Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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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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Q. If the length of a rectangle is doubled and the width is halved, how does the area change?

A. Remains the same
B. Doubles
C. Halves
D. Quadruples

Solution

New area = (2 × length) × (width/2) = length × width = original area. Area doubles.

Correct Answer: B — Doubles

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Q. If the minute hand of a clock moves 360 degrees in 60 minutes, how many degrees does it move in 15 minutes?

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

Solution

In 15 minutes, the minute hand moves (360 degrees / 60 minutes) * 15 minutes = 90 degrees.

Correct Answer: A — 90 degrees

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Q. If the population of a town increases from 20,000 to 25,000, what is the percentage increase?

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

Solution

Percentage Increase = [(New Population - Old Population) / Old Population] × 100 = [(25000 - 20000) / 20000] × 100 = 25%.

Correct Answer: B — 25%

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Q. If the present age of a father is 45 years and his son is 15 years old, in how many years will the father be twice as old as his son?

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

Solution

Let the number of years be x. In x years, the father's age will be 45 + x and the son's age will be 15 + x. The equation is 45 + x = 2(15 + x), which simplifies to 45 + x = 30 + 2x, so x = 15.

Correct Answer: A — 10

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Q. If the present age of a grandfather is 80 years and the age of his grandson is 20 years, how many years ago was the grandfather 3 times as old as the grandson?

A. 10
B. 20
C. 30
D. 40

Solution

Let x years ago, grandfather's age was 80 - x and grandson's age was 20 - x. We need 80 - x = 3(20 - x). Solving gives x = 10.

Correct Answer: B — 20

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Q. If the present age of a man is 3 times that of his son and the sum of their ages is 48 years, what is the age of the son?

A. 8
B. 12
C. 16
D. 20

Solution

Let the son's age be x. Then the man's age is 3x. So, x + 3x = 48. Solving gives x = 12.

Correct Answer: C — 16

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Q. If the present age of a man is 4 times that of his son, and after 5 years, the man will be 3 times as old as his son. What is the present age of the son?

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

Solution

Let the son's age be x. Then the man's age is 4x. In 5 years, 4x + 5 = 3(x + 5). Solving gives x = 10.

Correct Answer: B — 10

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Q. If the present age of a mother is 4 times that of her daughter and the daughter is 5 years old, what is the mother's age?

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

Solution

If the daughter is 5 years old, then the mother is 4 * 5 = 20 years old.

Correct Answer: C — 25

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Q. If the present age of a mother is 4 times that of her son, and the son is 5 years old, what will be the mother's age in 5 years?

A. 20
B. 25
C. 30
D. 35

Solution

The mother is currently 4 * 5 = 20 years old. In 5 years, she will be 20 + 5 = 25 years old.

Correct Answer: B — 25

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Q. If the present age of a woman is 5 years more than twice the age of her son, and the son is currently 10 years old, what is the age of the woman?

A. 25
B. 30
C. 20
D. 35

Solution

The son's age is 10. Therefore, the woman's age is 2 * 10 + 5 = 20 + 5 = 25.

Correct Answer: A — 25

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Q. If the present age of C is 3 times that of D and the sum of their ages is 48, what is the present age of D?

A. 8
B. 12
C. 16
D. 20

Solution

Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

Correct Answer: C — 16

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Q. If the present age of C is 3 times that of D, and D is 8 years old, what is C's age?

A. 20
B. 24
C. 30
D. 32

Solution

If D is 8 years old, then C is 3 * 8 = 24 years old.

Correct Answer: B — 24

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Q. If the present age of C is 3 times that of D, and the sum of their ages is 48 years, what is D's age?

A. 8
B. 12
C. 16
D. 20

Solution

Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

Correct Answer: B — 12

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Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is the age of C?

A. 20
B. 25
C. 30
D. 35

Solution

Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10, hence C = 40.

Correct Answer: D — 35

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Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is D's age?

A. 10
B. 12
C. 15
D. 20

Solution

Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10.

Correct Answer: A — 10

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Q. If the present age of C is 4 years more than D, and D is 12 years old, what is the present age of C?

A. 14
B. 16
C. 12
D. 10

Solution

If D is 12 years old, then C is 12 + 4 = 16 years old.

Correct Answer: A — 14

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Q. If the present age of C is 4 years more than D, and D is 6 years old, what is C's age?

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

Solution

C's age = D's age + 4 = 6 + 4 = 10 years.

Correct Answer: A — 8

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Q. If the present age of E is 5 years more than F and the sum of their ages is 55, what is E's age?

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

Solution

Let F's age be x. Then E's age is x + 5. So, x + (x + 5) = 55, which gives 2x + 5 = 55, hence 2x = 50, x = 25. Therefore, E's age is 25 + 5 = 30.

Correct Answer: C — 35

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Q. If the present value of a bill is Rs. 7200 and the bankers' discount is Rs. 800, what is the face value of the bill?

A. Rs. 8000
B. Rs. 7200
C. Rs. 6000
D. Rs. 5000

Solution

Face Value = Present Value + BD = 7200 + 800 = Rs. 8000.

Correct Answer: A — Rs. 8000

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Q. If the present value of a sum is $4500 and the bankers discount is $500, what is the principal?

A. $5000
B. $5500
C. $6000
D. $6500

Solution

Principal = Present Value + Bankers Discount = 4500 + 500 = $5000.

Correct Answer: A — $5000

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Q. If the present worth of a sum is $1200 and the banker's discount is $180 at 9% per annum, what is the time period?

A. 1 year
B. 2 years
C. 3 years
D. 4 years

Solution

Banker's Discount = P × R × T / 100. 180 = 1200 × 9 × T / 100. T = 2 years.

Correct Answer: B — 2 years

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Q. If the present worth of a sum is $2000 and the true discount is $400, what is the rate of interest per annum for 2 years?

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

Solution

True Discount = Present Worth * Rate * Time / 100. 400 = 2000 * Rate * 2 / 100. Rate = (400 * 100) / (2000 * 2) = 10%.

Correct Answer: B — 10%

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Q. If the present worth of a sum is $600 and the true discount is $100, what is the amount after 2 years at 10% per annum?

A. $700
B. $800
C. $900
D. $1000

Solution

Amount = Present Worth + True Discount = 600 + 100 = $700. Amount after 2 years = 700 * (1 + 0.10)^2 = $800.

Correct Answer: C — $900

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Arithmetic Aptitude

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