For how many 4 digit numbers is the thousands digit greater than tens digit and tens digit greater than units digit?👍
840
1200
960
1440
A and B run a 540m race. If A will start running for 30s before B starts to run, A will win by 6s, whereas if B will start running for 36m before A starts to run, B will win by 260m. Find the speed of A and B (assuming they run at constant speed)
I don't have the answer....so post your solution
Two cars start simultaneously from A and B towards B and A respectively.Once they reach their destinations they turn around and move towards the other city.The 2 cars continue shuttling in this manner for exactly 20 hours.Speed of the car starting from A is 60 Km/hr and speed of the car starting from B is 40km/hr and the distance b/w A and B is 120 KM.Find the no of times the two cars meet.
Find the minimum value of h^2+k^2. Where 3h-4k+45=0.
Hello Friends,
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The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and also has no positive factor in common with n other than 1. If p is a prime number then f(p) = ?
Two cars start simultaneously from A and B towards B and A respectively.Once they reach their destinations they turn around and move towards the other city.The 2 cars continue shuttling in this manner for exactly 20 hours.Speed of the car starting from A is 60 Km/hr and speed of the car starting from B is 40km/hr and the distance b/w A and B is 120 KM.Find the no of times the two cars meet.
Check the attachment
They will meet 8 times.
How many four digit perfect squares are there such that if each of the digit is increased by 1, still the number remains a perfect square?
199^13^15^17/19 find remainder??
find the sum of all the four digit no which are formed by the digits 1,2,5,6
Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000 (inclusive). How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?
FORMULAE
Ques )
Sum of no.s of 5 digits formed by 0,1,2,3,4,5 ? (no repetition)
Okay, so here is my question!
12 Villages are divided into 3 zones with 4 villages per zone.
Telephone department connects the villages with telephone lines such that, every 2 villages of the same zone are connected with 3 direct lines, and every 2 villages belonging to different zones are connected with 2 direct lines.
How many direct lines are required?
Solution:
i) 3 * (4C2 * 3) = 54
ii) 3C2 (4C2 * 4C1 * 2) = 96
54+96 = 150
Approach please!
Thanks!
"How many primes cannot be expressed as a difference of squares of two natural numbers"?
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Raoul wants to create a weekly schedule for going to the gym. He wants to go to the gym the same three days each week, and he wants there to be at least one day in between each of his visits. How many different ways can Raoul schedule his weekly gym visits?
Details and assumptions
The 'start' date of the week doesn't matter, as this is a weekly event. For example, Raoul does not want to go to the gym on Sunday, Thursday, Saturday, since it means it would be in the gym on Saturday and Sunday of the following week.
-x^3 + 3x^2 + 2x + 1
now check x can be in the form of 5k, 5k+1, 5k+2, 5k+3, 5k+4
only 5k+1 form satisfies.
so 1/5
f(x)=24x^3+3x^2+7x+1 , what is d probab dat f(x) is divisible by 5 , given x is natural number???(khud banaya hai to galat ho sakta hai
)
Raoul wants to create a weekly schedule for going to the gym. He wants to go to the gym the same three days each week, and he wants there to be at least one day in between each of his visits. How many different ways can Raoul schedule his weekly gym visits?Details and assumptions
The 'start' date of the week doesn't matter, as this is a weekly event. For example, Raoul does not want to go to the gym on Sunday, Thursday, Saturday, since it means it would be in the gym on Saturday and Sunday of the following week.
leave 2 gaps between 3 visits. (1 gap between 2 consecutive visit)
now 5 options are left and we have to choose 3 days
5c3 = 10 ways
but remove cases when he goes Sat Sun => 3 ways
10-3 = 7 ways