how many natural numbers less than 1000 will have their sum of digits not more than 7?
In how many ways 4 distinct horses can pass through a finish line?(2 different horses can pass through a finish line in 3 ways)
Suppose a quadratic equation X^2+pX+q attains a minimum value of -9 at x=5 then What is the vale of f(9)??
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two tap x and y can fill a tank in 12min and 16 min respectively , both are opened together but some problem occurs due to this first one decreases flow rate by 7/8 and second one by 5/6 , and after some time problem solve and tank filled in 3mintues find time taken before full flow of tank?
4.5 min
5.4 min
8 min
Solution plz...
Let a & b be natural numbers, such that ab+1 is divisible by 24.Then a+b is divisble by?
options:
(a)2, 3, 12 only
(b)2, 8 only
(c)2 only
(d)3 only
(e)2, 3, 8, 12 only
Two natural numbers, m and n, are such that their least common multiple is 300. How many pairs of these numbers ( m and n) are possible?
1)37
2)38
3)75
4)None of these
Anwer should be 75 according to me but oa is given as none of these .
f(x) = min [g(x), h(x)] where g(x) = |x| and h(x) = x2 − 5x + 6.
For how many integer values of x is f(x) = h(x)?
PARAGRAPH :
King kai is training goku and his fellow saiyans to help them reach the level of super saiyans. For this he orderered goku to run on his planet on a track along the equator. The only source of energy for the saiyans are the senzu beans, which are available only at king kais house (the starting point of the track) The total number of beans available is 125. Each saiyan can carry a maximum of 20 beans at any point of time. However, 20 beans would take a saiyan only half the total distance. So king kai allowed goku to take the help of other saiyans, but with a caveat-the saiyans(including goku) can complete the task by utilizing only the minimum number of senzu beans needed
Note: If a senzu bean is broken , it will loose its power
The saiyans who help goku : -can help each other as well - can run in the reverse direction also -can return any number of times to king kais house for the beans - should return to king kais house – they cant stay on the track somewhere because of lack of senzu beans
1) Find out the minimum number of Senzu beans needed by the Saiyans (including Goku) 2) Also find out the minimum number of Saiyans whose help Goku would need in completing his task
A=626!-625! How many consecutive zeros in A?
in a triangle ABC ab=3 and ac=4 and angle A=60. find the length of angle bisector AD
X has conducted an analytical research for the upcoming IND-NZ ODI series. The probability of India winning first two ODIs is 75% and 50% respectively and a 15% chance of losing both the games. What is the probability (in percentage) of winning exactly one game?
The length of the minute hand of analogclock is equal to the length of the hour hand and both are completely indistinguishable from each other. The clock has another mechanism where it will display the correct time whenever Mr. X looks at it, but then it freezes completely, i.e., he is unable to see the movement of any of the hands. This clock is still (almost) perfectly usable. But, there are only a few specific times in a day where he is unable to look at the clock and be sure of the right time. If we assume that a day starts from 12 midnight to next 12 midnight, both inclusive. How many times in a day, he will not be able to figure out the correct time?
Consider an empty 10x10 square board similar to a chessboard, What is the maximum number of pieces that can be placed on the board such that one piece cannot attack another piece in one move? a) If the pieces are Knights b)If they are ROOKS c) if they are bishops ?
There are 12 holes made in the ground. At least 3 are to be filled with a red ball and the other holes can be filled with any colour ball. In how many different ways can all the holes be filled from a box of 5 red balls and 10 mixed colour balls?
A swimmer jumps from a bridge over a Canal and swims 1km upstream. After that first kilometre ,he passes a floating cork. He continues swimming for another half an hour and then turns around and swim back to the bridge. The swimmer and cork arrive at the bridge the same time. Swimmer maintained constant speed. How fast does the water in canal flow?
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0 voters
The length of the minute hand of analogclock is equal to the length of the hour hand and both are completely indistinguishable from each other. The clock has another mechanism where it will display the correct time whenever Mr. X looks at it, but then it freezes completely, i.e., he is unable to see the movement of any of the hands. This clock is still (almost) perfectly usable. But, there are only a few specific times in a day where he is unable to look at the clock and be sure of the right time. If we assume that a day starts from 12 midnight to next 12 midnight, both inclusive. How many times in a day, he will not be able to figure out the correct time?
Is there any easier way/trick to solve this question (mixture and aligation)
What is the smallest number which when divided by 7,8,9 leaves a remainder of 2,4,6 respectively?
How many different terms does the product (a+b+c+d+e+f)(c+d+e+f+g) have??Approach pls!!