General Aptitude Study Materials for Competitive Exams

General Aptitude

Arithmetic Aptitude Data Interpretation

Q. If the average of 5 numbers is 60, what is the sum of those numbers?

A. 300
B. 250
C. 350
D. 400

Solution

Sum = Average * Number of items = 60 * 5 = 300.

Correct Answer: A — 300

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Q. If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?

A. 13
B. 14
C. 15
D. 16

Solution

Total of first 6 numbers = 6 * 12 = 72. Total of next 4 numbers = 4 * 15 = 60. Combined total = 72 + 60 = 132. Average = 132 / 10 = 13.2.

Correct Answer: B — 14

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Q. If the average of 8 numbers is 24, what is the sum of these numbers?

A. 192
B. 200
C. 208
D. 216

Solution

The sum of the numbers is 8 * 24 = 192.

Correct Answer: A — 192

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Q. If the average of 8 numbers is 45, what is the average of the first 4 numbers if their sum is 180?

A. 45
B. 50
C. 55
D. 60

Solution

Average of first 4 numbers = 180 / 4 = 45.

Correct Answer: B — 50

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Q. If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?

A. 50
B. 51
C. 52
D. 53

Solution

Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.

Correct Answer: B — 51

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Q. If the average of 8 numbers is 50, what is the average if one number is removed and it was 60?

A. 48
B. 49
C. 50
D. 51

Solution

Total = 50 * 8 = 400. New total = 400 - 60 = 340. New average = 340 / 7 = 48.57.

Correct Answer: B — 49

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Q. If the average of five numbers is 12, what is their total sum?

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

Solution

Total sum = Average * Number of items = 12 * 5 = 60.

Correct Answer: A — 48

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Q. If the average of three numbers is 15 and the first two numbers are 10 and 20, what is the third number?

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

Solution

Total of three numbers = 3 * 15 = 45. Sum of first two numbers = 10 + 20 = 30. Third number = 45 - 30 = 15.

Correct Answer: D — 25

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Q. If the average price of a stock over 4 days is $75, what is the total price over those 4 days?

A. $300
B. $280
C. $320
D. $350

Solution

Total Price = Average Price * Number of Days = 75 * 4 = $300

Correct Answer: A — $300

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Q. If the Banker's Discount on a bill of $800 is $16, what is the rate of interest for 4 months?

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

Solution

Rate = (BD x 100) / (Principal x Time) = (16 x 100) / (800 x 4/12) = 6%

Correct Answer: B — 6%

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Q. If the Banker's Discount on a bill of Rs. 20000 due in 6 months at 10% is Rs. 1000, what is the true discount?

A. Rs. 800
B. Rs. 1000
C. Rs. 1200
D. Rs. 600

Solution

True Discount = Banker's Discount × (Time / (Time + 1)) = 1000 × (0.5 / (0.5 + 1)) = Rs. 666.67.

Correct Answer: A — Rs. 800

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Q. If the Banker's Discount on a bill of Rs. 22000 due in 5 months at 6% is Rs. 550, what is the true discount?

A. Rs. 500
B. Rs. 550
C. Rs. 600
D. Rs. 450

Solution

True Discount = Banker's Discount × (Time / (Time + 1)) = 550 × (5/12) = Rs. 229.17.

Correct Answer: A — Rs. 500

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Q. If the Banker's Discount on a bill of Rs. 8000 due in 1 year at 12% is Rs. 960, what is the true discount?

A. Rs. 800
B. Rs. 960
C. Rs. 720
D. Rs. 640

Solution

True Discount = Banker's Discount × (Time / (Time + 1)) = 960 × (1 / (1 + 1)) = Rs. 480.

Correct Answer: C — Rs. 720

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Q. If the Banker's Discount on a bill of Rs. 8000 due in 3 months at 12% per annum is Rs. 80, what is the effective interest rate?

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

Solution

Effective Interest = (Banker's Discount / Face Value) * (12 / Time) = (80 / 8000) * (12 / 3) = 4%

Correct Answer: B — 4%

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Q. If the Banker's Discount on a bill of Rs. 8000 due in 6 months at 12% per annum is Rs. 480, what is the true discount?

A. Rs. 400
B. Rs. 480
C. Rs. 600
D. Rs. 500

Solution

True Discount = Banker's Discount * (Time / (Time + 1)) = 480 * (6/12) = Rs. 240.

Correct Answer: A — Rs. 400

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Q. If the Banker's Discount on a bill of Rs. 8000 due in 6 months at 12% per annum is Rs. 480, what is the actual amount received?

A. Rs. 7520
B. Rs. 8000
C. Rs. 7520
D. Rs. 7520

Solution

Actual Amount = Face Value - Banker's Discount = 8000 - 480 = Rs. 7520

Correct Answer: A — Rs. 7520

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Q. If the Banker's Discount on a loan of $3000 is $90 for 3 months, what is the rate of interest?

A. 6%
B. 7%
C. 8%
D. 9%

Solution

Rate = (BD x 100) / (Principal x Time) = (90 x 100) / (3000 x 3/12) = 12%

Correct Answer: A — 6%

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Q. If the banker's discount on a sum due in 1 year is $150 at 10% per annum, what is the present worth?

A. $1350
B. $1400
C. $1450
D. $1500

Solution

Banker's Discount = P × R × T / 100. 150 = P × 10 × 1 / 100. P = $1500.

Correct Answer: A — $1350

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Q. If the banker's discount on a sum due in 3 years is $300 at 5% per annum, what is the present worth?

A. $1800
B. $2000
C. $2200
D. $2400

Solution

Banker's Discount = P × R × T / 100. 300 = P × 5 × 3 / 100. P = $2000.

Correct Answer: C — $2200

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Q. If the bankers discount on a sum of $8000 for 1 year at 12% is $960, what is the present value?

A. $7040
B. $7048
C. $7200
D. $7208

Solution

Present Value = Principal - Bankers Discount = 8000 - 960 = $7040.

Correct Answer: A — $7040

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Q. If the bankers' discount on a bill is Rs. 400 and the time is 1 year at a rate of 8% per annum, what is the face value of the bill?

A. Rs. 5000
B. Rs. 6000
C. Rs. 7000
D. Rs. 8000

Solution

Face Value = BD / (Rate × Time) = 400 / (0.08 × 1) = Rs. 5000.

Correct Answer: B — Rs. 6000

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Q. If the bankers' discount on a bill is Rs. 400 and the time is 4 months, what is the face value of the bill at the rate of 12% per annum?

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 7000

Solution

Face Value = BD / (Rate × Time) = 400 / (12 × 4/12) = Rs. 5000.

Correct Answer: B — Rs. 5000

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Q. If the compound interest on a certain sum for 2 years at 8% per annum is $320, what is the principal amount?

A. $4000
B. $5000
C. $6000
D. $8000

Solution

Let P be the principal. CI = P[(1 + r)^n - 1] = P[(1 + 0.08)^2 - 1] = P[0.1664]. Thus, 320 = P * 0.1664, P = $5000.

Correct Answer: B — $5000

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Q. If the compound interest on an amount for 2 years is $200 at a rate of 10%, what is the principal?

A. $1000
B. $1500
C. $1200
D. $800

Solution

Using the formula for compound interest, P = A / (1 + r)^n. Here, A = 200 + P, r = 0.1, n = 2.

Correct Answer: A — $1000

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Q. If the cost price of an item is $300 and it is sold for $360, what is the profit in dollars?

A. $50
B. $60
C. $70
D. $80

Solution

Profit = Selling Price - Cost Price = 360 - 300 = 60.

Correct Answer: B — $60

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Q. If the cube of a number is 125, what is the number?

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

Solution

The cube root of 125 is 5, since 5 * 5 * 5 = 125.

Correct Answer: B — 5

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Q. If the cube root of a number is 5, what is the number?

A. 25
B. 100
C. 125
D. 150

Solution

The number is 125, since 5 * 5 * 5 = 125.

Correct Answer: C — 125

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Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 36, what can be said about the two numbers?

A. They are co-prime
B. They are equal
C. They are both even
D. They are both odd

Solution

The two numbers are co-prime since their H.C.F. is 1.

Correct Answer: A — They are co-prime

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Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 60, what can be said about the two numbers?

A. They are co-prime
B. They are equal
C. They are both even
D. They are both odd

Solution

The two numbers are co-prime since their H.C.F. is 1.

Correct Answer: A — They are co-prime

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Q. If the H.C.F. of two numbers is 5 and their L.C.M. is 100, what is the product of the two numbers?

A. 500
B. 200
C. 100
D. 50

Solution

The product of the two numbers is H.C.F. * L.C.M. = 5 * 100 = 500.

Correct Answer: A — 500

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General Aptitude

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