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(#M40015591) MBA QUESTION permutations and combinations, probability Keep an EYE

A grandfather had a big bundle of hundred - rupee notes. He wanted to give his 3 grandsons some pocket money during the 10 days of Dushera. On the first day he gave them a total of three notes, on the second day a total of four notes and so on. (On the nth day he gave them a total of n + 2 notes.) If on each day, each grandson got at least one note, in how many ways could the grandfather have given the notes?
plz give approach

1) 11c2
2) 12c2
3) 12c3
4) non of these

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(#M40015592) MBA QUESTION number systems, progressions Keep an EYE

what is the remainder when 27! is divided by 29

1) 27
2) 01
3) 28
4) 02

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(#M40015595) MBA QUESTION algebra, quadratic equations, inequalities, functions Keep an EYE

Which of the following is not a possible value of ‘z’ where x = 2y + z and x and y are integers defined as

1) -26
2) 26
3) -27
4) 14

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(#M40015596) MBA QUESTION number systems, progressions Keep an EYE

X and Y belong to the set of positive integers.The probability that a randomly chosen value of y satisfies the equation |3x-13y|=2 is Please post ur Approach .Thnks

1) 1/8
2) 2/3
3) 3/13
4) cannot be determined

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(#M40015598) MBA QUESTION number systems, progressions Keep an EYE

Find 202nd digit from the right in the product of 4! X 5! X 6! ..... 71! Please share the approach as well

1) 0
2) 2
3) 3
4) 1
5) 4
6) 7

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(#M40015599) MBA QUESTION number systems, progressions Keep an EYE

From the first 20 natural numbers how many Arithmetic Progressions of five terms can be formedsuch that the common difference is a factor of the fifth term?(a) 16 (b) 22 (c) 25 (d) 26

1) a
2) b
3) c
4) d

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(#M40015600) MBA QUESTION algebra, quadratic equations, inequalities, functions Keep an EYE

Consider the function f(x) =(1- x)(-1) + (1 - x)(-2)+ (1 - x)(-3) + (1 - x)(-4) defined over the range 0 < x < 1. Then the number of real roots of f(x) = 2 is/are

1) 0
2) 1
3) 2
4) 4

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(#M40015601) MBA QUESTION number systems, progressions Keep an EYE

Some numbers can be expressed as the sum of three of their factors. E.g. 12 can be expressed as the sum of 2, 4 and 6. How many other such numbers are there which are less than 100?(a) 16 (b) 15 (c) 7 (d) 2

1) a
2) b
3) c
4) d

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(#M40015602) MBA QUESTION mensuration, geometry & co-ordinate geometry Keep an EYE

cot -1[{(1-sin a)^1/2+(1+sina)^1/2}/{(1-sina)^1/2- (1+sina)^1/2}]=..??

1) 2pie -a
2) pie-a/2
3) a/2 - 3pie
4) none of these

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(#M40015606) MBA QUESTION number systems, progressions Keep an EYE

fn ={ 2^n-1 + 1, n is odd 2^n-1 - 1,n is evenfind remainder when f1+ f2 + f3....f100 is divided by 127

1) 0
2) 91
3) 126
4) 3

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