Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is "No Error".
Mohan leapt (1) / on the opportunity (2) / that came his way. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
The use of "at" is correct instead of "on" because "leapt at" is used to express eagerness and enthusiasm in seizing an opportunity, while "leapt on" is used to describe a more aggressive or critical response to
Question : If $x=asin\theta-bcos\theta, y=acos\theta+bsin\theta$, then which of the following is true?
Option 1: $\frac{x^2}{y^2}+\frac{a^2}{b^2}=1$
Option 2: $x^2+y^2=a^2-b^2$
Option 3: $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
Option 4: $x^2+y^2=a^2+b^2$
Correct Answer: $x^2+y^2=a^2+b^2$
Solution : Given: $x=a\sin\theta-b\cos\theta, y=a\cos\theta+b\sin\theta$ Now, $x^2+y^2$ = $(a\sin\theta-b\cos\theta)^2+(a\cos\theta+b\sin\theta)^2$ = $a^2\sin^2\theta+b^2\cos^2\theta-2ab\sin\theta \cos\theta+a^2\cos^2\theta+b^2\sin^2\theta+2ab\sin\theta \cos\theta$ = $a^2(\sin^2\theta+\cos^2\theta)+b^2(\sin^2\theta+\cos^2\theta)$ = $a^2+b^2$ Hence, the correct answer is $x^2+y^2=a^2+b^2$.
Question : The distance-time graph for the motion of an object moving with a constant speed is a ______.
Option 1: dot
Option 2: circle
Option 3: straight line
Option 4: curve
Correct Answer: straight line
Solution : The correct option is a straight line.
The distance-time graph for an item travelling at a constant speed is a straight line with an upward slope. This means the thing travels the same distance in the same amount of time.
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. She declared that nothing would make her go to the party. B. She left within half an hour dressed in an elegant black gown. C. Yet, ten minutes later she seemed to change her mind. D. At six o'clock Camilla was throwing her weight about.
Option 1: ABCD
Option 2: CBAD
Option 3: BCDA
Option 4: DACB
Correct Answer: DACB
Solution : The fourth option is the correct choice.
The sequence begins with sentence D, which introduces the time frame of six o'clock when Camilla was asserting herself. Sentence A follows, stating her firm declaration about not wanting to attend the party. The sequence then shifts to
Question : In a village panchayat society, 574 names are listed as 'below poverty level'. If 14% of the villagers are below the poverty level, the total number of villagers is:
Option 1: 4100
Option 2: 4200
Option 3: 4000
Option 4: 3800
Correct Answer: 4100
Solution : Let the total population of the village be $x$. According to the question, 14% of $x=$ 574 ⇒ $\frac{x × 14}{100} = 574$ ⇒ $x = 4100$ Hence, the correct answer is 4100.
Question : The Vice President of India is elected for a period of ______ years.
Option 1: 6
Option 2: 5
Option 3: 2
Option 4: 3
Correct Answer: 5
Solution : The correct option is 5.
The Vice President of India is elected by an electoral college consisting of members of both houses of Parliament—the Lok Sabha (House of the People) and the Rajya Sabha (Council of States). The term is five years, and there
Question : Which scientist revised the nebular hypothesis in 1796?
Option 1: Neville Chamberlain
Option 2: Edwin Hubble
Option 3: Pierre Laplace
Option 4: Harold Jeffrey
Correct Answer: Pierre Laplace
Solution : The correct option is Pierre Laplace.
The nebular hypothesis was first proposed by the French mathematician and astronomer Pierre-Simon Laplace in his work "Exposition du système du Monde" (Exposition of the System of the World), which was published in 1796. Laplace revised and
Question : Select the most appropriate ANTONYM of the given word. Vigilant
Option 1: Stagnant
Option 2: Dubious
Option 3: Robust
Option 4: Negligent
Correct Answer: Negligent
Solution : The fourth option is the correct answer.
Vigilant means watchful, alert, and attentive, often to detect and respond to potential dangers or problems. On the other hand, negligent means failing to take proper care or showing a lack of attention and caution.
The meanings of
Question : Directions: The line chart given below shows the ratio of production to sales of two bike manufacturing firms over 6 years
Assume that if sales in any year are greater than production, then both companies have sufficient stock to meet such instances.
Company 1 sold 20,000 bikes each year from 2011 to 2016, and Company 2 sold 10,000 bikes each year from 2011 to 2016. What is the difference (in units) in the average yearly production of companies 1 and 2?
Option 1: 6,733.33
Option 2: 7,500
Option 3: 8,666.6
Option 4: 9,333.33
Correct Answer: 9,333.33
Solution : We know that, Total production = Sales per year × Sum of ratios of all year For Company 1, the total production from the year 2011 to 2016. Given that the sale is the same in all years. The total production for Company 1 =
Question : Which of the following countries never hosted the Paralympic games?
Option 1: Israel
Option 2: Japan
Option 3: South Korea
Option 4: India
Correct Answer: India
Solution : The correct option is India.
A notable international sporting event for athletes with impairments is the Paralympic Games. The Paralympics, like the Olympic Games, are divided into the Winter Games and Summer Games, which rotate every two years. Despite sending competitors to the Paralympic
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