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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : In $\triangle X Y Z, P$ is a point on side YZ and XY = XZ. If $\angle X P Y=90°$ and $Y P=9\ \text{cm}$, then what is the length of $YZ$?

Option 1: 17 cm

Option 2: 18 cm

Option 3: 12 cm

Option 4: 15 cm

Team Careers360 21st Jan, 2024

Correct Answer: 18 cm


Solution :
The given triangle is isosceles.
In $\triangle XPY$ and $\triangle XPZ$
$XY = XZ$ (given)
$XP = XP$ (common)
$\angle XPY = \angle XZY$ (isosceles triangle)
$\triangle XPY \cong \triangle XPZ$
$\therefore YP=PZ=9\ \text{cm}$
$YZ=YP+PZ = 9+9=18\ \text{cm}$
Hence, the correct answer is 18

26 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".

She regards (1) / negotiating prices with customers (2) / as her special expertise. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 23rd Jan, 2024

Correct Answer: (3)


Solution : The error lies in the third part of the sentence.

Here, "expertise" itself means having some special skills in a particular field. So, there is no need to use the word "special" with it and it should be omitted.

Therefore, the correct sentence is: "She

7 Views

Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.
Penny wise and pound foolish

Option 1: Careless with large amounts, but not small

Option 2: To act like a fool

Option 3: An intelligent person who behaves foolishly

Option 4: Dissipating money without caring about consequences

Team Careers360 24th Jan, 2024

Correct Answer: Careless with large amounts, but not small


Solution : The correct choice is the first option.

The idiom penny wise and pound foolish means being careful about small amounts of money but not about large amounts. It is used especially to describe something that is done to save

10 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 20th Jan, 2024

Correct Answer:


Solution : As 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 second option figure.

8 Views

Question : What is the name of the research station established by the Indian Government for conducting research in the Antarctic?

Option 1: Dakshin Gangotri

Option 2: Yamunotri

Option 3: Uttari Gangotri

Option 4: None of the above

Team Careers360 22nd Jan, 2024

Correct Answer: Dakshin Gangotri


Solution : The correct answer is Dakshin Gangotri.

South of India and west of the Indian Ocean is the frozen continent of Antarctica. Dakshin Gangotri was the first research base station established by India in Antarctica. The station was a part of India's program for the

19 Views

Question : The circumference of a circle is $58 \pi$ cm. There is a chord XY of length 42 cm in this circle. What is the distance of this chord XY from the centre?

Option 1: 32 cm

Option 2: 20 cm

Option 3: 28 cm

Option 4: 24 cm

Team Careers360 15th Jan, 2024

Correct Answer: 20 cm


Solution :
Circumference = $2\pi r$
⇒ $58\pi=2\pi r$
⇒ $r = 29$ cm
In triangle XOP,
XP = 21 cm
OX = 29 cm
Apply Pythagoras' theorem, we get
$OX^2 = OP^2 + XP^2$
$29^2= OP^2 + 21^2$
⇒ $OP^2= 841 - 441$
⇒ $OP^2

10 Views

Question : The first battle of Panipat took place between Babur and_______.

Option 1: Medini Rai

Option 2: Sikandar Lodi

Option 3: Ibrahim Lodi

Option 4: Rana Sanga

Team Careers360 13th Jan, 2024

Correct Answer: Ibrahim Lodi


Solution : The correct option is Ibrahim Lodi.

The first Battle of Panipat occurred in 1526 between Babur, the founder of the Mughal Empire and Ibrahim Lodi, the Sultan of Delhi. Babur's victory marked the beginning of Mughal rule in India. This battle is renowned

22 Views

Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.

To breast the tape

Option 1: To shut someone's mouth

Option 2: To create problems

Option 3: To bring joy

Option 4: To win a race

Team Careers360 16th Jan, 2024

Correct Answer: To win a race


Solution : The correct choice is the fourth option.

Explanation:
An idiomatic expression breast the tape means to stand first in a race, which is correctly given in the fourth option.

11 Views

Question : Which of the following was the early capital of the Rashtrakutas?

Option 1: Sopara

Option 2: Ellora

Option 3: Vatapi

Option 4: Ajanta

Team Careers360 19th Jan, 2024

Correct Answer: Ellora


Solution : The correct answer is Ellora.

There is a lot of confusion about the Rashtrakuta’s early capital. Most of the monuments of Rashtrakuta are located at Ellora, while there is no correspondence at (Manyakheta). It has been proposed that the Rashtrakuta capital at this time was

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