Question 1 : For the following distribution:
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b70273b2305849799a3.jpg' />
The modal class is
Question 2 :
One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is
Question 3 : In the following distribution :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b8e273b2305849799c8.PNG' />
The number of families having income range (in Rs) 16000 – 19000 is
Question 4 :
A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
Question 5 :
In any situation that has only two possible outcomes, each outcome will have probability $\frac{1}{2}$.
Question 6 :
An event is very unlikely to happen. Its probability is closest to
Question 7 : Consider the following frequency distribution :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b70273b2305849799a2.PNG' />
The upper limit of the median class is
Question 9 :
Someone is asked to take a number from 1 to 100. The probability that it is a prime is
Question 10 :
The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is
Question 12 :
State True or False: To find the mean of grouped data, it is assumed that the frequency of each class interval is centred around its mid-point.
Question 13 :
A bag contains 3 red balls, 5 white balls and 7 black balls. What is the probability that a ball drawn from the bag at random will be neither red nor black?
Question 14 : Consider the data:
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b72273b2305849799a5.jpg' />
The difference of the upper limit of the median class and the lower limit of the modal class is
Question 15 :
While computing mean of grouped data, we assume that the frequencies are
Question 16 :
If the probability of an event is p, the probability of its complementary event will be
Question 17 :
State True or False. In a grouped frequency distribution, it is not possible to determine the mode by looking at the frequencies. To find the mode of grouped data, locate the class with the maximum frequency. This class is known as the modal class. The mode of the data is a value inside the modal class.
Question 18 :
Which of the the following can be the probability of an event?
Question 19 : The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b71273b2305849799a4.jpg' />
The number of atheletes who completed the race in less then 14.6 seconds is :
Question 20 :
A card is selected from a deck of 52 cards. The probability of its being a red face card is
Question 21 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 2nd term ?
Question 22 :
Find the sum of the following AP: 0.6, 1.7, 2.8, . . ., to 100 terms.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc8273b230584979a15.JPG' />
In the above fig. In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line. A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?
Question 24 :
For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?
Question 25 :
Find the sum of the first 40 positive integers divisible by 6.
Question 26 :
Find the sum of the first 15 terms in $a_n = 9 – 5n$
Question 27 :
In an AP, given $a_3 = 15, S_{10} = 125$, find d and $a_{10}$.
Question 28 :
The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.
Question 29 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 10th term ?
Question 31 :
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?
Question 32 :
In an AP, given $a = 2, d = 8, S_n = 90$, find n and $a_n$.
Question 33 :
If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of this AP is zero?
Question 34 :
Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .
Question 35 :
Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?
Question 36 :
Does $a_1, a_2, . . ., a_n, . . $ form an AP where $a_n = 9 – 5n$?
Question 37 :
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Question 38 :
If the sum of the first n terms of an AP is $4n – n^2$, what is the first term (that is $S_1$)?
Question 39 :
Find the sum of the following AP: 34 + 32 + 30 + . . . + 10
Question 40 :
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.
Question 41 :
During conversion of a solid from one shape to another, the volume of the new shape will
Question 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b91273b2305849799cc.jpg' />
In the above figure the shape of a glass (tumbler) is usually in the form of
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c33273b230584979a92.JPG' />
The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm (see the above image). Find its volume(Take $\pi$ = $\frac{22}{7}$ ).
Question 44 :
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by Another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 $cm^3$ of iron has approximately 8 g mass.
Question 45 :
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b90273b2305849799cb.jpg' />
In the above figure, plumbline (sahul) is the combination of
Question 47 :
A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depression to hold the pens and pins, respectively. The dimension of the cuboid are 10 cm, 5 cm and 4 cm. The radius of each 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.
Question 48 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b91273b2305849799cd.jpg' />
Total surface area of a lattu (top) as shown in the above figure is the sum of total surface area of hemisphere and the total surface area of cone.
Question 49 :
Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is $12a^2$.
Question 50 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b32273b23058497994f.jpeg' />
As shown in the above figure, a pen stand made of wood, is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are $15 cm\times10 cm \times 3.5 cm$. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
Question 51 :
Two identical cubes each of volume 64 $cm^3$ are joined together end to end. What is the surface area of the resulting cuboid?
Question 52 :
How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm.
Question 53 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c35273b230584979a94.JPG' />
In the above image, hanumappa and his wife Gangamma are busy making jaggery out of sugarcane juice. They have processed the sugarcane juice to make the molasses, which is poured into moulds in the shape of a frustum of a cone having the diameters of its two circular faces as 30 cm and 35 cm and the vertical height of the mould is 14 cm (see the above image). If each cubic cm of molasses has mass about 1.2 g, find the mass of the molasses that can be poured into each mould. (Take $\pi$ =$\frac{22}{7}$)
Question 54 :
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Question 55 :
A shuttle cock used for playing badminton has the shape of the combination of
Question 56 :
A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.
Question 57 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c31273b230584979a90.jpg' />
In the above image, a solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2 cm and the diameter of the base is 4 cm. If a right circular cylinder circumscribes the toy, find the difference of the volumes of the cylinder and the toy. (Take $\pi$ = 3.14)
Question 58 :
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is $4\pi rh+4\pi r^2$.
Question 59 :
A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.
Question 60 :
A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius of the heap.
