For the given five values 15, 24, 18, 33, 42, the three-year moving averages are :

What sum of money is needed to invest now so as to get Rs. 5000 at the beginning of every month forever, if the money is worth 6% per annum compounded monthly?

Match List-I with List-II
The function \(f(x)=2 x^3-15 x^2+36 x+5\) for \(x \in[2,5]\) has

List-I	List-II
(A) absolute maximum value	(I) 5
(B) absolute minimum value	(II) 60
(C) point of absolute maxima	(III) 3
(D) point of absolute minima	(IV) 32

Choose the correct answer from the options given below:

Siyaram has 100 Kg apples, he sells a part of it at \(8\%\) profit and rest of it at \(18\%\) profit. The overall profit he earns is \(14\%\). The quantity he sold at \(18\%\) profit is :

The general solution of the differential equation \(x d y+e^{-y} d x=x e^{x-y} d x\) is (given C is constant of integration)

A small start-up started making wafers and distributing them to the retailers. After a week, average sales per week were found to be 150 packets. So, to increase the sales, a strategy was used to change the packaging and add a chocolate worth Rs. 5 as a free gift with the pack. After this, a sample of 17 shops was taken, which showed that sales went up with mean 165 and a standard deviation of 25. Check whether the strategy was effective \(5 \%\), level of significance? [Given \(\left.t_{16}(0.05)=2.12\right]\)

The function \(f(x) = x^2 - 2x\) has a critical point at:

Medical termination of pregnancy (MTP) is considered relatively safe -

The area of the region enclosed between the two circles \(x^2+y^2=1\) and \((x-1)^2+y^2=1\) is

A 200 turns closely wound circular coil of radius 10 cm carries a current of 3.5 A. The magnetic moment of the coil is

A coil \(C_1\) is connected to a galvanometer G. Second coil \(C_2\) is connected to a battery through a tapping key. The steady current in the coil \(C_2\) produces a steady magnetic field. As coil \(C_2\) is moved towards the coil \(C_1\), the galvanometer shows a deflection. To obtain a large deflection, one or more of the following steps can be taken:
(A) Use a rod made of soft iron inside the coil \(C_2\)
(B) Connect the coil \(C_2\) to a more powerful battery
(C) Move the arrangement of coil \(C_2\) rapidly towards the coil \(C_1\)
(D) hold the key pressed continuously
Choose the correct answer from the options given below:

Arrange the steps involved in retroviral infection of an animal cell in a sequencial order :
(A) More virus particles are made.
(B) Virus eventually enters T-lymphocytes.
(C) Viral DNA incorporated in host DNA.
(D) RNA of HIV enters macrophages.
(E) By reverse transcription viral RNA forms viral DNA.
Choose the correct answer from the options given below:

The statement which is not true -
(A) Boiling point of ethanol is greater than that of ethoxyethane due to H -bonding
(B) Ethoxyethane is soluble in water due to H-bonding
(C) Ethanol is soluble in water due to H -bonding
(D) Ethoxyethane has nearly same boiling point as that of butanol
Choose the correct answer from the options given below :