|
291
|
Is the integer x a 3-digit integer?
1. x is the square of an integer.
2. 90 < x < 150
|
|
292
|
If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ?
1.Each odd-numbered term is either 0 or 2.
2.The 3rd term is 2.
|
|
293
|
Is the sum of four particular integers even?
1.Two of the integers are odd and two are even.
2.The average (arithmetic mean) of the four integers is an integer.
|
|
294
|
If a school district paid a total of $35 per desk for x desks and a total of $30 per table for y tables, what was the total amount that the district paid for these desks and tables?
1.The total amount the district paid for the y tables was $900.
2.x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.
|
|
295
|
Three children inherited a total of X dollars. If the oldest child inherited $7,000 more than the youngest child, and the youngest child inherited $9,000 less than the middle child, what is the value of X ?
1.The middle child inherited $27,000.
2.The youngest child and the middle child together inherited a total of $45,000.
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|
296
|
If xyz ≠ 0, what is the value of $$\frac{x^{4}z^{2}}{z^{2}y^{2}}$$
1.$$y^{2}=x^{4}$$
2.$$x = 2$$ and $$y = 4$$
|
|
297
|
If a and b are integers, and b > 0, does $$\frac{a-1}{b+1}=\frac{a}{b}$$
1.$$a = b – 4$$
2.$$a = –b$$
|
|
298
|
In a sequence of numbers in which each term is 2 more than the preceding term, what is the fourth term?
1.The last term is 90.
2.The first term is 2.
|
|
299
|
Is the integer p divisible by 5 ?
1.p is divisible by 10.
2.p is not divisible by 15.
|
|
300
|
The 9 squares above are to be filled with x `s and o `s, with only one symbol in each square. How many of the squares will contain an x ?
1.More than $$\frac{1}{2}$$ of the number of squares will contain an o.
2.Each of the 4 corner squares will contain an x.
|
|
301
|
Is the sum of two integers divisible by 10 ?
1.One of the integers is even.
2.One of the integers is a multiple of 5.
|
|
302
|
Is x an integer?
1.$$x^{3} = 8$$
2.$$x = \sqrt{4}$$
|
|
303
|
If a building has 6,000 square meters of floor space, how many offices are in the building?
1.Exactly $$\frac{1}{4}$$ of the floor space is not used for offices.
2.There are exactly 20 executive offices and each of these occupies 3 times as much floor space as the average for all of the remaining offices.
|
|
304
|
If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x ?
1.Twice x is equal to the sum of p, r, and s.
2.The sum of p, r, and s is zero.
|
|
305
|
If m and n are integers, what is the value of m + n ?
1.$$(x + m)(x + n) = x^{2} + 5x + mn\ and\ x ≠ 0.$$
2.$$mn = 4$$
|
|
306
|
In the figure above, RST is a triangle with angle measures as shown and PRTQ is a line segment. What is the value of x + y ?
1.s = 40
2.r = 70
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|
307
|
If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?
1.R is between S and T.
2.S is to the left of R, and T is to the right of R.
|
|
308
|
Is n equal to zero?
1.The product of n and some nonzero number is 0.
2.The sum of n and 0 is 0.
|
|
309
|
On a map,$$\frac{1}{2}$$ inch represents 100 miles. According to this map, how many miles is City X from City Y ?
1.City X is 3 inches from City Y on the map.
2.Cities X and Y are each 300 miles from City Z.
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|
310
|
What is the remainder when the positive integer n is divided by 5 ?
1.When n is divided by 3, the quotient is 4 and the remainder is 1.
2.When n is divided by 4, the remainder is 1.
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