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Q #81
:

Cognizant Quants Question


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From a deck of 52 cards, a card is drawn at random. If

P( A )= Probability that the card is black,

p( B )= Probability that the card is a diamond or a club and

p( C )= Probability that the card is a jack or a care of spade,

Then which of the following holds true?


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Prob of Card is black=1/2

Probability that the card is a diamond or a club= ½

Probability that the card is a jack or a care of spade= 4/13

p (A) = p (B) > p(C)



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Q #82
:

Cognizant Quants Question


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Carla bought 45 dozen oranges at Rs. 60 per dozen. Ten percent of oranges were rotten and could not be sold. At what rate should she sell the remaining oranges, so as to earn a profit of at least 10%?
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45-4.5=40.5 are not rotten

CP = 45*60 = 2700

Profit = 10%

SP = (2700*110)/100 = 2970

Rs. 2970 is the selling price of 40.5 dozen oranges.

Price per orange = 297040.512 = Rs. 6.1

Rs. 6.1 gives a profit of 10% so Rs. 6.5 will give a profit of more than 10% and this satisfies the given condition.



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Q #83
:

Cognizant Quants Question


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If we permute 5 letters of the word ‘lemon’ in 5!ways. In how many words vowels do not come together?
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5!-4!*2!=72

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Q #84
:

Cognizant Quants Question


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An aeroplane flies along the sides of an equilateral triangle with speed of 300 km/hr, 240 km/hr. The average speed of the plane while flying around the triangle is;
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let each side of triangle is xkm,

and the avg speed =ykmph

so,x/300+x/200+x/240=3x/y

=>(4x+6x+5x)/1200=3x/y

=>y=(1200*3)/15=240kmph



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Q #85
:

Cognizant Quants Question


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The number of 5 - digit numbers that can be formed from 4, 2, 0, 7 and 3 are:
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4*4*3*2*1 = 96 (without repetition)

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