Joint Entrance Examination (Main)
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To secure admission in the CSE branch at Delhi Technological University (DTU) under the General category with a Defence quota (Outside Delhi region), your JEE Main All India Rank should ideally fall within the top 34,000–35,000 range.
This estimate is based on recent cutoff trends
Question : Directions: Select the related letter/number from the given alternatives. N x M : 14 x 13 : : X x Z : ?
Option 1: 24 x 23
Option 2: 23 x 24
Option 3: 24 x 26
Option 4: 26 x 23
Correct Answer: 24 x 26
Solution : Given: N x M : 14 x 13 : : X x Z : ?
Find the positional values of the letter. Like, N = 14; M = 13 : 14 x 13 Similarly, X = 24; Z = 26 : 24 x
Question : Directions: Arjun starts from school and walks 4 km towards the west, turns right, and walks 3 km. Then he planned to return to school but only through the shortest path. What is the shortest distance between the school and the point where he stopped?
Option 1: 3 km
Option 2: 16 km
Option 3: 25 km
Option 4: 5 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance from the starting point and to the endpoint travel by Arjun.
Here, A is the starting point and C is the finishing point of
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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
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
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