N/A
What is the value of the two-digit integer x ?
(1) The sum of the two digits is 3.
(2) x is divisible by 3.
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N/A
Is 5^k less than 1,000?
(1) 5
(k+1)
>3,000
(2) 5
(kâ1)
=
5
k
â500
705-805 (Hard)
The government of Nation X makes policy decisions intended to advance the public interest, such as policy decisions aiming to promote employment, economic flourishing, and environmental protection. A policy decision can involve a significant trade-off, i.e., it can entail foreseeably giving up part or all of one valued outcome in the pursuit of another valued outcome. Does a policy decision by Nation X to permit extensive clearcutting of forests provide a valued outcome at the expense of another valued outcome?
(1) Extensive clearcutting of forests is permitted in Nation X because it provides immediate economic gains by enabling businesses such as farming and lumbering to flourish and provide employment.
(2) Extensive clearcutting of forests is permitted in Nation X even though it reduces forestsâ absorption of carbon dioxide, and this indirectly contributes to global warming, resulting in adverse climate changes that are certain to be very costly for Nation X to manage.
605-655 (Medium)
Is the positive integer p prime?
(1) p has exactly two positive divisors.
(2) p > 2 and p is odd.
N/A
Is William taller than Jane?
(1) William is taller than Anna.
(2) Anna is not as tall as Jane.
N/A
A rectangular garden that is 10 feet long and 5 feet wide is to be covered with a layer of mulch 0.5 foot deep. At which store, K or L, will the cost of the necessary amount of mulch be less?
(1) Store K sells mulch only in bags, each of which costs $7 and contains 6.25 cubic feet of mulch.
(2) Store L sells mulch only in bags, each of which costs $40 and contains 25 cubic feet of mulch.
N/A
A thoroughly blended biscuit mix includes only flour and baking powder. What is the ratio of the number of grams of baking powder to the number of grams of flour in the mix?
(1) Exactly 9.9 grams of flour is contained in 10 grams of the mix.
(2) Exactly 0.3 gram of baking powder is contained in 30 grams of the mix
N/A
If r and s are integers, is r+s divisible by 3?
(1) s is divisible by 3
(2) r is not divisible by 3
N/A
If x and y are integers, what is the value of y ?
(1) xy = 27
(2) x = y^2
N/A
If x + 2y = 6, what is the value of x ?
(1) 2x + y = 9
(2) 3x + 2y = 14
N/A
What are the populations of Cities Y and Z ?
(1) The population of City Z is 275,000 more than the population of City Y.
(2) The ratio of the population of City Z to the population of City Y is 76 to 21.
This is a DS Butler Question
Check the links to other Butler Projects:
Problem Solving Butler
Critical Reasoning Butler
Sentence Correction Butler
Reading Comprehension Butler
Integrated Reasoning Butler
N/A
Is the number x between 0.2 and 0.7?
(1) 560x < 280
(2) 700x > 280
N/A
How many numbers do the sets S and T have in common?
(1) S is a set of 10 numbers.
(2) T is a set of 100 numbers.
505-555 (Easy)
Mohit went cycling on 10 consecutive days. Every day he started from Point X, cycled a certain distance in an easterly direction, and then returned to Point X. What is the total distance he covered in those 10 days?
(1) From the second day onward, Mohit covered twice the distance he covered the previous day. On the fifth day, he covered 3.2 km from Point X east, and then back to Point X.
(2) On the first day, Mohit cycled less than 0.3 km.
605-655 (Medium)
If x ≠ 0, what is the value of (x^a / x^b)^2?
(1) a = b.
(2) x = 2.
N/A
In parallelogram ABCD above, what is the measure of â ADC?
(1) The measure of â ABC is greater than 90°.
(2) The measure of â BCD is 70°.
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N/A
If S = {2, 3, x, y}, what is the value of x + y?
(1) x and y are prime numbers.
(2) 3, x, and y are consecutive odd integers in ascending order.
N/A
If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
(1) The selling price minus the real estate agentâs commission was $84,600.
(2) The selling price was 250 percent of the original purchase price of $36,000.
N/A
What is the radius of the circle above with center O?
(1) The ratio of OP to PQ is 1 to 2.
(2) P is the midpoint of chord AB.
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N/A
In the figure above, segments PR and QR are each parallel to one of the rectangular coordinate axes. Is the ratio of the length of QR to the length of PR equal to 1?
(1) c = 3 and d = 4.
(2) a = -2 and b = -1.
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