1
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2. The average marks of all 50 candidates is 15. If $$\mu$$ is the average marks of girls and $$\sigma$$2 is the variance of marks of 50 candidates, then $$\mu$$ + $$\sigma$$2 is equal to ________________.
Your input ____
2
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
If $$\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {14}}(ux + v{{\log }_e}(4{e^x} + 7{e^{ - x}})) + C} $$, where C is a constant of integration, then u + v is equal to _____________.
Your input ____
3
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses.
![JEE Main 2021 (Online) 27th August Evening Shift Physics - Geometrical Optics Question 88 English](https://imagex.cdn.examgoal.net/1ktqs5zcv/43fb95d9-ffe2-4768-b9a2-61aa46818b00/a12a15e0-190a-11ec-9e1c-4f8f7e7dad5b/file-1ktqs5zcw.jpeg)
![JEE Main 2021 (Online) 27th August Evening Shift Physics - Geometrical Optics Question 88 English](https://imagex.cdn.examgoal.net/1ktqs5zcv/43fb95d9-ffe2-4768-b9a2-61aa46818b00/a12a15e0-190a-11ec-9e1c-4f8f7e7dad5b/file-1ktqs5zcw.jpeg)
4
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8 kg to strike the ground starting from rest. (use g = 10 m/s2)
![JEE Main 2021 (Online) 27th August Evening Shift Physics - Laws of Motion Question 72 English](https://imagex.cdn.examgoal.net/1ktqs87ux/4ab6260d-6280-4821-9eb8-b3756206cfea/df59bb90-190a-11ec-9e1c-4f8f7e7dad5b/file-1ktqs87uy.jpeg)
![JEE Main 2021 (Online) 27th August Evening Shift Physics - Laws of Motion Question 72 English](https://imagex.cdn.examgoal.net/1ktqs87ux/4ab6260d-6280-4821-9eb8-b3756206cfea/df59bb90-190a-11ec-9e1c-4f8f7e7dad5b/file-1ktqs87uy.jpeg)
Paper analysis
Total Questions
Chemistry
22
Mathematics
19
Physics
26
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