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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : In $\triangle$ABC, $\angle$A = $\angle$B = 60°, AC = $\sqrt{13}$ cm, the lines AD and BD intersect at D with $\angle$D = 90°. If DB = 2 cm, then the length of AD is:

Option 1: 3 cm

Option 2: 3.5 cm

Option 3: 4 cm

Option 4: 4.7 cm

Team Careers360 23rd Jan, 2024

Correct Answer: 3 cm


Solution :
$\angle$C = 180° – 60° – 60° = 60°
So, it is an equilateral triangle.
$\therefore$ AB = BC = AC = $\sqrt{13}$ cm
In $\triangle$ADB,
AB2 = AD2 + DB2
⇒ AD = $\sqrt{(\sqrt{13})^2-2^2}=\sqrt{9}=3$ cm
Hence, the correct answer is

17 Views

Question : A man in a train moving with a constant velocity drops ball on the platform. The path of the ball as seen by an observer standing on the platform is

Option 1: a straight line

Option 2: a circle

Option 3: a parabola

Option 4: none of these

Team Careers360 24th Jan, 2024

Correct Answer: a parabola


Solution : The correct answer is a parabola.

The path the ball takes when viewed from a platform by an observer is called a parabola. It is because the ball travels in two distinct directions: horizontally at the train's speed and vertically due to gravity. The

13 Views

Question : Directions: How many tablets are only cars?

Option 1: 4

Option 2: 8

Option 3: 17

Option 4: 12

Team Careers360 20th Jan, 2024

Correct Answer: 8


Solution : According to the question, we have to determine the common region between tablet and car only. In the Venn diagram below, the shaded region shows the total number of tablets that are only cars.

So, the total number of tablets that are only cars is

18 Views

Question : Silicon dioxide is found mostly in which of the following?

Option 1: Sand

Option 2: Sugar

Option 3: Salt

Option 4: Slaked lime

Team Careers360 25th Jan, 2024

Correct Answer: Sand


Solution : The correct option is Sand.

Silicon dioxide, commonly known as silica, is a compound made up of silicon and oxygen. It is the main component of sand and is found in large quantities in the Earth's crust. Sand is a natural source of silicon

16 Views

Question : Data given in the table shows the number of boys and girls enrolled for different games in an academy over 5 years.

Concerning football, in which year was the highest difference in the enrolment of boys and girls observed according to the given table?

Option 1: 2018

Option 2: 2022

Option 3: 2019

Option 4: 2021

Team Careers360 20th Jan, 2024

Correct Answer: 2021


Solution : In 2018, the difference in the enrolment of boys and girls in football = 42 – 37 = 5
In 2019, the difference in the enrolment of boys and girls in football = 44 – 34 = 10
In 2020, the difference in the enrolment

22 Views

Question : Directions: What will come in the place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged?
214 – 65 × 5 ÷ 7 + 21 = ?

Option 1: 255

Option 2: 269

Option 3: 279

Option 4: 284

Team Careers360 23rd Jan, 2024

Correct Answer: 284


Solution : Given:
214 – 65 × 5 ÷ 7 + 21 = ?

After interchanging + with –, and × with ÷, the equation will be as follows –
= 214 + 65 ÷ 5 × 7 – 21
= 214 + 13 × 7 –

13 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

One's relatives or family-related.

Option 1: Kilt

Option 2: Kindle

Option 3: Kin

Option 4: Kine

Team Careers360 23rd Jan, 2024

Correct Answer: Kin


Solution : The correct choice is the third option

Kin refers to one's relatives or family members, typically those who are related by blood or marriage.

The meanings of the other options are as follows:

  • A kilt is a knee-length garment with pleats at the back,
16 Views

Question : If $x^2+\frac{1}{x^2}=29$, then find the value of $x-\frac{1}{x}$.

Option 1: $\pm 4$

Option 2: $\pm 3 \sqrt{3}$

Option 3: $\pm 3$

Option 4: $\pm 4 \sqrt{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $\pm 3 \sqrt{3}$


Solution : $x^2+\frac{1}{x^2}=29$
$⇒x^2+\frac{1}{x^2} - 2=29-2$
$⇒(x-\frac{1}{x})^2 = 27$
$⇒(x-\frac{1}{x})^2 = 27$
$⇒(x-\frac{1}{x}) = \pm \sqrt{27}$
$\therefore (x-\frac{1}{x}) = \pm 3\sqrt{3}$
Hence, the correct answer is $\pm 3\sqrt{3}$.

2 Views

Question : Who won the women’s singles title at the US Open 2022?

Option 1: Iga Swiatek

Option 2: Serena Williams

Option 3: Venus Williams

Option 4: Ons Jabeur

Team Careers360 19th Jan, 2024

Correct Answer: Iga Swiatek


Solution : The correct option is Iga Swiatek.

Iga Swiatek won the women’s singles title at the US Open in 2022. She won by defeating Ons Jabeur.

Iga Swiatek's breakthrough came in 2020 when she won the French Open, becoming the first Polish player to win

12 Views

Question : Study the following graph carefully and answer the questions given below.

The demand for company B is approximately what percent of the demand for company C?

Option 1: 25%

Option 2: 23%

Option 3: 20%

Option 4: 24%

Team Careers360 25th Jan, 2024

Correct Answer: 24%


Solution : Demand for company B = 600
Demand for company C = 2500
$\therefore$ Required percentage $=\frac{600}{2500}\times 100=24\%$
Hence, the correct answer is 24%.

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