what is the smallest integer n for which any subset of {1,2,3.....20} of size n must contain atleast two numbers that differ by 8?
options
12
13
8
16
what is the smallest integer n for which any subset of {1,2,3.....20} of size n must contain atleast two numbers that differ by 8?
options
12
13
8
16
if 200! ends with 'n' zeros when written in base 27, then n=?
options
36
33
32
27
'xyzw' is a four-digit number where 'x' is even, 'y' is the smallest possible odd number, 'z' is the greatest possible prime number and 'w' is a multiple of 3. If 'xyzw + n' is divisible by 11, then 'n' cannot be:
a.)6711 b.)6717 c.)9711 d.)9717
Qs 23 and 24.I'm completely lost. Also I have solved Q25 by considering all the possibilities. Is there a shorter method for Q25?
A B C are all travelling from Hyderabad to Chennai. The ratio of their speeds is 1:2:1 respectively. C was the first to depart from Hyderabad, then A and finally B. B started at 10:00 a.m. He crossed A at 1:00 p.m. and C at 3 p.m. He then reaches Chennai and heads back towards Hyderabad immediately. He meets C at 10 p.m. When did B reach Chennai?
Mr.x a very industrious person wants to establish his own unit .for this he needs an instant loan of rs.5,00,000 and every 5 years he requires an additional loan of rs. 1,00,000.if he had to clear all his outstandings in 20 years and he repays the principal of the first loan equally over the 20 years. find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10% p.a simple interest. a.rs 560,00 . b.rs.540,000 c.525,000 d.500,000
Each day on Planet M is 10 hours, each hour 60 minutes and each minute 40 seconds. The inhabitants of Planet M use 10 hour analog clock with an hour hand, a minute hand and a second hand. If one such clock shows 3 hours 42 minutes and 20 seconds in a mirror what will be the time in Planet M exactly after 5 minutes? A. 6 hours 18 minutes 20 seconds B. 6 hours 22 minutes 20 seconds C. 6 hours 23 minutes 20 seconds D. 7 hours 17 minutes 20 seconds E. 7 hours 23 minutes 20 seconds
Please explain 18
Q21. Guyz please help solve this.
#TSD Please post the approach also 😃
The numbers 1,2,3..,n-1,n are written in that order and numbers in the odd places are struck off.The Remaining Numbers are considered and same process is repeated until there is only one number left. (!) If n=1980,find the number that is left (2) if final number left is 2048, find the maximum value of n.
a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible ?
A and B are stationed at two points Q and R respectively on a flowing river.The direction of flow of river is from Q to R.When A and B swim towards each other ,they meet at P,which is at a distance of 20m from point R.When A swims towards B and B swims away from A,they meet at S, which is at a distance of 40 m from point R.B's speed in still water is 5 times the speed at which the river flows. On a particular day A and B start swimming towards each other simultaneously from points where they are stationed.When A was 'y' m away from the point P,B turns back and they meet at point R.What is the value of 'y'.
How to solve this types of problem?
What should be the way to proceed?
(32^32^32)/9 will leave a remainder?
4
7
1
2
There is a cistern which has 4 equidistant leaks with one being right at the bottom and one at 1/4th mark from the top. A tap is opened which can fill a cistern in 120 hours (without the leak). Ratio of efficiency of each leak to the tap is 1:6. In how much time will the tank be filled?
Can anybody please solve 4th one?
Can anybody solve 7th one? Kind of stuck here.