Hey guys there is a free National CMAT mock competition happening on 18th August 2013. Here is the link
3^5^7/41 leavesa remainder
A set S consists of 143 natural numbers, each of which is a perfect cube. The maximum number of elements of S that one can always find such that each of them leaves the same remainder when divided by 13 is
a)11
b) 31
c) 33
d) 29
with solution...Find the number of four-digit numbers that are divisible by 30 and 35 but not by 140.
a) 21
b) 22
c) 43
d) 44
Find the sum of the digits of the least natural number P, such that the sum of the cubes of the four smallest distinct divisors of P equals 2P.
A.
7
B.
8
C.
9
D.
10
Is there any other method apart from substitution?Find the last two digit of: 15*37*63*51*97*17.
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someone pls solve this . this was already posted but there was no solution..
guys, please help me understand what is wrong with the use of Fermat's theorem to solve this question.
What is the highest possible value of 'n' for which 3^1024 – 1 is divisible by 2^n?
1.) 13 2.)10 3) 11 4)12
Which of the following is the largest?
(a) 5^6 * 6^23 * 10^28 * 55^22
(b) 22^22 * 2^28 * 5^56 * 3^24
(c) 2^50 * 5^34 * 15^23 * 11^22
(d) 33^23 * 2^50 * 5^56
Please post your approach as well !
the remainder when 4^90 is divided by 6
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the last digit of 108^107^106.......^1 is
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last digit of 108^107^106......^1
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What is the remainder obtained when 43^101 + 23^101 is divided by 66?
In a class of 96 students, each student opts for at least one of the three subjects – Physics, Chemistry and Mathematics. It is also known that: (i) The number of students who opt for Physics only is equal to the number of students who opt for Mathematics only and is also equal to twice the number of students who opt for both Mathematics and Physics but not Chemistry. (ii) The number of students who opt for exactly two subjects is 25. (iii) The number of students who opt for Chemistry is 31. (iv) Among those who opt for Chemistry, 13 students opt for at least two subjects.
1.If the number of students who opt for Mathematics is the maximum among the three subjects, then what is the maximum possible number of students who opt for both Physics and Chemistry but not Mathematics?
a. 5 b. 6 c. 7 d. cannot be determinedThe work by a woman in 8 hr is equal to the work done by a man in 6 hrs and by a boy in 12 hr. If working for 6 hr per day 9 men complete the work in 6 days then in how many days 12 women , 12 men and 12 boys can complete the same work working 8 hrs per day??
Q.If you form a subset of integers chosen from 1-3000 such that no 2 integers add upto a multiple of 9.what can be the max number of elements in this subset.
I saw the solution in arun sharma but din understand why only 1 multiple of 9 is taken n not the rest
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n is a number such that 2n has 28 factors, and 3n has 30 factors. How many factors does 6n have?
in a number system the product of 44 and 32 is 2332. what is the sum of 44 and 32 in that number system
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1) Four runners start running simultaneously from point on a circular track and take 400 seconds, 300 seconds, 200 seconds, and 150 seconds respectively to complete one revolution. How long they take to meet at the starting point?
A) 23 Min. B) 20 Min. C) 15 Min. D) 25 Min.
1) P can do a certain work in 4 days and Q can do the same work in 12 days. They work together few days after which P leaves and Q alone completed the remaining work. If it takes 6 days to complete the entire work, after how many days does P quit?
A) 2 days B) 3 days C) 4 days D) 5 days