Question
In a two digit positive number, the digit in the
unit’s place is equal to the square of the digit in ten’s place, and the difference between the number and the number obtained by interchanging the digits is 54. What is 60% of the original number?Solution
Let the number = 10x + x 2 According to the question, (10x2 + x) - (10x + x2) = 54 9(x2 - x) = 54 x2 - x = 6 x2 - x - 6 = 0 (x - 3) (x + 2) = 0 x = 3 or x = -2 Number = 39 [x `!=` 2] 60% of 39 = `60/100xx39` = 23.4
A poly-bag contains (3a - 4) red, (2a - 3) white, and (a - 1) black rubber bands. Two rubber bands are drawn randomly from the bag, and the probability ...
R goes to the gym either by cycle, car, or walking. On a specific day, the probability of him going by car is 0.3 less than the probability of walking a...
A bag holds a total of 7 balls, consisting of 3 red balls and 4 black balls. If two balls are randomly drawn from the bag without replacement, what is t...
What is the probability that Wye will speak truth for a particular question asked?
Three cards are drawn one after another with replacements from a standard deck of 52 cards. What is the probability of getting the first card a Queen, t...
- A bag contains 9 white balls, 6 black balls, and 3 green balls. Two balls are drawn at random. Find the probability that the two balls are white.
The probability that Leah will be accepted into program P is 60% and into program Q is 40%. Leah prefers program 'P' first, then 'Q', and finally 'R'. A...
A die is biased in such a way that if thrown once, then the probability of getting an odd number on the die is (1/5) more than the probability of gettin...
Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. Wha...
- A pair of dice is rolled once, what is the probability that the sum of the numbers on top is 5?
Relevant for Exams:
