General Aptitude Study Materials for Competitive Exams

General Aptitude

Arithmetic Aptitude Data Interpretation

Q. A and B invest in a business with amounts of $30,000 and $45,000 respectively. If they make a profit of $15,000, how much profit does A receive?

A. $5,000
B. $6,000
C. $7,000
D. $8,000

Solution

The ratio of their investments is 30000:45000 = 2:3. A's share of the profit = 2/5 * 15000 = $6,000.

Correct Answer: B — $6,000

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Q. A and B invest in a business with investments of $15,000 and $25,000 respectively. If the total profit is $20,000, how much does A receive?

A. $6,000
B. $8,000
C. $10,000
D. $12,000

Solution

Investment ratio = 15000:25000 = 3:5. A's share of profit = (3/8) * 20000 = $7,500.

Correct Answer: B — $8,000

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Q. A and B start a business with investments of $12,000 and $18,000 respectively. If they make a profit of $9,000, how much will A receive?

A. $3,000
B. $4,000
C. $5,000
D. $6,000

Solution

The ratio of their investments is 12000:18000 = 2:3. A's share of the profit = 2/5 * 9000 = $3,600.

Correct Answer: B — $4,000

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Q. A and B start a business with investments of $12,000 and $18,000 respectively. If they make a profit of $9,000, how much profit does A get?

A. $3,600
B. $4,000
C. $4,500
D. $5,400

Solution

Investment ratio = 12000:18000 = 2:3. A's share of profit = (2/5) * 9000 = $3,600.

Correct Answer: D — $5,400

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Q. A and B start a business with investments of $5000 and $7000 respectively. If they earn a profit of $2400, how much profit does A receive?

A. $1000
B. $1200
C. $1400
D. $800

Solution

Total investment = 5000 + 7000 = $12000. A's share = (5000/12000) * 2400 = $1000.

Correct Answer: B — $1200

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Q. A and B started a business with investments of $10,000 and $15,000 respectively. What is the ratio of their profits after one year?

A. 2:3
B. 3:2
C. 5:3
D. 3:5

Solution

The ratio of their investments is 10000:15000 = 2:3. Therefore, the profit ratio is also 2:3.

Correct Answer: A — 2:3

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Q. A bag contains 3 red balls and 2 blue balls. What is the probability of drawing a red ball?

A. 0.3
B. 0.4
C. 0.6
D. 0.5

Solution

The total number of balls is 3 + 2 = 5. The probability of drawing a red ball is 3/5 = 0.6.

Correct Answer: C — 0.6

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Q. A bag contains 5 red balls and 3 blue balls. If the average weight of the red balls is 200 grams and the blue balls is 150 grams, what is the average weight of all the balls?

A. 175
B. 180
C. 185
D. 190

Solution

Total weight of red balls = 5 * 200 = 1000 grams. Total weight of blue balls = 3 * 150 = 450 grams. Total weight = 1000 + 450 = 1450 grams. Average weight = 1450 / 8 = 181.25.

Correct Answer: B — 180

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Q. A bag contains 7 apples and 3 oranges. What is the probability of picking an orange?

A. 1/3
B. 3/10
C. 3/7
D. 1/4

Solution

Total fruits = 7 + 3 = 10. Probability of orange = 3/10.

Correct Answer: A — 1/3

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Q. A bank offers 5% interest per annum. If you invest $1,000, how much interest will you earn in 3 years?

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

Solution

Simple interest = Principal * Rate * Time = $1,000 * 5/100 * 3 = $150.

Correct Answer: B — 100

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Q. A bicycle covers a distance of 90 km in 3 hours. What is its average speed?

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Average speed = Total distance / Total time = 90 km / 3 h = 30 km/h.

Correct Answer: B — 30 km/h

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Q. A bicycle is bought for $200 and sold for $180. What is the loss percentage?

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

Solution

Loss = Cost Price - Selling Price = 200 - 180 = 20. Loss Percentage = (Loss/Cost Price) * 100 = (20/200) * 100 = 10%.

Correct Answer: A — 10%

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Q. A bicycle is bought for $200 and sold for $240. What is the gain percentage?

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

Solution

Gain = Selling Price - Cost Price = 240 - 200 = 40. Gain Percentage = (Gain/Cost Price) * 100 = (40/200) * 100 = 20%.

Correct Answer: B — 20%

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Q. A bill of $1500 has a Banker's Discount of $45. What is the rate of interest for 6 months?

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

Solution

Rate = (BD x 100) / (Principal x Time) = (45 x 100) / (1500 x 6/12) = 6%

Correct Answer: A — 5%

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Q. A bill of Rs. 10000 is discounted at 5% per annum for 1 year. What is the bankers' discount?

A. Rs. 500
B. Rs. 600
C. Rs. 700
D. Rs. 800

Solution

Bankers' Discount = (10000 × 5 × 1) / 100 = Rs. 500.

Correct Answer: A — Rs. 500

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Q. A bill of Rs. 10000 is due in 1 year. If the Banker's Discount is Rs. 800, what is the rate of interest?

A. 8%
B. 10%
C. 12%
D. 15%

Solution

Banker's Discount = (Face Value * Rate * Time) / 100. 800 = (10000 * Rate * 1) / 100. Rate = 8%.

Correct Answer: B — 10%

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Q. A bill of Rs. 12000 is discounted at 12% per annum for 9 months. What is the bankers' discount?

A. Rs. 900
B. Rs. 1200
C. Rs. 1000
D. Rs. 800

Solution

Bankers' Discount = (12000 × 12 × 0.75) / 100 = Rs. 900.

Correct Answer: B — Rs. 1200

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Q. A bill of Rs. 12000 is due in 5 months. If the Banker's Discount is Rs. 200, what is the rate of interest?

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

Solution

Rate = (Banker's Discount * 100) / (Face Value * Time) = (200 * 100) / (12000 * 5/12) = 5%

Correct Answer: B — 5%

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Q. A bill of Rs. 12000 is due in 9 months. Calculate the Banker's Discount at the rate of 15% per annum.

A. Rs. 450
B. Rs. 300
C. Rs. 600
D. Rs. 900

Solution

Banker's Discount = (12000 × 15 × 0.75) / 100 = Rs. 1350.

Correct Answer: C — Rs. 600

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Q. A bill of Rs. 12000 is due in 9 months. If the bankers' discount is Rs. 900, what is the rate of interest?

A. 10%
B. 12%
C. 15%
D. 18%

Solution

Rate = (BD × 100) / (Principal × Time) = (900 × 100) / (12000 × 0.75) = 12%.

Correct Answer: B — 12%

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Q. A bill of Rs. 15000 is due in 2 months. What is the Banker's Discount at 9% per annum?

A. Rs. 225
B. Rs. 300
C. Rs. 450
D. Rs. 375

Solution

Banker's Discount = (15000 * 9 * 2/12) / 100 = Rs. 225

Correct Answer: A — Rs. 225

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Q. A bill of Rs. 15000 is due in 3 months. If the bankers' discount is Rs. 450, what is the rate of interest?

A. 9%
B. 10%
C. 12%
D. 15%

Solution

Rate = (BD × 100) / (Principal × Time) = (450 × 100) / (15000 × 0.25) = 12%.

Correct Answer: B — 10%

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Q. A bill of Rs. 15000 is due in 3 months. What is the Banker's Discount at the rate of 8% per annum?

A. Rs. 300
B. Rs. 400
C. Rs. 200
D. Rs. 600

Solution

Banker's Discount = (15000 × 8 × 0.25) / 100 = Rs. 300.

Correct Answer: B — Rs. 400

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Q. A bill of Rs. 18000 is discounted at 10% per annum for 1 month. What is the Banker's Discount?

A. Rs. 150
B. Rs. 180
C. Rs. 200
D. Rs. 220

Solution

Banker's Discount = (18000 * 10 * 1/12) / 100 = Rs. 150

Correct Answer: A — Rs. 150

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Q. A bill of Rs. 18000 is due in 4 months. What is the Banker's Discount at the rate of 9% per annum?

A. Rs. 540
B. Rs. 360
C. Rs. 720
D. Rs. 450

Solution

Banker's Discount = (18000 × 9 × (4/12)) / 100 = Rs. 540.

Correct Answer: B — Rs. 360

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Q. A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what is the effective rate of interest?

A. 8%
B. 10%
C. 12%
D. 14%

Solution

Effective Rate = (BD × 100) / (Face Value × Time) = (1600 × 100) / (20000 × 1) = 8%.

Correct Answer: A — 8%

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Q. A bill of Rs. 20000 is due in 3 months. If the Banker's Discount is Rs. 300, what is the effective interest rate?

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

Solution

Effective Interest = (Banker's Discount / Face Value) * (12 / Time) = (300 / 20000) * (12 / 3) = 4%

Correct Answer: A — 4%

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Q. A bill of Rs. 25000 is discounted at 5% per annum for 3 months. What is the bankers' discount?

A. Rs. 312.5
B. Rs. 625
C. Rs. 500
D. Rs. 750

Solution

Bankers' Discount = (25000 × 5 × 0.25) / 100 = Rs. 312.5.

Correct Answer: B — Rs. 625

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Q. A bill of Rs. 25000 is due in 1 year. Calculate the Banker's Discount at the rate of 5% per annum.

A. Rs. 1250
B. Rs. 1000
C. Rs. 1500
D. Rs. 2000

Solution

Banker's Discount = (25000 × 5 × 1) / 100 = Rs. 1250.

Correct Answer: A — Rs. 1250

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Q. A bill of Rs. 25000 is due in 1 year. If the Banker's Discount is Rs. 2000, what is the rate of interest?

A. 8%
B. 10%
C. 12%
D. 15%

Solution

Rate = (Banker's Discount * 100) / (Face Value * Time) = (2000 * 100) / (25000 * 1) = 8%

Correct Answer: B — 10%

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General Aptitude

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