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Staff Selection Commission Combined Graduate Level Exam

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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

25 Views

Question : In the figure, AB = AD = 7 cm, and AC = AE, and BC = 11 cm, then find the length of ED.

Option 1: 12

Option 2: 10

Option 3: 11

Option 4: 2

Team Careers360 25th Jan, 2024

Correct Answer: 11


Solution :
Given, AB = AD = 7 cm, and AC = AE, and BC = 11 cm
$\angle BAC = \angle DAE$ (vertically opposite angles)
In the given figure, $\frac{AB}{BC}=\frac{AD}{ED}$
So, $\triangle ABC \cong \triangle ADE$ [by Side-Angle-Side criteria]
⇒ $ED = BC = 11$ cm

18 Views

Question : Directions: In the following question, find the odd number pair from the given alternatives.

Option 1: 73 – 61

Option 2: 57 – 69 

Option 3: 47 – 59 

Option 4: 42 – 29 

Team Careers360 25th Jan, 2024

Correct Answer: 42 – 29 


Solution : Let's check the options –
First option: 73 – 6173 – 61 = 12
Second option: 57 – 6969 – 57 = 12
Third option: 47 – 5959 – 47 = 12
Fourth option: 42 – 29

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