Management Admissions
Q. If a number leaves a remainder of 5 when divided by 12, which of the following could be the number?
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Solution
17 leaves a remainder of 5 when divided by 12 (12*1 + 5 = 17).
Correct Answer: A — 17
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Q. If a number leaves a remainder of 7 when divided by 10, what will be the remainder when the same number is divided by 5?
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Solution
The number can be expressed as 10k + 7. When divided by 5, the remainder is 7 mod 5, which is 2.
Correct Answer: C — 2
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Q. If a partner wishes to leave the partnership, what is typically required?
A.
A unanimous decision from all partners
B.
A written notice to the remaining partners
C.
Immediate withdrawal without notice
D.
A financial penalty
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Solution
Typically, a partner must provide written notice to the remaining partners if they wish to leave.
Correct Answer: B — A written notice to the remaining partners
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Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using 26 letters and 10 digits?
A.
676000
B.
6760000
C.
67600
D.
6760
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Solution
The number of passwords is 26^3 * 10^2 = 17576000.
Correct Answer: A — 676000
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Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 3 letters of the alphabet and the first 5 digits?
A.
150
B.
180
C.
120
D.
100
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Solution
The number of ways to choose 3 letters from 3 is 3! and 2 digits from 5 is 5P2. Total = 3! * 5P2 = 6 * 20 = 120.
Correct Answer: B — 180
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Q. If a pie chart indicates that 10% of a budget is allocated to marketing, what is the remaining percentage for other expenses?
A.
90%
B.
80%
C.
70%
D.
60%
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Solution
The remaining percentage for other expenses is 100% - 10% = 90%.
Correct Answer: A — 90%
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Q. If a pie chart shows that 15% of a company's budget is allocated to marketing, which of the following statements is true?
A.
Marketing receives less than one-fifth of the budget.
B.
Marketing receives more than one-fifth of the budget.
C.
Marketing receives exactly one-fifth of the budget.
D.
None of the above.
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Solution
One-fifth of the budget is 20%, so 15% is indeed less than one-fifth.
Correct Answer: A — Marketing receives less than one-fifth of the budget.
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Q. If a pie chart shows that 30% of a company's revenue comes from product sales, what fraction of the revenue comes from other sources?
A.
1/3
B.
2/3
C.
1/2
D.
3/4
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Solution
If 30% comes from product sales, then 100% - 30% = 70% comes from other sources, which is 2/3.
Correct Answer: B — 2/3
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Q. If a player has a win-loss record of 10-2 in a series of matches, what is their winning percentage?
A.
83.33%
B.
66.67%
C.
50%
D.
75%
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Solution
Winning percentage is calculated as wins/(wins + losses). Here, it is 10/(10+2) = 10/12 = 83.33%.
Correct Answer: A — 83.33%
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Q. If a player is disqualified from a tournament for unsportsmanlike conduct, what is the most likely consequence?
A.
The player will receive a trophy.
B.
The player will be banned from future tournaments.
C.
The player will be awarded points.
D.
The player will be allowed to continue playing.
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Solution
Disqualification typically results in a ban from future participation in tournaments.
Correct Answer: B — The player will be banned from future tournaments.
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Q. If a player scores 30 points in a game and the average score of the team is 25 points, what can be inferred about the player's performance?
A.
The player performed below average.
B.
The player performed above average.
C.
The player is the worst performer on the team.
D.
The player's score does not affect the team's average.
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Solution
Scoring 30 points indicates that the player performed above the team's average of 25 points.
Correct Answer: B — The player performed above average.
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Q. If a polygon has 8 sides, what is the measure of each interior angle in a regular octagon?
A.
135 degrees
B.
120 degrees
C.
108 degrees
D.
150 degrees
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Solution
The measure of each interior angle of a regular polygon can be calculated using the formula [(n-2) * 180] / n. For an octagon (n=8), it is [(8-2) * 180] / 8 = 135 degrees.
Correct Answer: C — 108 degrees
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Q. If a polygon has 8 sides, what is the sum of its interior angles?
A.
720 degrees
B.
1080 degrees
C.
900 degrees
D.
1440 degrees
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Solution
The sum of the interior angles of an octagon (8-sided polygon) is calculated using the formula (n-2) * 180, which gives (8-2) * 180 = 1080 degrees.
Correct Answer: B — 1080 degrees
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Q. If a polynomial is expressed as P(x) = 2x^3 - 4x^2 + 3x - 5, what is the coefficient of x^2?
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Solution
In the polynomial P(x), the coefficient of x^2 is -4.
Correct Answer: B — -4
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Q. If a polynomial is expressed as P(x) = 2x^3 - 4x^2 + 3x - 5, what is the coefficient of the x^2 term?
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Solution
In the polynomial P(x), the coefficient of the x^2 term is -4.
Correct Answer: B — -4
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Q. If a product is sold at a loss of 20% for $80, what was the cost price of the product? (2023)
A.
$100
B.
$90
C.
$80
D.
$70
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Solution
Let the cost price be x. Then, 80 = x - (20% of x) => 80 = x - 0.2x => 80 = 0.8x => x = 100.
Correct Answer: A — $100
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Q. If a product is sold for $150 after a discount of 25%, what was the original price?
A.
$175
B.
$200
C.
$180
D.
$160
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Solution
Let the original price be x. After a 25% discount, the selling price is x - (0.25 * x) = 0.75x. Thus, 0.75x = $150, so x = $150 / 0.75 = $200.
Correct Answer: B — $200
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Q. If a quadrilateral has one pair of parallel sides, it is classified as which type? (2023)
A.
Parallelogram
B.
Trapezium
C.
Rectangle
D.
Rhombus
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Solution
A quadrilateral with one pair of parallel sides is classified as a trapezium.
Correct Answer: B — Trapezium
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Q. If a recipe requires 3 cups of flour for every 2 cups of sugar, how many cups of flour are needed for 8 cups of sugar?
A.
10 cups
B.
12 cups
C.
9 cups
D.
6 cups
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Solution
The ratio of flour to sugar is 3:2. For 8 cups of sugar, the amount of flour needed is (3/2) × 8 = 12 cups.
Correct Answer: B — 12 cups
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Q. If a seller marks a product at $400 and gives a discount of 25%, what is the profit if the cost price is $250? (2023)
A.
$50
B.
$75
C.
$100
D.
$125
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Solution
Selling Price = $400 - (25% of $400) = $400 - $100 = $300. Profit = Selling Price - Cost Price = $300 - $250 = $50.
Correct Answer: C — $100
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Q. If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
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Solution
Substituting n = 5 into the equation gives a_5 = 3(5) + 2 = 15 + 2 = 17.
Correct Answer: B — 17
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Q. If a set A contains elements {1, 2, 3, 4, 5} and a constraint states that only even numbers can be included, what will be the resulting set?
A.
{2, 4}
B.
{1, 3, 5}
C.
{1, 2, 3, 4, 5}
D.
{}
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Solution
The resulting set will be {2, 4} as these are the only even numbers in set A.
Correct Answer: A — {2, 4}
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Q. If a set A is defined by the constraints x > 5 and x < 10, which of the following numbers is NOT a member of set A?
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Solution
The number 10 does not satisfy the constraint x < 10, hence it is not a member of set A.
Correct Answer: C — 10
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Q. If a set D is defined as {x | x is a positive integer and x is less than or equal to 15}, how many elements are in set D?
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Solution
Set D includes all positive integers from 1 to 15, which totals 15 elements.
Correct Answer: B — 15
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Q. If a set is defined as containing all prime numbers less than 20, which of the following numbers is NOT in the set?
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Solution
The number 4 is not a prime number, hence it is not included in the set of prime numbers less than 20.
Correct Answer: C — 4
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Q. If a set is defined by the constraint of being a natural number, which of the following is included?
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Solution
1 is a natural number, while -1 and 0 are not considered natural numbers, and 2.5 is not an integer.
Correct Answer: C — 1
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Q. If a set of students is defined by the constraint of having a GPA above 3.5, which of the following students would be included?
A.
Alice with a GPA of 3.4
B.
Bob with a GPA of 3.6
C.
Charlie with a GPA of 3.5
D.
Diana with a GPA of 3.2
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Solution
Bob is the only student with a GPA above 3.5, thus he is included in the set.
Correct Answer: B — Bob with a GPA of 3.6
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Q. If a shopkeeper sells a product for $80 after a discount of 20%, what was the marked price?
A.
$100
B.
$90
C.
$110
D.
$120
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Solution
Let the marked price be x. Selling Price = x - (20% of x) = 0.80x. Thus, 0.80x = $80, so x = $80 / 0.80 = $100.
Correct Answer: A — $100
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Q. If a shopkeeper sells an item at a loss of 10% and the selling price is $90, what was the cost price?
A.
$100
B.
$110
C.
$80
D.
$90
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Solution
Let the cost price be x. Selling Price = Cost Price - (10% of Cost Price) = x - 0.10x = 0.90x. Thus, 0.90x = $90, so x = $90 / 0.90 = $100.
Correct Answer: A — $100
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Q. If a shopkeeper sells an item for $240 after applying a discount of 20%, what was the marked price? (2023)
A.
$280
B.
$300
C.
$320
D.
$350
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Solution
Let the marked price be x. Then, Selling Price = x - (20% of x) = 240 => 0.8x = 240 => x = 300.
Correct Answer: B — $300
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