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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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A man wants to cut three lengths from a single piece of board of length

91 \mathrm{~cm}

. The second length is to be

3 \mathrm{~cm}

longer than the shortest and the third length is to be twice as long as the shortest. The possible length of the shortest board, if the third piece is to be at least

5 \mathrm{~cm}

longer than the second, is

View answer and explanation

Correct option: B

greater than or equal to

8 \mathrm{~cm}

but less than or equal to

22 \mathrm{~cm}

The correct answer is B (greater than or equal to 8 cm but less than or equal to 22 cm) because the length of the shortest board must satisfy two inequalities derived from the given conditions.

More Questions from SEQUENCE OF SERIES

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

, then find the following
(i)

{A} \cup({B} \cap {C})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

are in G.P. and

b,y,c

are in G.P., then

{x^2},{b^2},{y^2}

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

is expressed as a polynomial in

y

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

y=x-2

\sum\limits_{{i=0}}^{2012} a_i

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

\log \left(\frac{a}{3 b}\right)

A P

a, b

G P

a, b, c

are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is

\frac{3}{4}

of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is