Question
The average of x numbers is 24. If 60% of these numbers
are reduced by 5 and the remaining 40% are increased by 10, what will be the new average of the x numbers?Solution
Sum of ‘x’ numbers = 24x
New sum of the ‘x’ numbers = 24x – 0.6x × 5 + 0.4x × 10 = 25x
Therefore, new average = 25x/x = 25
A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that the card number is a perfect squ...
A bag contains 20 white and some black balls. If the probability of drawing a black ball from the bag is 2.5 times that of drawing a white ball, find th...
A bag contains 5 red balls, 4 blue balls, and 3 green balls. If three balls are drawn randomly, what is the probability that all three balls are of diff...
In a bag, there are 5 red balls, 6 green balls, and 9 blue balls. If two balls are drawn at random without replacement, what is the probability that bot...
A committee of 5 members is to be selected from 7 men and 5 women. How many ways can the committee be formed if it should include at least 3 men?
- Bag A contains 3 yellow and 5 blue balls, while Bag B contains 4 yellow and 6 green balls. If one ball is drawn from bag 'A' and bag 'B', respectively, at ...
A bag contains 14 black and 16 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
...A box has 5 red and 3 blue balls. Two balls drawn without replacement. Probability of at least one blue?
Find the probability of selecting a numbered red card (from 2 to 10) from a well shuffled deck.
A bag contains x orange balls, (x + 5) purple balls and (x + 7) green balls. If probability of getting a purple ball is 1/15 more than that of getting a...
Relevant for Exams:
