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## Delhi University MCA Previous Year Questions (PYQs)

#### Delhi University MCA 2020 PYQ

Delhi University MCA PYQ 2020
Find the odd man out:
1, 4, 27, 16, 125, 36, 216, 64, 729, 100

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

The pattern of the series is 13, 22, 33, 42, 53, 62, 73. .....
Odd Term 216.

Delhi University MCA PYQ 2020
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. ?

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

An athlete needs to cover 6 km in 90 minutes.
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

Delhi University MCA PYQ 2020
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.

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

One Day work of A+B = 1/15
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.

Delhi University MCA PYQ 2020
If 2x = (1024)1/5, what is the value of x ?

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

$2^x=1024^\frac{1}{5}$
$2^x=(2^{10})^{1/5}$
$2^x=2^{10/5}$
$2^x=2^2$
$x=2$

Delhi University MCA PYQ 2020
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

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Relative speed = (50 + 40) km/hr
=($90\times\frac{5}{18}$)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.

Delhi University MCA PYQ 2020
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

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Speed downstream = (12 + 3) kmph = 15 kmph.
Distance travelled = $15 \times \frac{30}{60}$km = 7.5km.

Delhi University MCA PYQ 2020
Which one of the following is in built data structure of C language?

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Delhi University MCA PYQ 2020
Which of the following operators in C language has right to left associativity:

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Delhi University MCA PYQ 2020
The following in C language is valid
Variable = expression l ? expression 2: expression 3

It represents a (an)

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Delhi University MCA PYQ 2020
Which one of the following is incorrect in C language?

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Delhi University MCA PYQ 2020

Delhi University MCA Previous Year PYQDelhi University MCA DU MCA 2020 PYQ

#### Solution

Let U and V be vector spaces.
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).