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A person was asked to state his age in yrs. His reply was. "Take my age three yrs hence, multiply it by 3 and then subtract three times my age three yrs ago and you will know how old I am." What was the age of the person?
Present age of the man = x yrs
∴ According to the question
(x + 3) x 3  3 (x  3) = x
or, 3x + 9  3x + 9 = x
∴ x = 18 years
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
Roots of the equation 21 x^{2} − 41 x + 10 = 0 are
Solve by splitting the middle term
By eliminating θ from x = a cos θ, y = a sin θ
If cos 0^{o} + √ 2 sin 45^{o} + sin A = 3 then A =
Refractive index of glass w.r.t.air is 3/2 .What is the refractive index of air w.r.t glass?
In questions below, equations have become wrong due to wrong orders of signs. Choose the correct order of signs from the alternative given.
82×7=11
If the price of rice is reduced by 20%,one can buy 2 kg more for Rs 100. The reduced price of rice is
If on m% reduction in price of rice, one can buy y kg more rice for Rs. x, then
Reduced price of rice = m/100 x x/y
= 20/100 x 100/2
= Rs 10 per kg
Salaries of Rajesh and Sunil are in the ratio of 2:3. If the salary of each one is increased by Rs 4000 the new ratio becomes 40:57. What is Sunil's present salary?
Let the salaries of Rajesh and sunil be 2x and 3x respectively
⇒ 2x + 4000/3x = 40/57
⇒ 114x + 228000 = 120x
⇒ 6x = 228000
x = Rs 38000
⇒ Sunil's salary = 3x
= 3(38000) = Rs 114000
If a = x/(x+y) and b = y/(xy), then ab/(a+b) is equal to
A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is :
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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