MCA Entrance Previous Year Question Bank

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?

The sum of the numbers from 1 to 100, which are not divisible by 3 and 5, is:

At a dance party a group of girls and boys exchange dances as follows: One boy dances with 5 girls, Second boy dances with 6 girls, and so on last boy dances with all girls. If b represents the number of boys and g represents the number of girls, then

If $a_1$, $a_2$, ..., $a_n$ are in A.P. and $a_1=0$, then the value of $\left(a_3+\frac{a_4}{a_3}+\dots +\frac{a_n}{a_{n-1}}\right)-a_2\left(\frac{1}{a_2}+\frac{1}{a_3}+\dots +\frac{1}{a_{n-2}}\right)$ is equal to

There are 8436 steel balls, each with radius of 1 centimeter, stacked in pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer 10 in the fourth and so on. The number of horizontal layers in the pile is

If a, b, c, d are in HP and arithmetic mean of ab, bc, cd is 9 then which of the following number is the value of ad?

A group of $630$ children is arranged in rows for a group photograph. Each row contains three fewer children than the row in front of it. What number of rows is not possible?

Suppose $t_1,t_2,t_3,\dots ,t_{55}$ are in AP such that ${\sum }_{l=0}^{18}{t}_{3l+1}=1197$ and $t_7+3t_{22}=174$. If ${\sum }_{l=1}^9{t}_l^2=947b$, then the value of $b$ is: