Prayas JEE 2025 Practice Test

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Questions and Answers

What is the correct work done value?

11 units
-22 units
0 units
22 units (correct)

What is the result of the cross product of the vectors indicated?

̂ ̂ ̂
̂ ̂ ̂
̂ ̂ ̂
̂ ̂ ̂ (correct)

What is the greatest value of the given function?

7
17 (correct)
13
12

What should a student do immediately upon receiving the test booklet?

Fill in the particulars on the page (C) Signup and view all the answers

Which of the following best represents the integral ∫ ( )?

(A), (B), (C), (D) Signup and view all the answers

How many questions are there total in the test?

90 questions (C) Signup and view all the answers

What is the average velocity of a man walking east and then north for equal time 't' with velocity 'v'?

$√2v$ (D) Signup and view all the answers

If a particle moves in the x-y plane, which of the following best describes its coordinates as they vary with time?

Linear (B) Signup and view all the answers

Which section consists of chemistry questions?

Section II (A) Signup and view all the answers

When finding the angle between two vectors, what is the relevant information needed?

Dot product of vectors (C) Signup and view all the answers

What is the consequence of giving a wrong answer in the MCQ section?

1 mark is deducted (A) Signup and view all the answers

What is permitted on the OMR sheet?

Writing only in specified areas (A) Signup and view all the answers

What is true about the average velocity of an object moving in two dimensions?

It can be expressed as a vector (B) Signup and view all the answers

What types of response does the OMR sheet require?

Completely darkened bubbles (D) Signup and view all the answers

How many total marks can a student achieve in the test?

300 marks (A) Signup and view all the answers

What should students do with their answer sheets at the conclusion of the test?

Hand it over to the invigilator (D) Signup and view all the answers

What is the shape of the trajectory of the particle?

Parabola (A) Signup and view all the answers

If a car covers 2/5th of the total distance at one speed and 3/5th at a different speed, what is the correct formula to find the average speed?

Total distance / Total time (B) Signup and view all the answers

How far above the ground is the second drop from a tap 5 m high just as the first drop touches the ground?

3.75 m (C) Signup and view all the answers

If a particle moves a distance x in time t, what is the relationship of acceleration to displacement?

Acceleration is proportional to displacement (C) Signup and view all the answers

In the acceleration vs. displacement graph for a particle, if the initial velocity is zero, what can be inferred about the particle's motion?

Its velocity increases linearly (B) Signup and view all the answers

What can be said about the average velocity when a particle is in uniform motion?

It is equal to instantaneous velocity (D) Signup and view all the answers

Which option correctly describes how velocity varies with time for a particle starting from rest?

Velocity increases linearly with time (A) Signup and view all the answers

If a particle's velocity varies as the square root of time, how is displacement related to time?

Displacement varies with the square root of time (C) Signup and view all the answers

What initial speed must a ball have if it reaches a height of 80 m after 6 seconds? (Take g = 10 m/s²)

30 m/s (D) Signup and view all the answers

What is the distance travelled by a particle that moves along the path given by the equation $y = 2x^{3/2}$ when it reaches at $x = 7$ m?

1024/3n m (B) Signup and view all the answers

When two forces F1 and F2 are acting on a particle, the resultant force will always act in the direction of what?

Acceleration of the particle (C) Signup and view all the answers

If a stone is projected with a velocity of 25 m/s and clears a wall of height 5 m after 2 seconds, what is the angle of projection? (Take g = 10 m/s²)

45 degrees (C) Signup and view all the answers

If two unit vectors are at right angles to each other, what is the resultant magnitude of their vector sum?

$\sqrt{2}$ (D) Signup and view all the answers

If a stone is dropped from a height and takes 5 seconds to reach the ground, how long will it take to reach the ground after being stopped for 3 seconds?

2 seconds (D) Signup and view all the answers

The vapour density of a metal chloride is given. If its equivalent weight is known, what can be found?

Atomic mass (D) Signup and view all the answers

What is the conversion of a measured temperature from Fahrenheit to Celsius if given?

Subtract 32 and divide by 1.8 (C) Signup and view all the answers

Which type of reaction is characterized by both oxidation and reduction occurring?

Disproportionation reaction (B) Signup and view all the answers

What is the mass percent of carbon in carbon dioxide?

27.27% (C) Signup and view all the answers

In the rusting of iron, which statement is incorrect?

Water acts as a reducing agent (B) Signup and view all the answers

If the density of a solution is given, what is the correct way to express the mass of the solution in significant figures?

Use the total number of significant figures from the density (C) Signup and view all the answers

What could be a possible value of x if one mole of electron is gained or lost per mole of substance?

1 (A) Signup and view all the answers

In basic medium, which of the following substances may disproportionate?

Sulfur (C) Signup and view all the answers

Which of the following statements accurately describes oxidation states?

Sulphur can exhibit oxidation states of +2 and +4 (B) Signup and view all the answers

What is the side in which ions should be added during a balancing reaction?

Depends on the reaction (D) Signup and view all the answers

If the roots of a quadratic equation are denoted as $ ext{a}$ and $ ext{b}$, which of the following represents the quadratic equation?

$x^2 - (a+b)x + ab = 0$ (A) Signup and view all the answers

If $|3x - 2| + x = 11$, what is the possible value of $x$?

4 (C) Signup and view all the answers

How many natural numbers $n$ exist such that $(x - 8)x = n(n - 10)$ has no real solutions?

0 (D) Signup and view all the answers

What is the value of $2r - p$ if the equations have common roots?

0 (D) Signup and view all the answers

If the sum of all possible solutions of $|x| - 4 = 0$ is represented as $k$, what is the value of $k$?

0 (C) Signup and view all the answers

If $\lambda_1$ and $\lambda_2$ are the roots, what can be said about their values if they satisfy a particular quadratic equation?

They must be real (C) Signup and view all the answers

What value of $x$ satisfies the equation $2^{24} x - 5 eq 3$?

1 (D) Signup and view all the answers

What is the smallest positive integer $m$ that satisfies the equation $|m| = |3m - 6|$?

4 (C) Signup and view all the answers

Flashcards

JEE Exam

A competitive exam for admission to engineering colleges in India.

Multiple Choice Questions (MCQs)

A type of question in which students select the correct answer from a given set of options.