A string of three English letters is formed as per the following rules:
a) The first letter is any vowel.
b) The second letter is m, n or p.
c) If the second letter is m then the third letter is any vowel which is different from the first letter.
d) If the second letter is n then the third letter is e or u.
e) If the second letter is p then the third letter is the same as the first letter.
How many strings of letters can possibly be formed using the above rules?
0 voters
If no. System with base 8 is followed then how many 4 digit no. Can be formed...... Please post approach also
How many natural numbers less than 1000 can be written as a difference of squares or whole numbers in atleast 1 way? Approach pls
Guys please explain pbm no. 15.
approach
pair of integers satisfy the equation x2-y2=1331?
(x-99)(x-97).....(x-3)(x-1) Coefficient of x^49?
The LCM of two numbers a and b is p^p q^q r^r, where p, q and r are three distinct prime numbers. The number of possible ordered pairs (a, b) is
Options:
1. (p + 1) (q + 1) (r + 1)
2. p^2 q^2 r^2
3. (2p + 1) (2q + 1) (2r + 1)
4 .None of these
A student wrote down 121 digit no. Starting with the 1st natural no. By writing all the no.s in a single row adjacent to each other.Find the remainder when no. is divided by 8.?
A student wrote down the first 64 whole numbers in binary form. How many times did he write 1?
Nagu bought a new bike and went for a drive,riding at a uniform speed on a highway. At 9 am he passed a milestone. He turned his head back and read the number on the milestone.He continued driving and at 10 am, he passed another milestone. Again he turned his head back and saw that the number was the reverse of the number on the first milestone. He continued driving and at 11 am he passed a third milestone.Again, he turned his head back to note the number. The sum of the digits of the number on this milestone was equal to the sum of the digits of the number on the first milestone. Which of the following is the speed at which he travelled?(Assume that the numbers he saw were increasing)
Find the number of distinct real solutions (x, y, z) for the following set of equations:
y3 - 9x2 + 27 x - 27 = 0
z3 - 9y2 + 27 y - 27 = 0
x3 - 9z2 + 27 z - 27 = 0
1 3 9 More than 9...approach for such questions ? @TheEnvingineer @john1237ec @CatAakshi
A train an hour after starting meets with an accident which detains it for an half an hour then it proceeds with speed of 3/4 of original speed and reaches the destination 3.5 hours late. Had the accident occurred 90 km farther, it would have reached the destination 3 hrs late. Find the length of the trip in kms
a) 600 b) 400 c) 650 d) None of these
A two digit number is divisible by 3 and 4 and the difference between its unit's digit and tens digit is equal to 4. Then the number is?
The doubt here is whether we should consider this as absolute difference(two answers then) or just difference(only one answer)? what should be done in this case or similar cases when it isn't specified?
Somebody explain this
In the questions below, each question has two statements A and B following it. Mark your answer as
(1) if the question can be answered from A alone but not from B alone.
(2) If the question can be answered from B alone but not from A alone.
(3) if the question can be answered from A alone as well as from B alone.
(4) if the question can be answered from A and B together but not from any of them alone.
(5) if the question cannot be answered even from A and B together.
A certain number of players participated in a tournament, played according to the following rules. The number of players at any stage is denoted as N.
(i) if N is even, the players are grouped into N/2 pairs.The players in every pair play against each other.The resulting winners move on to the next round.
(ii) If N is odd one player is allowed to move on to the next round. He is said to be given a bye. The remaining N - 1 players are grouped in to (N-1)/2 pairs who play against each other. The resulting winners move on to the next round. The players who lose are eliminated from the tournament. From the rules above, it follows that if there are N players in a round, then N/2 players move on to the next round if N is even and (N-1)/2 players move on to the next round if N is odd.This process continues until the final round,which is played between two players. The winner in this round is the champion.
1) Find the number of matches played by the champion.
A. In the first round, there were 169 players.
B. The champion was given a bye only once.
2) The number of players in the first round was M where 129
A. One player received a bye while moving fromthe third to the fourth round.
B. Only one player received a bye in the entiretournament.
The number of positive integers valued pairs (x. Y ) satisfying 4x-17y=1and x
Company XYZ prints 5000 copies of a magazine for Rs. 5, 00, 000 every month. In the July issue of the magazine, XYZ distributed 500 copies free. Besides, it was able to sell 2/3 of the remaining magazines were sold at the printed price of the magazine (which was Rs. 200). Find the percentage profit of XYZ in the magazine venture in the month of july (assume a uniform 20% of the sale price as the vendore's discount and also assume that XYZ earns no income from advertising for the issue)