question
stringlengths 1
2.65k
| choices
listlengths 4
4
| answer
stringclasses 4
values | explanation
stringlengths 0
4.47k
| dataset
int64 0
7
|
|---|---|---|---|---|
Christine makes money by commission rate. She gets a 12% commission on all items she sells. This month, she sold $24000 worth of items. Sixty percent of all her earning will be allocated to her personal needs and the rest will be saved. How much did she save this month?
|
[
"4800.0",
"1152.0",
"4512.0",
"12.0"
] |
B
|
This month, Christine earned a commission of 12/100 x $24000 = $<<12/100*24000=2880>>2880.
She allocated 60/100 x $2880 = $<<60/100*2880=1728>>1728 on her personal needs.
Therefore, she saved $2880 - $1728 = $<<2880-1728=1152>>1152 this month.
#### 1152
| 3
|
What would you measure in a graduated cylinder?
|
[
"nitrogen",
"Perfume",
"Oxygen",
"helium"
] |
B
|
a graduated cylinder is a kind of instrument for measuring volume of liquids or objects
| 6
|
if n = 7 ^ 11 – 7 , what is the units digit of n ?
|
[
"0",
"4",
"1",
"6"
] |
D
|
always divide the power ( incase 11 ) by 4 and use the remainder as the new power . the question now becomes 7 ^ 3 - 7 . now 7 ^ 3 has last digit 3 . since 7 ^ 11 ( or for that matter 7 ^ 3 ) is greater than 7 , we subtract 7 from 13 ( the 10 + 3 - - > 10 has come from carry over from the tenth place ) . thus 13 - 7 = 6 is the answer . option d
| 5
|
Which of these will most likely increase a plant population in a habitat?
|
[
"strong winds",
"freezing temperatures",
"fewer days of sunshine",
"more days of rain showers"
] |
D
| 0
|
|
Tick the \emph{false} assertion concerning WEP
|
[
"In WEP, encryption is based on RC4.",
"In WEP, IVs repeat themselves too often.",
"In WEP, encryption is based on a block cipher.",
"WPA-TKIP was designed as a quick fix for WEP."
] |
C
| 2
|
|
Most thoracic vertebrae have two facets that articulate with the head of what structure?
|
[
"rib",
"pelvic",
"heart",
"calf"
] |
A
|
Thoracic Vertebrae The bodies of the thoracic vertebrae are larger than those of cervical vertebrae (Figure 7.26). The characteristic feature for a typical midthoracic vertebra is the spinous process, which is long and has a pronounced downward angle that causes it to overlap the next inferior vertebra. The superior articular processes of thoracic vertebrae face anteriorly and the inferior processes face posteriorly. These orientations are important determinants for the type and range of movements available to the thoracic region of the vertebral column. Thoracic vertebrae have several additional articulation sites, each of which is called a facet, where a rib is attached. Most thoracic vertebrae have two facets located on the lateral sides of the body, each of which is called a costal facet (costal = “rib”). These are for articulation with the head (end) of a rib. An additional facet is located on the transverse process for articulation with the tubercle of a rib.
| 7
|
What is the second stage of photosynthesis?
|
[
"pigment release",
"production of glucose",
"glucose destruction",
"production of protein"
] |
B
|
The second stage of photosynthesis is the production of glucose from carbon dioxide. This process occurs in a continuous cycle, named after its discover, Melvin Calvin. The Calvin cycle uses CO 2 and the energy temporarily stored in ATP and NADPH to make the sugar glucose.
| 7
|
Further transformation occurs during organogenesis, the formation of what?
|
[
"bones",
"muscles",
"arteries",
"organs"
] |
D
| 7
|
|
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 16 per cubic meter ?
|
[
"2799",
"1485",
"2998",
"1584"
] |
D
|
"22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 16 = 1584 answer : e"
| 5
|
What is the slope of the line $2y = -3x + 6$?
|
[
"-\\frac32",
"-5",
"-1",
"-3"
] |
A
|
Dividing both sides of the equation by 2 gives $y = -\frac{3}{2}x + 3$, which is in slope-intercept form. The coefficient of $x$ is the desired slope, $\boxed{-\frac32}$.
| 4
|
a boy wants to make cuboids of dimension 5 m , 6 m and 7 m from small cubes of . 03 m 3 . later he realized he can make same cuboids by making it hollow . then it takes some cubes less . what is the number of the cubes to be removed ?
|
[
"1000'",
"5000']",
"4000'",
"3000'"
] |
B
|
volume of the small cube = 0.03 m ^ 3 so side of this cube = cubic root of 0.03 m ^ 3 = . 312 m so after removing the outermost layer the dimensions for the inner cuboid will be ( 5 - 2 * 0.312 ) , ( 6 - 2 * 0.312 ) , ( 7 - 2 * 0.312 ) so total volume will be ( 4.376 ) * ( 5.376 ) * ( 6.376 ) = 150 m ^ 3 so no of cubes will be 150 / 0.03 = 5000 so we can remove 5000 inner cubes answer : e
| 5
|
sheela deposits rs . 2500 in bank savings account . if this is 25 % of her monthly income . what is her monthly income in ?
|
[
"25000",
"22235",
"10000",
"20000"
] |
C
|
explanation : 25 % of income = rs . 2500 100 % of income = 2500 x 100 / 25 = rs . 10000 answer : a
| 5
|
What type of light is composed of many rays having random polarization directions?
|
[
"polarized light",
"diffracted light",
"unpolarized light",
"reflected light"
] |
C
|
27.8 Polarization • Polarization is the attribute that wave oscillations have a definite direction relative to the direction of propagation of the wave. • EM waves are transverse waves that may be polarized. • The direction of polarization is defined to be the direction parallel to the electric field of the EM wave. • Unpolarized light is composed of many rays having random polarization directions. • Light can be polarized by passing it through a polarizing filter or other polarizing material. The intensity I of polarized light after passing through a polarizing filter is I = I 0 cos 2 θ, where I 0 is the original intensity and θ is the angle between the direction of polarization and the axis of the filter. • Polarization is also produced by reflection. • Brewster’s law states that reflected light will be completely polarized at the angle of reflection θ b , known as Brewster’s angle, given by a statement known as Brewster’s law: reflected light travel and.
| 7
|
Fertilizer runoff can create what type of zones in the ocean?
|
[
"hot zones",
"fresh zones",
"barren zones",
"dead zones"
] |
D
|
Fertilizer runoff can create dead zones in the ocean.
| 7
|
How many perfect squares less than 1000 have a ones digit of 2, 3 or 4?
|
[
"5",
"31",
"6",
"976"
] |
C
|
Checking the squares from $1^2$ to $10^2$, we see that no squares end in 2 or 3, while a square ends in 4 if its square root ends in 2 or 8. Since $31^2 < 1000 < 32^2$, we see that the squares less than 1000 ending in 4 are $2,8,12,18,22,28$. Thus the desired answer is $\boxed{6}$.
| 4
|
When a supercooled liquid boils, the temperature drops as the liquid is converted to what?
|
[
"atoms",
"carbon",
"vapor",
"solid"
] |
C
|
A superheated liquid exists temporarily as liquid with a temperature above the normal boiling point of the liquid. When a supercooled liquid boils, the temperature drops as the liquid is converted to vapor. Conversely, a supercooled liquid exists temporarily as a liquid with a temperature lower than the normal melting point of the solid. As shown below, when a supercooled liquid crystallizes, the temperature increases as the liquid is converted to a solid.
| 7
|
It changes from winter to spring because of a
|
[
"moon",
"cloud",
"star",
"sky"
] |
C
|
the Earth revolving around the Sun causes the seasons to change on its axis
| 6
|
10 years ago , the average age of a family of 4 members was 24 years . two children having been born ( with age diference of 2 years ) , the present average age of the family is the same . the present age of the youngest child is :
|
[
"1",
"4",
"5",
"3"
] |
D
|
"explanation : total age of 4 members , 10 years ago = ( 24 x 4 ) years = 96 years . total age of 4 members now = [ 96 + ( 10 x 4 ) ] years = 136 years . total age of 6 members now = ( 24 x 6 ) years = 144 years . sum of the ages of 2 children = ( 144 - 136 ) years = 8 years . let the age of the younger child be x years . then , age of the elder child = ( x + 2 ) years . so , x + ( x + 2 ) = 8 ⇔ x = 3 age of younger child = 3 years . answer : c"
| 5
|
What do extensive properties depend on the amount of?
|
[
"matter in a sample",
"independent variables",
"experimental controls",
"sample temperature"
] |
A
|
Normally, electric charge is transferred when electrons leave the outer orbits of the atoms of one body (leaving it positively charged) and move to the surface of another body (causing the new surface to gain a negative net charge). In a plasma all electrons are stripped from the atoms, leaving positively charged ions and free electrons.
| 7
|
the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 12 percent , what was the annual interest rate last year ?
|
[
"10 %",
"1 %",
"10.9 %",
"9.1 %"
] |
C
|
"12 = 1.1 * x x = 10.90 % answer e )"
| 5
|
find 40 % of 240
|
[
"74",
"110",
"96",
"94"
] |
C
|
"we know that r % of m is equal to r / 100 × m . so , we have 40 % of 240 40 / 100 × 240 = 96 answer : a"
| 5
|
What happens to evolution when equilibrium is reached within the genes of the population?
|
[
"it starts over",
"it accelerates",
"it goes backwards",
"it stops occurring"
] |
D
|
If balance, or equilibrium, is to be maintained, there must be no outside influences on the stones. Equilibrium can also be maintained within a population's genes; that means, no evolution can occur. But outside influences usually prevent equilibrium from staying established.
| 7
|
a train 180 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
|
[
"8",
"10",
"2",
"7"
] |
B
|
"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 180 * 3 / 55 = 10 sec . answer b"
| 5
|
if p and q are positive integers each greater than 1 , and 15 ( p + 1 ) = 29 ( q + 1 ) , what is the least possible value of p + q ?
|
[
"42",
"36",
"46",
"44"
] |
A
|
17 ( p + 1 ) = 29 ( q + 1 ) - - > ( p + 1 ) / ( q + 1 ) = 29 / 17 - - > the least positive value of p + 1 is 29 , so the least value of p is 28 and the least positive value of q + 1 is 15 , so the least value of q is 14 - - > the least value of p + q is 28 + 14 = 42 . answer : b .
| 5
|
excluding stoppages , the speed of a bus is 90 km / hr and including stoppages , it is 84 km / hr . for how many minutes does the bus stop per hour ?
|
[
"4 min",
"6 min",
"18 min",
"8 min"
] |
A
|
"due to stoppages , it covers 6 km less . time taken to cover 6 km = 6 / 90 * 60 = 4 min . answer : b"
| 5
|
if a / x = 1 / 3 and a / y = 1 / 4 , then ( x + y ) =
|
[
"6 a",
"7 a",
"9 a",
"a / 2"
] |
B
|
ratio 1 : 3 a = x ratio 2 : 4 a = y x + y = 7 a answer is d
| 5
|
a batsman scored 60 runs which included 2 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets .
|
[
"60 %",
"40 %",
"33.33 %",
"50 %"
] |
C
|
"explanation : number of runs made by running = 60 - ( 2 x 4 + 2 x 6 ) = 60 - ( 20 ) = 20 now , we need to calculate 20 is what percent of 60 . = > 20 / 60 * 100 = 33.33 % option b"
| 5
|
a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is
|
[
"3.696 kg",
"9.696 kg",
"3.496 kg",
"3.690 kg"
] |
A
|
explanation : external radius = 4 cm , internal radius = 3 cm . volume of iron = = weight of iron = ( 462 x 8 ) gm = 3696 gm = 3.696 kg answer : b ) 3.696 kg
| 5
|
The viscosity of a liquid is a measure of what?
|
[
"ability to absorb flow",
"resistance to change form",
"resistance to flow",
"adaptability to surroundings"
] |
C
|
When you pour a glass of water, or fill a car with gasoline, you observe that water and gasoline flow freely. But when you pour syrup on pancakes or add oil to a car engine, you note that syrup and motor oil do not flow as readily. The viscosity of a liquid is a measure of its resistance to flow. Water, gasoline, and other liquids that flow freely have a low viscosity. Honey, syrup, motor oil, and other liquids that do not flow freely, like those shown in Figure 10.15, have higher viscosities. We can measure viscosity by measuring the rate at which a metal ball falls through a liquid (the ball falls more slowly through a more viscous liquid) or by measuring the rate at which a liquid flows through a narrow tube (more viscous liquids flow more slowly).
| 7
|
what is the sum of all even numbers from 1 to 801 ?
|
[
"122850",
"160400",
"128111",
"281228"
] |
B
|
"explanation : 800 / 2 = 400 400 * 401 = 160400 answer : a"
| 5
|
the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % .
|
[
"37.5 %",
"27.5 %",
"none",
"38.5 %"
] |
A
|
"sol . let marked price = rs . 100 . then , c . p . = rs . 64 . s . p = rs . 88 . ∴ gain % = [ 24 / 64 * 100 ] % = 37.5 % . answer a"
| 5
|
what is the value of 3 x ^ 2 − 2.4 x + 0.3 for x = 0.6 ?
|
[
"− 0.3",
"2.46",
"1.08",
"0.06"
] |
D
|
"3 x ^ 2 - 2.4 x + 0.3 for x = 0.6 = 3 ( 0.6 * 0.6 ) - 4 * 0.6 * ( 0.6 ) + 0.3 = - 0.6 * 0.6 + 0.3 = 0.06 correct option : c"
| 5
|
5358 x 54 = ?
|
[
"289332",
"272358",
"274358",
"274258"
] |
A
|
"5358 x 51 = 5358 x ( 50 + 4 ) = 5358 x 50 + 5358 x 4 = 267900 + 21432 = 289332 . c )"
| 5
|
What type of tissue makes up much of the inside of a plant?
|
[
"working tissue",
"stem tissue",
"ground tissue",
"leaf tissue"
] |
C
|
Ground tissue makes up much of the inside of a plant. The cells of ground tissue carry out basic metabolic functions and other biochemical reactions. Ground tissue may also store food or water.
| 7
|
bottle r contains 250 capsules and costs $ 8.25 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ?
|
[
"$ 0.01",
"$ 0.002",
"$ 0.25",
"$ 0.03"
] |
A
|
"cost per capsule in r is 8.25 / 250 = 0.825 / 25 = 0.033 cost per capsule in t is 2.99 / 130 = 0.023 the difference is 0.01 the answer is b"
| 5
|
In the diagram, $AB$ is parallel to $DC,$ and $ACE$ is a straight line. What is the value of $x?$ [asy]
draw((0,0)--(-.5,5)--(8,5)--(6.5,0)--cycle);
draw((-.5,5)--(8.5,-10/7));
label("$A$",(-.5,5),W);
label("$B$",(8,5),E);
label("$C$",(6.5,0),S);
label("$D$",(0,0),SW);
label("$E$",(8.5,-10/7),S);
draw((2,0)--(3,0),Arrow);
draw((3,0)--(4,0),Arrow);
draw((2,5)--(3,5),Arrow);
label("$x^\circ$",(0.1,4));
draw((3,5)--(4,5),Arrow);
label("$115^\circ$",(0,0),NE);
label("$75^\circ$",(8,5),SW);
label("$105^\circ$",(6.5,0),E);
[/asy]
|
[
"0.1",
"180",
"\\frac{210}{3}",
"35"
] |
D
|
Since $\angle ACE$ is a straight angle, $$\angle ACB=180^{\circ}-105^{\circ}=75^{\circ}.$$In $\triangle ABC,$ \begin{align*}
\angle BAC &= 180^{\circ}-\angle ABC - \angle ACB \\
&= 180^{\circ}-75^{\circ}-75^{\circ} \\
&= 30^{\circ}.
\end{align*}Since $AB$ is parallel to $DC,$ we have $$\angle ACD = \angle BAC = 30^{\circ}$$due to alternate angles. In $\triangle ADC,$ \begin{align*}
\angle DAC &= 180^{\circ}-\angle ADC - \angle ACD \\
&= 180^{\circ}-115^{\circ}-30^{\circ} \\
&= 35^{\circ}.
\end{align*}Thus, the value of $x$ is $\boxed{35}.$ [asy]
draw((0,0)--(-.5,5)--(8,5)--(6.5,0)--cycle);
draw((-.5,5)--(8.5,-10/7));
label("$A$",(-.5,5),W);
label("$B$",(8,5),E);
label("$C$",(6.5,0),S);
label("$D$",(0,0),SW);
label("$E$",(8.5,-10/7),S);
draw((2,0)--(3,0),Arrow);
draw((3,0)--(4,0),Arrow);
draw((2,5)--(3,5),Arrow);
label("$x^\circ$",(0.1,4));
draw((3,5)--(4,5),Arrow);
label("$115^\circ$",(0,0),NE);
label("$75^\circ$",(8,5),SW);
label("$105^\circ$",(6.5,0),E);
[/asy]
| 4
|
what is the area of a square field whose sides have a length of 14 meters ?
|
[
"298 sq m",
"231 sq m",
"196 sq m",
"286 sq m"
] |
C
|
"14 * 14 = 196 sq m the answer is a ."
| 5
|
Mona plays a multiplayer video game on the weekends. She joins groups with four other players to complete objectives in the game. The past weekend, she joined 9 groups. One of the groups included two players she had grouped with before that weekend, and another group included one person she had grouped with before. How many unique players did Mona group with on the video game that weekend?
|
[
"9.0",
"3.0",
"33.0",
"2.0"
] |
C
|
Mona joined 9 groups, so she played with 9 * 4 = <<9*4=36>>36 people.
She grouped with 2 + 1 = <<2+1=3>>3 people twice.
Thus, she played with 36 - 3 = <<36-3=33>>33 unique players that weekend.
#### 33
| 3
|
The thin scale-like or flat shape of what cells fits their primary function, to provide a smooth and protective surface?
|
[
"simple epithelium",
"basic epithelium",
"technique epithelium",
"kind epithelium"
] |
A
|
Simple Epithelium The shape of the cells in the single cell layer of simple epithelium reflects the functioning of those cells. The cells in simple squamous epithelium have the appearance of thin scales. Squamous cell nuclei tend to be flat, horizontal, and elliptical, mirroring the form of the cell. The endothelium is the epithelial tissue that lines vessels of the lymphatic and cardiovascular system, and it is made up of a single layer of squamous cells. Simple squamous epithelium, because of the thinness of the cell, is present where rapid passage of chemical compounds is observed. The alveoli of lungs where gases diffuse, segments of kidney tubules, and the lining of capillaries are also made of simple squamous epithelial tissue. The mesothelium is a simple squamous epithelium that forms the surface layer of the serous membrane that lines body cavities and internal organs. Its primary function is to provide a smooth and protective surface. Mesothelial cells are squamous epithelial cells that secrete a fluid that lubricates the mesothelium. In simple cuboidal epithelium, the nucleus of the box-like cells appears round and is generally located near the center of the cell. These epithelia are active in the secretion and absorptions of molecules. Simple cuboidal epithelia are observed in the lining of the kidney tubules and in the ducts of glands.
| 7
|
harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?
|
[
"c ) 1065",
"e ) 1080",
"a ) 1000",
"b ) 1010"
] |
D
|
"cost of 8 kg grapes = 70 × 8 = 560 . cost of 9 kg of mangoes = 50 × 9 = 450 . total cost he has to pay = 560 + 450 = 1010 . b )"
| 5
|
Luna writes down all the five-digit numbers that contain each of the digits 1, 2, 3, 4 and 5 exactly once. What is the smallest number in Luna's list that is divisible by 6?
|
[
"102",
"2534",
"12354",
"153\\,984"
] |
C
|
A number is divisible by 6 if and only if it is divisible by both 2 and 3.
A number is divisible by 2 if and only if its last digit is even. A number is divisible by 3 if and only if the sum of its digits is divisible by 3. The sum of the digits in each of Luna's numbers is $1 + 2 + 3 + 4 + 5 = 15$, which is divisible by 3, so each of Luna's numbers is divisible by 3.
The smallest number in Luna's list is 12345, which is not divisible by 2. The next smallest number in Luna's list is 12354, which is divisible by 2, so the answer is $\boxed{12354}$.
| 4
|
Daughter cells divide by what?
|
[
"nucleus",
"mitosis",
"meiosis",
"electrolysis"
] |
C
|
The daughter cells then start to divide by meiosis . But they only go through the first of the two cell divisions of meiosis at that time. They go through the second stage of cell division after the female goes through puberty.
| 7
|
In general, kinetic energy is the form of energy powering any type of matter in motion, while the energy of position is called what?
|
[
"thermal energy",
"mechanical energy",
"magnetic energy",
"potential energy"
] |
D
|
The Role of Energy in Chemical Reactions Chemical reactions require a sufficient amount of energy to cause the matter to collide with enough precision and force that old chemical bonds can be broken and new ones formed. In general, kinetic energy is the form of energy powering any type of matter in motion. Imagine you are building a brick wall. The energy it takes to lift and place one brick atop another is kinetic energy—the energy matter possesses because of its motion. Once the wall is in place, it stores potential energy. Potential energy is the energy of position, or the energy matter possesses because of the positioning or structure of its components. If the brick wall collapses, the stored potential energy is released as kinetic energy as the bricks fall. In the human body, potential energy is stored in the bonds between atoms and molecules. Chemical energy is the form of potential energy in which energy is stored in chemical bonds. When those bonds are formed, chemical energy is invested, and when they break, chemical energy is released. Notice that chemical energy, like all energy, is neither created nor destroyed; rather, it is converted from one form to another. When you eat an energy bar before heading out the door for a hike, the honey, nuts, and other foods the bar contains are broken down and rearranged by your body into molecules that your muscle cells convert to kinetic energy. Chemical reactions that release more energy than they absorb are characterized as exergonic. The catabolism of the foods in your energy bar is an example. Some of the chemical energy stored in the bar is absorbed into molecules your body uses.
| 7
|
What type of seed-bearing structure of a flowering plant usually develop into?
|
[
"fruit",
"Stem",
"food",
"Apple"
] |
A
|
Development of Fruit and Fruit Types After fertilization, the ovary of the flower usually develops into the fruit. Fruits are usually associated with having a sweet taste; however, not all fruits are sweet. Botanically, the term “fruit” is used for a ripened ovary. In most cases, flowers in which fertilization has taken place will develop into fruits, and flowers in which fertilization has not taken place will not. Some fruits develop from the ovary and are known as true fruits, whereas others develop from other parts of the female gametophyte and are known as accessory fruits. The fruit encloses the seeds and the developing embryo, thereby providing it with protection. Fruits are of many types, depending on their origin and texture. The sweet tissue of the blackberry, the red flesh of the tomato, the shell of the peanut, and the hull of corn (the tough, thin part that gets stuck in your teeth when you eat popcorn) are all fruits. As the fruit matures, the seeds also mature.
| 7
|
a searchlight on top of the watchtower makes 2 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds ?
|
[
"11 / 15",
"5 / 6",
"5 / 12",
"11 / 12"
] |
B
|
"the searchlight completes one revolution every 30 seconds . the probability that the man ' s area will be lit up is 5 / 30 = 1 / 6 . the probability that he will stay in the dark is 1 - 1 / 6 = 5 / 6 the answer is a ."
| 5
|
What are the source of fruit?
|
[
"wood",
"plant diagrams",
"green life",
"housing"
] |
C
|
plants are the source of fruit
| 6
|
What is the process of producing eggs in the ovary is called?
|
[
"morphogenesis",
"meiosis",
"oogenesis",
"gametogenesis"
] |
C
|
The process of producing eggs in the ovary is called oogenesis. Eggs, like sperm, are haploid cells, and their production occurs in several steps that involve different types of cells, as shown in Figure below . You can follow the process of oogenesis in the figure as you read about it below.
| 7
|
the arithmetic mean and standard deviation of a certain normal distribution are 16.2 and 2.3 , respectively . what value is exactly 2 standard deviations less than the mean ?
|
[
"12.5",
"11.6",
"11",
"12"
] |
B
|
"mean = 16.2 two standard deviations is 2.3 + 2.3 = 4.6 there could be two calues for this . mean + two standard deviations = 20.8 mean - two standard deviations = 11.6 answer choice has 11.6 and so c is the answer ."
| 5
|
The regions of a material where the north and south poles of atoms are aligned are called what?
|
[
"magnetic rays",
"magnetic domains",
"observed domains",
"cores"
] |
B
|
In other materials, there are regions where the north and south poles of atoms are all lined up in the same direction. These regions are called magnetic domains . Generally, the magnetic domains point in different directions, so the material is still not magnetic. However, the material can be magnetized (made into a magnet) by placing it in a magnetic field. When this happens, all the magnetic domains line up, and the material becomes a magnet. You can see this in the Figure below . Materials that can be magnitized are called ferromagnetic materials . They include iron, cobalt, and nickel.
| 7
|
what would be the minimum number of pumps required to fill a tank of 1000 m 3 to 85 % in one hour ? the capacity of the pump is 150 m 3 / hour and operates at an efficiency of 75 % .
|
[
"6",
"11",
"8",
"10"
] |
C
|
volume handled by pump in one hour = 150 x . 75 = 112.5 volume of the tank that needs to be filled = 1000 x . 85 = 850 number of pumps needed = 850 / 112.5 = 7.55 â ‰ ˆ 8 answer : b
| 5
|
let n be the greatest number that will divide 1305 , 4665 and 6905 , leaving the same remainder in each case . then sum of the digits in n is :
|
[
"8",
"4",
"10",
"6"
] |
B
|
"explanation : n = h . c . f . of ( 4665 - 1305 ) , ( 6905 - 4665 ) and ( 6905 - 1305 ) = h . c . f . of 3360 , 2240 and 5600 = 1120 . sum of digits in n = ( 1 + 1 + 2 + 0 ) = 4 answer is a"
| 5
|
Water will always make it's way to the
|
[
"the earth's core",
"moon",
"desert",
"ocean"
] |
D
|
water flows down a slope
| 6
|
how many of the integers between 25 and 45 are even ?
|
[
"9",
"10",
"21",
"11"
] |
B
|
number start between 25 to 45 is 20 numbers half of them is even . . which is 10 answer : d
| 5
|
What is the energy needed to start a reaction between catalysts and reactants called?
|
[
"decomposition energy",
"reaction energy",
"activation energy",
"conductivity energy"
] |
C
|
Catalysts interact with reactants so the reaction can occur by an alternate pathway that has a lower activation energy. Activation energy is the energy needed to start a reaction. When activation energy is lower, more reactant particles have enough energy to react so the reaction goes faster. Many catalysts work like the one in the Figure below . (You can see an animated version at the following URL. ) The catalyst brings the reactants together by temporarily bonding with them. This makes it easier and quicker for the reactants to react together. Notice how the catalyst is released by the product molecule at the end of the reaction.
| 7
|
exactly 36 % of the numbers in set a are even multiples of 3 . if 40 % of the even integers in set a are not multiples of 3 , what percent of the numbers in set a are not even integers ?
|
[
"50 %",
"24 %",
"40 %",
"76 %"
] |
C
|
everything is correct except the red part with a typo : it should be n = 0.6 a - - > even numbers are 60 % of a - - > 40 % of a are not even integers . answer : d .
| 5
|
the ratio of buses to cars on river road is 1 to 10 . if there are 90 fewer buses than cars on river road , how many cars are on river road ?
|
[
"100",
"20",
"40",
"30"
] |
A
|
"b / c = 1 / 10 c - b = 90 . . . . . . . . . > b = c - 90 ( c - 90 ) / c = 1 / 10 testing answers . clearly eliminate abde put c = 100 . . . . . . . . . > ( 100 - 90 ) / 100 = 10 / 100 = 1 / 10 answer : c"
| 5
|
What system of the body can specifically protect you from pathogens and other things that might make you ill?
|
[
"digestion",
"muscle",
"cardiovascular",
"immune"
] |
D
|
The immune system usually protects you from pathogens and other causes of disease. When the immune system is working properly, it keeps you from getting sick. But the immune system is like any other system of the body. It can break down or develop diseases.
| 7
|
the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % then determine the value of x .
|
[
"14",
"15",
"17",
"16"
] |
D
|
"explanation : let the cost price 1 article = re 1 cost price of x articles = x s . p of x articles = 20 gain = 20 - x = > 25 = ( 20 − x / x ∗ 100 ) = > 2000 − 100 x = 25 x = > x = 16 option c"
| 5
|
the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 13000 , then find the annual income of a ?
|
[
"rs . 180000",
"rs . 504000",
"none of these",
"rs . 436800"
] |
D
|
"b ' s monthly income = 13000 * 112 / 100 = rs . 14560 b ' s monthly income = 2 parts - - - - > rs . 14560 a ' s monthly income = 5 parts = 5 / 2 * 14560 = rs . 36400 a ' s annual income = rs . 36400 * 12 = rs . 436800 answer : c"
| 5
|
To be environmentally friendly
|
[
"use your feet to pedal somewhere",
"hop in a sedan",
"put the pedal to the metal in a truck",
"ride a motorcycle around town"
] |
A
|
riding a bike does not cause pollution
| 6
|
on the number line , the number p is twice as many units from - 2 as - 2 is from 7 . if p is less than – 2 , what is the value of p ?
|
[
"10",
"– 20",
"– 10",
"– 6"
] |
B
|
"distance between - 2 and 7 = 9 since number p is twice as many units from - 2 as - 2 is from 7 , therefore p can be - 20 since , p is less than - 2 , the value of p = - 20 answer a"
| 5
|
a shopkeeper sold an article at $ 1200 and gained a 20 % profit . what was the cost price ?
|
[
"$ 1080",
"$ 1000",
"$ 1060",
"$ 1040"
] |
B
|
"let x be the cost price . 1.2 x = 1200 x = 1200 / 1.2 = 1000 the answer is a ."
| 5
|
a thief is spotted by a policeman from a distance of 225 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?
|
[
"900 m",
"200 m",
"350 m",
"none of them"
] |
A
|
"relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 225 m / 1000 ) x 1 / 2 hr = 9 / 80 hr . in 9 / 80 hrs , the thief covers a distance of 8 x 9 / 80 km = 9 / 10 km = 900 m answer is d ."
| 5
|
a sum fetched a total simple interest of rs . 4016.25 at the rate of 8 % p . a . in 5 years . what is the sum ?
|
[
"rs . 10030.625",
"rs . 10040.62",
"rs . 12040.62",
"rs . 20040.625"
] |
B
|
"principal = ( 100 * 4016.25 ) / ( 8 * 5 ) = rs . 10040.625 . answer : b"
| 5
|
what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 84 ?
|
[
"6557",
"5307",
"6297",
"5647"
] |
C
|
"when increased by 3 , the number must include at least 2 ^ 2 * 3 ^ 2 * 5 ^ 2 * 7 = 6300 the answer is d ."
| 5
|
If pollination occurs, what does the zygote develop into?
|
[
"an ovum",
"an embryo",
"a sperm",
"an egg"
] |
B
|
Pollination occurs when pollen is transferred from a male to female cone. If sperm then travel from the pollen to an egg so fertilization can occur, a diploid zygote results. The zygote develops into an embryo within a seed, which forms from the ovule inside the female cone. If the seed germinates, it may grow into a mature sporophyte tree, which repeats the cycle.
| 7
|
Sansa is a famous artist, she can draw a portrait and sell it according to its size. She sells an 8-inch portrait for $5, and a 16-inch portrait for twice the price of the 8-inch portrait. If she sells three 8-inch portraits and five 16-inch portraits per day, how many does she earns every 3 days?
|
[
"300.0",
"195.0",
"35.0",
"180.0"
] |
B
|
Sansa earns $5 x 3 = $<<5*3=15>>15 every day by selling three 8-inch portraits.
The price of the 16-inch portrait is $5 x 2 = $<<5*2=10>>10 each.
So, she earns $10 x 5 = $<<10*5=50>>50 every day by selling five 16-inch portraits.
Her total earnings is $50 + $15 = $<<50+15=65>>65 every day.
Therefore, the total amount she earns after 3 days is $65 x 3 = $<<65*3=195>>195.
#### 195
| 3
|
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 20 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?
|
[
"120 %",
"124.2 %",
"160 %",
"105 %"
] |
C
|
"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,2 = 15 / 100 x = 80 * 20 / 100 x = 16 16 / 10 = 1,6 = 160 % , answer e"
| 5
|
Cynthia harvested 67 potatoes from her garden. After washing them, she cut 13 of them into wedges. She then halved the remaining potatoes and made french fries with one half, and potato chips with the other half. If one potato can be cut into 8 wedges or make 20 potato chips, how many more potato chips than wedges did Cynthia make?
|
[
"45.0",
"11.0",
"92.0",
"436.0"
] |
D
|
Cynthia was left with 67 -13 = <<67-13=54>>54 potatoes after making wedges.
She used 54/2 = <<54/2=27>>27 potatoes to make potato chips.
Cynthia made 13 x 8 = <<13*8=104>>104 wedges.
She made 27 x 20 = <<27*20=540>>540 potato chips.
Cynthia made 540 - 104 = <<540-104=436>>436 more potato chips than wedges.
#### 436
| 3
|
A baseball team has averaged 15 hits per game over their first 5 games. There are 11 players on the team. Their best player has 25 total hits. If the other players continue their average over the next 6 games, how many hits will each player average across the 6 games in total?
|
[
"4.09",
"44.0",
"0.17",
"6.0"
] |
D
|
The best player averages 5 hits a game because 25 / 5 = <<25/5=5>>5
The rest of the team averages 10 hits a game because 15 - 5 = <<15-5=10>>10
The rest of the players average 1 hit a game because 10 / 10 = <<10/10=1>>1
They will average 6 hits per player over the next 6 games because 6 x 1 = <<6*1=6>>6
#### 6
| 3
|
in a division , a student took 48 as divisor instead of 36 . his answer was 24 . the correct answer is -
|
[
"42",
"48",
"28",
"32"
] |
D
|
"x / 48 = 24 . x = 24 * 48 . so correct answer would be , ( 24 * 48 ) / 36 = 32 . answer : b"
| 5
|
two cubes have their volumes in the ratio 1 : 27 . find the ratio of their surface areas .
|
[
"3 : 9'",
"1 : 9'",
"none of them']",
"5 : 9'"
] |
B
|
let their edges be a and b . then , = a ^ 3 / b ^ 3 = 1 / 27 ( or ) ( a / b ) ^ 3 = ( 1 / 3 ) 3 ( or ) ( a / b ) = ( 1 / 3 ) . therefore , ratio of their surface area = 6 a ^ 2 / 6 b ^ 2 = a ^ 2 / b ^ 2 = ( a / b ) ^ 2 = 1 / 9 , i . e . 1 : 9 . answer is a .
| 5
|
at veridux corporation , there are 180 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ?
|
[
"85",
"95",
"75",
"20"
] |
A
|
"well , first let â € ™ s take care of the â € œ totals â € . the numbers in the â € œ totals â € row must add up . if 90 are females , the other 180 â € “ 90 = 90 must be males . similarly , the numbers in the â € œ totals â € column must add up . if 40 are managers , then the other 180 â € “ 40 = 140 must be associates . now , in the â € œ associate â € row , 135 + e = 140 , which means e = 5 â € ” the other 5 associates must be female . now , to find b , which is what the question is asking , we need only look at the sum in the â € œ female â € column : b + 5 = 90 , which means b = 85 . there are fifteen female managers in this company . thus , the answer = ( c ) ."
| 5
|
while driving from a - ville to b - town , harriet drove at a constant speed of 110 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 140 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?
|
[
"148",
"150",
"138",
"168"
] |
D
|
"5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . e . t = 168 min * leg a - b - - - > d = 110.168 / 60 = 18480 / 60 * leg b - a - - - - > d = 140 * 132 / 60 = 18480 / 60 so the correct ans . ise"
| 5
|
if the area of the equilateral triangle above is 0.75 , what is the area of the adjacent square ?
|
[
"2 √ 3']",
"3'",
"√ 6'",
"√ 3'"
] |
D
|
area of equilateral triangle : a ^ 2 * ( square root of 3 ) / 4 = 0.75 hence , area of square = a ^ 2 = 0.75 * 4 / ( square root of 3 ) = 3 / ( square root of 3 ) = square root of 3 answer : b
| 5
|
220 % of a number x is 44 . what is 44 % of x .
|
[
"6.6",
"8.8",
"none",
"8.9"
] |
B
|
solution : given , 220 % of x = 44 or , x = 20 . thus , 44 % of 20 = ( 44 * 20 ) / 100 = 8.8 answer : option a
| 5
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.