Staff Selection Commission Combined Higher Secondary Level Exam
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
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
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
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
Question : Directions: How many tablets are only cars?
Option 1: 4
Option 2: 8
Option 3: 17
Option 4: 12
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
Question : Silicon dioxide is found mostly in which of the following?
Option 1: Sand
Option 2: Sugar
Option 3: Salt
Option 4: Slaked lime
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
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
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
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
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 –
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
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:
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: $\pm 4 \sqrt{3}$
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 $\pm 3\sqrt{3}$.
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
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
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%
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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