Major Competitive Exams

Civil Services Defence Exams Engineering & Architecture Admissions Government Jobs Management Admissions Undergraduate

Q. If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming it is zero at infinity?

A. -10 J/kg
B. -5 J/kg
C. 0 J/kg
D. 10 J/kg

Solution

The gravitational potential V is related to the gravitational field strength g by V = -g * r. If we consider r to be 1 meter, V = -10 * 1 = -10 J/kg.

Correct Answer: A — -10 J/kg

Learn More →

Q. If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point, assuming it is 2 meters from the mass creating the field?

A. -20 J/kg
B. -10 J/kg
C. 0 J/kg
D. -5 J/kg

Solution

Gravitational potential V = -g * r = -10 N/kg * 2 m = -20 J/kg.

Correct Answer: A — -20 J/kg

Learn More →

Q. If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point, assuming it is 2 meters above the reference point?

A. -20 J/kg
B. -10 J/kg
C. 0 J/kg
D. -5 J/kg

Solution

Gravitational potential V = -g * h = -10 N/kg * 2 m = -20 J/kg.

Correct Answer: A — -20 J/kg

Learn More →

Q. If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming it is 2 meters from the mass?

A. -20 J/kg
B. -10 J/kg
C. 0 J/kg
D. -5 J/kg

Solution

Gravitational potential V = -g * r = -10 * 2 = -20 J/kg.

Correct Answer: A — -20 J/kg

Learn More →

Q. If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming it is at a distance of 2 m from the mass?

A. -20 J/kg
B. -10 J/kg
C. 0 J/kg
D. -5 J/kg

Solution

Gravitational potential V = -g * r = -10 * 2 = -20 J/kg.

Correct Answer: A — -20 J/kg

Learn More →

Q. If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming the reference point is at infinity?

A. -10 J/kg
B. 10 J/kg
C. 0 J/kg
D. -5 J/kg

Solution

The gravitational potential V is related to the gravitational field strength g by V = -g * r. If we consider r to be 1 meter, V = -10 * 1 = -10 J/kg.

Correct Answer: A — -10 J/kg

Learn More →

Q. If the gravitational force between two objects is 20 N and the distance between them is doubled, what will be the new force?

A. 5 N
B. 10 N
C. 20 N
D. 40 N

Solution

F is inversely proportional to r². If r is doubled, F becomes F/4 = 20 N / 4 = 5 N.

Correct Answer: A — 5 N

Learn More →

Q. If the gravitational potential at a point is -15 J/kg and the gravitational field strength is constant at 3 N/kg, what is the distance from the mass?

A. 5 m
B. 10 m
C. 15 m
D. 20 m

Solution

Using V = -g * r, we have -15 = -3 * r, thus r = 15/3 = 5 m.

Correct Answer: B — 10 m

Learn More →

Q. If the gravitational potential at a point is -20 J/kg and the gravitational field strength is 4 N/kg, what is the distance from the mass?

A. 5 m
B. 10 m
C. 15 m
D. 20 m

Solution

Using V = -g * r, we have -20 = -4 * r, thus r = 20/4 = 5 m.

Correct Answer: B — 10 m

Learn More →

Q. If the gravitational potential at a point is -30 J/kg and the gravitational field strength is 5 N/kg, what is the distance from the mass?

A. 6 m
B. 3 m
C. 5 m
D. 4 m

Solution

Using V = -g * r, we have -30 = -5 * r, thus r = 30/5 = 6 m.

Correct Answer: B — 3 m

Learn More →

Q. If the gravitational potential at a point is -30 J/kg, what is the gravitational field strength at that point?

A. 3 N/kg
B. 30 N/kg
C. 0 N/kg
D. Cannot be determined

Solution

The gravitational field strength can be found using the relation E = -dV/dr. If V = -30 J/kg, E = 3 N/kg.

Correct Answer: A — 3 N/kg

Learn More →

Q. If the HCF of 18 and 24 is 6, what is the LCM of these two numbers? (2023)

A. 72
B. 36
C. 48
D. 60

Solution

Using the relation HCF * LCM = Product of the numbers, we have 6 * LCM = 18 * 24. Thus, LCM = (18 * 24) / 6 = 72.

Correct Answer: A — 72

Learn More →

Q. If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)

A. 72
B. 48
C. 60
D. 84

Solution

Using the relation HCF * LCM = Product of the numbers, we have LCM = (24 * 36) / 12 = 72.

Correct Answer: A — 72

Learn More →

Q. If the HCF of three numbers is 1, which of the following can be true?

A. All three numbers are prime
B. All three numbers are even
C. All three numbers are odd
D. Two numbers are even and one is odd

Solution

If the HCF is 1, it is possible that all three numbers are prime, as they would not share any common factors.

Correct Answer: A — All three numbers are prime

Learn More →

Q. If the HCF of three numbers is 5 and their LCM is 300, what can be said about the numbers?

A. They are all multiples of 5
B. They are all prime
C. They are all even
D. They are all odd

Solution

Since the HCF is 5, all three numbers must be multiples of 5.

Correct Answer: A — They are all multiples of 5

Learn More →

Q. If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)

A. 1500
B. 3000
C. 6000
D. 7500

Solution

The product of the three numbers is equal to HCF * LCM = 5 * 300 = 1500.

Correct Answer: B — 3000

Learn More →

Q. If the HCF of three numbers is 7 and their LCM is 420, what is the maximum possible value of the product of these three numbers? (2023)

A. 2940
B. 840
C. 1260
D. 2100

Solution

The product of the three numbers is equal to HCF * LCM. Thus, 7 * 420 = 2940.

Correct Answer: C — 1260

Learn More →

Q. If the HCF of three numbers is 7 and their LCM is 420, what is the product of the three numbers? (2023)

A. 2940
B. 840
C. 2100
D. 1470

Solution

The product of the three numbers = HCF * LCM = 7 * 420 = 2940.

Correct Answer: A — 2940

Learn More →

Q. If the HCF of two numbers is 1, what can be inferred about the two numbers? (2023)

A. They are both prime.
B. They are coprime.
C. They are multiples of each other.
D. They are both even.

Solution

If the HCF is 1, it means the two numbers are coprime, meaning they have no common factors other than 1.

Correct Answer: B — They are coprime.

Learn More →

Q. If the HCF of two numbers is 1, what can be said about the two numbers? (2023)

A. They are prime
B. They are coprime
C. They are even
D. They are odd

Solution

If the HCF is 1, the two numbers are coprime, meaning they have no common factors other than 1.

Correct Answer: B — They are coprime

Learn More →

Q. If the HCF of two numbers is 12 and their LCM is 120, what is the product of the two numbers?

A. 144
B. 1200
C. 240
D. 100

Solution

The product of two numbers is equal to the product of their HCF and LCM. Therefore, the product = 12 * 120 = 1440.

Correct Answer: B — 1200

Learn More →

Q. If the HCF of two numbers is 12 and their LCM is 144, what is the product of the two numbers? (2023)

A. 1728
B. 864
C. 144
D. 288

Solution

The product of two numbers is equal to the product of their HCF and LCM. Therefore, 12 * 144 = 1728.

Correct Answer: A — 1728

Learn More →

Q. If the HCF of two numbers is 15 and their product is 450, what is their LCM?

A. 30
B. 45
C. 60
D. 75

Solution

The LCM can be found using the formula: LCM = (Product of the numbers) / HCF. Thus, LCM = 450 / 15 = 30.

Correct Answer: B — 45

Learn More →

Q. If the HCF of two numbers is 5 and their LCM is 100, what is the sum of the two numbers? (2023)

A. 30
B. 25
C. 50
D. 45

Solution

Let the two numbers be 5x and 5y. Then, HCF(5x, 5y) = 5 and LCM(5x, 5y) = 100. This gives xy = 20. The pairs (x, y) that satisfy this are (4, 5) or (5, 4), leading to the sum 5(4 + 5) = 45.

Correct Answer: A — 30

Learn More →

Q. If the HCF of two numbers is 5 and their LCM is 100, what is the sum of the two numbers if one of them is 25?

A. 50
B. 75
C. 100
D. 125

Solution

Let the other number be x. Then, HCF(25, x) = 5 and LCM(25, x) = 100. Therefore, 25 * x = 5 * 100, which gives x = 20. The sum is 25 + 20 = 45.

Correct Answer: A — 50

Learn More →

Q. If the HCF of two numbers is 5 and their product is 100, what could be the two numbers? (2023)

A. 5 and 20
B. 10 and 10
C. 15 and 5
D. 25 and 4

Solution

If HCF is 5, the two numbers can be expressed as 5a and 5b. Thus, 5a * 5b = 100 implies ab = 4. The pair (1, 4) gives us 5 and 20.

Correct Answer: A — 5 and 20

Learn More →

Q. If the HCF of two numbers is 5 and their product is 100, what is their LCM?

A. 20
B. 25
C. 15
D. 10

Solution

Using the relationship between HCF, LCM, and product: HCF * LCM = Product. Thus, LCM = 100 / 5 = 20.

Correct Answer: B — 25

Learn More →

Q. If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)

A. 200
B. 100
C. 250
D. 150

Solution

Using the relation HCF * LCM = Product of the numbers, we have LCM = 1000 / 5 = 200.

Correct Answer: A — 200

Learn More →

Q. If the HCF of two numbers is 8 and their LCM is 48, what could be one of the possible pairs of numbers? (2023)

A. 16 and 24
B. 8 and 32
C. 4 and 12
D. 20 and 16

Solution

The numbers can be 16 and 24, as their HCF is 8 and LCM is 48.

Correct Answer: A — 16 and 24

Learn More →

Q. If the HCF of two numbers is 8 and their product is 288, what is their LCM? (2023)

A. 36
B. 24
C. 32
D. 48

Solution

Using the relationship between HCF, LCM, and the product of two numbers: LCM = Product / HCF = 288 / 8 = 36.

Correct Answer: A — 36

Learn More →

Showing 9811 to 9840 of 29422 (981 Pages)

Major Competitive Exams

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