Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. If the age of E is 5 years more than F, and F is 15 years old, how old is E?

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

Solution

E's age = F's age + 5 = 15 + 5 = 20 years.

Correct Answer: B — 20

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Q. If the area of a rectangle is 120 square meters and the length is 10 meters, what is the width?

A. 12
B. 10
C. 8
D. 6

Solution

Area = length × width, so width = Area / length = 120 / 10 = 12 meters.

Correct Answer: A — 12

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Q. If the area of a square is 64 square meters, what is the length of one side of the square?

A. 6
B. 8
C. 10
D. 12

Solution

Area = side², so side = √64 = 8 meters.

Correct Answer: B — 8

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Q. If the area of a square is 64 square meters, what is the length of one side of the square in meters?

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

Solution

Area = side²; 64 = side²; side = √64 = 8 meters.

Correct Answer: C — 8

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Q. If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?

A. 55
B. 56
C. 57
D. 58

Solution

Total of first 10 numbers = 10 * 50 = 500. Total of second 10 numbers = 10 * 60 = 600. Combined total = 500 + 600 = 1100. Average = 1100 / 20 = 55.

Correct Answer: A — 55

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Q. If the average of 12 numbers is 24, what is the average if one number is increased by 12?

A. 25
B. 26
C. 27
D. 28

Solution

Total of 12 numbers = 12 * 24 = 288. New total = 288 + 12 = 300. New average = 300 / 12 = 25.

Correct Answer: B — 26

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Q. If the average of 4 numbers is 15, what is the sum of those numbers?

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

Solution

The sum of the numbers is 4 * 15 = 60.

Correct Answer: A — 45

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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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Arithmetic Aptitude

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