Staff Selection Commission Combined Graduate Level Exam
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
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
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is (4).
I walked back home after the movie yesterday night.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct answer is the first option.
"Last night" is an appropriate phrase to use in this context to specify the time when the action took place i.e., yesternight.
So, the correct sentence should be: I walked back home after the movie last night.
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
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
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
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.
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
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
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%
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
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 3: 4
Option 4: $\frac{(\sqrt a+\sqrt b)}{(\sqrt a - \sqrt b)}$
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: $=\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{a}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt a}+\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{b}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt b}$ $=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {ab}-2b}{\sqrt{a}+\sqrt{b}}}$ $=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {a}b-2b}{\sqrt{a}+\sqrt{b}}}$ $=\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{4\sqrt{ab}-2a-2\sqrt {ab}}+\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{4\sqrt{ab}-2\sqrt {ab}-2b}$ $=\frac{2}{2}\left [\frac{2\sqrt{ab}+a+\sqrt {a}b}{2\sqrt{ab}-a-\sqrt {a}b} \right ]+\frac{2}{2}\left[\frac{2\sqrt{ab}+\sqrt {ab}+b}{2\sqrt{ab}-\sqrt {a}b-b}\right]$ $=\frac{3\sqrt{ab}+a}{\sqrt{ab}-a}+\frac{3\sqrt{ab}+b}{\sqrt{ab}-b}$
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: $3$
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 $0$.
Question : Neeraj Chopra is associated with which sports ?
Option 1: Kabaddi
Option 2: Cricket
Option 3: Javelin Throw
Option 4: Wrestling
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.
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
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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