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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : $\triangle$XYZ is right angled at Y. If $\angle$X = 60°, then find the value of $(\sec Z+\frac{2}{\sqrt3})$.

Option 1: $\frac{4}{\sqrt3}$

Option 2: $\frac{\sqrt2+2}{2\sqrt2}$

Option 3: $\frac{7}{2\sqrt3}$

Option 4: $\frac{4}{2\sqrt3}$

Team Careers360 15th Jan, 2024

Correct Answer: $\frac{4}{\sqrt3}$


Solution :
Given: $\triangle$XYZ is right angled at Y and $\angle$X = 60°.
$(\sec Z+\frac{2}{\sqrt3})$
= $(\sec(90°-60°)+\frac{2}{\sqrt3})$
= $(\sec30°+\frac{2}{\sqrt3})$
= $(\frac{2}{\sqrt3}+\frac{2}{\sqrt3})$
= $\frac{4}{\sqrt3}$
Hence, the correct answer is $\frac{4}{\sqrt3}$.

17 Views

Question : Mohan purchased a bag with a 20% discount on the labelled price. He sold it at a 40% profit on the price he bought. The percentage of profit on the labelled price is:

Option 1: 20%

Option 2:

12%

Option 3:

18%

Option 4:

24%

Team Careers360 25th Jan, 2024

Correct Answer:

12%


Solution : Let the labelled price be $x$.
Purchasing price = $\frac{80}{100}×x= \frac{4x}{5}$
He sold it at a 40% profit on the price he bought.
So, Selling price $=\frac{140}{100}×\frac{4x}{5}=\frac{28x}{25}$
Profit = Selling Price – Labelled Price = $\frac{28x}{25}- x$ = $\frac{3x}{25}$
The percentage of profit on the

9 Views

Question : Directions: Select the option figure in which the given figure is embedded. (Rotation is NOT allowed.)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 14th Jan, 2024

Correct Answer:


Solution : Since there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.

34 Views

Question : The average age of a husband, the wife, and the child 2 years ago was 28 years and the average age of the husband and the child 5 years ago was 21 years. What is the present age of the wife?

Option 1: 38 years

Option 2: 40 years

Option 3: 36 years

Option 4: 42 years

Team Careers360 16th Jan, 2024

Correct Answer: 38 years


Solution : The average age of a husband, the wife, and the child 2 years ago was 28.
So the present average age of the husband, the wife, and the child = 28 + 2 = 30
The average age of the husband and the child

11 Views

Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.

Option 1: WC

Option 2: PW

Option 3: FM

Option 4: QX

Team Careers360 24th Jan, 2024

Correct Answer: WC


Solution : Let us check each option –
First option: WC; W + 6 = C
Second option: PW; P + 7 = 23
Third option: FM; F + 7 = 13
Fourth option: QX; Q + 7 = 24

So, only the first option is different

14 Views

Question : Asia and North America are separated by which of the following?

Option 1: Bass Strait

Option 2: Strait of Dover

Option 3: Bering Strait

Option 4: Cook Strait

Team Careers360 21st Jan, 2024

Correct Answer: Bering Strait


Solution : The correct option is Bering Strait.

The Bering Strait is the body of water separating North America from Asia. The Bering Strait is the only maritime passageway connecting the cold Arctic, and the Pacific Ocean, situated between Alaska and Russia. The strait only

23 Views

Question : Select the option that expresses the following sentence in passive voice.

Daddy baked the cookies on the weekend.

Option 1: Daddy, on the weekend, baked cookies.

Option 2: The cookies were baked on the weekend by Daddy.

Option 3: On the weekend Daddy baked cookies.

Option 4: No change required

Team Careers360 14th Jan, 2024

Correct Answer: The cookies were baked on the weekend by Daddy.


Solution : The correct choice is the second option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject

9 Views

Question : Directions: Study the following graph and answer the given questions.

 Amount (Rs. in lakhs) invested in raw materials 

 Value (Rs. in lakhs) of sales of finished goods

In which year, there has been a maximum percentage increase in the amount invested in raw materials as compared to the previous year?

Option 1: 1996

Option 2: 1997

Option 3: 1998

Option 4: 1999

Team Careers360 19th Jan, 2024

Correct Answer: 1996


Solution : The amount invested in raw materials in 1996 = Rs. 225 lakhs
The amount invested in raw materials in 1995 = Rs. 120 lakhs
Increase = 225 – 120 = Rs. 105 lakhs
In Year 1996,
Percentage increase = $\frac{\text{Increase}}{\text{Amount invested in raw material 1995}}$

19 Views

Question : Who advocated Nazism in Germany?

Option 1: Frederick William IV

Option 2: Adolf Hitler

Option 3: Bismarck

Option 4: William III

Team Careers360 23rd Jan, 2024

Correct Answer: Adolf Hitler


Solution : The correct answer is Adolf Hitler.

During the 1920s and 1930s, Adolf Hitler and the Nazi Party promoted Nazism in Germany. The National Socialist German Workers' Party was the full name of the organisation. In addition to extreme nationalism, racism, anti-semitism and anti-communism,

42 Views

Question : The plains from Ambala to the Sunderban stretch over nearly 1800 km, but the fall in its slope is hard ______ meters.

Option 1: 550

Option 2: 300

Option 3: 600

Option 4: 450

Team Careers360 21st Jan, 2024

Correct Answer: 300


Solution : The correct answer is 300.

Although the plains from Ambala to the Sunderban span about 1800 km, there is just a 300-metre drop in elevation. Otherwise, a single meter falls for every six kilometers. Large meanders form in the river as a result.

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