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MBA Latest Exam Pattern - MBA Sample Question with Solutions Page 19

(#M40014047) MBA QUESTION number systems, progressions Keep an EYE

The left most digit of an integer of length 2000 digit is 3. In this integer , any 2 consecutive digits must be divisible by 17 or 23. The 2000th digit may be either x or y. What is the values of x+y?

1) 6
2) 7
3) 8
4) 12
5) 5

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(#M40014048) MBA QUESTION permutations and combinations, probability Keep an EYE

There are 11 books on a shelf. How many ways are there to choose 4 of them so that no two of the chosen books stand next to each other?

1) 70
2) 165
3) 495
4) None of these

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(#M40014049) MBA QUESTION number systems, progressions Keep an EYE

There are two Arithmetic Progressions A and B such that their nth terms are given by
An = 101 + 3(n – 1) and Bn = 150 + (n – 1), where n is the set of natural numbers. The first 50 terms
of A and B are written alternately i.e.
A1B1A2B2…..A50B50. What is the remainder when the number
so formed is divided by 11?

1) 0
2) 1
3) 9
4) 10

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(#M40014050) MBA QUESTION algebra, quadratic equations, inequalities, functions Keep an EYE

what is the minimum value of sin^6 ( x ) + cos^6( x ) ?

1) 1/3
2) 1
3) 0
4) none

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(#M40014051) MBA QUESTION mensuration, geometry & co-ordinate geometry Keep an EYE

A rectangle is drawn so that none of its sides has length greater than
'x'.all lengths lesser than x are equally likely. the chance that the
rectangle hs its diagonal greater than x is (in %) ?

1) 29.3
2) 21.5
3) 66.66
4) 33.33

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(#M40014052) MBA QUESTION averages, percentages, profit loss and interest Keep an EYE

A reduction of 40% in the price of bananas would enable a purchaser to purchase 50 bananas more for Re. 1. Find the reduced price per dozen and the initial price (in paisa).1) 8, 13 1/3 2) 10, 16 2/3 3) 9, 16 1/3 4)None of these

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

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(#M40014053) MBA QUESTION algebra, quadratic equations, inequalities, functions Keep an EYE

if log (x^2)base(5x+6)< log (5x+6)base(5x+6),then??? (good one)

1) x<-6/5 or x>6
2) -1<x<0 or 0<x<6
3) -6/5<x<-1 or -1<x<0 or 0<x<6
4) none of these

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(#M40014054) MBA QUESTION number systems, progressions Keep an EYE

How many times would zero be used while writing all the natural numbers from 1 to 63 in the Binary System?
(a) 32 (b) 80 (c) 111 (d) 129

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

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(#M40014055) MBA QUESTION mensuration, geometry & co-ordinate geometry Keep an EYE

What is the ratio of area of an equilateral triangle and total surface area of a cuboid where the equilateral triangle is made by taking side equal to the longest rod that can be placed in the cuboid 12 m long, 9 m broad and 8 m high?

1) 289√3 : 2208
2) 17√3 : 36
3) 17 : 29
4) 29√3 : 2208
5) None of these

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(#M40014056) MBA QUESTION mensuration, geometry & co-ordinate geometry Keep an EYE

The surface of a right circular cone is painted black. The cone has height 4 and its base has radius 3. It is cut into two parts by a plane parallel to the base, so that the volume of the top part (the small cone) divided by the volume of the bottom part (the frustrum) equals the painted area of the top part divided by the painted are of the bottom part. The height of the small cone is

1) 8/3
2) 15/4
3) 5/2
4) None of these

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