Find the no of integral solutions of
x^2 - y^2 = 45How many natural numbers N less than 100 satisfy the condition that the sum of the natural numbers from 1 to N is divisible by 15?
20
25
30
26
find last 3 digits of N = 10! + 11!...+50!
Find the no. of 3 digit no.s that can b expressed as sum of 4 consecutve, 5 cons, and 7 cons, positve integers.
In an exam, each question has five options out of which exactly one is correct. Puneet randomly marks an answer option for each question. What should be the minimum number of questions in the test such that Puneet's probability of getting exactly two answers correct is at least 0.2?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
PLS POST APPROACH AS WELL
find the sum of digits of the least n satisfying the condition that n! has 2394 zeros-
Options- 22, 27,26,21
Apprch?? @ahsish9virgo
All possible 6-digit numbers are formed using 1, 1, 2, 3, 4, 5 exactly once. All these digits are arranged in ascending order in a row to form a single number. What will be the 1730th digit from the right of this number?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Certain numbers of person are surveyed in the society regarding the viewer ship of TV Channel. 78% like Sony TV, 83% like Discovery, 67% like NDTV, 59% like Star Sports, 69% like History Channel and 72% like Zee Cinema.
1. Find the minimum percentage of surveyed population who likes exactly Four Channels?
2. Find the minimum percentage of surveyed population who likes at most three Channels?
3. Find the maximum percentage of surveyed population who likes at most two Channels?
4. Find the minimum percentage of surveyed population who likes at least Four Channels?
P.S : Don't know the answers. kindly post the approach as well
Riya has 4 different toys and Priya has 7 different toys. Find the no. of ways they can exchange their toys while keeping their original no. ?
Puys help me with the approach to this problem.😟
pls post approach as well.
"The hour hand on the my watch moves at the correct speed, but the minute hand moves one and a half times as fast as it should. Yesterday, it showed the correct time at 3 p. m. When did it next show the correct time?"
Not satisfied with the OA given.....ur take guys
Suppose there are 8 teams in a competition , with each team playing every other teams twice. If a team wins they get 2 points and if they lose they get 0. Top 4 teams qualify for the semi final. When the points get tied , the team with higher run rate get higher rank. Assuming that there were no ties answer the following :
1. what is the minimum points required for a team so that they will definitely qualify for the semi final ?a. 18 b. 20 c. 22 d. 24
A raft and a motorboat left town A simultaneously and traveled downstream to town (The raft always moves at the same speed as the current, which is constant.) The motorboat arrived at town B,immediately turned back, and encountered the raft two hours after they had set out from A. How much time did it take the motorboat to go from A to B? (Assume that it travels at a constant speed)
1. Six people are to be seated on six chairs around a circular table where five chairs are blue in colour and one is green. In how many ways can these people be arranged?
1. 720 2. 360 3. 60 4. 120
The sum of N consecutive natural numbers is 750. How many values can N take?
pls post approach as well.
Why is this happening ? Something to do with signs ? 
A number of the form ababac is divided by 37. The remainder can be
1)7
2)13
3)19
4)23
€‹If b*b-4*a*c0 then (b+1)*(b+1)-4*a*c is 0,>1