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Joint Entrance Examination (Main)

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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

Team Careers360 23rd Jan, 2024

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.

27 Views

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

Team Careers360 22nd Jan, 2024

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

18 Views

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

Team Careers360 21st Jan, 2024

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

15 Views

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

Team Careers360 21st Jan, 2024

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

7 Views

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

Team Careers360 25th Jan, 2024

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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