Maths-
General
Easy
Question
The circle graph represents a total of 240 animals. The shaded area represents the number of monkeys. How many of the animals many of the animals are monkeys?
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)
- 8
- 20
- 30
- 72
The correct answer is: 20
We should find no of monkeys
As known total angle inside the circle should be 360o
From the given figure we can observe that the shaded part angle is 360-330=30o
So no of the parts is 360/30=12
Hence out of 240 we should take 12 parts
So 240/12 =20
Hence 20 monkeys are there
Related Questions to study
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An aldehyde on treatment with
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An aldehyde on treatment with
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chemistry-General
Maths-
In the figure if TP and TQ are the two tangents to a circle with centre O so that ÐPOQ = 110º, then ÐPTQ is equal to
![](data:image/png;base64,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)
Hence ∠PTQ = 70°
In the figure if TP and TQ are the two tangents to a circle with centre O so that ÐPOQ = 110º, then ÐPTQ is equal to
![](data:image/png;base64,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)
Maths-General
Hence ∠PTQ = 70°
Maths-
the straight lines x
and
passes through the point
the straight lines x
and
passes through the point
Maths-General
chemistry-
Ether fire can be extinguished by:
Ether fire can be extinguished by:
chemistry-General
Maths-
In the figure,
, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of DA.OB.
![](data:image/png;base64,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)
In the figure,
, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of DA.OB.
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure, compute the area of quadrilateral ABCD.
![](data:image/png;base64,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)
In the figure, compute the area of quadrilateral ABCD.
![](data:image/png;base64,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)
Maths-General
chemistry-
Glycerol is oxidised by bismuth nitrate to produce
Glycerol is oxidised by bismuth nitrate to produce
chemistry-General
chemistry-
Diethyl ether may be regarded as anhydride of:
Diethyl ether may be regarded as anhydride of:
chemistry-General
Maths-
If a line AB makes an angle
with OX and is at a distance of
units from the origin then the equation of AB is
If a line AB makes an angle
with OX and is at a distance of
units from the origin then the equation of AB is
Maths-General
chemistry-
Ethylene glycol gives oxalic acid on oxidation with
Ethylene glycol gives oxalic acid on oxidation with
chemistry-General
physics-
Two thermometers A and B are exposed in sun light. The valve of A is pointed black, but that of B is not pointed. The correct statement regarding this case is
Two thermometers A and B are exposed in sun light. The valve of A is pointed black, but that of B is not pointed. The correct statement regarding this case is
physics-General
physics-
Two conducting rods
and
of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of
is maintained. If thermal conductivity of
is
and that of
is
then the ratio of heat current flowing in parallel combination to that flowing in series combination is
![](data:image/png;base64,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)
Two conducting rods
and
of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of
is maintained. If thermal conductivity of
is
and that of
is
then the ratio of heat current flowing in parallel combination to that flowing in series combination is
![](data:image/png;base64,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)
physics-General
chemistry-
When glycerol is treated with excess of
it produces:
When glycerol is treated with excess of
it produces:
chemistry-General
chemistry-
Ethyl ester
The product will be
Ethyl ester
The product will be
chemistry-General
physics-
Out of the following, in which vessel will the temperature of the solution be higher after the salt is completely dissolved
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)
Out of the following, in which vessel will the temperature of the solution be higher after the salt is completely dissolved
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)
physics-General