General Aptitude Study Materials for Competitive Exams

General Aptitude

Arithmetic Aptitude Data Interpretation

Q. If log2(x) = 5, what is the value of x?

A. 16
B. 32
C. 64
D. 128

Solution

x = 2^5 = 32.

Correct Answer: C — 64

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Q. If log3(27) = a, what is the value of a?

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

Solution

log3(27) = 3, since 3^3 = 27.

Correct Answer: C — 3

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Q. If log3(27) = z, what is the value of z?

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

Solution

log3(27) = 3, since 3^3 = 27.

Correct Answer: C — 3

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Q. If log3(81) = x, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

81 = 3^4, so x = 4.

Correct Answer: C — 4

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Q. If log4(16) = a, what is the value of a?

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

Solution

log4(16) = 2, since 4^2 = 16.

Correct Answer: B — 2

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Q. If log4(64) = x, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

64 = 4^3, so x = 3.

Correct Answer: B — 3

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Q. If log5(125) = x, what is the value of x?

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

Solution

log5(125) = log5(5^3) = 3.

Correct Answer: C — 3

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Q. If log7(343) = x, what is the value of x?

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

Solution

343 = 7^3, so x = 3.

Correct Answer: A — 3

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Q. If log7(49) = c, what is the value of c?

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

Solution

log7(49) = 2, since 7^2 = 49.

Correct Answer: B — 2

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Q. If log7(49) = x, what is the value of x?

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

Solution

49 = 7^2, so x = 2.

Correct Answer: B — 2

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Q. If log7(x) = 2, what is the value of x?

A. 14
B. 28
C. 49
D. 56

Solution

x = 7^2 = 49.

Correct Answer: C — 49

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Q. If log7(x) = 3, what is the value of x?

A. 49
B. 21
C. 7
D. 14

Solution

x = 7^3 = 343.

Correct Answer: A — 49

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Q. If logb(27) = 3, what is the value of b?

A. 3
B. 9
C. 27
D. 81

Solution

b^3 = 27, so b = 3.

Correct Answer: A — 3

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Q. If logb(64) = 6, what is the value of b?

A. 2
B. 4
C. 8
D. 16

Solution

64 = b^6, so b = 64^(1/6) = 2.

Correct Answer: C — 8

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Q. If logx(100) = 2, what is the value of x?

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

Solution

x^2 = 100, so x = 10.

Correct Answer: A — 10

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Q. If logx(27) = 3, what is the value of x?

A. 3
B. 9
C. 27
D. 81

Solution

x = 27^(1/3) = 3.

Correct Answer: C — 27

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Q. If logx(49) = 2, what is the value of x?

A. 5
B. 7
C. 14
D. 49

Solution

x^2 = 49, so x = 7.

Correct Answer: B — 7

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Q. If logx(64) = 6, what is the value of x?

A. 2
B. 4
C. 8
D. 16

Solution

x = 64^(1/6) = 2.

Correct Answer: C — 8

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Q. If logx(81) = 4, what is the value of x?

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

Solution

x = 81^(1/4) = 3.

Correct Answer: A — 3

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Q. If pipe A can fill a tank in 10 hours and pipe B can fill it in 15 hours, how long will it take to fill the tank if both pipes are opened together?

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

Solution

The combined rate is 1/10 + 1/15 = 1/6. Therefore, it will take 6 hours to fill the tank.

Correct Answer: B — 5 hours

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Q. If Product C's sales in Q1 were 1000, what was the percentage increase in Q2?

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

Solution

Sales in Q2 were 1600. Increase = 1600 - 1000 = 600. Percentage increase = (600/1000) * 100 = 60%.

Correct Answer: B — 60%

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Q. If the age of a woman is 3 times the age of her daughter and the sum of their ages is 48, how old is the daughter?

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

Solution

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

Correct Answer: C — 16

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Q. If the age of a woman is 3 times the age of her daughter and the sum of their ages is 48, what is the age of the daughter?

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

Solution

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

Correct Answer: C — 16

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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 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 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 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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General Aptitude

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