Question

Answer

There are 20 girls and 30 boys in a
class, and their respective average marks are found to be 55 and 58. The
average marks of the entire class are

56.8

Consider an industry with the
following features:
Budgeted monthly fixed cost = Rs.
2, 20,000
Normal monthly output = 12000 per
standard labour hour
Standard variable overhead rate =
Rs. 25 per labour hour
What would be total factory
overhead rate?

Rs. 43.33 per labour hour

There are four identically sized
and shaped balls in a box, with only its top open. Each ball is of a
different colour, these being: Green, Red, White and Blue, only one ball of
each colour. Without looking into the box, one ball is randomly picked out
and its colour is noted; then it is returned to the box. What are the chances
that, in two successive draws, one may get the white ball and the red ball –
in whichever order?

1/8

A cylindrical closed tank contains
36π cubic metres of water, and is filled to half of its capacity. When the
cylindrical tank is placed upright on its circular base on level ground, the
height of the water in the tank is 4 metres. But, when this tank is placed on
its side on level ground, what will be the height of the surface of the water
above the ground?

3 meters

Data regarding inventory of a
particular item of usage in the production activities of an organization are:
the quantity in stock is 1500 units and the value of this stock is Rs. 1, 27,
500. (This works out to an average unit cost of Rs. 85) During the ensuing
year X, an additional 300 units are purchased at a unit cost of Rs. 95.
Consumption in production processes during the year X has been 600 units.
Working by the FirstinFirstout basis, the value of the residual inventory
of the item at the end of the year X will be

Rs. 1, 05, 000

In a race, the first four winners
are to be awarded points. Each winner’s points must be 5 more than that of
the next position winner. Total sum of the points to be awarded is 50. What
will be the points for the third position winner?

10

Which of the following trends in
FDI inflows are correct?

In 200304, the FDI equity inflow
percentage growth was negative.
From 200405 to 200708, the FDI
inflows were very high and positive.
In 200809, the FDI inflows were
positive, but had decreased relative to the previous year.

In raising an object to given
height by means of an inclined plane, as compared with raising the object
vertically, there is a reduction in

Force to
be applied

The mean and standard deviation of
a set of 16 non zero positive numbers in an observation are 26 and 3.5
respectively. The mean and standard deviation of another set of 24 nonzero
positive numbers without changing the circumstances, are 29 and 3,
respectively. The mean and standard deviation of their combined set of
observations will respectively be

27.8 and
3.21

A sinusoidal transverse wave is
travelling in string. Any point of the string moves in

SHM with
the same angular frequency as that of the wave

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