id
string
question
string
choices
list
answer_key
string
source
string
0fce38bb-5cf7-44e5-a09c-fa1e9bc59369
What term describes reproducing by external fertilization after the female sheds large numbers of small eggs?
[ "glaucous", "glandular", "homozygous", "oviparous" ]
oviparous
sciq
7865f69a-bc8f-4d30-8c26-5c9ded208552
Solid carbon dioxide is called what?
[ "liquid nitrogen", "blue ice", "carbohydrate", "dry ice" ]
dry ice
sciq
95406204-b0c7-45a8-a6d9-0ac9a0a6122d
While ecosystems need a constant input of energy for their organisms, what do ecosystems recycle?
[ "matter", "food", "water", "light" ]
matter
sciq
7e4d2b35-0d58-4de6-be67-52c8777b0852
Most mercury compounds decompose when they are?
[ "heated", "mixed", "filled", "cooled" ]
heated
sciq
30f8a9f8-add3-418f-8b46-485957c737b4
Animal behavior can be said to be controlled by genetics and experiences, also known as nature and what?
[ "growth", "nurture", "evolution", "interaction" ]
nurture
sciq
7309fbf1-91ee-450e-8560-46f286368688
The first two electrons in lithium fill the 1s orbital and have the same sets of four what as the two electrons in helium?
[ "kinetic numbers", "gravity numbers", "decay numbers", "quantum numbers" ]
quantum numbers
sciq
1a307567-26b3-4ebe-b8ed-28e85d057355
What allows some things to enter the cell while keeping other things out?
[ "cell membrane", "cell vacuum", "cell substrate", "cell center" ]
cell membrane
sciq
fc34248a-5f7c-404a-b3e5-272b36e502a1
What is the term for something changing from water to ice?
[ "boiling", "freezing", "evaporation", "melting" ]
freezing
sciq
938523ac-290f-4e63-a25f-aad096bb21b4
What is an individual with more than the correct number of chromosome sets called?
[ "autotrophs", "diploid", "autosome", "polyploid" ]
polyploid
sciq
ecb936e0-1b53-4542-abca-d7f80ec853f4
Most of the fresh water on earth is tied up in a solid form. what are they called?
[ "lakes", "oceans", "glaciers", "sediments" ]
glaciers
sciq
a0671b8a-2239-4678-a473-ef668b995dec
What takes place where septa is found?
[ "forming of reproductive cells", "forming of brain cells", "forming of muscle tissue", "forming of stem cells" ]
forming of reproductive cells
sciq
471d97d9-0b7b-46e1-9b56-b5fb6068ec52
Hertz proved that what type of waves travel at the speed of light?
[ "seismic", "tsunamis", "electromagnetic", "sound" ]
electromagnetic
sciq
ed0d0cde-5a7e-4ba9-92d0-918e482b2711
Specific antigens on the surface of red blood cells determine what, which is important in cases of transfusion?
[ "blood type", "blood count", "blood form", "blood amount" ]
blood type
sciq
85b3a207-ae85-490b-a09b-365401b20682
Where do extrusive igneous rocks cool at?
[ "surface", "in volcanoes", "underground", "in water" ]
surface
sciq
df99055b-1c14-485f-9260-ab808637f0a7
What is citrate an ionized form of?
[ "carbonic acid", "citric acid", "protein", "hydrochloric acid" ]
citric acid
sciq
23cee212-07a9-497c-a2c2-29742aeba78b
What functions in removing phosphorylated amino acids from proteins?
[ "sucrose", "phosphatase", "peptide", "carbonate" ]
phosphatase
sciq
1e5eecc8-f06b-4e6d-a269-539923f69212
The hypothalamus in vertebrates integrates what two systems?
[ "endocrine and nervous", "marrow and nervous", "connectors and nervous", "Pathway and nervous" ]
endocrine and nervous
sciq
43d18ef4-6b17-4fcf-b757-25d150e78164
What type of biomes have water containing little or no salt?
[ "marine biomes", "aquatic biomes", "freshwater biomes", "coastal biomes" ]
freshwater biomes
sciq
b8bd1fbf-3e8f-478d-8e52-652917f51012
Electricity consists of a constant stream of what tiny particles?
[ "atoms", "ions", "electrons", "quarks" ]
electrons
sciq
5896b164-8a80-4321-b75b-b6d3232d244f
What is a solution with a ph lower than 7 called?
[ "acid", "basic", "neutral", "dioxide" ]
acid
sciq
d01ebfb9-0bc1-4cc2-9b31-25c53b329401
Which division of the peripheral nervous system interprets signals, while the motor division sends signals?
[ "automatic", "kinetic", "olfactory", "sensory" ]
sensory
sciq
123f4119-5264-446b-a170-6112b675e9c4
What record provides evidence that new species develop to fill the habitats where old species lived following a mass extinction?
[ "erosion record", "fossil record", "climate record", "fossil fuels" ]
fossil record
sciq
9f3e3d28-946a-49c0-8e54-d332f584f95f
What is the process of filtering waste from the kidneys?
[ "dialysis", "stones", "inflammation", "virus" ]
dialysis
sciq
d358eb7e-17de-483d-93a0-43df706e77ae
The energy required to remove an electron from a gaseous atom is called?
[ "ionization energy", "potential energy", "vapor energy", "fission energy" ]
ionization energy
sciq
428efc58-c61a-4bb4-b273-04e708f6b07b
The four basic types of tissue are epithelial, muscle, connective, and what?
[ "nervous", "circulatory", "digestive", "regulatory" ]
nervous
sciq
308cd34c-bb63-4aaf-b7c5-d0e0211724f7
What theory states that all matter consists of constantly moving particles?
[ "inertia theory", "conservtion of matter", "Big Bang theory", "kinetic theory of matter" ]
kinetic theory of matter
sciq
9d7b3b2c-501e-4e1f-a0da-3acb24e5a66a
Carnivores that eat herbivores are what kind of consumers?
[ "tertiary", "quaternary", "primary", "secondary" ]
secondary
sciq
efdd80d3-a9da-4688-8b17-b3a8a4e618a3
Plant-like protists contains chloroplasts and make food by what process?
[ "chemical processes", "photosynthesis", "digestion", "farming" ]
photosynthesis
sciq
693f0107-b45f-4a8a-b3cb-38dfad01de0f
What is written as systolic over diastolic?
[ "fractional pressure", "blood position", "brain pressure", "blood pressure" ]
blood pressure
sciq
1467ae87-3f9e-48e3-a929-196fa1783e93
When a species changes in small ways over time, what is it called?
[ "microevolution", "nanoevolution", "minievolution", "small evolution" ]
microevolution
sciq
e4b59c3d-76c0-4699-b35c-86739e7fa295
What is the purpose of a bird using flashy displays?
[ "to attract mates", "to protect their territory", "to dissuade predators", "to signal feeding" ]
to attract mates
sciq
081c6db4-49e3-4c52-a31a-56e182026dcb
What do you call the ancient cores of continents, where the earliest continental crust is now found?
[ "mantles", "craters", "cratons", "escarpments" ]
cratons
sciq
8dea5306-3a1e-4e58-9752-b6afbf7c6a28
In the case of the moose, predation is an additional factor that regulates what?
[ "color", "population", "speed", "weight" ]
population
sciq
49fc6aa3-de98-46bc-a570-fe4c26b5065f
Where do short period comets come from?
[ "milky way", "photon belt", "kuiper belt", "vesta belt" ]
kuiper belt
sciq
73285f07-2643-4c0d-a92c-304c0f9ac409
Only after implantation can an embryo develop into a what?
[ "fetus", "mammal", "living thing", "humans" ]
fetus
sciq
bcf2d8a2-a83b-445c-b643-48e1f33ec4b4
What are atoms with unstable nuclei are considered to be?
[ "unstable", "ions", "radioactive", "destructive" ]
radioactive
sciq
16da3339-049b-45a7-a472-e7746ebd22a8
In what form is atmospheric sulfur found?
[ "sulfur dioxide (so2)", "sulfuric acid", "formaldehyde", "sulfur monoxide" ]
sulfur dioxide (so2)
sciq
1930995a-5458-4385-8292-d573408a67f9
a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is ...
[ "a ) 8", "b ) 16", "c ) 24", "d ) 32", "e ) 48" ]
b ) 16
mathqa
07b5e77c-7bd3-4839-8e5b-51710efb5915
in filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be ?
[ "a ) 100 cu . m", "b ) 1000 cu . m", "c ) 10000 cu . m", "d ) 100000 cu . m", "e ) 10000000 cu . m" ]
c ) 10000 cu . m
mathqa
2fde2552-db10-4beb-aa48-d02ba1f6f4df
a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ?
[ "a ) 8", "b ) 8 π", "c ) 9 √ 3", "d ) 10", "e ) 12" ]
d ) 10
mathqa
1ce8868e-8d7a-4191-a0c0-f024321e29a5
four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is :
[ "a ) 24 cm 2", "b ) 42 cm 2", "c ) 154 cm 2", "d ) 196 cm 2", "e ) none of these" ]
b ) 42 cm 2
mathqa
212a1034-8acc-4a34-9176-343b494e4e39
george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ?
[ "a ) 16", "b ) 48", "c ) 64", "d ) 32", "e ) 8" ]
d ) 32
mathqa
5ce269d5-46c5-47c6-af69-8dd7247ac815
eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ?
[ "a ) 4096 sq cm", "b ) 1536 sq cm", "c ) 1024 sq cm", "d ) 2048 sq cm", "e ) 512 sq cm" ]
b ) 1536 sq cm
mathqa
e3423156-b5b0-49b2-88fd-391fc8433de4
a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
[ "a ) $ 200", "b ) $ 576", "c ) $ 480", "d ) $ 960", "e ) $ 1,920" ]
b ) $ 576
mathqa
9b481264-0cff-47a0-9c21-5064ba1526a1
abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ?
[ "a ) 1 : 1", "b ) 2 : 1", "c ) 3 : 1", "d ) 5 : 3", "e ) 8 : 3" ]
d ) 5 : 3
mathqa
79eec986-eb3a-4d17-bc8a-e4589a89e0bc
the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ?
[ "a ) 4", "b ) 8", "c ) 12", "d ) 16", "e ) 20" ]
b ) 8
mathqa
bcc6bccd-ecf4-467d-89b6-f19faf7d1fec
cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?
[ "a ) 5 m", "b ) 12 m", "c ) 6 m", "d ) 8 m", "e ) 10 m" ]
d ) 8 m
mathqa
870bc52f-bad7-4b5b-b8dd-8fdc9e71c121
an iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm . if the sides of the sheet are in the ratio 1 : 5 , the sides are :
[ "a ) 10 cm 20 cm", "b ) 2 cm 10 cm", "c ) 100 cm 20 cm", "d ) 30 cm 100 cm", "e ) none" ]
a ) 10 cm 20 cm
mathqa
107cf839-1ffa-404e-b66b-a137ab3cea30
if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ?
[ "a ) 4 : 1", "b ) 6 : 1", "c ) 8 : 1", "d ) 16 : 1", "e ) 64 : 1" ]
d ) 16 : 1
mathqa
970e4ece-602e-479b-a40a-bb81048e6583
in a school having roll strength 286 , the ratio of boys and girls is 8 : 5 . if 22 more girls get admitted into the school , the ratio of boys and girls becomes
[ "a ) 12 : 7", "b ) 10 : 7", "c ) 8 : 7", "d ) 4 : 3", "e ) none" ]
d ) 4 : 3
mathqa
99b10ae6-e578-46df-893b-614db96fd6b4
the ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325 . the value of n is
[ "a ) 15", "b ) 25", "c ) 35", "d ) 30", "e ) none of these" ]
b ) 25
mathqa
eaec3539-4703-4441-872c-99eddad82255
in an electric circuit , two resistors with resistances m and n are connected in parallel . in this case , if p is the combined resistance of these two resistors , then the reciprocal of p is equal to the sum of the reciprocals of m and n . what is p in terms of m and n ?
[ "a ) ( n - m )", "b ) mn / ( m + n )", "c ) ( nm )", "d ) ( n - m ) / ( m + n )", "e ) none of these" ]
b ) mn / ( m + n )
mathqa
eb3568c8-d669-48f6-9d28-be1fb217aca1
the dimensions of an open box are 50 cm , 40 cm and 23 cm . its thickness is 2 cm . if 1 cubic cm of metal used in the box weighs 0.5 gms , find the weight of the box .
[ "a ) 8.04 kg", "b ) 8.14 kg", "c ) 8.24 kg", "d ) 9.04 kg", "e ) none of these" ]
a ) 8.04 kg
mathqa
0ef19c14-73b5-4ddb-a5bf-4b3a78781bc5
a certain rectangular crate measures 12 feet by 16 feet by 18 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ?
[ "a ) 4", "b ) 5", "c ) 6", "d ) 8", "e ) 10" ]
d ) 8
mathqa
09b24865-4cfb-4fa6-a427-67e7365c20e1
a man walking at the rate of 6 km per hour crosses a square field diagonally in 9 seconds the area of the field is
[ "a ) 110 sq . m", "b ) 111.5 aq . m", "c ) 112.5 sq . m", "d ) 114 sq . m", "e ) none of these" ]
c ) 112.5 sq . m
mathqa
20afad4e-5362-4f24-8098-f096f5f9292c
the area of a triangle is with base 4 m and height 5 m ?
[ "a ) 11", "b ) 10", "c ) 99", "d ) 17", "e ) 12" ]
b ) 10
mathqa
efc2455b-b1a1-48a9-8211-688d85705b47
if a square mirror has a 20 - inch diagonal , what is the approximate perimeter e of the mirror , in inches ?
[ "a ) 40", "b ) 60", "c ) 80", "d ) 100", "e ) 120" ]
b ) 60
mathqa
049115a0-11e3-4326-9991-61378845d0ed
hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :
[ "a ) 720", "b ) 900", "c ) 1200", "d ) 1800", "e ) 2100" ]
c ) 1200
mathqa
9dac8443-1cf0-45ec-a380-f4a29121ef0e
abcd is a square . f and e are the midpoints of sides ad and cd , respectively . the area of triangle fed is 2 square inches . what is the area of square abcd ( in square inches ) ?
[ "a ) 4", "b ) 8", "c ) 16", "d ) 32", "e ) 64" ]
c ) 16
mathqa
29e49f31-b44f-4169-8066-58c94f823878
if the radius of a circle is increased by 12 % , then the area of the circle
[ "a ) decreases by 25.44 %", "b ) increases by 25.44 %", "c ) no change in area", "d ) decreases by 12 %", "e ) none" ]
b ) increases by 25.44 %
mathqa
5f681b80-861a-440b-b8ff-66af07590fae
if two sides of a triangle are 6 and 13 , respectively , which of the following could not be the area of this triangle ?
[ "a ) 40", "b ) 6", "c ) 17", "d ) 29", "e ) 38" ]
a ) 40
mathqa
54479994-6455-483d-b2de-af9899007e5e
a cylinder with 6 meter radius and 12 meter height is filled to capacity with water . if the content of the cylinder is used to fill several smaller cylinders of 4 meter diameter and 8 meter height , how many smaller cylinders will be filled to capacity ?
[ "a ) 13", "b ) 12", "c ) 4", "d ) 16", "e ) 18" ]
a ) 13
mathqa
bf04e902-da84-4d38-8f52-97783e437f6d
if each edge of a cube is doubled , then its volume :
[ "a ) becomes 8 times", "b ) becomes 9 times", "c ) is double", "d ) becomes 6 times", "e ) none" ]
a ) becomes 8 times
mathqa
f4beb3bd-00e0-4e12-a064-464398ddf69a
carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 4 inches tall . how tall are the sculpture andbase together ?
[ "a ) 3.17 feet", "b ) 3.2 feet", "c ) 3.3 feet", "d ) 3.4 feet", "e ) 3.5 feet" ]
a ) 3.17 feet
mathqa
94a77cec-29f7-488e-8be1-a1eb7a100c42
if the space diagonal of cube c is 5 inches long , what is the length , in inches , of the diagonal of the base of cube c ?
[ "a ) 5 / ( √ 6 )", "b ) 5 · √ ( 2 / 3 )", "c ) 5 · √ ( 3 / 2 )", "d ) 5 · √ 3", "e ) 5 · √ 6" ]
b ) 5 · √ ( 2 / 3 )
mathqa
58d9b46a-d7d9-4e98-afaf-bbf552cf836d
the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )
[ "a ) 77.14 cm", "b ) 47.14 cm", "c ) 84.92 cm", "d ) 94.94 cm", "e ) 23.57 cm" ]
e ) 23.57 cm
mathqa
c4096c48-a6b0-47dd-bb11-e817fd3dd4f4
a rectangular box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ?
[ "a ) 3 m", "b ) 4 m", "c ) 5 m", "d ) 6 m", "e ) 2 m" ]
a ) 3 m
mathqa
d603dd76-18fc-4226-88de-f466d710519a
the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be :
[ "a ) 18 cm", "b ) 28 cm", "c ) 30 cm", "d ) 38 cm", "e ) 42 cm" ]
a ) 18 cm
mathqa
6d3a9db7-c263-4d6f-ba1e-b87907623c55
after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.4 cubic inches , what is the original volume of the cubic ice , in cubic inches ?
[ "a ) 2.5", "b ) 3.0", "c ) 4.0", "d ) 6.4", "e ) 8.0" ]
d ) 6.4
mathqa
7fb96fe7-a36a-429c-9b87-883309ca5c49
a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 4 metres apart , how many poles will be needed ?
[ "a ) 55", "b ) 70", "c ) 57", "d ) 58", "e ) none of these" ]
b ) 70
mathqa
7774f2f8-083a-4e1d-b606-c86f143d33e6
if the capacity of a cylindrical tank is 1848 m 3 and the diameter of its base is 14 m , then find the depth of the tank .
[ "a ) 10", "b ) 11", "c ) 12", "d ) 13", "e ) none of them" ]
c ) 12
mathqa
41a1d742-17cd-4873-91e6-23b244001742
if each side of a rectangle is increased by 100 % , by what % the area increases ?
[ "a ) 100 %", "b ) 200 %", "c ) 250 %", "d ) 300 %", "e ) 400 %" ]
d ) 300 %
mathqa
880f38cb-0278-4dff-8fa0-c01af841bdda
tim ' s garden is shaped like a square whose side is 28 meters . what ' s the length of the fence which surrounds the garden ?
[ "a ) 110 meters", "b ) 111 meters", "c ) 112 meters", "d ) 113 meters", "e ) 114 meters" ]
c ) 112 meters
mathqa
327de27a-2e8e-4096-b3ee-9e67d9d88264
a square carpet with an area 169 m 2 must have 2 metres cut - off one of its edges in order to be a perfect fit for a rectangular room . what is the area of rectangular room ?
[ "a ) 180 m 2", "b ) 164 m 2", "c ) 152 m 2", "d ) 143 m 2", "e ) none of these" ]
d ) 143 m 2
mathqa
0ed04ac2-7a2c-4d89-b62f-7cf223aca39b
two parallel sides of a trapezium are 4 cm and 5 cm respectively . the perpendicular distance between the parallel sides is 6 cm . find the area of the trapezium .
[ "a ) 24 cm 2", "b ) 25 cm 2", "c ) 26 cm 2", "d ) 27 cm 2", "e ) 28 cm 2" ]
d ) 27 cm 2
mathqa
caa99d57-e980-4b69-b642-e498ff8e6952
a ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches . how much fraction of the ring x surface is not covered by the ring y ?
[ "a ) 13 / 15", "b ) 12 / 4", "c ) 16 / 17", "d ) 22 / 16", "e ) 17 / 81" ]
e ) 17 / 81
mathqa
93f4a588-d5d2-46e5-b74e-e26621c602ba
two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ?
[ "a ) 21", "b ) 88937", "c ) 269", "d ) 279", "e ) 2701" ]
a ) 21
mathqa
8854040d-5134-4303-b80a-0af0c7849617
a square has a side 5 centimeters shorter than the side of a second square . the area of the larger square is four times the area of the smaller square . find the side of each square
[ "a ) 5", "b ) 6", "c ) 7", "d ) 8", "e ) 9" ]
a ) 5
mathqa
91573c2a-7884-4a38-bb3a-d0b8a376cd98
paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ?
[ "a ) rs . 2250", "b ) rs . 3600", "c ) rs . 2700", "d ) rs . 1800", "e ) none of these" ]
d ) rs . 1800
mathqa
0e060cf9-712f-4a31-8326-e442e7b9bced
the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 4725 . the sum of the numbers is ?
[ "a ) a ) 10", "b ) b ) 12", "c ) c ) 15", "d ) d ) 14", "e ) e ) 9" ]
c ) c ) 15
mathqa
9ea10f50-1c18-4a35-8305-d2349152b60b
what positive number , when squared , is equal to the cube of the positive square root of 17 ?
[ "a ) 64", "b ) 32", "c ) 8", "d ) 4", "e ) 2" ]
c ) 8
mathqa
456fdd47-c197-4229-868f-c18b1a0a49af
a cylinder is being filled with sand weighing 200 kg per cubic foot . the cylinder has a diameter of 1 foot and is 5 feet tall . how much sand is being used ? ?
[ "a ) 250 pi kg", "b ) 500 pi kg", "c ) 500 pi ^ 2 kg", "d ) 1000 pi kg", "e ) 1000 pi ^ 2 kg" ]
a ) 250 pi kg
mathqa
0b14d40d-6d52-43b5-b2cb-7b0f4e124e4e
if a tire rotates at 400 revolutions per minute when the car is traveling 120 km / h , what is the circumference of the tire ?
[ "a ) 7 meters", "b ) 9 meters", "c ) 8 meters", "d ) 5 meters", "e ) 3 meters" ]
d ) 5 meters
mathqa
bca7d8b9-1752-4f89-a299-7bffeb59bade
an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ?
[ "a ) 1.32", "b ) 3.33", "c ) 3.58", "d ) 4.34", "e ) 5.18" ]
b ) 3.33
mathqa
e8947c32-1c70-45c9-8f47-375b4636df0e
find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?
[ "a ) 600", "b ) 881", "c ) 767", "d ) 261", "e ) 121" ]
a ) 600
mathqa
a43a64ef-157d-497a-ad75-1155bc190b53
in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area
[ "a ) 600 m 2", "b ) 540 m 2", "c ) 680 m 2", "d ) 574 m 2", "e ) none of these" ]
a ) 600 m 2
mathqa
4e9696cc-e02d-4adb-839a-6b10b97565d5
what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .
[ "a ) 30", "b ) 45", "c ) 60", "d ) 75", "e ) 90" ]
c ) 60
mathqa
36c456bd-3740-48f0-a119-8ff6a8234429
a square and an equilateral triangle have the same perimeter . what is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle ?
[ "a ) 9 : 8", "b ) 15 : 8", "c ) 27 : 8", "d ) 8 : 9", "e ) 8 : 15" ]
c ) 27 : 8
mathqa
c91b81ac-23f3-4226-bf67-db7e6173b84e
a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years...
[ "a ) 12541", "b ) 12542", "c ) 12544", "d ) 12545", "e ) can not be determined" ]
c ) 12544
mathqa
81cfae2a-ebf7-43ad-bea6-815c3aa0348b
if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?
[ "a ) 68", "b ) 69", "c ) 70", "d ) 71", "e ) 72" ]
b ) 69
mathqa
911462df-6968-4ebd-93ea-ef583037879b
the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ?
[ "a ) 20", "b ) 10", "c ) 50", "d ) 74", "e ) 73" ]
d ) 74
mathqa
eacf4f4a-1741-4c8d-a8b2-aeae4bb4791e
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ?
[ "a ) 20", "b ) 30", "c ) 40", "d ) 55", "e ) 48" ]
b ) 30
mathqa
bf1842e5-b8f8-46fd-97ef-c9c3e85cc6a2
let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area
[ "a ) 360", "b ) 450", "c ) 560", "d ) 670", "e ) 780" ]
b ) 450
mathqa
25a5edc7-e18c-4bcf-9a88-7dabb947e68f
the dimensions of a rectangular solid are 6 inches , 5 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is n...
[ "a ) 10 : 17", "b ) 2 : 5", "c ) 5 : 16", "d ) 10 : 19", "e ) 32 : 25" ]
d ) 10 : 19
mathqa
ab7d65ea-9ffd-40f1-bdf6-4f298c4658f9
two identical circles intersect such that their centers and the points at which they intersect form a square of side 4 cm . what is the area of the region where the two circles intersect ?
[ "a ) 16 - 4 pi", "b ) 4 - pi", "c ) 2 pi - 4", "d ) 8 pi - 16", "e ) pi ^ 2 - 4" ]
d ) 8 pi - 16
mathqa
c28558ec-98ae-4721-8850-d317034612d6
if the length of a rectangle is increased by 20 % and the breadth is reduced by 20 % , what will be the effect on its area ?
[ "a ) 4 % increase", "b ) 6 % increase", "c ) 5 % decrease", "d ) 4 % decrease", "e ) none of these" ]
d ) 4 % decrease
mathqa
487f63e9-2ca3-4176-a7dc-c134135f6059
the radius of a cylindrical vessel is 7 cm and height is 3 cm . find the whole surface of the cylinder ?
[ "a ) 520 sq cm", "b ) 840 sq cm", "c ) 440 sq cm", "d ) 120 sq cm", "e ) 5 sq cm" ]
c ) 440 sq cm
mathqa
bdb07257-44b1-4286-a3bb-bce7a5743d68
if the radius of the sphere is 14 m . then its total surface area is
[ "a ) 2644", "b ) 2446", "c ) 2464", "d ) 6442", "e ) 6424" ]
c ) 2464
mathqa
9d49c020-5bf8-41d9-8b51-5831b3fd040c
a hemispherical bowl is made of 0.5 cm thick steel . inner radius of the bowl is 4 cm . the volume of steel used in making the bowl is
[ "a ) 55.83 cm 3", "b ) 56.83 cm 3", "c ) 113.67 cm 3", "d ) 58.83 cm 3", "e ) none of these" ]
b ) 56.83 cm 3
mathqa
172823ab-9911-4c67-83d0-70b6359c8b98
the area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot . what will be the length of the diagonal of the square plot ?
[ "a ) 100 m", "b ) 120 m", "c ) 95 m", "d ) 80 m", "e ) 150 m" ]
b ) 120 m
mathqa