x is positive
x19 | x20 |
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Solution
X could be any positive number (a fraction, 1, or greater than1)
If x is 1, both columns will be equal, otherwise they are not ...and so the answer is D.
A is a point on the circle and BC is a chord but not a diameter of the circle
x | 90 |
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Solution
If BC were a diameter then the marked angle would be 90.
Since we are told that it is not a diameter, the measure of the angle could be less or more depending on where we draw the chord.
10mm = 1 cm
The area of a square with sides of one centimeter | 10 times the area of a square with sides of 1mm |
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Solution
1cm² is the equivalent of 100mm²
So the right side is much less since it is only 10mm²
AB is parallel to ED
BCE and ACD are line segments
length of BC | Length of CA |
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Solution
Be careful when the figure is not to scale. Redraw exaggerating the shape. (For example, you could put A and E in line). You will then find that although they look equal here, BC and CA are not necessarily equal. (But they could be sometimes.) Hence this is a D answer.
7/8 > x > 5/6
x | 6/7 |
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Solution
If you are not confident of fractions, convert to decimals.
So 7/8 = 0.875, 5/6 = 0.8333and 6/7 = 0.857 (approx)
Now we can see that 6/7 does lie between the given fractions, but x could be bigger or smaller and still lie between 0.875 and 0.8333
The list price of a television set is t dollars
The price of the TV in a sale offering a 15 percent discount | 0.85t dollars |
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Solution
A fifteen percent discount means that you get the item at 85 percent of its original price.
85 percent of t is the equivalent of 0.85t
x² – 12x + 35 = 0
x | 12 |
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Solution
This is a quadratic equation. Factorize into (x - 5)(x - 7) = 0
So x must be either 5 or 7. Both answers are less than 12.
The number of students in class A is 10 less than twice the number of students in class B. There are x students in class B.
The number of students in class A | 2x – 10 |
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Solution
Frame the information into a mathematical statement. Twice the number of students in class B = 2x.
The number in class A is 10 less, i.e. 2x - 10. So both are equivalent.
n is an even integer
The remainder when n is divided by 3 | The remainder when n is divided by 5 |
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Solution
Try a couple of even numbers for n. Take 10 for example. The remainder on the left will be 1, and on the right, 0. But taking 12, will give remainder 0 on the left, and 2 on the right. These two situations are sufficient to determine the answer must be D.
28 | 116 |
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Solution
The number 1 raised to any power is always 1. So 28 is obviously much larger.