Quantative Ability Questions
November 4th, 2009 Posted in Daily Question & Gyan
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1. A number when divided by 11 leaves a remainder of 5, when divided by 15 leaves a remainder of 11 and is exactly divisible by 19. How many such numbers are there between 1000 and 10,000?
a. 3
b. 4
c. 5
d. 6
2. What is the product of coefficients of the remainder when x100 – 4x98 + 5x + 6 is divided by x3 – 2x2 – x + 2?
a. 6
b. 10
c. 5
d. None of these
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November 5th, 2009 at 12:40 am
ans 1) a
anS 2) a
November 5th, 2009 at 5:33 am
1)a
As the required numbers will be of the form (11*15*19)=3300-19=3281n
as there are 3 nos. possible between the given range, hence ‘a’
2)a
As always 5x+6 will come in the remainder apart from anything else, and higher powers of x will gradually decrease as we proceed. Now in the given expression we have powers of x as 100, 98 – differnce of 2. while dividing we also have to deal with x^99=> at the end latest remainder will be in powers 3,2,1,0. which will be divisible accordingly. Then we are left with 6.
November 5th, 2009 at 6:25 am
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November 6th, 2009 at 1:02 am
hey plzz explain d soln in more detail .
1. As the required numbers will be of the form (11*15*19)=3300-19=3281
didnt get ..
2.always 5x+6 will come in the remainder ??
November 6th, 2009 at 3:07 am
Hey Friends,
First Question is answered correctly.
But the answer of second question is not (a) but it’s (b) 10
Try giving a detailed explanation of the above questions
We will give the detailed solution tomorrow.
November 7th, 2009 at 12:42 am