1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If a, b, c are in G.P. and log a $$-$$ log 2b, log 2b $$-$$ log 3c, log 3c $$-$$ log a are in A.P., then a, b, c are the lengths of the sides of a triangle which is

A
acute angled
B
obtuse angled
C
right angled
D
equilateral
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let $${a_n} = {({1^2} + {2^2} + .....\,{n^2})^n}$$ and $${b_n} = {n^n}(n!)$$. Then

A
$${a_n} < {b_n}\forall n$$
B
$${a_n} > {b_n}\forall n$$
C
$${a_n} = {b_n}$$ for infinitely many n
D
$${a_n} < {b_n}$$ if n be even and $${a_n} > {b_n}$$ if n be odd
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The number of zeros at the end of $$\left| \!{\underline {\, {100} \,}} \right. $$ is

A
21
B
22
C
23
D
24
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$|z - 25i| \le 15$$, then Maximum arg(z) $$-$$ Minimum arg(z) is equal to

(arg z is the principal value of argument of z)

A
$$2{\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
B
$$2{\cos ^{ - 1}}\left( {{4 \over 5}} \right)$$
C
$${\pi \over 2} + {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
D
$${\sin ^{ - 1}}\left( {{3 \over 5}} \right) - {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
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