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The area of the sector of the circle is 1/10th the area of the circle. The angle of the sector is
Area of circle = A = πr^{2}
Area of sectors of circle A = n/360 πr^{2}
Where n = angle of the sector
According to question
n/360 πr^{2} = πr^{2} x 1/10
⇒ n/360 = 1/10
⇒ 10n = 360
⇒ n = 360/10 = 36
If α and β are the roots of the equation x^{2} + x + 1 = 0, then find the equation with roots 2 α + β and α + 2 β
α + β = − 1 ; α β = 1
S ′ = 2 α + β + α + 2 β = 3 α + β = − 3
P ′ = 2 α + β α + 2 β
= 2 α^{2} + 5 α β + 2 β^{2}
= 2 α^{2} + β^{2} + 5 α β
= 2 [ (α + β)^{2} − 2 α β ] + 5 α β
2 (α + β)^{2} + α β
= 2 (− 1)^{2} +1 = 3
required equation : x^{2} − S ′ x + P ′ = 0
If tan θ = 5/12 , 0^{o} < θ < 90^{o} , then value of cosec θ is
Which of the following is equal to 3.14 x 10^{6}?
Each angle of a regular pentagon will be :
If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and  stands for 'division', then
20 × 8 ÷ 8  4 + 2 = ?
Given expression : 20 + 8  8 ÷ 4 × 2 = 20 + 8  2 × 2 = 20 + 8  4 = 24
A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job is
Ratio of volumes
∴ A pipe of radius d/2 can drain a water tank in 40 minutes
⇒ A pipe of radius d can drain the same water tank in 10 minutes
If a/b = c/d = e/f,then all the following are true except
Let PQ = 64 km A man starts from P and walks 32 km on first day, on second day he walks only 16 km, on third day he walks 8 km, on fourth day he walks just half, i.e. 4 km. He will reach Q in
Distance between PQ = 64 km
Distance covered on the 1st day = 64/2 = 32 km
Distance covered on the 2nd day = 32/2 = 16 km
Like wise Total distance covered = 32 + 16 + 8 + 4 + ..........
This is an infinite geometric series whose first term is 32 and common ratio = 1/2
∴ Sum of the infinite series = a/1  r
Where a is the first term and r common ratio = 32/1/2 = 64
Hence the man will never reach Q
A and B finish a job in 12 days, while A, B and C can finish it in 8 days. C alone will finish the job in
Seven faculty members at a management institute frequent a lounge for strong coffee and conversation. On being asked about the visit to the lounge last Friday we got the following responses :
JC I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and VR were present in the lounge DG left with me.
JP When I entered the lounge with VR, JC was siting there. There was someone else, but I Cannot remember who It was.
SM I went to the lounge for a short while, and met JC, SS and DG in the lounge on that day.
SS I left immediately after SM left.
DG I met JC, SS, JP and VR during my first visit to the lounge. I went back to my office with JC. When I went to the lounge second time, JP and VR were there.
PK I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR No comments.
Q. Based on the responses, which of the two JP or DG, entered the lounge first ?
Seven faculty members at a management institute frequent a lounge for strong coffee and conversation. On being asked about the visit to the lounge last Friday we got the following responses :
JC I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and VR were present in the lounge DG left with me.
JP When I entered the lounge with VR, JC was siting there. There was someone else, but I Cannot remember who It was.
SM I went to the lounge for a short while, and met JC, SS and DG in the lounge on that day.
SS I left immediately after SM left.
DG I met JC, SS, JP and VR during my first visit to the lounge. I went back to my office with JC. When I went to the lounge second time, JP and VR were there.
PK I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR No comments.
Q. Who was sitting with JC when JP entered the lounge ?
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