Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 4, 6, 12, 14, 28, 30, ?
Option 1: 62
Option 2: 60
Option 3: 54
Option 4: 52
Correct Answer: 60
Solution : Given: 4, 6, 12, 14, 28, 30, ?
Follow the pattern to find the missing term –
So, 60 is the missing number of the series. Hence, the second option is correct.
Question : If $x^2+y^2=29$ and $xy=10$, where $x>0,y>0$ and $x>y$. Then the value of $\frac{x+y}{x-y}$ is:
Option 1: $- \frac{7}{3}$
Option 2: $\frac{7}{3}$
Option 3: $\frac{3}{7}$
Option 4: $-\frac{3}{7}$
Correct Answer: $\frac{7}{3}$
Solution : Given: $x^2+y^2=29$, $xy=10$ $x^2+y^2=29$ ⇒ $x^2+y^2+20=29+20$ (adding 20 on both sides) ⇒ $x^2+y^2+2×10=49$ ⇒ $x^2+y^2+2×xy=49$ (as $xy=10$) ⇒ $(x+y)^2=7^2$ ⇒ $x+y=7$ Now, ⇒ $x^2+y^2-20=29-20$ (subtracting 20 on both sides) ⇒ $x^2+y^2-2×xy=9$ (as $xy=10$) ⇒ $(x-y)^2=3^2$ ⇒ $x-y=3$ In the same way, we get $x-y=3$ So,
Question : Directions: Which two signs should be interchanged to make the given equation correct? 16 + 4 ÷ 2 × 12 − 4 = 40
Option 1: + and ×
Option 2: + and −
Option 3: ÷ and ×
Option 4: ÷ and +
Correct Answer: + and ×
Solution : Given: 16 + 4 ÷ 2 × 12 − 4 = 40
Replace the given signs in the question one by one with the original signs in the given equation. First option: + and × ⇒ 16 × 4 ÷ 2 + 12
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Either Sohan or his friends (1) / is to be blamed (2) / for this mischief. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error is in the second part of the sentence.
In the case of either...or, the verb must agree with the second subject (the subject closest to the verb). Thus, "is" should be replaced with are to make the sentence grammatically accurate.
Therefore, the
Question : If $a^2+b^2+c^2=14$ and $a+b+c=6$, then the value of $(ab+bc+ca)$ is:
Option 1: 11
Option 2: 12
Option 3: 13
Option 4: 14
Correct Answer: 11
Solution : Given: $a^2+b^2+c^2=14$ and $a+b+c=6$. On squaring the given equation $a+b+c=6$, we get, $(a+b+c)^2=6^2$ ⇒ $a^2+b^2+c^2+2(ab+bc+ca)=36$ Substitute the value of $a^2+b^2+c^2=14$ in the above equation and we get, ⇒ $14+2(ab+bc+ca)=36$ ⇒ $2(ab+bc+ca)=22$ ⇒ $(ab+bc+ca)=11$ Hence, the correct answer is 11.
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. Nostalgia helps us maintain a positive psychological status when counteracting the negative impact of difficult situations. B. Nostalgia is a sentimental longing for one’s past. C. The adaptive functions of nostalgia are many, with one effect being pain relief. D. It is a self-conscious, perhaps bittersweet but predominantly positive social emotion.
Option 1: CDBA
Option 2: BDAC
Option 3: ABCD
Option 4: CADB
Correct Answer: BDAC
Solution : The correct choice is the second option.
The paragraph starts with sentence B, which introduces the concept of nostalgia, followed by sentence D, which expands on nostalgia, describing it as a self-conscious emotion. This elaboration provides a nuanced understanding of how nostalgia is
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four. ____ you work hard, you cannot succeed.
Option 1: if
Option 2: Till
Option 3: Until
Option 4: Unless
Correct Answer: Unless
Solution : The fourth option is the appropriate answer in the sentence because 'unless' means 'if... not' and completes the phrase, which explains that if we do not work hard, we won't succeed.
Other options are contextually unfit for the sentence. Therefore, the complete statement should be
Question : In the following list of devices, which device is used in the network layer?
Option 1: Repeaters
Option 2: Router
Option 3: Application Gateway
Option 4: Switch
Correct Answer: Router
Solution : The correct answer is Router.
Routers are devices that link and forward communications between two or more networks. They employ routing tables to decide which path traffic should take. Routers are critical components of the internet because they enable traffic to travel across various networks
Question : Directions: E + B means E is the husband of B. E – B means E is the daughter of B. E @ B means E is the father of B. E # B means E is the mother of B. If N + D # Z @ B, then how is N related to B?
Option 1: N is the paternal grandfather of B
Option 2: N is the mother-in-law of B
Option 3: N is the paternal grandmother of B
Option 4: N is the maternal grandmother of B
Correct Answer: N is the paternal grandfather of B
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above, it is evident that N is
Question : Where is the Great Barrier Reef located?
Option 1: Pacific Ocean
Option 2: Indian Ocean
Option 3: Atlantic Ocean
Option 4: Arctic Ocean
Correct Answer: Pacific Ocean
Solution : The correct answer is Pacific Ocean.
Great Barrier Reef is located off the north eastern coast of Australia and is the largest coral reef in the world. It is formed in Coral Sea in Pacific ocean. Biologically it is a mega-diverse region and is
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