Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. What is the product of the roots of the polynomial x^2 - 5x + 6?

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

Solution

The product of the roots is given by c/a = 6/1 = 6.

Correct Answer: A — 6

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Q. What is the remainder when 12345 is divided by 7?

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

Solution

12345 mod 7 = 4, so the remainder is 4.

Correct Answer: B — 2

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Q. What is the remainder when 25 is divided by 4?

A. 1
B. 2
C. 3
D. 0

Solution

25 divided by 4 gives a quotient of 6 and a remainder of 1.

Correct Answer: C — 3

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Q. What is the remainder when 37 is divided by 5?

A. 0
B. 1
C. 2
D. 3

Solution

37 divided by 5 gives a quotient of 7 and a remainder of 2.

Correct Answer: C — 2

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Q. What is the remainder when 45 is divided by 7?

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

Solution

45 divided by 7 is 6 with a remainder of 3.

Correct Answer: A — 1

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Q. What is the remainder when 47 is divided by 6?

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

Solution

47 divided by 6 is 7 with a remainder of 5.

Correct Answer: B — 2

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Q. What is the remainder when 57 is divided by 5?

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

Solution

57 divided by 5 is 11 with a remainder of 2.

Correct Answer: B — 3

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Q. What is the result of 15 mod 4?

A. 3
B. 1
C. 2
D. 0

Solution

15 divided by 4 gives a remainder of 3, so 15 mod 4 = 3.

Correct Answer: A — 3

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Q. What is the simple interest on a principal of $2500 at a rate of 6% per annum for 4 years?

A. $600
B. $480
C. $720
D. $500

Solution

Simple Interest = 2500 * 0.06 * 4 = $600.

Correct Answer: B — $480

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Q. What is the sum of the first 10 positive integers?

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

Solution

The sum is 10(10 + 1)/2 = 55.

Correct Answer: A — 45

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Q. What is the sum of the first 5 positive integers?

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

Solution

The sum is 1 + 2 + 3 + 4 + 5 = 15.

Correct Answer: B — 15

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Q. What is the sum of the first five positive integers?

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

Solution

The sum is 1 + 2 + 3 + 4 + 5 = 15.

Correct Answer: B — 15

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Q. What is the value of 10 - 3(2 + 1)?

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

Solution

Calculating gives 10 - 3(3) = 10 - 9 = 1.

Correct Answer: B — 4

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Q. What is the value of 10 mod 3?

A. 1
B. 2
C. 3
D. 0

Solution

10 divided by 3 gives a remainder of 1.

Correct Answer: B — 2

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Q. What is the value of 12 mod 5?

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

Solution

12 divided by 5 is 2 with a remainder of 2.

Correct Answer: C — 3

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Q. What is the value of 2x if x = 4?

A. 4
B. 6
C. 8
D. 10

Solution

2x = 2 * 4 = 8.

Correct Answer: C — 8

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Q. What is the value of 2^3 + 3^2?

A. 11
B. 17
C. 19
D. 23

Solution

2^3 = 8 and 3^2 = 9, so 8 + 9 = 17.

Correct Answer: B — 17

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Q. What is the value of 3^2 + 4^2?

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

Solution

3^2 = 9 and 4^2 = 16, so 9 + 16 = 25.

Correct Answer: A — 25

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Q. What is the value of 3^3 + 4^2?

A. 25
B. 27
C. 29
D. 32

Solution

3^3 = 27 and 4^2 = 16, so 27 + 16 = 43.

Correct Answer: A — 25

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Q. What is the value of 3^3?

A. 6
B. 9
C. 27
D. 81

Solution

3^3 = 3 * 3 * 3 = 27.

Correct Answer: C — 27

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Q. What is the value of 5! (5 factorial)?

A. 20
B. 60
C. 120
D. 240

Solution

5! = 5 * 4 * 3 * 2 * 1 = 120.

Correct Answer: C — 120

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Q. What is the value of 5^2 + 3^2?

A. 25
B. 34
C. 35
D. 36

Solution

5^2 = 25 and 3^2 = 9, so 25 + 9 = 34.

Correct Answer: B — 34

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Q. What is the value of 5^3?

A. 125
B. 150
C. 175
D. 200

Solution

5^3 = 125.

Correct Answer: A — 125

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Q. What is the value of 7 mod 3?

A. 1
B. 2
C. 0
D. 3

Solution

7 divided by 3 gives a remainder of 1.

Correct Answer: B — 2

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Q. What is the value of 7 mod 4?

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

Solution

7 divided by 4 gives a remainder of 3.

Correct Answer: A — 1

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Q. What is the value of 7^3 mod 5?

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

Solution

7 mod 5 = 2, thus 2^3 mod 5 = 8 mod 5 = 3.

Correct Answer: C — 3

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Q. What is the value of 9 - 3(2 + 1)?

A. 0
B. 3
C. 6
D. 9

Solution

Calculating gives 9 - 3*3 = 9 - 9 = 0.

Correct Answer: C — 6

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Q. What is the value of 9 mod 5?

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

Solution

9 divided by 5 gives a remainder of 4.

Correct Answer: A — 4

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Q. What is the value of 9^2?

A. 81
B. 72
C. 90
D. 99

Solution

9 squared is 81.

Correct Answer: A — 81

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Q. What is the value of x in the equation 2x - 4 = 10?

A. 5
B. 7
C. 8
D. 10

Solution

Adding 4 to both sides gives 2x = 14, so x = 14/2 = 7.

Correct Answer: B — 7

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Arithmetic Aptitude

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