1
WB JEE 2021
+2
-0.5
Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while $$\log \left( {{{5c} \over {2a}}} \right),\log \left( {{{7b} \over {5c}}} \right),\log \left( {{{2a} \over {7b}}} \right)$$ are in A.P. Then a, b, c are the lengths of the sides of
A
an isosceles triangle
B
an equilateral triangle
C
a scalene triangle
D
a right-angled triangle
2
WB JEE 2020
+1
-0.25
If a and b are arbitrary positive real numbers, then the least possible value of $${{6a} \over {5b}} + {{10b} \over {3a}}$$ is
A
4
B
$${6 \over 5}$$
C
$${10 \over 3}$$
D
$${68 \over 15}$$
3
WB JEE 2020
+1
-0.25
Let I(n) = nn, J(n) = 13.5 ......... (2n $$-$$ 1) for all (n > 1), n $$\in$$ N, then
A
I(n) > J(n)
B
I(n) < J(n)
C
I(n) = J(n)
D
I(n) = $${1 \over 2}$$J(n)
4
WB JEE 2018
+1
-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
A
n $$-$$ m + 1 : m
B
n $$-$$ m + 1 : n
C
n : n $$-$$ m + 1
D
m : n $$-$$ m + 1
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