General Aptitude
Q. A tree is 30 meters tall. If the angle of elevation from a point 40 meters away from the base of the tree is θ, what is tan(θ)?
A.
0.75
B.
0.6
C.
0.5
D.
0.8
Show solution
Solution
tan(θ) = height / distance = 30 / 40 = 0.75
Correct Answer: A — 0.75
Learn More →
Q. A triangle has a base of 10 m and a height of 6 m. What is its area?
A.
30 m²
B.
40 m²
C.
50 m²
D.
60 m²
Show solution
Solution
Area = 1/2 × base × height = 1/2 × 10 m × 6 m = 30 m².
Correct Answer: A — 30 m²
Learn More →
Q. A triangle has a base of 8 m and a height of 5 m. What is its area?
A.
20 m²
B.
30 m²
C.
40 m²
D.
10 m²
Show solution
Solution
Area = 1/2 × base × height = 1/2 × 8 m × 5 m = 20 m².
Correct Answer: A — 20 m²
Learn More →
Q. A woman is 3 years older than her brother. If the sum of their ages is 27 years, how old is the brother?
Show solution
Solution
Let the brother's age be x. Then the woman's age is x + 3. The equation is x + (x + 3) = 27, which simplifies to 2x + 3 = 27, so 2x = 24, and x = 12.
Correct Answer: B — 10
Learn More →
Q. A woman is 5 years older than her sister. If the sister is 15 years old, how old is the woman?
Show solution
Solution
If the sister is 15, then the woman is 15 + 5 = 20 years old.
Correct Answer: A — 20
Learn More →
Q. A's age is 2 years more than B's age. If the sum of their ages is 34, what is A's age?
Show solution
Solution
Let B's age be x. Then A's age is x + 2. So, x + (x + 2) = 34, which gives 2x + 2 = 34, hence 2x = 32, x = 16. Therefore, A's age is 16 + 2 = 18.
Correct Answer: D — 22
Learn More →
Q. A's age is twice that of B's age. If the difference between their ages is 10 years, what is A's age?
Show solution
Solution
Let B's age be x. Then A's age is 2x. The difference is 2x - x = 10, hence x = 10. So, A's age is 2 * 10 = 20.
Correct Answer: C — 30
Learn More →
Q. A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $60,000, how much does B receive?
A.
$10,000
B.
$20,000
C.
$30,000
D.
$40,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 60000 = $20,000.
Correct Answer: B — $20,000
Learn More →
Q. A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $6000, how much does B receive?
A.
$1,000
B.
$2,000
C.
$3,000
D.
$4,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 6000 = $2,000.
Correct Answer: B — $2,000
Learn More →
Q. A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $10,000, how much does C receive?
A.
$4,000
B.
$5,000
C.
$6,000
D.
$7,000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. C's share = (5/10) * 10000 = $5,000.
Correct Answer: B — $5,000
Learn More →
Q. A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $40,000, how much does B receive?
A.
$10,000
B.
$12,000
C.
$15,000
D.
$18,000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. B's share = (3/10) * 40000 = $12,000.
Correct Answer: B — $12,000
Learn More →
Q. A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $24,000, how much does C receive?
A.
$8,000
B.
$10,000
C.
$12,000
D.
$14,000
Show solution
Solution
Total parts = 3 + 4 + 5 = 12. C's share = (5/12) * 24000 = $10,000.
Correct Answer: C — $12,000
Learn More →
Q. A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $2400, how much does C receive?
A.
$800
B.
$1000
C.
$1200
D.
$1400
Show solution
Solution
The total parts = 3 + 4 + 5 = 12. C's share = 5/12 * 2400 = $1000.
Correct Answer: C — $1200
Learn More →
Q. A, B, and C invest in a business with investments of $5000, $7000, and $8000 respectively. If the total profit is $6000, how much does B receive?
A.
$2000
B.
$2400
C.
$2800
D.
$3000
Show solution
Solution
Total investment = 5000 + 7000 + 8000 = 20000. B's share = (7000/20000) * 6000 = $2100.
Correct Answer: B — $2400
Learn More →
Q. C, D, and E invest in a business in the ratio 1:2:3. If the total profit is $12,000, how much does D receive?
A.
$2,000
B.
$4,000
C.
$6,000
D.
$8,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. D's share = (2/6) * 12000 = $4,000.
Correct Answer: C — $6,000
Learn More →
Q. Calculate the area of a circle with a radius of 7 cm (use π = 22/7).
A.
154 cm²
B.
44 cm²
C.
77 cm²
D.
88 cm²
Show solution
Solution
Area = πr² = (22/7) × (7 cm)² = 154 cm².
Correct Answer: A — 154 cm²
Learn More →
Q. Calculate the area of a circle with a radius of 7 cm (use π ≈ 3.14).
A.
38.48 cm²
B.
43.96 cm²
C.
153.86 cm²
D.
154 cm²
Show solution
Solution
Area = π × radius² = 3.14 × (7 cm)² = 3.14 × 49 cm² = 153.86 cm².
Correct Answer: C — 153.86 cm²
Learn More →
Q. Calculate the area of a rectangle with a length of 15 m and a width of 10 m.
A.
150 m²
B.
140 m²
C.
160 m²
D.
130 m²
Show solution
Solution
Area = length × width = 15 m × 10 m = 150 m².
Correct Answer: A — 150 m²
Learn More →
Q. Calculate the area of a sector with a radius of 5 cm and a central angle of 60 degrees.
A.
13.09 cm²
B.
15.71 cm²
C.
20.93 cm²
D.
25.00 cm²
Show solution
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².
Correct Answer: A — 13.09 cm²
Learn More →
Q. Calculate the Banker's Discount on a loan of $1200 for 6 months at an interest rate of 5%.
A.
$30.00
B.
$25.00
C.
$20.00
D.
$15.00
Show solution
Solution
Banker's Discount = (1200 x 5 x 6/12) / 100 = $30.00
Correct Answer: B — $25.00
Learn More →
Q. Calculate the maturity value of a bill of $4000 with a Banker's Discount of $200 for 6 months.
A.
$3800
B.
$4000
C.
$4200
D.
$4400
Show solution
Solution
Maturity Value = Principal + BD = 4000 + 200 = $4200
Correct Answer: C — $4200
Learn More →
Q. Convert 0.125 to a fraction.
A.
1/8
B.
1/4
C.
1/2
D.
3/8
Show solution
Solution
0.125 = 125/1000 = 1/8 after simplification.
Correct Answer: A — 1/8
Learn More →
Q. Convert 0.2 to a fraction.
A.
1/5
B.
1/4
C.
1/2
D.
2/5
Show solution
Solution
0.2 = 2/10 = 1/5 after simplification.
Correct Answer: A — 1/5
Learn More →
Q. Find the area of a parallelogram with a base of 12 cm and a height of 5 cm.
A.
50 cm²
B.
60 cm²
C.
70 cm²
D.
80 cm²
Show solution
Solution
Area = base × height = 12 cm × 5 cm = 60 cm².
Correct Answer: B — 60 cm²
Learn More →
Q. Find the area of a rectangle with a length of 15 m and a width of 10 m.
A.
100 m²
B.
120 m²
C.
150 m²
D.
160 m²
Show solution
Solution
Area = length × width = 15 m × 10 m = 150 m².
Correct Answer: C — 150 m²
Learn More →
Q. Find the Banker's Discount on a sum of $2000 due in 1 year at a rate of 10%.
A.
$200
B.
$150
C.
$100
D.
$250
Show solution
Solution
Banker's Discount = (2000 x 10 x 1) / 100 = $200
Correct Answer: A — $200
Learn More →
Q. From a group of 8 people, how many ways can a committee of 3 be formed?
Show solution
Solution
The number of ways to form a committee of 3 from 8 is C(8, 3) = 56.
Correct Answer: A — 56
Learn More →
Q. From a group of 8 people, how many ways can a committee of 4 be formed?
Show solution
Solution
The number of ways to form a committee of 4 from 8 is C(8, 4) = 70.
Correct Answer: A — 70
Learn More →
Q. From a point 40 meters away from the base of a tower, the angle of elevation to the top of the tower is 30 degrees. What is the height of the tower?
A.
20√3 meters
B.
30 meters
C.
40 meters
D.
50 meters
Show solution
Solution
Height = distance * tan(30) = 40 * (1/√3) = 40/√3 = 20√3 meters
Correct Answer: A — 20√3 meters
Learn More →
Q. From a point 60 meters away from the base of a hill, the angle of elevation to the top of the hill is 30 degrees. What is the height of the hill?
A.
20 meters
B.
30 meters
C.
40 meters
D.
50 meters
Show solution
Solution
Height = distance * tan(angle) = 60 * (1/√3) = 60 / 1.732 = 34.64 meters.
Correct Answer: B — 30 meters
Learn More →
Showing 331 to 360 of 798 (27 Pages)
