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Study Stuff for MCA Examinations

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Find the odd man out:

1, 4, 27, 16, 125, 36, 216, 64, 729, 100

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Odd Term 216.

An
athlete has to cover a distance of 6 Kms in 90 Minutes. He covers two-third of
the distance in two-thirds of the total time. To cover the remaining distance
in the remaining time, his speed should be____ Km/Hr. ?

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Given that he covers 2/3 of the distance in 2/3 of the total time

⇒ he covers 2/3 of 6 km in two-thirds of 90 minutes

⇒ He covers 4 km in 60 minutes.

Now he needs to cover the remaining 2 km in remaining 30 minutes

Distance = 2 km

Time =30 minutes =1/2 hour

Required Speed =2/(1/2)km/hr = 4km/hr

A
and B can complete a work in 15 days. B and C can complete the same work in 20
days. If A, B and C together can finish it in 10 days, then A and C can
complete the same work in____days.

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One Day work of B+C = 1/20

Lwt One Day work of A+C = 1/x

One Day work of A+B+C = 1/10

2.One Day work of A+B+C =(One Day work of A+B)+(One Day work of B+C)+(One Day work of A+C)

$\frac{2}{10}=\frac{1}{15}+\frac{1}{10}+\frac{1}{x}$

x=12

A+C can complete the same work in 12 days.

If 2^{x} = (1024)^{1/5}, what is the value of x ?

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$2^x=1024^\frac{1}{5}$

$2^x=(2^{10})^{1/5}$

$2^x=2^{10/5}$

$2^x=2^2$

$x=2$

Two trains each 500 metres long, are running in opposite directions on
parallel tracks. If their speeds are 50 km/hr and 40 km/hr respectively, the
time taken by the slower train to pass the driver of the faster one is _______seconds

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=($90\times\frac{5}{18}$)m/sec

=25 m/sec.

We have to find the time taken by the slower train to pass the Driver of the faster train and not the complete train.

So, distance covered = Length of the slower train.

Therefore, Distance covered = 500 m.

∴ Required time ($500×\frac{1}{25}$)=20sec.

The
speed of a boat in still water is 12 km/hr and the rate of current is 3 km/hr.
The distance travelled downstream in 30 minutes is

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Distance travelled = $15 \times \frac{30}{60}$km = 7.5km.

Which
one of the following is in built data structure of C language?

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Which
of the following operators in C language has right to left associativity:

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The
following in C language is valid

Variable
= expression l ? expression 2: expression 3

It represents a (an)

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Which
one of the following is incorrect in C language?

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Then they are isomorphic iff there is a bijection from a basis of U to a basis of V.

The isomorphism is the basis changer function.

This means that if U and V are finite-dimensional vector spaces, they are isomorphic iff dim(U)=dim(V).

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