Maths Practice Question and Answer

Q:

If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes _______ of its previous volume.

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  • 1
    4 times
    Correct
    Wrong
  • 2
    8 times
    Correct
    Wrong
  • 3
    3 times
    Correct
    Wrong
  • 4
    6 times
    Correct
    Wrong
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Answer : 2. "8 times"

Q:

Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?

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

Q:

If the simple interest on ₹ 1 for 1 month is 1 paisa, then the rate percent per annum will be 

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  • 1
    12%
    Correct
    Wrong
  • 2
    6 %
    Correct
    Wrong
  • 3
    10 %
    Correct
    Wrong
  • 4
    8 %
    Correct
    Wrong
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Answer : 1. "12% "

Q:

A train moves at a speed of 35 km/h for the first 2 hours and at a speed of 50 km/h for the next 4 hours. Find the average speed of the train during the entire journey.

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  • 1
    47 km/h
    Correct
    Wrong
  • 2
    50 km/h
    Correct
    Wrong
  • 3
    45 km/h
    Correct
    Wrong
  • 4
    35 km/h
    Correct
    Wrong
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Answer : 3. "45 km/h"

Q:

A container contains a mixture of two liquids, A and B, in the proportion 7 : 5. If 9 liters of the mixture is replaced by 9 liters of liquid B, then the ratio of the two liquids becomes 7 : 9. How much of liquid A was there in the container initially?

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  • 1
    21 liters
    Correct
    Wrong
  • 2
    35 liters
    Correct
    Wrong
  • 3
    40 liters
    Correct
    Wrong
  • 4
    19 liters
    Correct
    Wrong
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Answer : 1. "21 liters"

Q:

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

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  • 1
    $$ {5\sqrt{2}}{\ cm};{18.25{\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {(5+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    16 cm and 16 sq.cm
    Correct
    Wrong
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Answer : 3. "$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$"

Q:

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is

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  • 1
    $$1520 m^2$$
    Correct
    Wrong
  • 2
    $$2420 m^2$$
    Correct
    Wrong
  • 3
    $$2480 m^2$$
    Correct
    Wrong
  • 4
    $$2520 m^2$$
    Correct
    Wrong
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Answer : 4. "$$2520 m^2$$"

Q:

In ΔPQR, PQ=QR and O is an interior point of ΔPQR such that ∠OPR=∠ORP.

Consider the following statements:

(i) ΔPOR is an isosceles triangle.

(ii) O is the centroid of ΔPQR.

(iii) ΔPQO is congruent to ΔRQO.

Which of the above statements are correct?

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  • 1
    Only (i) and (ii)
    Correct
    Wrong
  • 2
    Only (i) and (iii)
    Correct
    Wrong
  • 3
    Only (ii) and (iii)
    Correct
    Wrong
  • 4
    Only (ii)
    Correct
    Wrong
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Answer : 2. "Only (i) and (iii) "

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