The difference between the HCF and LCM of two natural numbers is 57. What is the minimum value of a+b?
if a+b-c=14, then find the value of 2b^c^2 + 2c^a^2 + 2a^b^2 - a^4 -b^4 - c^4
1.14
2.7
3.28
4.0
Mr.A rolls two dice and his score Is the sum of the nos on the die. Mr B rolls a dice and her score is the square of the number shown. Find the probability that B's score is strictly higher than A's score?
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On a 8x8 chessboard, a queen can move any number of squares horizontally, vertically and diagonally. Any square to which a queen can move to, is said to be under attack. If we place three queens on a chess board, what is the maximum number of squares that are not under attack.
A)20
B)24
C)28
D)32
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A trader cheats his customers by mixing good and bad quality rice in 3:2 ratio and makes 33% profit. When he mixes them in 4:1 ratio, profit is rs 25 per kg. In what ratio should he mix the 2 rice to make 100% profit?
If all sides of a triangle are increased by 12%.
1. percentage increase in the length of medians ?
2. percentage increase in area ?
In a game played by two people there were initially N match sticks kept on the table. A move in the game consists of a player removing either one or two matchsticks from the table. The one who takes the last matchstick loses. Players make moves alternately. The player who will make the first move is A. The other player is B.
The smallest value of N (greater than 5) that ensures a win for B is
(a) 7 (b) 6 (c) 10 (d) 8 60.
The largest value of N (less than 50) that ensures a win for B is
(a). 46 (b) 47 (c) 48 (d) 49
Source: CAT 1990
How to sum this up ??
1 +3+6+10+15+21+28+36 .......+210 ?
find the number of ways in which 10 players out of 14 players can be selected such that 3 particular player are always included and 2 particular players are always excluded?
- 34
- 36
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a thief escapes from prison and runs with speed of 40 m/min. a police officer starts following the thief after 5 mins with a speed of 50m/min. the officer has a dog that runs with speed of 60m/min. the dog runs to the thief and comes back to police to show the direction. it keeps moving to and fro between them, till the police catches the thief. find the distance travelled by dog in direction of thief?
let us assume that earth is a cube. what is the ratio of minimum distance that a person has to travel along the surface to get to a point diagonally opposite on the cuboid earth to the distance that he would travel on the spherical one? assume the length of side of the new earth is radius of earlier one?
a man is standing on the track near the rear end of a 400m long train when it is just about to enter the north end of 500m tunnel. if the train is moving at 25km/hr and the man is walking in the same direction at 5km/hr, then find the distance between man and the front end of the train (in metres) when the man reaches the south end of the tunnel?
On a certain day Ajay works at 11/7th of his usual rate of doing work and completes the work 28 minutes earlier than the usual time required. Had ajay worked at 7/11th of his usual rate of doing work, then the time taken by him to complete the work would have been how much more than the usual time required ??
In a schoo committee comprising 12 students, there are exactly 2 students from each of the classes from 7th to 12th. In how many ways a sub-committee of 4 members can be formed, such that no 2 students in the sub-committee belong to the same class??
Given below is the sequence of all the natural numbers which dont contain the digit '0'.1,2,3,4,5,6,7,8,9,11,12,13......What is the 200th term of this sequence?
a)238 b)240 c)236 d)242
How many times a dice must be thrown as as to get more than 90% chance of getting number 5 at least once .
Minimum value of
|x+1| + 2|x+2| + |x+3| ?
X has 24 factors and X*Y has 105 factors.What is the least possible number of factors Y can have??