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Exam  >   Tests  >  Class VIII - Online Scholarship Test - MCQ

Class VIII - Online Scholarship Test - MCQ


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30 Questions MCQ Test - Class VIII - Online Scholarship Test

Class VIII - Online Scholarship Test - Question 1
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What type of lens is used as a remedy for a short sighted person.

Class VIII - Online Scholarship Test - Question 2
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A solenoid having an iron core has its terminals connected across an ideal D.C. source. If the iron core is removed the current flowing through solenoid :

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Class VIII - Online Scholarship Test - Question 3
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A current of 2A flows in a system of conductors the potential difference VA – VB (in volts) in figure ?

Class VIII - Online Scholarship Test - Question 4
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In the circuits drawn in column-I of the following table, all the bulbs are identical. Match the entries of column-I with entries of column-II :
Class VIII - Online Scholarship Test - Question 5
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The speed of light in glass is  C and speed of light in a liquid is  C (C = speed of light in air). The refractive index of liquid with respect to glass is :
Class VIII - Online Scholarship Test - Question 6
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Water can work as fire extinguisher :
Class VIII - Online Scholarship Test - Question 7
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The kind of fabric that can be used while working in a laboratory is
Class VIII - Online Scholarship Test - Question 8
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Which of the following substances is used in refining of petroleum ?
Class VIII - Online Scholarship Test - Question 9
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Which of the folIowing statements is correct ?
Class VIII - Online Scholarship Test - Question 10
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The metal which does not react with oxygen is -
Class VIII - Online Scholarship Test - Question 11
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The factors of 9x3y3 -243z3 are–
Detailed Solution for Class VIII - Online Scholarship Test - Question 11

Step 1: Take out the common factor

Both terms have a common factor of 9:

9x³y³ − 243z³ = 9(x³y³ − 27z³)

Step 2: Recognize the difference of cubes

We now factor x³y³ − 27z³.

Note:

  • x³y³ = (xy)³

  • 27z³ = (3z)³

So:

x³y³ − 27z³ = (xy)³ − (3z)³

Now apply the identity for a³ − b³:

a³ − b³ = (a − b)(a² + ab + b²)

Here, a = xy and b = 3z:

So we get:

(xy − 3z)(x²y² + 3xyz + 9z²)

Final Answer:

The factors of 9x³y³ − 243z³ are:

9(xy − 3z)(x²y² + 3xyz + 9z²)

Class VIII - Online Scholarship Test - Question 12
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If the length of a rectangle is increased by 10% and area is unchanged then the corresponding breadth must be decreased by–
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which can be writen as 

Class VIII - Online Scholarship Test - Question 13
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55 is the cuberoot of 166375 then the value of  =
Class VIII - Online Scholarship Test - Question 14
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If the length of a cuboid is decreased by 50% then its volume is decreased by–
Class VIII - Online Scholarship Test - Question 15
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In the given figure AP, BQ,CR and AS are straight lines, such that AS|| BQ and AB=BC. If   =110º then measure of     is -

 

Class VIII - Online Scholarship Test - Question 16
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A box tied by a ribbon, as shown in the figure, is to be presented as a gift.After allowing an additional length of 10cm. for the knot, length of the ribbon required is–
Class VIII - Online Scholarship Test - Question 17
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The value of   is -
Class VIII - Online Scholarship Test - Question 18
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Volume of the greatest cone which can be cut from the cube of side 3 cm, is–
Class VIII - Online Scholarship Test - Question 19
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The denominator of a rational number is greater than its numerator by 3. If the denominator is doubled and numerator is decreased by two, the ratio of numerator and denominator becomes 1 : 4. The original rational number is–
Class VIII - Online Scholarship Test - Question 20
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The value of       
Class VIII - Online Scholarship Test - Question 21
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27 solid spheres of radius r and surface area s are melted and changed into a single solid sphere of radius  R and surface area S . Then the ratio of s : S is -
Class VIII - Online Scholarship Test - Question 22
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One day, the rainfall was 10cm. If the water fallen on the roof of length and breadth 70 m and 44m respectively was collected in a cylindrical tank of radius 14m. The volume of water fallen on the roof was-
Class VIII - Online Scholarship Test - Question 23
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Which of the following property of a rectangle is not true :
Class VIII - Online Scholarship Test - Question 24
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In the given figure :   the value of    is
Detailed Solution for Class VIII - Online Scholarship Test - Question 24

Given:

  • Quadrilateral ABCD is cyclic.

  • Angle BAC = 55°

  • Angle ABD = 45°

  • Find: Angle ACD

Step 1: Use the circle property (angles subtended by the same chord)

In a circle, angles subtended by the same chord at the circumference are equal.

Here, angle BAC and angle BDC subtend chord BC.

So:
Angle BDC = Angle BAC = 55°

Step 2: Use triangle ABD

In triangle ABD:

  • Angle ABD = 45°

  • Angle BAD = 55° (same as angle BAC)

We know the sum of angles in a triangle is 180°, so:

Angle ADB = 180° - (45° + 55°)
Angle ADB = 180° - 100° = 80°

Step 3: Use the cyclic quadrilateral property

In a cyclic quadrilateral, opposite angles add up to 180°.

Angle ACD is opposite to angle ADB.

So:
Angle ACD + Angle ADB = 180°
Angle ACD + 80° = 180°
Angle ACD = 180° - 80° = 100°

Final Answer:

Angle ACD = 100°

Class VIII - Online Scholarship Test - Question 25
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The moon diameter of moon is approximately one fourth of the diameter of the earth. Volume of moon is what fraction of the volume of earth :
Class VIII - Online Scholarship Test - Question 26
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Double membrane is absent in
Class VIII - Online Scholarship Test - Question 27
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Endocrine glands are those which put their secretions directly into &
Class VIII - Online Scholarship Test - Question 28
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Spraying of D.D.T. on crops produces pollution of
Detailed Solution for Class VIII - Online Scholarship Test - Question 28

Final answer : Spraying of DDT on crops causes pollution of Air, water and soil.

Class VIII - Online Scholarship Test - Question 29
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Ozone layer of upper atmosphere is being destroyed by
Class VIII - Online Scholarship Test - Question 30
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Nitrogen fixation  means
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