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. What is the angle between the hour and minute hands at 12:30?

A. 165 degrees
B. 180 degrees
C. 150 degrees
D. 120 degrees

Solution

At 12:30, the hour hand is at 165 degrees (12*30 + 30*0.5) and the minute hand is at 180 degrees. The angle between them is |165 - 180| = 15 degrees.

Correct Answer: A — 165 degrees

Learn More →

Q. What is the angle between the hour and minute hands at 12:45?

A. 135 degrees
B. 150 degrees
C. 165 degrees
D. 180 degrees

Solution

At 12:45, the hour hand is at 337.5 degrees (12 hours * 30 degrees + 45 minutes * 0.5 degrees) and the minute hand is at 270 degrees (45 minutes * 6 degrees). The angle between them is |337.5 - 270| = 67.5 degrees.

Correct Answer: B — 150 degrees

Learn More →

Q. What is the angle between the hour and minute hands at 5:25?

A. 120 degrees
B. 130 degrees
C. 140 degrees
D. 150 degrees

Solution

At 5:25, the hour hand is at 162.5 degrees (5 hours * 30 degrees + 25 minutes * 0.5 degrees) and the minute hand is at 150 degrees (25 minutes * 6 degrees). The angle between them is |162.5 - 150| = 12.5 degrees.

Correct Answer: B — 130 degrees

Learn More →

Q. What is the angle between the hour hand and the minute hand at 12:30?

A. 165 degrees
B. 180 degrees
C. 150 degrees
D. 120 degrees

Solution

At 12:30, the hour hand is at 165 degrees (12*30 + 30*0.5) and the minute hand is at 180 degrees (30*6). The angle between them is |165 - 180| = 15 degrees.

Correct Answer: A — 165 degrees

Learn More →

Q. What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)

A. 78.5 cm²
B. 31.4 cm²
C. 50 cm²
D. 100 cm²

Solution

Radius = diameter/2 = 10 cm/2 = 5 cm. Area = π × radius² = 3.14 × (5 cm)² = 78.5 cm².

Correct Answer: A — 78.5 cm²

Learn More →

Q. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?

A. 50 cm²
B. 40 cm²
C. 30 cm²
D. 60 cm²

Solution

Area = length × width = 10 cm × 5 cm = 50 cm².

Correct Answer: A — 50 cm²

Learn More →

Q. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?

A. 30 cm²
B. 40 cm²
C. 50 cm²
D. 60 cm²

Solution

Area = length × width = 8 cm × 5 cm = 40 cm².

Correct Answer: B — 40 cm²

Learn More →

Q. What is the area of a rectangle with length 10 cm and width 5 cm?

A. 50 cm²
B. 15 cm²
C. 25 cm²
D. 30 cm²

Solution

Area = length × width = 10 cm × 5 cm = 50 cm².

Correct Answer: A — 50 cm²

Learn More →

Q. What is the area of a regular hexagon with a side length of 3 m?

A. 15.59 m²
B. 18.00 m²
C. 23.38 m²
D. 27.00 m²

Solution

Area = (3√3/2) × side² = (3√3/2) × (3 m)² ≈ 15.59 m².

Correct Answer: A — 15.59 m²

Learn More →

Q. What is the area of a rhombus with diagonals of 10 cm and 6 cm?

A. 30 cm²
B. 40 cm²
C. 20 cm²
D. 50 cm²

Solution

Area = 1/2 × diagonal1 × diagonal2 = 1/2 × 10 cm × 6 cm = 30 cm².

Correct Answer: A — 30 cm²

Learn More →

Q. What is the area of a rhombus with diagonals of 10 cm and 8 cm?

A. 40 cm²
B. 45 cm²
C. 50 cm²
D. 55 cm²

Solution

Area = 1/2 × d1 × d2 = 1/2 × 10 cm × 8 cm = 40 cm².

Correct Answer: A — 40 cm²

Learn More →

Q. What is the area of a rhombus with diagonals of lengths 10 cm and 24 cm?

A. 120 cm²
B. 60 cm²
C. 80 cm²
D. 100 cm²

Solution

Area = (d1 × d2) / 2 = (10 cm × 24 cm) / 2 = 120 cm².

Correct Answer: A — 120 cm²

Learn More →

Q. What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?

A. 17.45 cm²
B. 20.93 cm²
C. 15.71 cm²
D. 25.13 cm²

Solution

Area = (θ/360) × π × radius² = (60/360) × 3.14 × (10 cm)² = 17.45 cm².

Correct Answer: A — 17.45 cm²

Learn More →

Q. What is the area of a sector of a circle with a radius of 10 cm and an angle of 60 degrees? (Use π = 3.14)

A. 17.5 cm²
B. 15.7 cm²
C. 20.9 cm²
D. 25.0 cm²

Solution

Area = (θ/360) × π × r² = (60/360) × 3.14 × (10 cm)² = 17.5 cm².

Correct Answer: A — 17.5 cm²

Learn More →

Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees?

A. 6.28 m²
B. 12.56 m²
C. 3.14 m²
D. 9.42 m²

Solution

Area of sector = (θ/360) × πr² = (90/360) × π × (4 m)² = (1/4) × 3.14 × 16 m² = 12.56 m².

Correct Answer: B — 12.56 m²

Learn More →

Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees? (Use π = 3.14)

A. 12.56 m²
B. 6.28 m²
C. 3.14 m²
D. 9.42 m²

Solution

Area of sector = (θ/360) × πr² = (90/360) × 3.14 × (4 m)² = 12.56 m² / 4 = 3.14 m².

Correct Answer: B — 6.28 m²

Learn More →

Q. What is the area of a sector of a circle with a radius of 5 cm and a central angle of 60 degrees? (Use π = 3.14)

A. 13.09 cm²
B. 15.71 cm²
C. 10.42 cm²
D. 12.27 cm²

Solution

Area of sector = (θ/360) × πr² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².

Correct Answer: A — 13.09 cm²

Learn More →

Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14)

A. 18.84 cm²
B. 12.56 cm²
C. 9.42 cm²
D. 6.28 cm²

Solution

Area = (θ/360) × π × r² = (60/360) × 3.14 × (6 cm)² = 18.84 cm².

Correct Answer: A — 18.84 cm²

Learn More →

Q. What is the area of a square with a side length of 4 m?

A. 8 m²
B. 12 m²
C. 16 m²
D. 20 m²

Solution

Area = side × side = 4 m × 4 m = 16 m².

Correct Answer: C — 16 m²

Learn More →

Q. What is the area of a trapezoid with bases of 10 m and 6 m, and a height of 4 m?

A. 40 m²
B. 32 m²
C. 24 m²
D. 36 m²

Solution

Area = 1/2 × (base1 + base2) × height = 1/2 × (10 m + 6 m) × 4 m = 32 m².

Correct Answer: B — 32 m²

Learn More →

Q. What is the area of a trapezoid with bases of 10 meters and 6 meters, and a height of 4 meters?

A. 40
B. 32
C. 36
D. 28

Solution

Area = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 square meters.

Correct Answer: B — 32

Learn More →

Q. What is the average of the first five prime numbers?

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

Solution

The first five prime numbers are 2, 3, 5, 7, 11. Average = (2 + 3 + 5 + 7 + 11) / 5 = 28 / 5 = 5.6.

Correct Answer: C — 7

Learn More →

Q. What is the average of the following numbers: 0.5, 0.75, 1.25?

A. 0.75
B. 0.85
C. 0.95
D. 1.05

Solution

Average = (0.5 + 0.75 + 1.25) / 3 = 2.5 / 3 = 0.8333, which rounds to 0.75

Correct Answer: A — 0.75

Learn More →

Q. What is the average of the numbers 0.5, 0.75, and 1.25?

A. 0.75
B. 0.85
C. 0.65
D. 0.95

Solution

Average = (0.5 + 0.75 + 1.25) / 3 = 2.5 / 3 = 0.75

Correct Answer: A — 0.75

Learn More →

Q. What is the average of the numbers 10, 20, 30, 40, and 50?

A. 30
B. 25
C. 35
D. 40

Solution

Average = (10 + 20 + 30 + 40 + 50) / 5 = 150 / 5 = 30.

Correct Answer: A — 30

Learn More →

Q. What is the average of the numbers 10, 20, 30, and 40?

A. 25
B. 30
C. 35
D. 40

Solution

Average = (10 + 20 + 30 + 40) / 4 = 100 / 4 = 25.

Correct Answer: B — 30

Learn More →

Q. What is the average of the numbers 10, 20, and 30?

A. 15
B. 20
C. 25
D. 30

Solution

The average is (10 + 20 + 30) / 3 = 60 / 3 = 20.

Correct Answer: B — 20

Learn More →

Q. What is the Banker's Discount on a bill of $2500 due in 9 months at a rate of 8%?

A. $150
B. $120
C. $100
D. $180

Solution

Banker's Discount = (2500 x 8 x 9/12) / 100 = $150

Correct Answer: A — $150

Learn More →

Q. What is the Banker's Discount on a bill of $500 due in 3 months at a rate of 6% per annum?

A. $7.50
B. $8.00
C. $9.00
D. $10.00

Solution

Banker's Discount = (Principal x Rate x Time) / 100 = (500 x 6 x 3/12) / 100 = $7.50

Correct Answer: A — $7.50

Learn More →

Q. What is the Banker's Discount on a bill of Rs. 2000 due in 4 months at 15% per annum?

A. Rs. 100
B. Rs. 80
C. Rs. 60
D. Rs. 120

Solution

Banker's Discount = (2000 * 15 * 4/12) / 100 = Rs. 100.

Correct Answer: B — Rs. 80

Learn More →

Showing 1261 to 1290 of 1390 (47 Pages)

Arithmetic Aptitude

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