question stringlengths 1 2.65k | choices listlengths 4 4 | answer stringclasses 4
values | explanation stringlengths 0 4.47k | dataset int64 0 7 |
|---|---|---|---|---|
The group of plants that can make their own food from inorganic raw materials in the presence of sunlight are referred to as what? | [
"autosynonomys",
"autotrophic",
"heterotrophic",
"symbiotic"
] | B | Plants obtain food in two different ways. Autotrophic plants can make their own food from inorganic raw materials, such as carbon dioxide and water, through photosynthesis in the presence of sunlight. Green plants are included in this group. Some plants, however, are heterotrophic: they are totally parasitic and lackin... | 7 |
Living near any body of water puts your home at risk of flooding, if there is? | [
"too much rainfall",
"West Virginia",
"Jelly Beans",
"Tape"
] | A | storms cause bodies of water to increase amount of water they contain | 6 |
What is part of a cycle that holds an element or water for a long period of time called? | [
"homeostasis",
"a reservoir",
"a ditch",
"a holding tank"
] | B | Part of a cycle that holds an element or water for a long period of time is called a reservoir . The ocean is a reservoir for water. The deep ocean may hold water for thousands of years. | 7 |
a , b , c can do a piece of work in 11 days , 20 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by b and c on alternate days ? | [
"8",
"12",
"10",
"2"
] | A | a + b 1 day work = 1 / 11 + 1 / 20 = 31 / 220 a + c 1 day work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 days = 31 / 220 + 6 / 55 = 55 / 220 = 1 / 4 1 / 4 work is done by a in 2 days whole work will be done in 2 * 4 = 8 days answer is c | 5 |
if a , b , c and d are positive integers less than 4 , and 4 ^ a + 3 ^ b + 2 ^ c + 1 ^ d = 78 then what is the value of b / c ? | [
"1 / 3",
"3",
"2",
"1"
] | D | since a , b and c are positive integers less than 4 we have the following possibilities : 4 ^ a = 416 , or 64 3 ^ b = 39 , or 27 2 ^ c = 24 , or 8 trial and error gives us quite quick the solution of 4 ^ a = 64 3 ^ b = 9 2 ^ c = 4 64 + 9 + 4 = 77 i . e . c = 2 and b = 2 - - - - > b / c = 1 / 1 = 1 the correct answer is... | 5 |
In the eight-term sequence $A,B,C,D,E,F,G,H$, the value of $C$ is $5$ and the sum of any three consecutive terms is $30$. What is $A+H$? | [
"\\text{(A)}",
"50",
"25",
"55"
] | C | We will consider the sum $A+B+C+D+E+F+G+H$. We know that the sum of any three consecutive terms is $30$ and that $C=5$, so $A+B+C=A+B+5=30$ and thus $A+B=25$. Now, we have
\[A+B+C+D+E+F+G+H=A+(B+C+D)+(E+F+G)+H=A+30+30+H=A+H+60\]and
\[A+B+C+D+E+F+G+H=(A+B)+(C+D+E)+(F+G+H)=25+30+30=85.\]Equating the two values we obtaine... | 4 |
salesperson a ' s compensation for any week is $ 300 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? | [
"$ 12",
"$ 4000",
"$ 21",
"$ 18"
] | A | "300 + 0.06 ( x - 1000 ) = 0.08 x 0.02 x = 240 x = $ 12,000 the answer is c ." | 5 |
What do rotating vanes on an electric fan do to air? | [
"dampen",
"circulate",
"cool",
"warm"
] | B | the vanes rotating in an electric fan causes air to move | 6 |
A parametric graph is given by
\begin{align*}
x &= \cos t + \frac{t}{2}, \\
y &= \sin t.
\end{align*}How many times does the graph intersect itself between $x = 1$ and $x = 40$? | [
"12",
"2 \\cdot 21 = 42",
"16",
"3"
] | A | The portion of the path for $-\frac{5 \pi}{2} \le t \le \frac{7 \pi}{2}$ is shown below. The corresponding value of $t$ is labelled for certain points.
[asy]
unitsize(1 cm);
pair moo (real t) {
return (cos(t) + t/2, sin(t));
}
real t;
path foo = moo(-5/2*pi);
for (t = -5/2*pi; t <= 7/2*pi; t = t + 0.1) {
foo = foo-... | 4 |
Refraction happens when light bends from doing what in a new medium? | [
"changing speed",
"changing brightness",
"changing color",
"changing trajectory"
] | A | Facts are true. Data, gathered correctly, is factual. Facts and data are not subject to opinion or bias. | 7 |
50 % of a number is more than 20 % of 650 by 190 . find the number ? | [
"121",
"800",
"640",
"278"
] | C | "( 50 / 100 ) * x â € “ ( 20 / 100 ) * 650 = 190 1 / 2 x = 320 x = 640 answer : a" | 5 |
a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 1200 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as ... | [
"142",
"122",
"132",
"152"
] | C | "cost price = 1200 profit = 10 % = 10 % of 1200 = 120 selling price = cp + profit sp = 1320 a discount of 10 % to employees means 10 % off on 1320 so 10 % of 1320 = 132 ans b" | 5 |
in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 100 bricks in the wall , how many bricks does the bottom row contain ? | [
"19",
"18",
"17",
"16"
] | B | "the bottom row has x bricks x + x - 1 + x - 2 + x - 3 + x - 4 = 100 5 x - 10 = 100 5 x = 90 x = 18 answer : a" | 5 |
Last Sunday, Logan went to church and realized that the number of children present was 80. If there were 60 male adults, and the total number of people in the church was 200, how many female adults were present? | [
"60.0",
"100.0",
"75.0",
"140.0"
] | A | The total number of male adults and children is 80+60 = <<80+60=140>>140 people.
The number of females is 200-140 = <<200-140=60>>60 female adults.
#### 60 | 3 |
What is the relationship between a community and a population? | [
"A population is smaller than a community.",
"A population is larger than a community.",
"A population includes communities of organisms interacting.",
"A community includes populations of organisms interacting."
] | D | 0 | |
if x / 4 + 24 / x = 5 , what are the values of 4 x - 7 ? | [
"25 and 41",
"8 and 24",
"12 and 29",
"17 and 29"
] | A | i got the same thing c is the answer 25 or 41 | 5 |
What kind of plants do not need adaptations for absorbing, transporting, and conserving water? | [
"aquatic plants",
"terrestrial plants",
"desert plants",
"normal plants"
] | A | Aquatic plants are plants that live in water. Living in water has certain advantages for plants. One advantage is, well, the water. There’s plenty of it and it’s all around. Therefore, most aquatic plants do not need adaptations for absorbing, transporting, and conserving water. They can save energy and matter by not g... | 7 |
Oil is a source of a material used for an object with | [
"wood planks",
"cardboard",
"a large stone",
"wheels"
] | D | oil is a source of gasoline | 6 |
Gasoline for cars is produced from fossil fuels. Using gasoline can most likely lead to which environmental problem? | [
"soil erosion",
"water pollution",
"wildlife extinction",
"global warming"
] | D | 1 | |
Which chemical element is the basis of all life on earth? | [
"carbon",
"nitrogen",
"oxygen",
"hydrogen"
] | A | Carbon is an element. Carbon is the basis of all life on Earth. Since carbon can combine with many other elements it forms a variety of different substances. | 7 |
the ratio of three numbers is 6 : 7 : 5 and their sum is 108 . the second number of the three numbers is ? | [
"36",
"30",
"42",
"12"
] | C | "explanation : 6 : 7 : 5 total parts = 18 18 parts - - > 108 1 part - - - - > 6 the second number of the three numbers is = 7 7 parts - - - - > 42 answer : option b" | 5 |
Free ear lobes, widow's peak and a dimpled chin are examples of what kind of traits in humans? | [
"mendelian",
"spontaneous mutations",
"genetic disorders",
"adaptations"
] | A | In many instances, the relationship between genes and inheritance is more complex than that which Mendel found. Nevertheless, geneticists have since found that Mendel’s findings can be applied to many organisms. For example, there are clear patterns of Mendelian inheritance in humans. These include the inheritance of n... | 7 |
Let the ordered triples $(x,y,z)$ of complex numbers that satisfy
\begin{align*}
x + yz &= 7, \\
y + xz &= 10, \\
z + xy &= 10.
\end{align*}be $(x_1,y_1,z_1),$ $(x_2,y_2,z_2),$ $\dots,$ $(x_n,y_n,z_n).$ Find $x_1 + x_2 + \dots + x_n.$ | [
"10",
"30",
"13",
"7"
] | D | Subtracting the equations $y + xz = 10$ and $z + xy = 10,$ we get
\[y + xz - z - xy = 0.\]Then $y - z + x(z - y) = 0,$ so $(y - z)(1 - x) = 0.$ Hence, $y = z$ or $x = 1.$
If $x = 1,$ then $yz = 6$ and $y + z = 10.$ Then by Vieta's formulas, $y$ and $z$ are the roots of $t^2 - 10t + 6 = 0.$ Thus, $x = 1$ for two orde... | 4 |
If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder? | [
"0",
"3",
"19",
"\\pm1"
] | B | For positive integers $n$ greater than 4, $n!$ is divisible by 15. Therefore, all the terms beyond $1!+2!+3!+4!$ do not affect the remainder of the sum when it is divided by 15. The remainder when $1!+2!+3!+4!=33$ is divided by 15 is $\boxed{3}$. | 4 |
find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 asquotient and the 15 as remainder ? | [
"1678",
"1567",
"1635",
"1335"
] | C | "let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 15 5 x = 1350 x = 270 large number = 270 + 1365 = 1635 e" | 5 |
a boat having a length 6 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : | [
"100 kg",
"120 kg",
"180 kg",
"110 kg"
] | C | "volume of water displaced = ( 6 x 3 x 0.01 ) m 3 = 0.18 m 3 . mass of man = volume of water displaced x density of water = ( 0.18 x 1000 ) kg = 180 kg . answer : d" | 5 |
if the radius of a circle that centers at the origin is 5 , how many k points on the circle have integer coordinates ? | [
"20",
"15",
"12",
"4"
] | C | "i understand this might not be required but i used the equation of a circle . since the origin is at 0 , x ^ 2 + y ^ 2 = 5 ^ 2 . x , y could be + / - ( 0,5 or 5,0 ) - 4 possibilities . x , y could be + / - ( 3,4 or 4,3 ) - 8 possibilities . ans : k = c" | 5 |
How many times do the graphs $r = 4 \cos \theta$ and $r = 8 \sin \theta$ intersect? | [
"1.2",
"21",
"8",
"2"
] | D | For $r = 4 \cos \theta,$
\begin{align*}
x &= r \cos \theta = 4 \cos^2 \theta = 2 \cos 2 \theta + 2, \\
y &= r \sin \theta = 4 \sin \theta \cos \theta = 2 \sin 2 \theta.
\end{align*}Hence,
\[(x - 2)^2 + y^2 = 4 \cos^2 2 \theta + 4 \sin^2 2 \theta = 4.\]Thus, the graph of $r = 4 \cos \theta$ is the circle centered at $(2... | 4 |
excluding stoppages , the speed of the bus is 54 kms / hr and with stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ? | [
"12",
"20",
"10",
"11"
] | C | by including stoppages , bus will cover 9 km less . . ( 54 km - 45 km = 9 km ) excluding stoppages , x = 54 kmph including stoppages , y = 45 kmph difference , z = 9 km time taken to cover that 9 km ( bus stops per hour ( 60 minutes ) ) = z / x ( 60 minutes ) = 9 / 54 ( 60 ) = 1 / 6 ( 60 ) = 10 minutes . answer : b | 5 |
Individuals with sickle cell anemia have crescent-shaped what? | [
"nerve cells",
"glial cells",
"white blood cells",
"red blood cells"
] | D | Figure 39.21 Individuals with sickle cell anemia have crescent-shaped red blood cells. (credit: modification of work by Ed Uthman; scale-bar data from Matt Russell). | 7 |
when asked what the time is , a person answered that the amount of time left is 3 / 5 of the time already completed . what is the time . | [
"3 pm",
"6 pm",
"8 pm",
"2 pm"
] | A | "a day has 24 hrs . assume x hours have passed . remaining time is ( 24 - x ) 24 − x = 3 / 5 x ⇒ x = 15 time is 3 pm answer : c" | 5 |
the average age of 20 students in a class is 5 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? | [
"28",
"24",
"22",
"20"
] | D | "total age of 50 students = 20 * 5 = 100 total age of 51 persons = 20 * 6 = 120 age of teacher = 120 - 100 = 20 years answer is c" | 5 |
A mouse is made up of | [
"straw",
"organic material",
"dairy",
"buttons"
] | B | an organism is a source of organic material | 6 |
Echinoderms have a unique system for gas exchange, nutrient circulation, and locomotion called the water vascular system. the system consists of a central ring canal and radial canals extending along each arm. water circulates through these structures allowing for gas, nutrient, and this? | [
"nerve exchange",
"cell exchange",
"waste exchange",
"water evaporation"
] | C | Physiological Processes of Echinoderms Echinoderms have a unique system for gas exchange, nutrient circulation, and locomotion called the water vascular system. The system consists of a central ring canal and radial canals extending along each arm. Water circulates through these structures allowing for gas, nutrient, a... | 7 |
What properties describe the existence of matter, as opposed to chemical properties that describe how substances change into other substances? | [
"gravitational",
"physical",
"biological",
"astronomical"
] | B | Physical properties describe the existence of matter, and chemical properties describe how substances change into other substances. | 7 |
How many different 7-digit positive integers exist? (Note that we don't allow "7-digit" integers that start with 0, such as 0123456; this is actually a 6-digit integer.) | [
"18909",
"8",
"9,\\!000,\\!000",
"540"
] | C | There are 9 choices for the first digit (it can be 1-9) and 10 choices for each of the other 6 digits (they can be 0-9). So there are $9 \cdot 10^6 = \boxed{9,\!000,\!000}$ possible numbers. | 4 |
A library has six identical copies of a certain book. At any given time, some of these copies are at the library and some are checked out. How many different ways are there for some of the books to be in the library and the rest to be checked out if at least one book is in the library and at least one is checked out? ... | [
"49",
"\\dfrac{1}{12}",
"5",
"10\\cdot\\binom{4}{2}\\binom{6}{4}"
] | C | From 1 to 5 books can be in the library, and the rest are checked out. Therefore, there are $\boxed{5}$ possibilities. | 4 |
the average runs of a cricket player of 13 innings was 22 . how many runs must he make in his next innings so as to increase his average of runs by 5 ? | [
"84",
"76",
"92",
"42"
] | C | explanation : average after 14 innings = 27 required number of runs = ( 27 * 14 ) – ( 22 * 13 ) = 378 – 286 = 92 answer a | 5 |
What are needed to oxidize the noble gases to form compounds in positive oxidation states? | [
"bacteria oxidants",
"protein oxidants",
"potent oxidants",
"metal oxidants"
] | C | Potent oxidants are needed to oxidize the noble gases to form compounds in positive oxidation states. | 7 |
when 100 is divided by positive integer x , the remainder is 3 . what is the remainder when 197 is divided by x ? | [
"6",
"4",
"8",
"3"
] | D | if 100 / x leaves a reminder 3 then ( 100 - 3 ) i . e . 97 is divisible by x so ( 100 + 97 ) / x leaves a reminder rem ( 100 / x ) + rem ( 97 / x ) = > 3 + 0 = 3 answer : b | 5 |
The total for the sum and product of Elvie's age and Arielle's age are 131. If Elvie's age is 10, how old is Arielle? | [
"121.0",
"11.0",
"111.0",
"32.0"
] | B | Let's say Arielle's age is x
The sum of Elvie's age and Arielle's age is 10+x
The product of their ages is 10*x
The total for the sum and product of their ages is 10+x+10*x = 131
To find Ariel's age, we evaluate x, which is 10+11x = 131
This gives us a total of 11x=121
Arielle's age is x=121/11
The value of x, which is... | 3 |
The reaction that releases energy for use by the cell occurs in which site? | [
"Golgi apparatus",
"endoplasmic reticulum",
"cytoplasmic membrane",
"mitochondrial membrane"
] | D | 1 | |
working at constant rate , pump x pumped out half of the water in a flooded basement in 2 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constan... | [
"c . 14",
"d . 18",
"a . 10",
"b . 12"
] | B | rate of x = 1 / 8 rate of x + y = 1 / 6 rate of y = 1 / 6 - 1 / 8 = 1 / 24 18 hours d | 5 |
a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90000 . the 75 associates have an average salary of $ 30000 . what is the average salary for the company ? | [
"$ 55",
"$ 65",
"$ 75",
"$ 40"
] | D | another method is to get ratios say 30000 = a and we know the # of people are in 1 : 5 ratio average = ( 3 a * 1 + a * 5 ) / 6 = 8 a / 6 = 40000 answer is b . $ 40,000 | 5 |
What are the small units that comprise nucleic acids? | [
"nucleotides",
"filaments",
"chromosomes",
"genes"
] | A | DNA and RNA are nucleic acids. Nucleic acids are built of small units called nucleotides. | 7 |
a tailor trims 11 feet from opposite edges of a square piece of cloth , and 7 feet from the other two edges . if 84 square feet of cloth remain , what was the length of a side of the original piece of cloth ? | [
"28",
"27",
"29",
"30"
] | A | "let the original side of the square be x . ( x - 22 ) * ( x - 14 ) = 84 = 6 * 14 x = 28 the answer is c ." | 5 |
If waste is to be avoided, then a box should be | [
"left outside",
"burned quickly",
"thrown away",
"filled repeatedly"
] | D | An example of avoiding waste is using an object more than once | 6 |
Bronson is an apple dealer. He buys apples from farmers and then transports them to the grocery stores and sells them for profit. He buys individual apples from farmers at a cost of $12 per bushel, and sells them to the stores at a price of $0.40 per apple. If each bushel contains 48 apples, then how much profit, in... | [
"120.0",
"15.0",
"12.0",
"1000.0"
] | B | At a cost of $12 per bushel, and with 48 apples per bushel, then each apple costs Bronson $12/48=$<<12/48=0.25>>0.25
If he sells the apples to the stores at $0.40 per apple, then he makes a profit of $0.40-$0.25=$<<0.4-0.25=0.15>>0.15 per apple.
After selling 100 apples to the store, his profit would be 100*$0.15=$<<10... | 3 |
What are considered to be the most basic concepts in the field of physical science? | [
"energy and motion",
"force and matter",
"change and energy",
"matter and energy"
] | D | Matter and energy are the most basic concepts in physical science. Watch this video about matter and energy, and then answer the questions below. | 7 |
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 4 - percent solution ? | [
"16 2 / 3",
"35",
"33 1 / 3",
"21"
] | D | "how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 4 - percent solution ? 3 % of a 50 liter solution is 1.5 l . so you are trying to determine how many liters must a solution be for the 1.5 l to represent 4 % of the solution . set up an inequality and solve for x : 1.5 ... | 5 |
a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 3 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the sum of the numerator and denominator of the original fraction ? | [
"28",
"21",
"35",
"21 / 4"
] | D | x / y = 2 / 5 - > 1 ( x + 3 ) / 2 y = 1 / 3 - > 2 divide 1 by 2 : = > 2 x / ( x + 3 ) = 6 / 5 = > 10 x = 6 x + 18 = > x = 3 / 2 = > y = 5 / 2 * 3 / 2 = 15 / 4 so x + y = 21 / 4 the answer is a | 5 |
Two circles are drawn in a 12-inch by 14-inch rectangle. Each circle has a diameter of 6 inches. If the circles do not extend beyond the rectangular region, what is the greatest possible distance (in inches) between the centers of the two circles? | [
"10\\text{ inches}",
"5",
"9",
"B_1C_2=16"
] | A | Suppose we put the two circles in opposite corners of the rectangle so that the circles are tangent to the sides of the rectangle, and they are diagonally across from each other. Then the center of each circle is 3 inches in from each side of the rectangle that it touches. Now imagine a rectangle that has opposite corn... | 4 |
Which is the most accurate statement? | [
"finches with fat beaks can eat ants in a small anthill",
"finches with narrow beaks can eat only human meat",
"finches with narrow beaks can eat ants in a small anthill",
"finches with fat beaks can eat only human meat"
] | C | a skinny beak is used for obtaining food by a bird from small spaces | 6 |
Find $53\cdot\left(3\frac{1}{5} - 4\frac{1}{2}\right) \div \left(2\frac{3}{4} + 1\frac{2}{3} \right)$. Express your answer as a mixed number. | [
"-15\\frac{3}{5}",
"\\frac{32}{45}",
"53\\frac{119}{12}",
"\\frac{-1}{5}"
] | A | Converting all of the given mixed numbers into fractions, we find \begin{align*}
3\frac{1}{5}&=3+\frac{1}{5} =\frac{3 \cdot 5}{5} + \frac{1}{5} =\frac{15}{5} + \frac{1}{5}
=\frac{16}{5},\\
4\frac{1}{2}&=4 + \frac{1}{2}
=\frac{4 \cdot 2}{2} + \frac{1}{2}
=\frac{8}{2} + \frac{1}{2}
= \frac{9}{2}, \\
2\frac{3}{4} &= 2 + \... | 4 |
After exiting the gym, the man's heart rate was most likely? | [
"higher",
"lower",
"normal",
"fluctuating"
] | A | as energy required for an activity increases , pulse will increase | 6 |
a bowl of fruit contains 14 apples and 20 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ? | [
"17",
"20",
"6",
"14"
] | D | "number of apples = 14 number of oranges = 20 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 20 - x ) = 34 - x 14 / ( 34 - x ) = 7 / 10 = > 20 = 34 - x = > x = 14 answer c" | 5 |
if a tap could fill entire tank in 18 hrs due to leakage , then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage ? | [
"37 hrs",
"38 hrs",
"35 hrs",
"36 hrs"
] | D | if a tap could fill entire tank in 18 hrs due to leakage , tap can fill entire tank in 12 hrs without leakage . tank emptied in 0 ne hr by leakage = 1 / 12 - 1 / 18 = ( 6 - 4 ) / 72 = 2 / 72 = 1 / 36 . full tank can be emptied in 36 hrs . answer : b | 5 |
ages of two sisters differ by 9 years . if 5 years ago , the elder one was twice as old the younger one , find their present age | [
"1834",
"1932",
"1228",
"1423"
] | D | explanation : let the age of younger sister be x , then elder sister ' s age is ( x + 9 ) = > 2 ( x - 5 ) = ( x + 9 - 5 ) [ 5 years before ] = > 2 x - 10 = x + 4 = > x = 14 . so older sister ' s age is x + 9 = 23 answer : option b | 5 |
80 is what percent of 160 ? | [
"55 %",
"35 %",
"40 %",
"50 %"
] | D | 80 / 160 × 100 = 50 % answer : d | 5 |
Carol fills up her gas tank as she is driving home for college, which is 220 miles away. She can get 20 miles to the gallon in her car, which has a 16-gallon gas tank. How many more miles will she be able to drive after she gets home and without filling her tank again? | [
"100.0",
"40.0",
"264.0",
"620.0"
] | A | Divide the remaining miles of the trip by the miles per gallon her car gets. 220 miles / 20 miles/gallon = <<220/20=11>>11 gallons
Subtract the gallons used for the trip from the size of her gas tank. 16 gallons - 11 gallons = <<16-11=5>>5 gallons
Multiply the remaining number of gallons by the car's gas mileage. 5 gal... | 3 |
three circles of radius 3.5 cm are placed in such a way that each circle touches the other two . the area of the portion enclosed by the circles is | [
"1.963'",
"2.382']",
"3.388'",
"1.967'"
] | D | explanation : required area = ( area of an equilateral triangle of side 7 cm ) - ( 3 * area of sector with ã = 60 degrees and r = 3.5 cm ) \ inline { \ color { black } ( \ frac { \ sqrt { 3 } } { 4 } \ times 7 \ times 7 ) - ( 3 \ times \ frac { 22 } { 7 } \ times 3.5 \ times 3.5 \ times \ frac { 60 } { 360 } ) } sq cm ... | 5 |
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 6 % . what is population of after 2 year . | [
"141",
"142",
"145",
"143"
] | C | "next year total population = [ 150 ^ 2 + 90 ^ 2 ] ^ . 5 = 174.92 = 175 man decreased by 6 % so total man = 150 * . 94 = 141 women will be = 175 - 141 = 34 so population after two years = [ 135 ^ 2 + 34 ^ 2 ] ^ . 5 = 145.04 = 145 so population after two year = 145 answer : e" | 5 |
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length ? | [
"15",
"16.5",
"16.8",
"16.1"
] | A | "d = 110 + 140 = 250 m s = 60 * 5 / 18 = 50 / 3 t = 250 * 3 / 50 = 15 sec answer : c" | 5 |
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 45 , what is the total amount ? | [
"105",
"175",
"177",
"166"
] | B | "x : y : z = 100 : 45 : 30 20 : 9 : 6 9 - - - 45 35 - - - ? = > 175 answer : c" | 5 |
Andy needs to drive from Salt Lake City to Los Angeles. The drive from Salt Lake City to Las Vegas is 420 miles. The drive from Las Vegas to Los Angeles is 273 miles. He wants to make the drive in 11 hours. What's the average minimum speed that Andy needs to drive to reach Los Angeles in 11 hours? | [
"33.23",
"63.0",
"7.674",
"1.36"
] | B | The total distance of the trip is 420 + 273 = <<420+273=693>>693 miles.
To make the trip Andy must drive 693 miles / 11 hours = <<693/11=63>>63 miles per hour.
#### 63 | 3 |
when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 5 ] * [ 4 ] = ? | [
"[ 44 ]",
"[ 45 ]",
"[ 33 ]",
"[ 88 ]"
] | C | "[ 5 ] * [ 4 ] = ( 2 * 5 + 1 ) ( 4 / 2 + 1 ) = [ 33 ] . ans - a" | 5 |
Tom finds 10 quarters, 3 dimes, and 4 nickels and 200 pennies. In dollars, how much money did he find? | [
"60.0",
"1.0",
"55.0",
"5.0"
] | D | He found 10*.25=$<<10*.25=2.5>>2.5 in quarters
He found 3*.1=$<<3*.1=.3>>.3 in dimes
He found 4*.05=$<<4*.05=.2>>.2 in nickels
He found 200*.01=$<<200*.01=2>>2 in pennies
So in total, he found $2.5 + $0.3 + $0.2 + $2 = $<<2.5+0.3+0.2+2=5>>5
#### 5 | 3 |
Aliya and her classmates are sent by their teacher to the field to collect insects for science class study. The Boys collected 200 insects and the girls collected 300 insects. The teacher decided to divide the class equally into four groups that each get an equal number of insects so that each group could study togethe... | [
"200.0",
"138.0",
"150.0",
"125.0"
] | D | The total number of insects collected is 200 insects + 300 insects = <<200+300=500>>500 insects.
When the teacher divided the class into four groups, each group got 500 insects / 4 groups = <<500/4=125>>125 insects/group
#### 125 | 3 |
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 380 m long platform ? | [
"27",
"50",
"47",
"28"
] | B | "let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 380 ) / 36 * 5 / 18 = 50 min . answer : a" | 5 |
In human females, the mammary glands are associated with, but not part of, what organ system that is used to create new humans? | [
"immune",
"endocrine",
"digestive",
"reproductive"
] | D | 7 | |
the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 20 , 60 , and what number ? | [
"30",
"35",
"40",
"25"
] | D | "a 1 = 120 / 3 = 40 a 2 = a 1 - 5 = 35 sum of second list = 35 * 3 = 105 therefore the number = 105 - 80 = 25 a" | 5 |
one side of a rectangular field is 16 m and one of its diagonal is 18 m . find the area of the field . | [
"none",
"120",
"100",
"180"
] | A | "solution other side = √ ( 18 ) 2 - ( 16 ) 2 = √ 324 - 256 = √ 68 = 8.2 m . ∴ area = ( 16 x 8.2 ) m 2 = 131.2 m 2 . answer e" | 5 |
if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 5 m + n ? | [
"65",
"33",
"25",
"18"
] | A | "k ^ 4 = 5400 ∗ mn k ^ 4 = 3 ^ 3.2 ^ 3.5 ^ 2 . mn in order to make rhs a perfect power of 4 , we require it to be multiplied by 3 , 2 & 5 ^ 2 mn = 3 . 2.5 ^ 2 mn = 150 = 10 * 15 ( least possible ) answer = 5 * 10 + 15 = 65 answer : a" | 5 |
if 16 % of 40 % of a number is 6 , then the number is | [
"93.75",
"225",
"none of these",
"200"
] | A | explanation : let 16 / 100 × 40 / 100 × a = 6 a = 6 × 100 × 100 / 16 × 40 = 93.75 correct option : c | 5 |
a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 180 m long ? | [
"43.2 sec",
"none of these",
"38 sec",
"40 sec"
] | A | "speed = 45 km / hr = 45 ã — ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 180 = 540 meter time taken to cross the platform = 540 / ( 25 / 2 ) = 540 ã — 2 / 25 = 43.2 seconds answer : c" | 5 |
I went to the music shop and there were CDs of The Life Journey for $100, A Day a Life for $50, and When You Rescind for $85 on display. If I bought 3 of each CD to share with my friends, what's the total amount of money I spent in the shop? | [
"85.0",
"325.0",
"705.0",
"275.0"
] | C | The total cost of The Life Journey is 3 × $100 = $<<3*100=300>>300.
The total cost of When You Rescind is 3 × $85 = $<<3*85=255>>255.
The total cost of A Day a Life is 3 × $50 = $<<3*50=150>>150.
The total cost for all the CDs is $150 + $255 + $300 = $<<150+255+300=705>>705.
#### 705 | 3 |
a man buys a cycle for rs . 2000 and sells it at a loss of 10 % . what is the selling price of the cycle ? | [
"1420",
"1430",
"1800",
"1440"
] | C | "s . p . = 90 % of rs . 2000 = 90 / 100 x 2000 = rs . 1800 answer : a" | 5 |
a company produces 72000 bottles of water everyday . if a case can hold 9 bottles of water . how many cases are required by the company to hold its one day production | [
"8000",
"4500",
"9000",
"5000"
] | A | "number of bottles that can be held in a case = 9 . number of cases required to hold 72000 bottles = 72000 / 9 = 8000 cases . so the answer is d = 8000" | 5 |
As part of an experiment, an astronaut takes a scale to the Moon and weighs himself. The scale reads 31 pounds. If the astronaut has a mass of about 84 kilograms, which are the approximate weight and mass of the astronaut when standing on the Earth? | [
"31 pounds and 14 kilograms",
"31 pounds and 84 kilograms",
"186 pounds and 14 kilograms",
"186 pounds and 84 kilograms"
] | D | 0 | |
If Anna flips 8 coins, what is the probability that she gets more heads than tails? | [
"\\dfrac{7}{128}",
"\\dfrac{7}{16}",
"\\dfrac{93}{256}",
"\\frac{1}{256}"
] | C | We could solve this problem using casework, but using a little bit of symmetry and complementary probability gives us a more elegant solution. Since each coin flips heads and tails with equal probability, by the principle of symmetry the probability of getting more heads than tails is the equal to the probability of ge... | 4 |
what is the value of n if the sum of the consecutive odd integers from 1 to n equals 169 ? | [
"37",
"33",
"25",
"47"
] | C | # of terms = ( n - 1 / 2 ) + 1 { ( last term - first term ) / 2 + 1 | sum = ( 1 + n ) / 2 * # of terms = ( n + 1 ) ^ 2 / 4 = 169 n + 1 = 13 * 2 n + 1 = 26 n = 25 . answer : b | 5 |
Decomposers increase the fertility of the soil and prevent dead organisms from building up in the environment. In which way do decomposers make the soil more fertile? | [
"by adding carbon",
"by adding nitrogen",
"by removing excess water",
"by removing excess minerals"
] | B | 1 | |
over a period of three years, a farmer cultivates, corn, millet and potatoes. What is this exemplary of? | [
"An amateur farming practice",
"a way to gain attention",
"a manner of rotating",
"a way to confuse spectators"
] | C | crop rotation is when different crops are planted on a field in different years | 6 |
a student took 5 papers in an examination , where the full marks were the same for each paper . his marks in these papers were in the proportion of 5 : 6 : 7 : 8 : 9 . in all papers together , the candidate obtained 60 % of the total marks . then the number of papers in which he got more than 50 % marks is | [
"2",
"4",
"5",
"1"
] | C | here we can assume that one subject is of 100 marks so total there are 5 subjects = > 100 * 5 = 500 . now according to the question he secured 60 % of those which is 60 % of 500 = 300 marks in total . the ratio between the marks is given as 5 : 6 : 7 : 8 : 9 , so now we can distribute 300 marks according to the ratio .... | 5 |
Rich is reading a 372-page book. He has already read 125 pages of the book. If he skipped the 16 pages of maps, how many more pages does he have left to read to finish the book? | [
"4.0",
"2.0",
"231.0",
"314.0"
] | C | He has completed 125 pages + 16 pages = <<125+16=141>>141 pages of the book.
Rich has 372 pages - 141 pages = <<372-141=231>>231 pages left.
#### 231 | 3 |
All animals need to be what during cold conditions in order to survive? | [
"in space",
"warm enough",
"Freezing",
"lying down"
] | B | an animal requires warmth for survival | 6 |
find the principal which yields a simple interest of rs . 20 and compound interest of rs . 22 in two years , at the same percent rate per annum ? | [
"s . 420",
"s . 200",
"s . 480",
"s . 100"
] | D | explanation : si in 2 years = rs . 20 , si in 1 year = rs . 10 ci in 2 years = rs . 22 % rate per annum = [ ( ci – si ) / ( si in 1 year ) ] * 100 = [ ( 22 – 20 ) / 20 ] * 100 = 10 % p . a . let the principal be rs . x time = t = 2 years % rate = 10 % p . a . si = ( prt / 100 ) 20 = ( x * 10 * 2 ) / 100 x = rs . 100 an... | 5 |
Enzymes speed up the rate of a specific chemical reaction and is therefore known as what? | [
"protein catalysts",
"characteristic catalysts",
"biochemical catalysts",
"genetic catalysts"
] | C | Enzymes are biochemical catalysts, which means that they speed up the rate of a specific chemical reaction. A process that might take weeks in the absence of an enzyme can occur in milliseconds if the proper enzyme is present. A generic enzyme-catalyzed reaction could be represented as follows:. | 7 |
One way to see how a plant stem works could be | [
"eating the plant entirely",
"putting the stems in food colouring",
"throwing the plants away",
"pulling out the petals"
] | B | a plant stem contains a system of tubes for transporting water and nutrients to other parts of the plant | 6 |
in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 84 more candidates got selected than a . what was the number of candidates appeared from each state ? | [
"5000",
"4000",
"8400",
"6000"
] | C | "state a and state b had an equal number of candidates appeared . in state a , 6 % candidates got selected from the total appeared candidates in state b , 7 % candidates got selected from the total appeared candidates but in state b , 84 more candidates got selected than state a from these , it is clear that 1 % of the... | 5 |
Pat's stick is 30 inches long. He covers 7 inches of the stick in dirt. The portion that is not covered in dirt is half as long as Sarah’s stick. Jane’s stick is two feet shorter than Sarah’s stick. How many inches long is Jane’s stick? | [
"21.0",
"3.0",
"18.0",
"22.0"
] | D | 30-7 = <<30-7=23>>23 inches of Pat’s stick is not covered in dirt.
Sarah’s stick is 23*2 = <<23*2=46>>46 inches long.
Jane’s stick is 12*2 = <<12*2=24>>24 inches shorter than Sarah’s stick.
Jane’s stick is 46-24 = <<46-24=22>>22 inches long.
#### 22 | 3 |
three machines , each working at the same constant rate , together can complete a certain job in 18 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 9 days ? | [
"9",
"5",
"8",
"3"
] | D | "rate of one machine = 1 job / ( 18 * 3 ) days let x = number of machines needed to complete the job in 9 days 1 / ( 3 * 18 ) * 9 * x = 1 job x = 6 6 - 3 = 3 answer : a" | 5 |
giant walls of froze H2O carved out | [
"the great plains",
"the pacific ocean",
"the great lakes",
"the grand canyon"
] | C | the Great Lakes were formed by glaciers moving over the ground | 6 |
Solids that are combined together and maintain their physical properties are best labeled as a | [
"solute.",
"mixture.",
"solvent.",
"compound."
] | B | 1 | |
peter can cover a certain distance in 1 hr . 24 min . by covering two - third of the distance at 4 kmph and the rest at 5 kmph . find the total distance . | [
"4 km",
"7 km",
"8 km",
"6 km"
] | D | time = distance / speed let total distance travelled be x in 84 / 60 hrs 2 / 3 rd of x travelled in 4 km / hr 1 / 3 rd of distance travelled in 5 km / hr 2 x / ( 3 * 4 ) + x / ( 3 * 5 ) = 84 / 60 x = 6 km answer : c | 5 |
if a person walks at 15 km / hr instead of 9 km / hr , he would have walked 20 km more . the time traveled by him is ? | [
"6 hours",
"10 / 3 hours",
"9 / 5 hours",
"8 hours"
] | B | "let the actual distance traveled be x km . then , x / 9 = ( x + 20 ) / 15 5 x - 3 x = 60 = > x = 30 km . travel time is = 30 / 9 hours = 10 / 3 hours answer : c" | 5 |
a number is doubled and 9 is added . if resultant is trebled , it becomes 75 . what is that number | [
"14",
"15",
"8",
"12"
] | C | "explanation : = > 3 ( 2 x + 9 ) = 75 = > 2 x + 9 = 25 = > x = 8 answer : option a" | 5 |
sahil purchased a machine at rs 9000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it . | [
"rs . 22500",
"rs . 28500",
"rs . 24500",
"rs . 26500"
] | A | "explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 9000 + 5000 + 1000 = 15000 150 % of 15000 = 150 / 100 * 15000 = 22500 option a" | 5 |
diana took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 75 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? | [
"$ 79.50",
"$ 79.25",
"$ 80.25",
"$ 80.00"
] | C | 1.07 * $ 75 = $ 80.25 the answer is e . | 5 |
Scientists are experimenting to develop microbes that can live off surplus electricity and CO2 to produce | [
"organic products, such as methane, acetate and butanol as economic biofuels",
"less electricity and more CO2",
"solar energy and biofuels in the laboratory",
"fewer biofuels like butanol and less CO2"
] | A | photosynthesis means producers convert from carbon dioxide, water, and solar energy into food for themselves | 6 |
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