WB JEE 2020 | Sequence and Series Question 30 | Mathematics

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

If a and b are arbitrary positive real numbers, then the least possible value of $${{6a} \over {5b}} + {{10b} \over {3a}}$$ is

$${6 \over 5}$$

$${10 \over 3}$$

$${68 \over 15}$$

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

Let I(n) = nⁿ, J(n) = 13.5 ......... (2n $$ - $$ 1) for all (n > 1), n $$ \in $$ N, then

I(n) > J(n)

I(n) < J(n)

I(n) = J(n)

I(n) = $${1 \over 2}$$J(n)

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

Given that n numbers of arithmetic means are inserted between two sets of numbers a, 2b and 2a, b where a, b $$ \in $$ R. Suppose further that the mth means between these sets of numbers are same, then the ratio a : b equals

n $$-$$ m + 1 : m

n $$-$$ m + 1 : n

n : n $$-$$ m + 1

m : n $$-$$ m + 1

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then, the common ratio of this GP series is

$${\sqrt 5 }$$

$${{\sqrt 5 - 1} \over 2}$$

$${{\sqrt 5 } \over 2}$$

$${{\sqrt 5 + 1} \over 2}$$

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