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• There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is:
  There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is:
• Probability of drawing an ace from a well-shuffled deck of 52 cards is:
  Probability of drawing an ace from a well-shuffled deck of 52 cards is:
• There are 5 prizes on 1000 tickets of a lottery of a company. Probability of winning a prize is:
  There are 5 prizes on 1000 tickets of a lottery of a company. Probability of winning a prize is:
• Probability of getting an even number in a single throw of a fair die is:
  Probability of getting an even number in a single throw of a fair die is:
• If $P(E)=0.37$, then $P(\text{not }E)$ (i.e., $P(E^c)$) will be:
  If $P(E)=0.37$, then $P(\text{not }E)$ (i.e., $P(E^c)$) will be:
• Find the mode of the data $4,7,9,7,6,7,5,6,9,4$.
  Find the mode of the data $4,7,9,7,6,7,5,6,9,4$.
• The mean of 6 observations is 12. After adding one more observation the mean becomes 13. What is the added observation?
  The mean of 6 observations is 12. After adding one more observation the mean becomes 13. What is the added observation?
• What is the median of the data $78, 56, 22, 34, 45, 54, 39, 68, 54, 84$?
  What is the median of the data $78, 56, 22, 34, 45, 54, 39, 68, 54, 84$?
• The mean of five numbers is 30. If one number is excluded and the mean of the remaining four becomes 28, the excluded nu
  The mean of five numbers is 30. If one number is excluded and the mean of the remaining four becomes 28, the excluded number is:
• If $x$ is the mid-point and 1 is the upper class limit of a class in a continuous distribution, then the lower class lim
  If $x$ is the mid-point and 1 is the upper class limit of a class in a continuous distribution, then the lower class limit is:
• If the mean of $x,\ x+3,\ x+5,\ x+7,\ x+10$ is 9, then the mean of the last three observations is:
  If the mean of $x,\ x+3,\ x+5,\ x+7,\ x+10$ is 9, then the mean of the last three observations is:
• In the class intervals 40–50, 50–60, the number 50 is included in:
  In the class intervals 40–50, 50–60, the number 50 is included in:
• If each observation of a data set is increased by 5, then the mean of the data:
  If each observation of a data set is increased by 5, then the mean of the data:
• f the mean of $n$ observations..
  f the mean of $n$ observations..
• Find the mean of $x+77$, $x+7$, $x+5$, $x+3$ and $x-2$.
  Find the mean of $x+77$, $x+7$, $x+5$, $x+3$ and $x-2$.
• If both the radius and height of a cone are doubled, by what factor does its volume change?
  If both the radius and height of a cone are doubled, by what factor does its volume change?
• A well with 10 m inside diameter is dug 14 m deep. Earth taken out is spread to form an embankment of height $4\tfrac{2}
  A well with 10 m inside diameter is dug 14 m deep. Earth taken out is spread to form an embankment of height $4\tfrac{2}{3}$ m around it. Find the width of the embankment.
• In a cylindrical container, base radius is 8 cm. If the height of the water level is 20 cm, find the volume of water (in
  In a cylindrical container, base radius is 8 cm. If the height of the water level is 20 cm, find the volume of water (in litres).
• Two right circular cones of equal curved surface areas have slant heights in the ratio 3 : 5. Find the ratio of their ra
  Two right circular cones of equal curved surface areas have slant heights in the ratio 3 : 5. Find the ratio of their radii.
• If the radius of a sphere is doubled, then what is the ratio of their surface areas (old : new)?
  If the radius of a sphere is doubled, then what is the ratio of their surface areas (old : new)?