1
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

Read the following lines carefully and answer the questions that follow.

I am dotted silver threads dropped from heaven By the gods. Nature then takes me, to adorn Her fields and valleys.

I am beautiful pearls, plucked from the Crown of Ishtar by the daughter of Dawn To embellish the gardens.

The rain calls itself the 'dotted silver threads' as

A
the shimmering drops fall one after the other
B
it ties heaven and Earth
C
it dots the Earth with shimmering water
D
it decorates the fields
2
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

Let $$a_n$$ be a sequence of numbers which is defined by relation $$a_1=2, \frac{a_n}{a_{n+1}}=3^{-n}$$, then $$\log _2\left(a_{50}\right)$$ is equal to (take $$\log _2 3=1.6$$ )

A
1960
B
1275
C
1961
D
1276
3
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

The value of $$\frac{1}{2}\left(\frac{1}{5}\right)^2+\frac{2}{3}\left(\frac{1}{5}\right)^3+\frac{3}{4}\left(\frac{1}{5}\right)^4+\ldots . . \infty$$ is

A
$$\frac{1}{4}+\log _e\left(\frac{4}{5}\right)$$
B
$$\frac{1}{20}+\log _e\left(\frac{4}{5}\right)$$
C
$$\frac{1}{20}-\log _e\left(\frac{4}{5}\right)$$
D
$$\frac{1}{20}+\log _e\left(\frac{6}{5}\right)$$
4
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

Out of 9 consonants and 4 vowels, how many words of 4 consonants and 3 vowels can be formed?

A
181440
B
1270080
C
362880
D
2540160
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