1
JEE Main 2023 (Online) 13th April Evening Shift
Numerical
+4
-1
Change Language

Let $$[\alpha]$$ denote the greatest integer $$\leq \alpha$$. Then $$[\sqrt{1}]+[\sqrt{2}]+[\sqrt{3}]+\ldots+[\sqrt{120}]$$ is equal to __________

Your input ____
2
JEE Main 2023 (Online) 13th April Evening Shift
Numerical
+4
-1
Change Language

Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits $$1,2,3,4,5$$ with repetition, is _________.

Your input ____
3
JEE Main 2023 (Online) 13th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The distance travelled by an object in time $$t$$ is given by $$s=(2.5) t^{2}$$. The instantaneous speed of the object at $$\mathrm{t}=5 \mathrm{~s}$$ will be:

A
$$5 \mathrm{~ms}^{-1}$$
B
$$12.5 \mathrm{~ms}^{-1}$$
C
$$62.5 \mathrm{~ms}^{-1}$$
D
$$25 \mathrm{~ms}^{-1}$$
4
JEE Main 2023 (Online) 13th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements:

Statement I : For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases.

Statement II : Escape velocity is independent of the radius of the planet.

In the light of above statements, choose the most appropriate answer form the options given below

A
Both Statement I and Statement II are correct
B
Statement I is correct but statement II is incorrect
C
Both Statement I and Statement II are incorrect
D
Statement I is incorrect but statement II is correct
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