NTSE Mathematics Mensuration MCQs Set 01

Question: The volume of a sphere of diameter 2p cm is given by

• a) π p² cm³
• b) π p³ cm³
• c) 4 πp³ cm³ 
• d)

  

Answer:

Question: The maximum length of pencil. Which can be put in side box whose dimensions are 8 cm × 6 cm × 2 cm.

• a) 2√13cm
• b) 2√14cm
• c) 2√26cm
• d) 10√2cm

Answer: 2√26cm

Question: One room’s breadth is double its height and half its length. If volume of room is 512 cubic meter then the length of the room will be -

• a) 12 m
• b) 16 m
• c) 20 m
• d) 32 m

Answer: 16 m

Question: A rectangular wooden block whose dimensions are 15cm long, 12 cm. Wide 6cm high. How many minimum cubes to be made by this block.

• a) 6
• b) 11
• c) 33
• d) 40

Answer: 40

Question: Area of rectangle mat is 60 cm2, it sum of its diagonal & longer side is five times of its smaller side then length of the mat will be -

• a) 5 m
• b) 12 m
• c) 13 m
• d) 14.5 m

Answer: 12 m

Question: Diameter of a cylindrical vessel is 60cm. It is filled with water such that a sphere of diameter 30cm. is merged fully into it. Then what is the increase in height of the surface after putting the sphere in the vessels.

• a) 2 cm
• b) 3 cm
• c) 4 cm
• d) 5 cm

Answer: 5 cm

Question: If Area of equilateral triangles increase 2√3 cm. when its sides increases by 2cm then length of its side will be -      

• a) 1 cm
• b) √3cm              
• c) 3 cm
• d) (√3+2)cm

Answer: 1 cm

Question: A village, having a population of 4000, requires 150 / water per head per day. It has a tank measuring 20 m by 15 m by 6 m. For how many days the water of this tank will last :

• a) 6 days
• b) 5 days
• c) 4 days
• d) 3 days

Answer: 5 days

Question: A drum of water is 3/5 fill/ When 57 liters are drawn from it, it is just 1/8 full. find the total capacity of drum.

• a) 120 ml
• b) 120 lit
• c) 100 lit
• d) 240 lit

Answer: 120 lit

Question: If the perimeter of a square is (4y + 12)m, then the length of its diagonal is :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

 More Questions........................

Question: A rectangular garden ahs an area 2000 m2 and its length and breadth are in the ratio  5: 4. A road of uniform width runs inside the garden around the perimeter and has an area 344 m2, then the width of the road is :

• a) 4 m
• b) 3.5 m
• c) 3 m
• d) 2 m

Answer: 2 m

Question: The area of a right angled triangle is 20 cm2 and one of the sides containing the right triangle is 4 cm. Then the altitude on the hypotenuse is :

• a) 8 cm
• b) 10 cm
• c)

  

• d)

  

Answer:

Question: The diagonal of a square A is (x + y). The diagonal of square B with twice the area of A is

• a) 2 (x + y)
• b) x + 2y
• c)

  

• d) 2x + 4y

Answer:

Question: If the length, breadth and height of a cube are increased, decreased and increased by 1%, 3% and 2% respectively, then the volume of the solid

• a) Increased
• b) Decreased
• c) Increases or decreases depending upon the original dimensions
• d) Increase or decrease this cannot be computed with the data available

Answer: Decreased

Question: Solids of various shapes are cost from equal volumes of metal. The least surface will be possessed by

• a) Cylinder
• b) Sphere
• c) Cube
• d) Hemisphere

Answer: Cylinder

Question: A wire in the shape of an equilateral triangle has an area S sq. cms. If the same wire is bent to form a circle. the area of the circle will be

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A wire of length 2p is bent to form a circle, a triangle, a rectangle and a polygon. State which figure has greatest area

• a) Circle
• b) Rectangle
• c) Triangle
• d) Polygon

Answer: Rectangle

Question: A right circular cylinder, a right circular cone and a hemisphere are all having equal base area and height. These volumes are in the ratio,

• a) 1 : 2 : 3
• b) 3 : 1 : 2
• c) 3 : 2 : 1
• d) 2 : 1 : 3

Answer: 3 : 1 : 2

Question: A rectangular sheet of cardboard is 9 cms by 6 cms. If greatest possible circle is cut off from card board the remaining area is

• a) 36 -π                     
• b) 9 (6 -π  )    
• c) ( 6 - π  )
• d) 6(9 - π  )

Answer:  9 (6 -π  )              

Question: A cone is cut half way through its axis and parallel to the base, the volumes of two portions are in the ratio

• a) 1 : 1
• b) 1 : 3
• c) 1 : 7
• d) 1 : 4

Answer: 1 : 7