How many 6 lettered words are possible which uses only three distinct letters T, G, C at most. Also two T's never appear together in the word anywhere.
For example: TGGG is a valid 4 lettered such word but TGTT is not.
A multiple of 2008 has of the form mm...m which the digit m appeared n times (base 10 is used in here.) Find smallest integer values of m and n.
The number of integer solutions for the equation x+y+z+t=20, where x,y,z,t are all greater than all equal to -1 (x,y,z,t >= -1) is
a)23 C 3
b)20 C 3
c)21 C 4
d)none of these
If X, Y are real numbers satisfying X > 0, Y > 0 and X + Y ≤ 6, then which of the following is not necessarily true?
3 X + 4Y ≤ 35
3X + 4Y ≤ 21
2X + 3Y ≤ 23
2X + 3Y ≤ 25
a dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from wholesaler and sells them 10% less per kg to customer. what is the overall profit %?
Scrabbler marks up the prices of sweets by 40% and he sold only 40% of those at this price. he sells the half at 14.28% discount and rest h at 25% discount. what is the net profit made by @scrabbler on his birthday?
Has anyone solved final level questions from the chapter - Time and Work ... Sarvesh Varma?I have some doubts
@scrabbler sir sells a painting to @Dexian at 4/5th tha rate of profit at which dexian sells it to @jaspunit . further jaspunit sells it to @pratyush9811 at half the rate of profit at which scrabbler sir sold it to dexian. If jaspunit earns profit of10% by selling it to pratyush9811 for Rs. 2805. What is CP of paining for Dexian?
A dishonest dealer @jaspunit cheats wholesaler @Dexian and honest customer like @scrabbler . jaspunit purchases 19% more from dexian and sells 15% less while selling to gullible scrabbler. what is the profit % by selling goods at CP?
70% of the students who joined xyz last year play football, 75% play cricket, 80% play basketball and 85% play carrom.
Q1 - What is the maximum percentage of students who play at most two of the four games?
plz help not understanding the language
In an island, which had a total population of 55009, a war was fought between 'Benos' and 'Malos' the only tribes residing in the island. During the war every 'Benos' fought with a different number of 'malos'. One of them fought with exactly 140 'Malos', a second one fought with exactly 141 'Malos', a third one fought with exactly 142 'Malos', a fourth one with with exactly 143 'Malos' and so on till one of them fought with every 'Malos' residing in the island. Find the number of 'Malos' residing in the island.
- 27574
- 30000
- 27435
- 33000
0 voters
Shortcut that can be used while findin last 2 digits of a number
I am no QA expert but found this technique and felt i should share with all of you.
Some of you might already known this, and this is just for those who might now know the same
the orignal article on finding last 2 digits is here
I am no QA expert but found this technique and felt i should share with all of you.
Some of you might already known this, and this is just for those who might now know the same
the orignal article on finding last 2 digits is here
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No doubt the most definitive work ever
but just to save time on the already preached way above
Adding euler theorem to it we can shorten our time
but just to save time on the already preached way above
Adding euler theorem to it we can shorten our time
23^283
Normal way
(23)^283
(23)^283
=((23)^4)^70*(23)^3
=(41)^70*(23)^3
= (01)*67
=67
shortcut
shortcut
last 2 digits is division by 100
so => last 2 digits of 23^283
euler (100)=40
so
euler (100)=40
so
23^283=23^3
=67
PS: not applicable when numerator n denominator are co prime
hope that helps
=67
PS: not applicable when numerator n denominator are co prime
hope that helps
Find the number of integral solutions for the equation |x|+|y|+|z|=10.
a)402
b)202
c)502
d)304
1) find the remainder when 41^97 is divided by 12, plz solve by Euler's concept in detail.
2)
find the remainder when 43^37 is divided by 13,
Please help out with this!
128 player tournament on a knock out basis. Players seeded from 1 to 128. In the first round, player seeded 1 will play against player seeded 128 which is designated as Match 1, player seeded 2 will play against player seeded 127 which is match 2, etc. In the second round, winner of match 1 will play against winner of match6, and winner of match 2 plays against winner of match 63, and so on in succeeding rounds also.
Which of the following players could have faced the player seeded 2 in the quarterfinals?
seed 16, seed 63, seed 4, seed 10?There are 4 students in a class. A teacher wants them to each secretly choose a partner for a group project. If everyone independently choses a partner randomly, the probability that everyone choses a partner who chose him/her ?
In triangle ABC, ∠BAC=36∘ and ∠ABC=66∘. Let Γ, with center O, be the incircle of triangle ABC. Let points D and E be the points of tangency between Γ and lines AB and AC, respectively. What is the acute angle between lines CO and DE (possibly extended)?
For how many integers n with |n|