Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the option that expresses the given sentence in passive voice.
The garment business has made Archie rich.
Option 1: Archie has been made rich by the garment business.
Option 2: Archie have been made rich by the garment business.
Option 3: Archie had been made rich by the garment business.
Option 4: Archie is made rich by the garment business.
Correct Answer: Archie has been made rich by the garment business.
Solution : The correct choice is the first option.
Passive voice is a construction where the subject of the sentence undergoes the action rather than performing it. In passive voice, the focus is on the receiver of the action
Question : A sum of Rs. 1,248 is to be distributed among Ridhaan and Vihaan in the proportion of 2 : 3. What is the share of Vihaan?
Option 1: Rs. 684.20
Option 2: Rs. 776.40
Option 3: Rs. 748.80
Option 4: Rs. 874.50
Correct Answer: Rs. 748.80
Solution : The sum of Rs. 1,248 is to be distributed among Ridhaan and Vihaan in the proportion of 2 : 3. This means that for every 5 parts of the total sum, Vihaan gets 3 parts. So, Vihaan's share is, $=\frac{3}{2+3} \times 1248 = \frac{3}{5}
Question : Select the most appropriate idiom for the underlined words in the given sentence.
Piyush is inexperienced in the leather industry.
Option 1: in great hands
Option 2: a sore thumb
Option 3: hang fire
Option 4: a greenhorn
Correct Answer: a greenhorn
Solution : The correct choice is the fourth option.
Explanation: The sentence suggests finding an idiom that expresses a lack of experience. "A greenhorn" is an appropriate idiom for someone who is inexperienced or new in a particular industry or field.
The meanings of the
Question : Which of the following equations has equal roots?
Option 1: $3x^{2}-6x+2=0$
Option 2: $3x^{2}-6x+3=0$
Option 3: $x^{2}-8x+8=0$
Option 4: $4x^{2}-8x+2=0$
Correct Answer: $3x^{2}-6x+3=0$
Solution : An equation has equal roots if its discriminant is zero. The discriminant of a quadratic equation $ax^{2}+bx+c=0$ is given by $b^{2}-4ac$. Option (i): $3x^{2}-6x+2=0$ So, $D=(-6)^{2}-4×3×2=36-24$ $\therefore D=12$ > 0 Option (ii): $3x^{2}-6x+3=0$ So, $D=(-6)^{2}-4×3×3=36-36$ $\therefore D=0$ Option (iii): $x^{2}-8x+8=0$ So, $D=(-8)^{2}-4×1×8=64-32$ $\therefore D=32$ >
Question : What did John Boyd Dunlop invent?
Option 1: Pneumatic rubber tyre
Option 2: Car music system
Option 3: Steering wheel
Option 4: Diesel engine
Correct Answer: Pneumatic rubber tyre
Solution : The correct option is a Pneumatic rubber tyre.
The pneumatic rubber tyre is said to have been invented by John Boyd Dunlop. Dunlop invented the first workable pneumatic tyre for bicycles in 1887. He placed an air-filled rubber tube around a bicycle
Question : In $\Delta ABC$ the straight line parallel to the side $BC$ meets $AB$ and $AC$ at the point $P$ and $Q,$ respectively. If $AP=QC$, the length of $AB$ is $\operatorname{12 units}$ and the length of $AQ$ is $\operatorname{2 units}$, then the length (in units) of $CQ$ is:
Option 1: $4$
Option 2: $6$
Option 3: $8$
Option 4: $10$
Correct Answer: $4$
Solution :
Given that $AP=QC$, $AB=\operatorname{12 units}$ and $AQ=\operatorname{2 units}$ Let $AP=QC=x\operatorname{ units}$ Since $PQ$ is parallel to $BC$, then, $\Delta ABC\sim\Delta APQ$ Since the triangles are similar, the ratios of their corresponding sides are equal. $\frac{AP}{AB}=\frac{AQ}{AC}$ ⇒ $\frac{x}{12}=\frac{2}{2+x}$ ⇒ $2x+x^2=24$ ⇒ $x^2+2x-24=0$ ⇒ $(x+6)(x-4)=0$ ⇒ $x=4$
Question : The following pie chart shows the percentage distribution of the expenditure incurred in publishing a book. Expenditure Find the paper cost, if the royalty is INR 22,500.
Option 1: INR 32,500
Option 2: INR 37,500
Option 3: INR 30,000
Option 4: INR 33,000
Correct Answer: INR 37,500
Solution : Royalty = 15% and Paper cost = 25% So, 15% is equivalent to INR 22,500 Therefore, 25% is equivalent to $(22500×\frac{25}{15})$ = INR 37,500 Hence, the correct answer is INR 37,500.
Question : The Fundamental Rights have been guaranteed to protect the public from repressive state action; judicial decisions tend to expand the scope of the word 'State' as defined by of the Indian Constitution.
Option 1: Article 12
Option 2: Article 14
Option 3: Article 15
Option 4: Article 13
Correct Answer: Article 12
Solution : The correct answer is Article 12.
The expansion of the scope of the term 'state' as defined in the Indian Constitution can often be observed in judicial decisions. This expansion is often related to the application of fundamental rights. The relevant article in the
Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct.
They hired a maid to have cleaner the house.
Option 1: to cleans
Option 2: No improvement
Option 3: to clean
Option 4: for cleaner
Correct Answer: to clean
Solution : The third option is the correct answer.
The original sentence contains an error in the use of the verb have. When expressing the reason for hiring someone to perform a task, the infinitive form of the verb is commonly used. In this case,
Question : Which factor is necessary for the development of democratic institutions?
Option 1: Strong military forces
Option 2: Respect for individual rights
Option 3: A one-party system
Option 4: An agricultural economy
Correct Answer: Respect for individual rights
Solution : The correct option is Respect for individual rights.
A democratic system of government is one in which the entire populace is in charge. One of the requirements for the development of democratic institutions is respect for individual rights. Institutions in a
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