MCA Entrance Previous Year Question Bank

The ages of students in a group are in A.P. If the youngest is $5$ years old, and the oldest is $15$ years old, then the average age of the group is:

If the $m^{\text{th}}$ term of an H.P. is $n$ and its $n^{\text{th}}$ term is $m$, then find its $(m+n{)}^{\text{th}}$ term?

A goup of 630 children is arranged is rows for a group photograph session. Each row contain three fewer children that the row in front of it. What numbers of rows is not possible?

A woman took a certain number of eggs to the market and sold some of them. The next day through her poultry industry, the number left over had been doubled, and she sold the same number as the previous day. On the third day, the new remainder was tripled, and she sold the same number as before. On the fourth day, the remainder was quardrupled, and her sale were the same as before. On the fifth day, what had been left over were quintupled, yet she sold exactly the same as on all the previous occasions and so disposed of her entire stock. What is the smallest number of eggs she could have taken to the market the first day, and how many did she sell daily?

From a height of 16 m, a ball fell down and each time it bounces half the distance back. What is the total distance travelled?

If H1​,H2​,…,Hn​ are n harmonic means between a and b, a=b, then the value of H1​−aH1​+a​+Hn​−bHn​+b​ is equal to:

Suppose $a,b,c$ are in AP with common difference $d$. Then, $e^{1/c},e^{b/ac},e^{1/a}$ are in:

Direction : Read the following passage to answer the questions Rajita has a unique way of attempting the question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction and 3 in the reverse direction. If she reaches a stage when she cannot attempt any more question, she starts in the reverse direction with the first unanswered question. She repeats the same process and when she reaches a stage when she can not process any further, she reverses her direction again starting with the first unanswered question.

Which is the 20th question Rajita answers ?

Direction : Read the following passage to answer the questions Rajita has a unique way of attempting the question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction and 3 in the reverse direction. If she reaches a stage when she cannot attempt any more question, she starts in the reverse direction with the first unanswered question. She repeats the same process and when she reaches a stage when she can not process any further, she reverses her direction again starting with the first unanswered question.

Which is the last question that she answers if she attempts all the 50 questions ?

Direction : Read the following passage to answer the questions Rajita has a unique way of attempting the question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction and 3 in the reverse direction. If she reaches a stage when she cannot attempt any more question, she starts in the reverse direction with the first unanswered question. She repeats the same process and when she reaches a stage when she can not process any further, she reverses her direction again starting with the first unanswered question.

How many times does she reverse her direction?