Maths Practice Question and Answer

Q:

A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?

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  • 1
    50 %
    Correct
    Wrong
  • 2
    $$ {33{1\over3}}{ \%}$$
    Correct
    Wrong
  • 3
    75 %
    Correct
    Wrong
  • 4
    $$ {66{2\over3}}{ \%}$$
    Correct
    Wrong
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Answer : 1. "50 %"

Q:

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

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  • 1
    4 : 7
    Correct
    Wrong
  • 2
    3 : 8
    Correct
    Wrong
  • 3
    4 : 5
    Correct
    Wrong
  • 4
    5 : 9
    Correct
    Wrong
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Answer : 2. "3 : 8"

Q:

Express 15625 as a power of 5?

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  • 1
    $$4^5$$
    Correct
    Wrong
  • 2
    $$5^6$$
    Correct
    Wrong
  • 3
    $$5^5$$
    Correct
    Wrong
  • 4
    $$6^5$$
    Correct
    Wrong
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Answer : 2. "$$5^6$$"

Q:

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half yearly is: 

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  • 1
    6.06%
    Correct
    Wrong
  • 2
    6.07%
    Correct
    Wrong
  • 3
    6.08%
    Correct
    Wrong
  • 4
    6.09%
    Correct
    Wrong
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Answer : 4. "6.09%"

Q:

The graphs of the equations 3x-20y-2=0 and 11x-5y+61=0 intersect at P(a,b). What is the value of (a2 + b— ab)/(a— b2 + ab)?

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  • 1
    $${37\over 35} $$
    Correct
    Wrong
  • 2
    $${5\over 7}$$
    Correct
    Wrong
  • 3
    $${31\over 41}$$
    Correct
    Wrong
  • 4
    $${41\over 31}$$
    Correct
    Wrong
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Answer : 3. "$${31\over 41}$$"

Q:

Triangle PQR is such that PQ=9 cm, QR=6 cm, PR=7.5 cm and triangle PQR is similar to triangle XYZ. If XY=18 cm, find the value of YZ.

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  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    12 cm
    Correct
    Wrong
  • 4
    9 cm
    Correct
    Wrong
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Answer : 3. "12 cm"

Q:

Solve it $$ {sin \ θ\over 1+cos\ θ}+{1+cosθ\over sin\ θ}=?$$

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  • 1
    $$ {tan \ θ} $$
    Correct
    Wrong
  • 2
    $$ {cot\ θ}$$
    Correct
    Wrong
  • 3
    $$ {2\over sinθ}$$
    Correct
    Wrong
  • 4
    $$ {2\over cosθ}$$
    Correct
    Wrong
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Answer : 3. "$$ {2\over sinθ}$$"

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Answer : 2. "5"

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