Joint Entrance Examination (Main)
Question : Find the value of $\sqrt{30+\sqrt{30+\sqrt{30+...}}}$ :
Option 1: 5
Option 2: $3\sqrt{10}$
Option 3: 6
Option 4: 7
Correct Answer: 6
Solution : Let $x = \sqrt{30+\sqrt{30+\sqrt{30+...}}}$ So, ${x = }\sqrt{30+x}$ By squaring both sides, we get, $⇒x^{2}=(\sqrt{30+x})^{2}$ $⇒x^{2}=30+x$ $⇒x^{2}–x–30=0$ $⇒x^{2}– 6x+5x–30=0$ $⇒x(x–6)+5(x–6) = 0$ $⇒(x–6)(x+5)=0$ $⇒x=6,–5$ A square root cannot be negative. Thus, $x$ cannot be –5. So, $x = 6$ Hence, the correct answer is 6.
Question : Which objective of government budget is highlighted here? Investment in infrastructure projects helps to create job opportunities for different sections of the society. In the urban areas various schemes like MNREGA, SJSRY, etc takes place.
Option 1: Management of public enterprises
Option 2: Economic growth
Option 3: Reducing regional disparities
Option 4: Employment generation
Correct Answer: Employment generation
Solution : Under employment generation, government takes various measures to create employment opportunities which involves investment in infrastructure project in various schemes like MNREGA, SJSRY, etc. Hence Option D is correct.
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
Susan had recently run on to / Catherine at the supermarket, they / were seeing each other after many years.
Option 1: were seeing each other after many years.
Option 2: Catherine at the supermarket, they
Option 3: No error
Option 4: Susan had recently run on to
Correct Answer: were seeing each other after many years.
Solution : The error lies in the first option.
Explanation: The error in the original sentence is the use of "were seeing" instead of the past tense "saw". The correction "they saw each other after many years" is appropriate because
Question : The country in East Asia which is most conspicuous for its decreasing population growth since 1981 is:
Option 1: South Korea
Option 2: Thailand
Option 3: China
Option 4: Japan
Correct Answer: Japan
Solution : The correct answer is Japan.
Japan stands out due to its slower population growth since 1981. Recent population statistics from China, Japan and South Korea indicate that these East Asian nations are experiencing negative population growth. There is a demographic crisis in Japan. Despite government
Question : Loss of water in plants in the form of liquid is known as:
Option 1: transpiration
Option 2: osmosis
Option 3: guttation
Option 4: imbibition
Correct Answer: guttation
Solution : The correct option is guttation.
Guttation is the process by which plants pass liquid water from their leaf tips due to root pressure, which occurs when water absorption exceeds transpiration, which occurs frequently in the morning or humid weather. Guttation occurs via specialised structures
Question : Directions: In a code language, OBESITY is written as EBOHYTI. How will FIXTURE be written in that language?
Option 1: XIFGERU
Option 2: XIFMERU
Option 3: XIFGEUS
Option 4: IFYGERU
Correct Answer: XIFGERU
Solution : Given: OBESITY is written as EBOHYTI.
Change the position of the first and last three letters and write the opposite letter of the middle letter of OBESITY, to obtain the required code –
Thus, OBESITY is coded as EBOHYTI. Similarly, follow the same pattern for
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