Engineering & Architecture Admissions

JEE Main

Q. If 50 mL of a 2 M HCl solution is diluted to 200 mL, what is the new molarity?

A. 0.25 M
B. 0.5 M
C. 1 M
D. 2 M

Solution

Using the dilution formula M1V1 = M2V2, (2 M)(50 mL) = M2(200 mL) => M2 = 0.5 M.

Correct Answer: B — 0.5 M

Learn More →

Q. If 500 J of heat is added to a system and 200 J of work is done by the system, what is the change in internal energy?

A. 300 J
B. 500 J
C. 700 J
D. 200 J

Solution

According to the first law of thermodynamics, ΔU = Q - W. Here, ΔU = 500 J - 200 J = 300 J.

Correct Answer: A — 300 J

Learn More →

Q. If 5x - 7 < 3, what is the range of x?

A. x < 2
B. x > 2
C. x < 1
D. x > 1

Solution

5x - 7 < 3 => 5x < 10 => x < 2

Correct Answer: A — x < 2

Learn More →

Q. If 5x - 7 < 3, what is the value of x?

A. x < 2
B. x > 2
C. x < 1
D. x > 1

Solution

5x - 7 < 3 => 5x < 10 => x < 2

Correct Answer: A — x < 2

Learn More →

Q. If 5x - 7 < 3x + 1, what is the range of x?

A. x < 4
B. x > 4
C. x < 2
D. x > 2

Solution

5x - 7 < 3x + 1 => 2x < 8 => x < 4.

Correct Answer: A — x < 4

Learn More →

Q. If 5^(x+1) = 125, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

125 = 5^3, so x + 1 = 3, hence x = 2.

Correct Answer: B — 2

Learn More →

Q. If 5^(x-1) = 25, what is the value of x?

A. 2
B. 3
C. 4
D. 1

Solution

Since 25 = 5^2, we have 5^(x-1) = 5^2, thus x - 1 = 2, giving x = 3.

Correct Answer: A — 2

Learn More →

Q. If 5^x = 125, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

125 = 5^3 => x = 3

Correct Answer: C — 3

Learn More →

Q. If 5^x = 25, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

Since 25 = 5^2, we have 5^x = 5^2, thus x = 2.

Correct Answer: B — 2

Learn More →

Q. If 6x + 4 > 10, what is the value of x?

A. x < 1
B. x > 1
C. x < 2
D. x > 2

Solution

6x + 4 > 10 => 6x > 6 => x > 1.

Correct Answer: B — x > 1

Learn More →

Q. If 7 - 2x > 3, what is the value of x?

A. x < 2
B. x > 2
C. x ≤ 2
D. x ≥ 2

Solution

7 - 2x > 3 => -2x > -4 => x < 2.

Correct Answer: B — x > 2

Learn More →

Q. If 7 - 2x ≥ 1, what is the range of x?

A. x ≤ 3
B. x ≥ 3
C. x < 3
D. x > 3

Solution

7 - 2x ≥ 1 => -2x ≥ -6 => x ≤ 3

Correct Answer: B — x ≥ 3

Learn More →

Q. If 7 - 2x ≥ 3, what is the value of x?

A. x ≤ 2
B. x ≥ 2
C. x < 2
D. x > 2

Solution

7 - 2x ≥ 3 => -2x ≥ -4 => x ≤ 2.

Correct Answer: B — x ≥ 2

Learn More →

Q. If 7 - 3x ≤ 1, what is the value of x?

A. x ≤ 2
B. x ≥ 2
C. x < 2
D. x > 2

Solution

7 - 3x ≤ 1 => -3x ≤ -6 => x ≥ 2.

Correct Answer: B — x ≥ 2

Learn More →

Q. If 7 - 3x ≥ 1, what is the solution for x?

A. x ≤ 2
B. x ≥ 2
C. x ≤ 3
D. x ≥ 3

Solution

7 - 3x ≥ 1 => -3x ≥ -6 => x ≤ 2.

Correct Answer: B — x ≥ 2

Learn More →

Q. If 7x + 1 ≥ 15, what is the value of x?

A. x ≥ 2
B. x < 2
C. x > 2
D. x ≤ 2

Solution

7x + 1 ≥ 15 => 7x ≥ 14 => x ≥ 2

Correct Answer: A — x ≥ 2

Learn More →

Q. If 7x - 3 = 4x + 6, what is the value of x?

A. 3
B. 2
C. 1
D. 0

Solution

Subtracting 4x from both sides gives 3x - 3 = 6, then adding 3 gives 3x = 9, leading to x = 3.

Correct Answer: B — 2

Learn More →

Q. If 7x = 21, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

Dividing both sides by 7 gives x = 3.

Correct Answer: C — 3

Learn More →

Q. If 7^(x) = 49, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

49 = 7^2, so x = 2.

Correct Answer: B — 2

Learn More →

Q. If 8^(x) = 64, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

64 = 8^2, so x = 2.

Correct Answer: B — 2

Learn More →

Q. If a + b = 10 and ab = 21, what are the values of a and b?

A. 3 and 7
B. 4 and 6
C. 5 and 5
D. 2 and 8

Solution

The roots of the equation x^2 - 10x + 21 = 0 are found using the quadratic formula, yielding a = 3 and b = 7.

Correct Answer: A — 3 and 7

Learn More →

Q. If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

A. 49
B. 59
C. 61
D. 41

Solution

Using the identity a^2 + b^2 = (a + b)^2 - 2ab, we get a^2 + b^2 = 10^2 - 2*21 = 100 - 42 = 58.

Correct Answer: A — 49

Learn More →

Q. If a 10 kg object is dropped from a height of 20 m, what is its potential energy at the top? (1960)

A. 200 J
B. 1000 J
C. 500 J
D. 1500 J

Solution

Potential Energy (PE) = m * g * h = 10 kg * 9.8 m/s^2 * 20 m = 1960 J

Correct Answer: B — 1000 J

Learn More →

Q. If a 10 kg object is dropped from a height of 5 m, what is the potential energy at that height?

A. 50 J
B. 100 J
C. 150 J
D. 200 J

Solution

Potential energy = mgh = 10 kg × 9.8 m/s² × 5 m = 490 J.

Correct Answer: B — 100 J

Learn More →

Q. If a 10 kg object is in free fall, what is the force acting on it due to gravity?

A. 10 N
B. 20 N
C. 30 N
D. 40 N

Solution

The force due to gravity is F = mg = 10 kg * 9.8 m/s² = 98 N, which rounds to 100 N.

Correct Answer: B — 20 N

Learn More →

Q. If a 10 kg object is moving with a velocity of 4 m/s, what is its kinetic energy?

A. 80 J
B. 40 J
C. 20 J
D. 160 J

Solution

Kinetic Energy (KE) = 1/2 * m * v^2 = 1/2 * 10 * (4^2) = 80 J

Correct Answer: A — 80 J

Learn More →

Q. If a 10 kg object is pulled with a force of 30 N, what is its acceleration?

A. 1 m/s²
B. 2 m/s²
C. 3 m/s²
D. 4 m/s²

Solution

Using F = ma, acceleration a = F/m = 30 N / 10 kg = 3 m/s².

Correct Answer: C — 3 m/s²

Learn More →

Q. If a 10 kg object is pulled with a force of 50 N, what is its acceleration?

A. 2 m/s²
B. 5 m/s²
C. 10 m/s²
D. 20 m/s²

Solution

Using F = ma, a = F/m = 50 N / 10 kg = 5 m/s².

Correct Answer: B — 5 m/s²

Learn More →

Q. If a 10 kg object is subjected to a net force of 30 N, what is the object's acceleration?

A. 3 m/s²
B. 2 m/s²
C. 1.5 m/s²
D. 4 m/s²

Solution

Using F = ma, a = F/m = 30 N / 10 kg = 3 m/s².

Correct Answer: A — 3 m/s²

Learn More →

Q. If a 10 kg object is subjected to a net force of 30 N, what will be its acceleration?

A. 3 m/s²
B. 0.3 m/s²
C. 30 m/s²
D. 300 m/s²

Solution

Using F = ma, acceleration a = F/m = 30 N / 10 kg = 3 m/s².

Correct Answer: A — 3 m/s²

Learn More →

Showing 2701 to 2730 of 10700 (357 Pages)

Engineering & Architecture Admissions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?