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Staff Selection Commission Combined Graduate Level Exam

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15 Views

Question : In a cut motion, when the amount of demand is reduced by Rs.100 it is known as

Option 1: Disapproval of policy cut

Option 2: Economy cut

Option 3: Vote on account

Option 4: Token cut

Team Careers360 25th Jan, 2024

Correct Answer: Token cut


Solution : The correct answer is Token cut.

Cut motions are the method of accountability with the opposition in Lok Sabha. It is a form of checks and balances in the Indian constitutional setup. In a token-cut-specific issue. It asks for a discussion on a

15 Views

Question : What is the value of $\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$?

Option 1: $15(\sqrt5–\sqrt3)$

Option 2: $3(5\sqrt5+\sqrt3)$

Option 3: $15(\sqrt5+\sqrt3)$

Option 4: $3(3\sqrt5+\sqrt3)$

Team Careers360 25th Jan, 2024

Correct Answer: $3(5\sqrt5+\sqrt3)$


Solution : Given:
$\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$
= $\frac{12\sqrt5-12\sqrt 3+18\sqrt5+18\sqrt 3}{(\sqrt5+\sqrt3)(\sqrt{5}-\sqrt3)}$
= $\frac{30\sqrt5+6\sqrt3}{5-3}$
= $\frac{6(5\sqrt5+\sqrt3)}{2}$
= $3(5\sqrt5+\sqrt3)$
Hence, the correct answer is $3(5\sqrt5+\sqrt3)$.

13 Views

Question : If $x+y+z=1, \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1,$ and $xyz=-1$, then $x^3+y^3+z^3 $ is equal to:

Option 1: –1

Option 2: 1

Option 3: –2

Option 4: 2

Team Careers360 25th Jan, 2024

Correct Answer: 1


Solution : Given:
$x+y+z=1,\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$, $xyz=-1$
Consider, $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$
⇒ $xy+yz+zx=xyz=-1$
Now, $x+y+z=1$
⇒ $(x+y+z)^2=1^2$
⇒ $x^2+y^2+z^2+2(xy+yz+zx)=1$
⇒ $x^2+y^2+z^2+2(-1)=1$
⇒ $x^2+y^2+z^2=3$
We know, $x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx)$
So, putting all the values, we get,
⇒ $x^3+y^3+z^3-3×(-1)=1×[3-(-1)]$
⇒ $x^3+y^3+z^3=4-3$
$\therefore x^3+y^3+z^3=1$
Hence, the correct answer is 1.

23 Views

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: $x$

Team Careers360 25th Jan, 2024

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

3 Views

Question : Right to Privacy comes under

Option 1: Article 19

Option 2: Article 20

Option 3: Article 21

Option 4: Article 18

Team Careers360 25th Jan, 2024

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

11 Views

Question : Directions: Which figure should replace the question mark (?) if the series were to be continued?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : In the given figure, follow the directions to find the next term –

Hence, the first option is correct.

16 Views

Question : T. Balasaraswati, a ___________ dancer, was also an actress.

Option 1: Bharatanatyam

Option 2: Kuchipudi

Option 3: Manipuri

Option 4: Kathakali

Team Careers360 25th Jan, 2024

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

12 Views

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

Team Careers360 25th Jan, 2024

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.

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