A is the set of the first 100 natural numbers. What is the minimum number of elements that should be picked from A to ensure that atleast one pair of numbers whose difference is 10 is picked?
The answer is 51.
Why is the answer not 11? because that will give us 1 pair 1,11 whose difference will be 10 and that's minimum too
Answer for 59th question and thanks!
Kindly help. Is there any direct formula?
.A person gets Rs.3000 if he sells either article A at 10% profit and article B at 20% loss or article A at 10% loss and article B at 20% profit. The cost of A is? Explain
An equilateral triangle ABC of side 40 cm is cut into two pieces in such a way that one piece is an equilateral triangle containing the vertex A and the second piece is a trapezium. Two such trapeziums are placed beside each other to form a parallelogram. What is the perimeter (in cm) of the parallelogram .
I am not able to visualize the meaning of ' two such trapeziums are placed beside each other to form a parallelogram'
Question no 8 anyone and describe also
A vessel is full of milk. 10 litres of milk is taken out and replaced by water. Again the process is followed and now 15 litres of the mixture is replaced by water. After this the final ratio of milk to water becomes 4 : 5. What is the capacity of the vessel in litres? Options A. 65 B. 45 C. 40 D. 30
if |x| – [x] = 8, where |x| denotes the absolute value of x and [x] denotes the greatest integer less than or equal to x then what will be the value of x ..I have sol with me but not able to understand it ...so plz if anyone can help
Does CAT 2017 Demo test, also provide solution and percentile ranking etc after submitting the test?
How to find the unit digit of a no contains power of a power? E.g 12^23^45
Can anyone explain ?
Two cars P and Q are moving at uniform speeds, 50 km/hr and 25 km/hr respectively, on two straight roads intersecting at right angle to each other. P passes the intersecting point of the roads when Q has still to travel 50 km to reach it. What is the shortest distance between the cars during the journey?
How to form the equation?
68 solve plz
AIMCAT question:
At the farewell party of a certain class, having n students, if each student of the class gave one gift each to exactly k other students of the class, the number of students in the class who received at least one gift each cannot be less than?
1)k
2) k+1
3) n-k
4)n-1
Please explain
Guys, don't you think, this solution is incorrect?
Please help with Q68
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How many different integer value of [ x^2 / 2014] are possible where x can be any value from 1 to 2014?
[x] denotes the greatest integer function.