Q. If a product is sold for $150 at a profit of 50%, what was the cost price?
A.
$100
B.
$110
C.
$120
D.
$130
Show solution
Solution
Let the cost price be x. Selling Price = x + 50% of x = 150. Thus, 1.5x = 150, so x = 100.
Correct Answer:
A
— $100
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Q. If a product's price is increased by 15% and then decreased by 15%, what is the net change in price?
A.
0%
B.
2.25%
C.
3.5%
D.
1.5%
Show solution
Solution
Let the original price be $100. After a 15% increase, the price is $115. After a 15% decrease, the price is $97.75. Net change = (97.75 - 100)/100 * 100 = -2.25%.
Correct Answer:
B
— 2.25%
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Q. If a product's price is increased by 20% and then decreased by 20%, what is the net change in price? (2023)
Show solution
Solution
Let the original price be 100. After a 20% increase, the price becomes 120. After a 20% decrease, the price becomes 120 - 24 = 96. The net change is (96 - 100) / 100 * 100% = -4%.
Correct Answer:
B
— 4%
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Q. If a quadrilateral has one angle measuring 120 degrees and the other three angles are equal, what is the measure of each of the equal angles?
A.
30 degrees
B.
40 degrees
C.
60 degrees
D.
80 degrees
Show solution
Solution
The sum of the angles in a quadrilateral is 360 degrees. If one angle is 120 degrees, the remaining angles must sum to 240 degrees. If the other three angles are equal, each must be 240/3 = 80 degrees.
Correct Answer:
B
— 40 degrees
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Q. If a quadrilateral has one angle measuring 90 degrees and the opposite angle measuring 90 degrees, what can be inferred about the quadrilateral?
A.
It is a trapezium.
B.
It is a rectangle.
C.
It is a rhombus.
D.
It is a kite.
Show solution
Solution
A quadrilateral with two opposite angles measuring 90 degrees is a rectangle.
Correct Answer:
B
— It is a rectangle.
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Q. If a quadrilateral has one pair of opposite sides that are both equal and parallel, what can be inferred?
A.
It is a trapezium.
B.
It is a parallelogram.
C.
It is a rectangle.
D.
It is a kite.
Show solution
Solution
A quadrilateral with one pair of opposite sides that are equal and parallel is classified as a trapezium.
Correct Answer:
A
— It is a trapezium.
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Q. If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?
A.
Trapezium
B.
Parallelogram
C.
Rectangle
D.
Square
Show solution
Solution
A quadrilateral with one pair of opposite sides that are equal and parallel is a parallelogram.
Correct Answer:
B
— Parallelogram
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Q. If a quadrilateral has one pair of opposite sides that are both parallel and equal in length, what can be inferred about the quadrilateral?
A.
It is a trapezium
B.
It is a parallelogram
C.
It is a rectangle
D.
It is a rhombus
Show solution
Solution
A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.
Correct Answer:
B
— It is a parallelogram
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Q. If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?
A.
It is a trapezium
B.
It is a parallelogram
C.
It is a rectangle
D.
It is a rhombus
Show solution
Solution
A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.
Correct Answer:
B
— It is a parallelogram
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Q. If a quadrilateral has one pair of parallel sides, it is classified as which of the following?
A.
Trapezium
B.
Parallelogram
C.
Rectangle
D.
Rhombus
Show solution
Solution
A quadrilateral with one pair of parallel sides is classified as a trapezium.
Correct Answer:
A
— Trapezium
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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
Show solution
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 quadrilateral has one pair of parallel sides, what type of quadrilateral is it?
A.
Parallelogram
B.
Trapezium
C.
Rectangle
D.
Rhombus
Show solution
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 quadrilateral has two pairs of parallel sides, what type of polygon is it?
A.
A trapezoid
B.
A rectangle
C.
A rhombus
D.
A parallelogram
Show solution
Solution
A quadrilateral with two pairs of parallel sides is classified as a parallelogram.
Correct Answer:
D
— A parallelogram
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Q. If a quadrilateral is both a rectangle and a rhombus, what is it called?
A.
Square
B.
Trapezium
C.
Parallelogram
D.
Kite
Show solution
Solution
A quadrilateral that is both a rectangle and a rhombus is called a square.
Correct Answer:
A
— Square
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Q. If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?
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Solution
Using the ratio, if 3 cups of sugar require 2 cups of flour, then 9 cups of sugar require (2/3) * 9 = 6 cups of flour.
Correct Answer:
C
— 6
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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
Show solution
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 rectangle has a length that is twice its width and the perimeter is 48 cm, what is the area of the rectangle?
A.
96 cm²
B.
144 cm²
C.
192 cm²
D.
256 cm²
Show solution
Solution
Let width = w, then length = 2w. Perimeter = 2(length + width) = 48. Thus, 2(2w + w) = 48, leading to 6w = 48, so w = 8 cm. Area = length * width = 2w * w = 2*8*8 = 128 cm².
Correct Answer:
B
— 144 cm²
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Q. If a salary of $50,000 is increased by 10% and then decreased by 10%, what is the final salary?
A.
$50,000
B.
$49,500
C.
$51,000
D.
$52,000
Show solution
Solution
New salary after increase = 50000 * 1.10 = $55,000. After decrease = 55000 * 0.90 = $49,500.
Correct Answer:
B
— $49,500
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Q. If a seller incurs a loss of 10% on selling a bicycle for $450, what was the cost price?
A.
$500
B.
$450
C.
$400
D.
$350
Show solution
Solution
Let the cost price be x. Then, 450 = x - 10% of x => 450 = x - 0.1x => 450 = 0.9x => x = 500.
Correct Answer:
A
— $500
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Q. If a seller incurs a loss of 15% on selling a bicycle for $255, what was the cost price? (2023)
A.
$300
B.
$280
C.
$270
D.
$250
Show solution
Solution
Let the cost price be x. Selling Price = x - (15/100 * x) = 255. Thus, 0.85x = 255, x = 300.
Correct Answer:
A
— $300
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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
Show solution
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 seller marks up the price of a product by 50% and then offers a discount of 20%, what is the effective percentage increase in the price?
A.
30%
B.
25%
C.
20%
D.
15%
Show solution
Solution
Let the cost price be $100. Marked Price = $100 + ($100 * 0.50) = $150. Selling Price after discount = $150 - ($150 * 0.20) = $120. Effective increase = (($120 - $100) / $100) * 100 = 20%.
Correct Answer:
B
— 25%
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Q. If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)
Show solution
Solution
Substituting n = 7 into the formula gives a_7 = 3(7) + 1 = 21 + 1 = 22.
Correct Answer:
A
— 22
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Q. If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
Show solution
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 sequence is defined by the formula a_n = 3n + 2, what is the value of a_7? (2023)
Show solution
Solution
Substituting n = 7 into the formula gives a_7 = 3(7) + 2 = 21 + 2 = 23.
Correct Answer:
A
— 23
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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.
{}
Show solution
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?
Show solution
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?
Show solution
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 as {x | x is a fruit and x is red}, which of the following fruits would NOT be included in this set?
A.
Apple
B.
Banana
C.
Cherry
D.
Strawberry
Show solution
Solution
The fruit 'Banana' would not be included in the set as it is not red.
Correct Answer:
B
— Banana
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