For the given values 27, 35, 42, 45, 51, 34, 43; the five yearly moving averages are:

The volume of spherical balloon is increasing at the rate of 4 \(cm ^3\) / sec. The rate of increase of its surface area, when the radius is 3 cm will be :-

Mr. X wishes to purchase a flat for Rs. \(44,65,000\) with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years.
If the bank charges \(6 \%\) per annum compounded monthly, the EMI is :
[Given: \((1.005)^{300}=4.465\)]

If \(P(A)=\frac{3}{10}, P(B)=\frac{2}{5}\) and \(P(A \cup B)=\frac{3}{5}\), then the value of \(P(B \mid A)+P(A \mid B)\) is :

In which of the following intervals, the function \(f(x)=\frac{x}{\log x}\) is decreasing?

Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to :

If \(\left[\begin{array}{ccc}x+1 & 3 & 9 \\ -2 & 5 & 3 \\ 0 & 0 & z-3\end{array}\right]=\left[\begin{array}{ccc}0 & 3 & 9 \\ -2 & y-5 & 3 \\ 0 & 0 & 10\end{array}\right]\) then the values of \(x, y\) and \(z\) are:

If \(X=11\) and \(Y=3\), then \(X \bmod Y=(X+a Y) \bmod Y\) holds:

Adenosine deaminase deficiency is caused by ________ of the gene.

Which of the following statement is correct for a potentiometer ?

Which of the following hormone is generally not produced by the placenta?

A circular loop of area \( A = 0.01 \text{ m}^2 \) carrying a current of \( I = 10 \text{ A} \), is held in a magnetic field of \( B = 0.1 \text{ T} \) parallel to the plane of the loop. The torque acting on the loop is-

Read the passage carefully and answer the Questions
Amines are classified as primary \(\left(1^{\circ}\right)\), secondary \(\left(2^{\circ}\right)\) and tertiary \(\left(3^{\circ}\right)\) depending upon the number of hydrogen atoms replaced by alkyl or aryl groups in ammonia molecules. Aliphatic amines are a stronger bases due to \(+I\) effect of an alkyl groups.
Intermolecular hydrogen bonding in primary and secondary amines affects the boiling points of amines. The intermolecular association is more in primary amines than in secondary amines as there are more number of hydrogen atoms available for hydrogen bond formation. Nitro compounds are reduced to amines by passing hydrogen gas in the presence of finely divided nickel, palladium or platinum and also by reduction with metals in an acidic medium. Gabriel synthesis is used for the preparation of primary amines. Primary amines react with nitrous acid to give unstable diazonium-salts which can be used to synthesize a variety of compounds.
Identify the amine possessing least basic strength