The correct answer is (D). This series is made up of two separate subseries that alternate:
1. A series of numbers (the odd terms) that increase by 5 (5, 10, 15).
2. A series of numbers (the even terms) that decrease by 2 (15, 13, 11)
The pattern is: 5, 15, 10, 13, 15, 11, ___
As you can see, the numbers that increase by 5 are bolded, and the numbers that decrease by 2 are underlined. We are missing the seventh number which is an odd term; therefore, it should be greater than the last odd term (the fifth number) by 5.
The fifth number is 15. Thus, the answer is 15 + 5 = 20
The correct answer is (F) - None of the above.
First of all, in order to simplify the calculations we can divide all the numbers by a common denominator: 1000, in that way we can get rid of all those annoying zeroes. Now we define the used cars as U (with a price of 7 each) and the new cars as N (with a price of 16 each) Now we can build two equations, the first representing the total price and the second the total amount of cars:
b. N+U= 17
So according to the second equation N = 17-U, and we can now substitute N in the first equation: 7U+16(17-U)=191 ; 7U+272-16U=191 ; 9U=81 ; U=9. 9 used cars were sold.
Solving Tip: You could try solving this question by elimination. For starters, since 191 is an odd number and 16 is an even number, then the number of used cars must be odd (even+odd=odd) - which means we can eliminate answers A, D & E. Now that we are left only with B and C, let's try to calculate it for each of these options:
. 37 + 16*(17-3) = 245, which means we can eliminate B as an answer.
. 57 + 16*(17-5) = 227, which means we can eliminate C as an answer.
Therefore, the only possible answer is F - none of the above.
Which alternative includes all the states that border Oklahoma?
A. Texas, New Mexico, Arkansas, Missouri, Kansas, Colorado
B. Texas, Arkansas, Missouri, Kansas, Louisiana, Colorado
C. Texas, New Mexico, Mississippi, Missouri, Kansas, Colorado
D. Texas, New Mexico, Kansas
E. Texas, Arkansas, Missouri, Kansas, Colorado
The correct answer is (E). To solve this questions correctly, it is necessary to understand the relationship between X and Y (oranges and fruits). Creating a sentence with the first pair of words and applying it to the second pair is a useful method for solving this type of question. Thus, we should phrase a sentence to define what X is to Y.
Oranges are a specific kind of fruit.
Now, we can try to apply this relation to shapes:
A. Angles are a specific kind of shape.
B. Dimensions are a specific kind of shape.
C. Dots are a specific kind of shape.
D. Rulers are a specific kind of shape.
E. Triangles are a specific kind of shape.
Options B, dimensions, can be eliminated because it is a characteristic of a shape, not a type of one.
Option D, rulers, can also be eliminated as rulers may assist us in creating shapes, but they are not a shape. Angles, dots, and triangles are the only options left.
Although angles and dots are a part of shapes, they do not constitute as shapes. Thus, the correct answer is E.
The correct answer is (B). All the information given is based on the relation between Jade's age and Rose's age. Let's denote Jade's age by X and Rose's age by Y. "Jade is 9 years older than Rose " - we can translate this information into an equation.
X = Y + 9
Unfortunately, an equation with two variables is not solvable unless we have another equation. "In 4 years' time, Jade's age will be double Rose's age" - the second sentence also represents a relation. It means that in 4 years Jade's age will be X+4 and will be double Rose's age, which will be Y+4. Look at the equation below:
X + 4 = 2 (Y + 4)
Now we have two different equations with 2 variables. The first variable (X) is isolated in the first equation so we can insert its value in the second equation by denoting X as an expression of Y.
(Y + 9) + 4 = 2(Y + 4)
(Y + 9) + 4 = 2Y + 8
Y + 13 = 2Y + 8
Y = 5
Another method: Is understanding the relation between the ages too difficult? You can't convert them into equations properly? There is another way to solve this question without all those calculations.
The question asks about their ages, and the alternatives offer different ages to choose from. We do not need to try and find the answers ourselves because one of the answers is correct (and if not, the alternative "Cannot be determined" is correct). All we have to do is to check which of the values from the answers fits into the right terms that the question states. We need to find two different ages, with a 9-year gap between them. Furthermore, Jade has to be the older one. The only answers which fit are B and D.
How can we determine which one of them is the correct answer?
The second relation between the ages will help. In 4 years Jade will be twice as old as Rose.
Answer B is correct because if Jade is now 14 and Rose is 5, in 4 years' time Jade will be 18 and Rose will be 9.
18 is twice as much as 9 so this can be the right answer. Although it fits the information the answer "Cannot be determined" is a trap. Why is that? Because maybe there are two correct answers. If there are, the correct answer is "Cannot be determined." Therefore, we have to check whether answer D fits the terms as well. If it doesn't, the correct answer is B, and if it does the correct answer is E.
Answer D contradicts the information, because in 4 years' time Jade will be 14 and Rose will be 5. 5*2 is not 14 and therefore the correct answer is B.
How many of the six pairs of items listed below are exact duplicates?
Myron, J.T. Mryon, J.T.
Bitters M.M. Bitters M.M
Aldrich, B.J. Aldrich, B.J.
Hoff, J.B. Hoff, J.P.
Elvis, P.R. Elvis, P.R.
Which following list of odd numbers totals 56?
7, 11, 13, 23
11, 12, 15, 18
9, 11, 13, 15
11, 13, 15, 17
13, 15, 17, 19
How many of the pairs of names below are exact duplicates?
Walmer, M.C. Walmer, M.C.
Johnson, S.N. Johnson, S.M.
Grayson, E.F. Grayson, E.F.
Elbers, E.L. Elbers, E.L.
Metiva, F.B. Meteva, F.B.