Staff Selection Commission Combined Graduate Level Exam
Question : If a consumer's demand for a good moves in the same direction as the consumer's income, the consumer's demand for that good must be inversely related to the price of the good, which is called _____.
Option 1: law of demand
Option 2: law of supply
Option 3: law of substitute
Option 4: law of optimal choice
Correct Answer: law of demand
Solution : The correct answer is the law of demand.
The law of demand asserts that assuming all other conditions remain constant, the quantity desired of an item or service is inversely linked to its price. This suggests that when the price of a
Question : If $\theta$ is a positive acute angle and $\tan2\theta \tan3\theta=1$, then the value of $2(\cos^2\frac{5\theta}{2}-1)$ is:
Option 1: $-\frac{1}{2}$
Option 2: -1
Option 3: 0
Option 4: $\frac{1}{2}$
Correct Answer: 0
Solution : Given: $\tan2\theta \tan3\theta=1$ or, $\tan2\theta=\cot3\theta$ or, $\tan2\theta=\tan(90-3\theta)$ or, $2\theta=90-3\theta$ or, $5\theta =90$ $\therefore \theta=18°$ $2(\cos^2\frac{5\theta}{2}-1)$ = $2(\cos^2\frac{5×18°}{2}-1)$ = $2(\cos^245°-1)$ = $2×((\frac{1}{\sqrt{2}})^2-1)$ = $2×-\frac{1}{2}$ = $-1$ Hence, the answer is -1.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number. The air has become very dirty in (1)______ parts of the world. This is of course (2)______ to your health. Experts say many people die (3)______ it each year. There is a new study on (4)______ pollution which comes from the experts of the World Health Organization (WHO) (5)______ is an agency of the United Nations. If you (6)______ unhealthy air for a long period of time, you could (7)______ sick. Air pollution has been linked to many diseases (8)______stroke and cancer. The WHO says that seven million (9)______ die each year as a result of the (10)______ air. Question: Select the most appropriate option to fill in the blank no. 8.
Option 1: similar
Option 2: like
Option 3: such
Option 4: same
Correct Answer: like
Solution : The correct choice is the second option.
Explanation: In the sentence, like would function as a preposition, introducing examples of diseases associated with air pollution. The word "like" is used to indicate similarity or example. The sentence conveys that air pollution is linked to
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. INTELLIGENCE
Option 1: CANCEL
Option 2: NEGLECT
Option 3: GENTLE
Option 4: INCITE
Correct Answer: CANCEL
Solution : Given: INTELLIGENCE
Now, let's compare all the option words with the word INTELLIGENCE – First option: CANCEL; The letter C appears only once in the word INTELLIGENCE. But, in CANCEL, C appears two times. Also, the letter A is not present in the word INTELLIGENCE.
Question : At the time of indenpendence , predominantly India practised
Option 1: Subsistence agriculture
Option 2: Mixed farming
Option 3: Plantation agriculture
Option 4: Shifting agriculture
Correct Answer: Subsistence agriculture
Solution : The correct answer is Subsistence agriculture.
Subsistence agriculture is a farming practice in which farmer produces only for its basic needs and not for commercial or export purposes. It is the result of primitive agricultural practices and under developed economic conditions. Before independence India
Question : The radius of the base of a hollow cone is 8 cm, and its height is 15 cm. A sphere of the largest radius is put inside the cone. What is the ratio of the radius of the base of a cone to the radius of a sphere?
Option 1: 5 : 3
Option 2: 4 : 1
Option 3: 2 : 1
Option 4: 7 : 3
Correct Answer: 5 : 3
Solution : Given: The radius of the base of a hollow cone = 8 cm Height = 15 cm Now consider the problem in two dimensions. Area of the triangle = $\frac{1}{2}\times$ base $\times$ height. The inradius of the circle = $\frac{A}{s}$, where $A$ is
Question : In triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm, and XZ = 7 cm, then what is the value of GM?
Option 1: 6 cm
Option 2: 4 cm
Option 3: 2 cm
Option 4: 3 cm
Correct Answer: 2 cm
Solution : Given: XY = 11 cm, YZ = 14 cm, and XZ = 7 cm In $\triangle XYZ$, where XM is the median $(XY)^2+ (XZ)^2= 2(YM^2+ XM^2)$ Putting the values, we get: ⇒ $11^2+7^2=2(7^2+XM^2)$ ⇒ $121 + 49 = 98 +2 XM^2$ ⇒ $XM^2 =
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
He is (given to) gambling and drinking.
(1) given away
(2) given in
(3) given up
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The sentence is already correct and does not need any improvement, as the correct phrasal verb is used. "Given to" means to do something regularly out of habit, which is the intended meaning of the sentence that he
Question : Which blood group is universal acceptor ?
Option 1: O+
Option 2: O-
Option 3: AB-
Option 4: AB+
Correct Answer: AB+
Solution : The correct option is AB+.
Individuals with blood type AB positive (AB+) are commonly referred to as the "universal acceptor" since they can receive blood from donors of any ABO and Rh blood type without experiencing a serious immunological reaction. This is because their
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
A partial victory is sometimes all we can hope to _______.
Option 1: gain
Option 2: lose
Option 3: suffer
Option 4: reward
Correct Answer: gain
Solution : The first option is the correct answer.
Gain: To acquire or obtain something, often with a positive outcome.
Lose: To misplace or no longer possess something, typically resulting in a negative outcome.
Suffer: To experience pain, distress, or hardship.
Reward: A positive outcome
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