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(#M40015642) MBA QUESTION permutations and combinations, probability Keep an EYE

In a staircase there are 4 steps. A person can jump one step, 2 steps, 3 steps or all 4 steps. In how many ways can he reach the top?If sumone cud post the approach, it wud be gr8

1) 2
2) 4
3) 6
4) 8
5) 10

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(#M40015643) MBA QUESTION time speed and distance, work, alligations & mixtures Keep an EYE

Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?

1) 4
2) 7
3) 8
4) 10

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(#M40015646) MBA QUESTION permutations and combinations, probability Keep an EYE

In class X final examination, 70 students got distinction in science, 83 in Math’s, 51 in social studies and 35 in English. Three students got distinction in all the subjects. 5 got distinction in science, social studies and maths only. Three got distinction in social studies, Maths and English only. Two got distinction in science, social studies and English only, 15 got distinction in science and social studies. If the distinction in observed only in these mentioned pairs and triplets, then find the number of students getting distinction in at least one of the given subjects?

1) 195
2) 160
3) 200
4) 140

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(#M40015645) MBA QUESTION number systems, progressions Keep an EYE

What is the co-efficient of x^18 in (x+x^2+x^3+.....+x^6)^4 ?

1) 60
2) 70
3) 80
4) 90
5) 100

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(#M40015647) MBA QUESTION number systems, progressions Keep an EYE

A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum number of ‘n’ cuts. If he wants to maximize the number of identical diamond pieces making same number of n cuts to it. What is the maximum number of such diamond pieces?

1) 1000
2) 2000
3) 1331
4) none

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(#M40015649) MBA QUESTION time speed and distance, work, alligations & mixtures Keep an EYE

There is a work to be done by three friends A,B,C Three of them take 5 hours less than A alone would have taken.one third that B alone would have taken and two ninths of the time C alone would have taken.How long does it take for the three of them to finish the work?

1) 3 hours
2) 4 hours
3) 5 hours
4) none of these

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(#M40015650) MBA QUESTION mensuration, geometry & co-ordinate geometry Keep an EYE

F(x) is a cubic polynomial and the coefficients of F(x) are rational. If the graph of F(x) touches the x-axis, then how many rational roots does F(x) = 0 have?

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

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(#M40015651) MBA QUESTION mensuration, geometry & co-ordinate geometry Keep an EYE

ΔABC is an equilateral triangle. Point D is the place where the medians of the ΔABC meet. Find the ratio of the areas of two square DJKL and ADFE to the area of the ΔABC.

1) 4 : 3√3
2) 5 : 3√3
3) 3√3 : 4
4) 1 : 2

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(#M40015652) MBA QUESTION time speed and distance, work, alligations & mixtures Keep an EYE

A and B start simultaneously from p and q towards q and p resp.The speeds of A and B are 25kmph and 32kmph resp.They meet at R and immediately return to their respective starting positions after exchanging their speeds.If the distance between P and Q is 2000km,then the difference in times taken by A and B to reach their respective starting positions is:

1) 15.5 hrs
2) 20hrs
3) 16hrs
4) 17.5hrs

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(#M40015655) MBA QUESTION algebra, quadratic equations, inequalities, functions Keep an EYE

Let S denote the sum of three natural numbers. Let D denote the sum of the products of them taken two at a time. Let P denote their product. If 3S + D = 2P, how many combinations are there for the numbers?

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

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