Bharatanatyam.
T. Balasaraswati was a renowned Indian classical dancer. She was a prominent figure in the field of Bharatanatyam, a traditional South Indian dance form. She was primarily known for her contributions to dance, and she did appear in a
Question : Select the most appropriate synonym of the underlined word.
For many, a warming climatic system is expected to impact the availability of basic necessities like freshwater, food security, and energy, while efforts to redress climate change, both through adaptation and mitigation, will similarly inform and shape the global development agenda.
Option 1: rise
Option 2: cure
Option 3: balance
Option 4: reduction
Correct Answer: reduction
Solution : The correct option is the fourth option.
Mitigation in the context of climate change, involves efforts to reduce or prevent the severity of its effects through measures like reducing greenhouse gas emissions, enhancing carbon sinks, or adopting strategies to adapt to changing environmental conditions.
Question : Fill in the blank with the most appropriate word. The boy ___________to take the money.
Option 1: ordered
Option 2: denied
Option 3: reminded
Option 4: refused
Correct Answer: refused
Solution : The fourth option is correct.
Question : If $x$ and $y$ are positive numbers such that $x - y = 5$ and $xy = 150$, the value of $(x + y)$ is:
Option 1: 45
Option 2: 25
Option 3: 35
Option 4: 15
Correct Answer: 25
Solution : Given: $x - y = 5$ and $xy = 150$ Squaring both sides of the given equation $x - y = 5$, we get, $(x - y)^2 = 5^2$ ⇒ $x^2 + y^2 - 2xy = 25$ ⇒ $x^2 + y^2 - 2 × 150
Question : $\cos \left(30^{\circ}+\theta\right)-\sin \left(60^{\circ}-\theta\right)=$ _____________.
Option 1: $\frac{\sqrt{3}}{2}$
Option 2: $0$
Option 3: $\frac{1}{2}$
Option 4: $\frac{1}{\sqrt{2}}$
Correct Answer: $0$
Solution : $\cos (30^{\circ}+\theta)-\sin (60^{\circ}-\theta)$ = $\cos (30^{\circ}+\theta)-\cos(90^{\circ}-(60^{\circ}-\theta))$ = $\cos (30^{\circ}+\theta)-\cos(90^{\circ}-60^{\circ}+\theta)$ = $\cos (30^{\circ}+\theta)- \cos (30^{\circ}+\theta)$ = $0$ Hence, the correct answer is $0$.
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