Staff Selection Commission Combined Higher Secondary Level Exam
Question : A vertical pole and vertical tower are standing on the same level of ground. The height of the pole is 10 m. From the top of the pole, the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is:
Option 1: 20 m
Option 2: 30 m
Option 3: 40 m
Option 4: 50 m
Correct Answer: 40 m
Solution : Let $AB$ be the tower and $CD$ be the pole. $CD = BE = 10$ m In $\triangle BCE$, $\tan$ 30° = $\frac{10}{CE}$ ⇒ $\frac{1}{\sqrt3}$ = $\frac{10}{CE}$ ⇒ $CE = 10\sqrt3$ In $\triangle ACE$, $\tan$ 60° = $\frac{h}{CE}$ ⇒ $\sqrt3$ = $\frac{h}{10\sqrt3}$ ⇒ $h$
Question : Parts of a sentence are given below in jumbled order. Select the option that arranges the parts in the correct order to form a meaningful sentence.
A) have to deal with
B) about the terrible traffic
C) on his way to work
D) Nishit begins thinking
E) he will surely
Option 1: A, D, B, C, E
Option 2: C, D, B, A, E
Option 3: D, B, E, A, C
Option 4: E, B, A, D, C
Correct Answer: D, B, E, A, C
Solution : The third option is correct.
Question : Directions: What will come in the place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged? 5 ÷ 8 + 4 × 2 – 9
Option 1: 55
Option 2: 43
Option 3: 47
Option 4: 27
Correct Answer: 47
Solution : Given: 5 ÷ 8 + 4 × 2 – 9
After interchanging + and –, and × and ÷, the equation becomes – = 5 × 8 – 4 ÷ 2 + 9 = 5 × 8 – 2 + 9 = 40 – 2
Question : Who wrote 'Discovery of India'?
Option 1: Mahatama Gandhi
Option 2: Jawahar Lal Nehru
Option 3: APJ Abdul Kalam
Option 4: Bal Gangadhar Tilak
Correct Answer: Jawahar Lal Nehru
Solution : The correct answer is Jawaharlal Nehru
Jawaharlal Nehru wrote the book 'The Discovery of India', during his imprisonment at Ahmednagar fort for participating in the Quit India Movement (1942 – 1946). Jawaharlal Nehru was an Indian anti-colonial nationalist, secular humanist, social
Question : The waste generated by end-life personal computers is known as
Option 1: PC-waste
Option 2: Physical waste
Option 3: Computer waste
Option 4: E-waste
Correct Answer: E-waste
Solution : The correct answer is E-waste.
End-of-life personal computers and other electronic devices create garbage, which is usually referred to as E-waste or electronic waste. Electronic gadgets such as PCs, laptops, smartphones, tablets and their components are examples of E-waste.
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:
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 third option figure.
Question : The tropical rainforest is:
Option 1: dry and hot
Option 2: in the coastal regions only
Option 3: mostly covered in snow
Option 4: get plenty of rainfall
Correct Answer: get plenty of rainfall
Solution : The correct option is to get plenty of rainfall.
A tropical rainforest is a lush, and biodiverse ecosystem found near the equator, where annual rainfall is high, and temperatures are consistently warm. It has dense foliage, tall trees, a diverse range
Question : Choose the word that is opposite in meaning to the given word. Leisure
Option 1: Retire
Option 2: Work
Option 3: Worship
Option 4: Play
Correct Answer: Work
Solution : The second option is correct.
Leisure: This term refers to free time or time that is not occupied by work or other obligations.
Work: It is typically associated with employment, job-related tasks, or other responsibilities that require effort and productivity.
So, in the context provided,
Question : The marked price of an article is 150 percent of the cost price. If a 20 percent discount is given, then what will be the profit percentage?
Option 1: 20 percent
Option 2: 12.5 percent
Option 3: 25 percent
Option 4: 10 percent
Correct Answer: 20 percent
Solution : According to the question, Marked Price = 150% of cost price $\therefore$ $\text{MP} = 1.5\text{C}$ After a 20% discount, the selling price (SP) is given by: SP $=$ Marked Price $−$ Discount ⇒ SP $=1.5\text{C}−0.2\times1.5\text{C}=1.2\text{C}$ ⇒ Profit $=$ SP $−$ CP $=1.2\text{C}−\text{C}=0.2\text{C}$ Profit Percentage
Question : If (2, 0) is a solution of the linear equation $2x+3y = k$, then the value of $k$ is:
Option 1: 6
Option 2: 5
Option 3: 2
Option 4: 4
Correct Answer: 4
Solution : Given: $2x+3y=k$ If (2, 0) is a solution of the linear equation $2x+3y=k$ Putting $x = 2$ and $y = 0$ to get: ⇒ $2(2)+3(0) = k$ $\therefore k = 4$ Hence, the correct answer is 4.
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