Which of the the following can be the probability of an event?
(A) – 0.04 (B) 1.004 (C) 18/23 (D)8/7
Consider the following frequency distribution of the heights of 60 students of a class :
Height (in cm) Number of students
150-155 15
155-160 13
160-165 10
165-170 8
170-175 9
175-180 5
The sum of the lower limit of the modal class and upper limit of the median class is
(A) 310 (B) 315 (C) 320 (D) 330
In the following distribution :
Monthly income range (in Rs) Number of families
Income more than Rs 10000 100
Income more than Rs 13000 85
Income more than Rs 16000 69
Income more than Rs 19000 50
Income more than Rs 22000 33
Income more than Rs 25000 15
the number of families having income range (in Rs) 16000 – 19000 is
(A) 15 (B) 16 (C) 17 (D) 19
Construction of a cumulative frequency table is useful in determining the
(A) mean (B) median(C) mode (D) all the above three measures
A pen stand made of wood is in the shape of a cuboid with four conical depres- sions and a cubical depression to hold the pens and pins, respectively. The dimen- sion of the cuboid are 10 cm, 5 cm and 4 cm. The radius of each of the conical depressions is 0.5 cm and the depth is 2.1 cm. The edge of the cubical depression is 3 cm. Find the volume of the wood in the entire stand.
The rain water from a roof of dimensions 22 m x 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.
Water flows through a cylindrical pipe, whose inner radius is 1 cm, at the rate of 80 cm/sec in an empty cylindrical tank, the radius of whose base is 40 cm. What is the rise of water level in tank in half an hour?
A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.
A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl?
A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are 6 cm and 12 cm, respectively. If the the slant height of the conical portion is 5 cm, find the total surface area and volume of the rocket [Use π = 3.14].
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