Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Area Average Bankers Discount Boats and Streams Calendar Chain Rule Clock Compound Interest Decimal Fraction Height and Distance Logarithm Mixture Numbers Odd Man Out and Series Partnership Percentage Permutation and Combination Pipes and Cistern Probability Problems on Ages Problems on H.C.F and L.C.M Problems on Numbers Problems on Trains Profit and Loss Races and Games Ratio and Proportion Simple Interest Simplification Square Root and Cube Root Stocks and Shares Surds and Indices Time and Distance Time and Work True Discount Volume and Surface Area

Q. From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If the distance from the point to the base of the hill is 20 meters, what is the height of the hill?

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

Solution

Height = distance * tan(45) = 20 * 1 = 20 m

Correct Answer: B — 20 m

Learn More →

Q. From a point on the ground, the angle of elevation to the top of a tower is 30 degrees. If the tower is 10 meters tall, how far is the point from the base of the tower?

A. 5√3 meters
B. 10 meters
C. 15 meters
D. 20 meters

Solution

Distance = height / tan(30) = 10 / (1/√3) = 10√3 meters.

Correct Answer: A — 5√3 meters

Learn More →

Q. From a point on the ground, the angle of elevation to the top of a tower is 30 degrees. If the point is 10 meters away from the base of the tower, what is the height of the tower?

A. 5 m
B. 8.66 m
C. 10 m
D. 17.32 m

Solution

Height = 10 * tan(30) = 10 * (1/√3) = 10 * 0.577 = 5.77 m

Correct Answer: D — 17.32 m

Learn More →

Q. From a point on the ground, the angle of elevation to the top of a tower is 45 degrees. If the point is 10 meters away from the base of the tower, what is the height of the tower?

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

Solution

Height = distance * tan(45) = 10 * 1 = 10 meters

Correct Answer: A — 10 meters

Learn More →

Q. From a point on the ground, the angle of elevation to the top of a tree is 45 degrees. If the point is 20 meters away from the base of the tree, what is the height of the tree?

A. 20 meters
B. 10 meters
C. 30 meters
D. 15 meters

Solution

Height = distance * tan(angle) = 20 * 1 = 20 meters.

Correct Answer: A — 20 meters

Learn More →

Q. From a point on the ground, the angle of elevation to the top of a tree is 45 degrees. If the tree is 10 meters tall, how far is the point from the base of the tree?

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

Solution

Distance = height / tan(angle) = 10 / 1 = 10 meters.

Correct Answer: A — 10 meters

Learn More →

Q. From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?

A. 100 meters
B. 150 meters
C. 173 meters
D. 200 meters

Solution

Distance = height / tan(angle) = 100 / (1/√3) = 100 * √3 = 173.21 meters.

Correct Answer: C — 173 meters

Learn More →

Q. From the top of a 40-meter high tower, the angle of depression to a point on the ground is 45 degrees. How far is the point from the base of the tower?

A. 40 meters
B. 30 meters
C. 50 meters
D. 20 meters

Solution

distance = height / tan(45) = 40 / 1 = 40 meters

Correct Answer: A — 40 meters

Learn More →

Q. From the top of a 40-meter high tower, the angle of depression to a point on the ground is 60 degrees. How far is the point from the base of the tower?

A. 20√3 meters
B. 40 meters
C. 30 meters
D. 50 meters

Solution

Distance = height / tan(angle) = 40 / (1/√3) = 40√3 meters.

Correct Answer: A — 20√3 meters

Learn More →

Q. From the top of a 50-meter high building, the angle of depression to a point on the ground is 30 degrees. How far is the point from the base of the building?

A. 25√3 meters
B. 50 meters
C. 75 meters
D. 100 meters

Solution

Distance = height / tan(angle) = 50 / (1/√3) = 50√3 meters.

Correct Answer: A — 25√3 meters

Learn More →

Q. From the top of a hill, the angle of depression to a car parked on the ground is 60 degrees. If the height of the hill is 80 meters, how far is the car from the base of the hill?

A. 40√3 meters
B. 80 meters
C. 60 meters
D. 100 meters

Solution

Distance = height / tan(angle) = 80 / (√3/3) = 80√3/3 = 40√3 meters.

Correct Answer: A — 40√3 meters

Learn More →

Q. From the top of a hill, the angle of depression to a car parked on the ground is 45 degrees. If the height of the hill is 100 meters, how far is the car from the base of the hill?

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

Solution

Distance = height / tan(angle) = 100 / 1 = 100 meters.

Correct Answer: A — 100 meters

Learn More →

Q. From the top of a hill, the angle of depression to a car parked on the road is 30 degrees. If the height of the hill is 60 meters, how far is the car from the base of the hill?

A. 60√3 meters
B. 30√3 meters
C. 90 meters
D. 120 meters

Solution

Distance = height / tan(angle) = 60 / (1/√3) = 60√3 meters.

Correct Answer: A — 60√3 meters

Learn More →

Q. From the top of a tower, the angle of depression to a point on the ground is 30 degrees. If the height of the tower is 50 meters, how far is the point from the base of the tower?

A. 25√3 meters
B. 50 meters
C. 100 meters
D. 75 meters

Solution

Distance = height / tan(angle) = 50 / (1/√3) = 50√3 meters.

Correct Answer: A — 25√3 meters

Learn More →

Q. G is 3 years older than H. If the sum of their ages is 45 years, how old is H?

A. 20
B. 21
C. 22
D. 23

Solution

Let H's age be x. Then G's age is x + 3. So, x + (x + 3) = 45. Solving gives x = 21.

Correct Answer: B — 21

Learn More →

Q. How many days are there from January 1, 2020 to December 31, 2020?

A. 364
B. 365
C. 366
D. 367

Solution

2020 is a leap year, so there are 366 days from January 1, 2020 to December 31, 2020.

Correct Answer: C — 366

Learn More →

Q. How many days are there in the year 2024?

A. 365
B. 366
C. 367
D. 368

Solution

2024 is a leap year, so it has 366 days.

Correct Answer: B — 366

Learn More →

Q. How many degrees does the hour hand move in 1 hour?

A. 30 degrees
B. 60 degrees
C. 15 degrees
D. 45 degrees

Solution

The hour hand moves 30 degrees in 1 hour (360 degrees / 12 hours).

Correct Answer: A — 30 degrees

Learn More →

Q. How many degrees does the minute hand move in 15 minutes?

A. 90 degrees
B. 75 degrees
C. 60 degrees
D. 45 degrees

Solution

The minute hand moves 6 degrees per minute. In 15 minutes, it moves 15 * 6 = 90 degrees.

Correct Answer: A — 90 degrees

Learn More →

Q. How many different 4-digit PIN codes can be formed using the digits 0-9 if digits cannot be repeated?

A. 5040
B. 10000
C. 9000
D. 1000

Solution

The number of different 4-digit PIN codes is P(10, 4) = 10! / (10-4)! = 5040.

Correct Answer: A — 5040

Learn More →

Q. How many different 4-digit PIN codes can be formed using the digits 0-9 if repetition is allowed?

A. 10000
B. 1000
C. 5000
D. 9000

Solution

The number of 4-digit PIN codes is 10^4 = 10000.

Correct Answer: A — 10000

Learn More →

Q. How many different 4-digit PIN codes can be formed using the digits 0-9 without repetition?

A. 5040
B. 10000
C. 9000
D. 1000

Solution

The number of different 4-digit PIN codes is P(10, 4) = 10! / (10-4)! = 5040.

Correct Answer: A — 5040

Learn More →

Q. How many different ways can 2 boys and 2 girls be selected from a group of 5 boys and 4 girls?

A. 60
B. 40
C. 20
D. 30

Solution

The number of ways is C(5, 2) * C(4, 2) = 10 * 6 = 60.

Correct Answer: A — 60

Learn More →

Q. How many different ways can 3 letters be chosen from the word 'APPLE'?

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

Solution

The number of ways to choose 3 letters from 'APPLE' (considering 'P' is repeated) is C(5, 3) = 10.

Correct Answer: A — 10

Learn More →

Q. How many different ways can 3 letters be chosen from the word 'COMPUTER'?

A. 56
B. 70
C. 80
D. 90

Solution

The number of ways to choose 3 letters from 8 is C(8, 3) = 56.

Correct Answer: A — 56

Learn More →

Q. How many different ways can 3 students be selected from a group of 10?

A. 120
B. 720
C. 10
D. 100

Solution

The number of ways to select 3 students from 10 is C(10, 3) = 10! / (3! * (10-3)!) = 120.

Correct Answer: A — 120

Learn More →

Q. How many different ways can the letters of the word 'BANANA' be arranged?

A. 60
B. 120
C. 30
D. 20

Solution

The number of arrangements is 6! / (3!) = 20.

Correct Answer: C — 30

Learn More →

Q. How many different ways can the letters of the word 'LEVEL' be arranged?

A. 60
B. 30
C. 20
D. 10

Solution

The number of arrangements of 'LEVEL' is 5! / (2! * 2!) = 30.

Correct Answer: A — 60

Learn More →

Q. How many leap years are there between 2000 and 2020, inclusive?

A. 5
B. 6
C. 7
D. 8

Solution

The leap years between 2000 and 2020 are 2000, 2004, 2008, 2012, 2016, and 2020. That makes a total of 6 leap years.

Correct Answer: A — 5

Learn More →

Q. How many leap years are there between 2000 and 2020?

A. 4
B. 5
C. 6
D. 7

Solution

Leap years between 2000 and 2020 are 2000, 2004, 2008, 2012, 2016, and 2020. Total = 5 leap years.

Correct Answer: B — 5

Learn More →

Showing 631 to 660 of 1390 (47 Pages)

Arithmetic Aptitude

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