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Staff Selection Commission Combined Graduate Level Exam

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11 Views

Question : Directions: There are five girls R, S, T, P, and Q sitting in a row facing north. T is sitting exactly in the middle of the row. Q is sitting to the immediate right and immediate left of P and T, respectively. S is not sitting at the extreme end. Who is sitting third to the left of R?

Option 1: P

Option 2: Q

Option 3: S

Option 4: T

Team Careers360 25th Jan, 2024

Correct Answer: Q


Solution : Given:

(i) T is sitting exactly in the middle of the row.

(ii) Q is sitting to the immediate right and immediate left of P and T, respectively. S is not sitting at the extreme end.

From the final seating arrangement, Q is sitting third

62 Views

Question : What is the sum of the first 20 terms of the following series?
$1 \times 2+2 \times 3+3 \times 4+4 \times 5+\ldots \ldots$

Option 1: 3160

Option 2: 2940

Option 3: 3240

Option 4: 3080

Team Careers360 25th Jan, 2024

Correct Answer: 3080


Solution : Given: The series is $1 \times 2+2 \times 3+3 \times 4+4 \times 5+\ldots \ldots$.
The sum of the first $n$ consecutive number = $\frac{n(n+1)}{2}$
The sum of the square of the first $n$ consecutive number = $\frac{n(n + 1) (2n + 1)}{6}$
The sum of

14 Views

Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement'.

I think she would be much more happier in her hometown.

Option 1: No improvement

Option 2: much happier

Option 3: most happiest

Option 4: more happier

Team Careers360 25th Jan, 2024

Correct Answer: much happier


Solution : The correct choice is the second option.

The adjective happier is already a comparative form, so adding more before it is redundant and grammatically incorrect. 

Therefore, the correct sentence is: I think she would be much happier in her hometown.

24 Views

Question : Rani Karnaa Nayak, who was awarded the Padma Shri in 2014, was a _______ dancer.

Option 1: Odissi

Option 2: Mohiniyattam

Option 3: Kathak

Option 4: Kathakali

Team Careers360 25th Jan, 2024

Correct Answer: Kathak


Solution : The correct answer is Kathak.

Rani Karnaa Nayak performed Kathak. In 1927, she was born in Hyderabad, Sindh. Pandit Sohanlal Nayak, her father, began her Kathak instruction when she was five years old. She then studied under other great Kathak dancers, including Shambhu Maharaj

682 Views

Question : If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A?

Option 1: 400%

Option 2: 300%

Option 3: 500%

Option 4: 100%

Team Careers360 25th Jan, 2024

Correct Answer: 500%


Solution : 20% of (A + B) = 30% of (A − B)
⇒ 20% of A + 20% of B = 30% of A – 30% of B
⇒ 10% of A = 50% of B
$\therefore$ A = 500% of B
Hence, the correct answer

29 Views

Question : If $x=\frac{4\sqrt{ab}}{\sqrt a+ \sqrt b}$, then what is the value of $\frac{x+2\sqrt{a}}{x-2\sqrt a}+\frac{x+2\sqrt{b}}{x-2\sqrt b}$(when $a\neq b$)?

Option 1: 0

Option 2: 2

Option 3: 4

Option 4: $\frac{(\sqrt a+\sqrt b)}{(\sqrt a - \sqrt b)}$

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Given:
$x=\frac{4\sqrt ab}{\sqrt a+\sqrt b}$
Equation $=\frac{x+2\sqrt a}{x-2\sqrt a}+\frac{x+2\sqrt b}{x-2\sqrt b}$
Put the value of $x$ in equation:
$=\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{a}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt a}+\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{b}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt b}$
$=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {ab}-2b}{\sqrt{a}+\sqrt{b}}}$
$=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {a}b-2b}{\sqrt{a}+\sqrt{b}}}$
$=\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{4\sqrt{ab}-2a-2\sqrt {ab}}+\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{4\sqrt{ab}-2\sqrt {ab}-2b}$
$=\frac{2}{2}\left [\frac{2\sqrt{ab}+a+\sqrt {a}b}{2\sqrt{ab}-a-\sqrt {a}b} \right ]+\frac{2}{2}\left[\frac{2\sqrt{ab}+\sqrt {ab}+b}{2\sqrt{ab}-\sqrt {a}b-b}\right]$
$=\frac{3\sqrt{ab}+a}{\sqrt{ab}-a}+\frac{3\sqrt{ab}+b}{\sqrt{ab}-b}$

12 Views

Question : If $x+\frac{1}{x}=\sqrt{3}$, then the value of $x^{3}+\frac{1}{x^{3}}$ is equal to:

Option 1: $1$

Option 2: $3\sqrt{3}$

Option 3: $0$

Option 4: $3$

Team Careers360 25th Jan, 2024

Correct Answer: $0$


Solution : Given: $x+\frac{1}{x}=\sqrt{3}$
Cubing both sides we get
$(x+\frac{1}{x})^3=(\sqrt{3})^3$
⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=(3\sqrt{3})$
⇒ $x^3+\frac{1}{x^3}=3\sqrt{3}–3(x+\frac{1}{x})$
$\because x+\frac{1}{x}=\sqrt{3}$
Thus, $x^3+\frac{1}{x^3}=3\sqrt{3}–3\sqrt{3} = 0$
Hence, the correct answer is $0$.

18 Views

Question : Neeraj Chopra is associated with which sports ?

Option 1: Kabaddi

Option 2: Cricket

Option 3: Javelin Throw 

Option 4: Wrestling

Team Careers360 25th Jan, 2024

Correct Answer: Javelin Throw 


Solution : The correct option is - Javelin Throw .

Neeraj Chopra is an Indian javelin thrower, born on 24 December 1997. He now holds the title of Olympic champion in the javelin throw and has won silver at the World Championships and the Diamond League.

61 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.

My friend Meera and her mother is visiting me this weekend.

Option 1: have visiting

Option 2: am visiting

Option 3: was visiting

Option 4: are visiting

Team Careers360 25th Jan, 2024

Correct Answer: are visiting


Solution : The most appropriate choice is the fourth option.

The original sentence is incorrect as per the subject-verb agreement. Since "My friend Meera and her mother" is a compound subject involving more than one person, the verb should also be in the plural form to

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