DU ঢাকা বিশ্ববিদ্যালয় আইবিএ (বিবিএ) ভর্তি পরীক্ষা ২০০৬-২০০৭

Jitu starts from point X and walks 1 km north, then 2 km east, then 2 km south, then 4 km west and then 1 km north lo reach at point Y, What is the shortest distance between X and Y?

Of the 45 families in a locality, 25 families have working mothers and 10 families have retried individuals as members to look after the children at home. Of the families, 8 have both working mothers and retired individuals as members. How many of the families have working mothers but no retired individuals as members?

Think of a number and then double the number. Then add 8 and multiply the result by 6. Now divide, the result by 12, then subtract the number you first thought out. What is the final result?

If a family was randomly picked from the families in the previous question, what is the probability (approximately) of that family having working mothers as members?

A basket contains four balls of four different colors: white, red, black and green. These balls will be distributed among four persons: Rajib, Lilu, Simu and Rida. Rida must not be given the black ball. Rajib must be given the white ball. Lilu must be given either red or black ball. Simu must not be given either black or green ball. If the above conditions are followed, which of the following must be true?

In the figure below, the middle point on segment PQ is:

How many flowers are there if all of them are roses except two, all of them arc tulips except two, and all of them are daisies except two?

In the figure above (from the previous question), the length of PQ is:

How many times does the digit 7 come in writing all the integers between 699 and 800?

In the circle below, if O is the center of the circle, what fraction of the circle is shaded?

Which is the next logical number in this sequence of numbers 2, 3, 5, 4, 8, 12, 2,7, 9, 3,7, 10, 6,1, 7, 8,8?

If the shaded region in the circle above (previous question) has an area of Π (pie), then the diameter of the circle is:

Rehana is one year senior to Jamila, and two years junior to Faria. Amina is one year senior to Jamila. Which of the following statements is correct?

The reciprocal of $p / n$ is $n / p$ and vice versa. Which of the following is the reciprocal of $\frac{2}{\sqrt{18}}$

An amusement park roller coaster includes five cars sequentially numbered 1 through 5. Each car accommodates at most two riders, seated side by side. Six people, Tareq, Galib. Luna, Mark, Pavel and Jamil, are riding the coaster at the same time.Luna is sharing a car.Mark is not sharing a car and is seated immediately behind an empty car.Tareq is not sharing a car with either Galib or Pavel.Galib is riding in either the third or fourth car.If Galib is riding immediately behind Luna's car and immediately ahead of Tareq's car, all of the following must be true EXCEPT:

In the figure below, if CP = BP and x = 120° then y =

An amusement park roller coaster includes five cars sequentially numbered 1 through 5. Each car accommodates at most two riders, seated side by side. Six people, Tareq, Galib. Luna, Mark, Pavel and Jamil, are riding the coaster at the same time.Luna is sharing a car.Mark is not sharing a car and is seated immediately behind an empty car.Tareq is not sharing a car with either Galib or Pavel.Galib is riding in either the third or fourth car.Which one of the following statements CANNOT be true?

A merchant was selling an item at a certain price, then marked it down 20% for a spring sale. During the summer, he marked the item down another 20% from its spring price. If the item is sold at the summer price, then what percent of the original price did it sell for?

An amusement park roller coaster includes five cars sequentially numbered 1 through 5. Each car accommodates at most two riders, seated side by side. Six people, Tareq, Galib. Luna, Mark, Pavel and Jamil, are riding the coaster at the same time.Luna is sharing a car.Mark is not sharing a car and is seated immediately behind an empty car.Tareq is not sharing a car with either Galib or Pavel.Galib is riding in either the third or fourth car.If Pavel is riding in the second car, which of the following statements (s) must be correct?

Half the graduating class of a college was accepted by a business school. One- third of the class was accepted by a law school. If one- fifth of the class was accepted by both schools, then what fraction of the class was accepted only by the law school?

An amusement park roller coaster includes five cars sequentially numbered 1 through 5. Each car accommodates at most two riders, seated side by side. Six people, Tareq, Galib. Luna, Mark, Pavel and Jamil, are riding the coaster at the same time.Luna is sharing a car.Mark is not sharing a car and is seated immediately behind an empty car.Tareq is not sharing a car with either Galib or Pavel.Galib is riding in either the third or fourth car.Which of the following groups of riders could occupy the second car?

Today Jim is twice as old as Fred and Sam is 2 years younger than Fred. Four years ago. Jim was 4 times as old as Sam. How old is Jim now?

After months of talent searching for an administrative assistant to the president of a college, the number of applicants has been narrowed down to 5: A, B, C, D and E It was announced that the finalist would be chosen after a series of interviews. The search committee agreed upon the following procedures:The interviews will be held once a week.Three candidates will appear at any interview session.Each candidate will appear at least once.If it becomes necessary to call applicants for additional interviews, no more than 1 such applicant should be asked to appear in the next week.It was agreed that whenever candidate B appears, A will also appear.Because of travel difficulties,, it was agreed that C will appear for only 1 Interview.Which of the following is a possible sequence of combinations for interviews in 2 successive weeks?

There are 8 job applicants sitting in a waiting room -4 women and 4 men. Two of the applicants are selected one after another at random. what is the probability that both will be women?

After months of talent searching for an administrative assistant to the president of a college, the number of applicants has been narrowed down to 5: A, B, C, D and E It was announced that the finalist would be chosen after a series of interviews. The search committee agreed upon the following procedures:The interviews will be held once a week.Three candidates will appear at any interview session.Each candidate will appear at least once.If it becomes necessary to call applicants for additional interviews, no more than 1 such applicant should be asked to appear in the next week.It was agreed that whenever candidate B appears, A will also appear.Because of travel difficulties,, it was agreed that C will appear for only 1 Interview.If A, B and D appear for the interview and D is called for an additional interview the following week, which 2 candidates may be asked to appear with D?

The closest approximation to $\sqrt{\frac{7.91 \times 506.88}{17.79}}$ is:

After months of talent searching for an administrative assistant to the president of a college, the number of applicants has been narrowed down to 5: A, B, C, D and E It was announced that the finalist would be chosen after a series of interviews. The search committee agreed upon the following procedures:The interviews will be held once a week.Three candidates will appear at any interview session.Each candidate will appear at least once.If it becomes necessary to call applicants for additional interviews, no more than 1 such applicant should be asked to appear in the next week.It was agreed that whenever candidate B appears, A will also appear.Because of travel difficulties,, it was agreed that C will appear for only 1 Interview.Which of the following correctly state(s) the procedure followed by the search committee?I. All applicants have appeared at least once before the beginning of the 3rd interview II. The committee sees each applicant, a second time.II. If there is a third session, it is possible for all applicants to appear at least twice.

A can work three times faster than B. A takes 60 days less than B to do a work. Find the number of days it would take to complete the work if both work together.

After months of talent searching for an administrative assistant to the president of a college, the number of applicants has been narrowed down to 5: A, B, C, D and E It was announced that the finalist would be chosen after a series of interviews. The search committee agreed upon the following procedures:The interviews will be held once a week.Three candidates will appear at any interview session.Each candidate will appear at least once.If it becomes necessary to call applicants for additional interviews, no more than 1 such applicant should be asked to appear in the next week.It was agreed that whenever candidate B appears, A will also appear.Because of travel difficulties,, it was agreed that C will appear for only 1 Interview.At the first interview, candidates A, B and D appear. Which of the following combinations can be called for the interview to be held next week?

In the figure below, if a line segment connecting points $B$ and $D$ is perpendicular to $AC$ and the area of triangle $ADC$ is $\frac{3 \sqrt{3}}{2}$ , then $BC=$ ?

If Salman is elected, he will work towards effecting those changes for which he has been fighting all these years. He will work to do away with the bureaucratic bogs that exist since his opponent took office.Choose the best option to complete the statement given below:He invites his opponent to…

A cow is tied to the corner of a square of side 15m with a rope of length 14m. Find the area the cow can graze and the area which it cannot.

Three men (Tareq, Polash and Javed) and three women (Eliza, Aleya and Kanon) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses, a. Aleya, Tareq and Javed do not want to stay in any cottage, which is at the end of the row.b. Eliza and Aleya are unwilling to stay beside any unoccupied cottage.c. Kanon is next to Polash and Javed.d. Between Aleya and Javed's cottage, there is just one vacant cottage.e. None of the girls occupy adjacent cottages.f. The house occupied by Tareq is next to an end cottage.How many of them occupy cottages next to a vacant cottage?

M. N. O and P are four individuals. M is the daughter of N, N is the son of O, and O is the father of P.Which among the following statements is contradictory to the above premises?

An economist estimates that the cost of living will increase by 8.50 percent over the next three years. How much should a piece of candy cost in three years if it cost Tk. 1.50 today?

After working for a total of 4 hours at a temporary job, you were told that you had just completed ¼ of the job. How long should it take you to finish the remaining part of the job?

M. N. O and P are four individuals. M is the daughter of N, N is the son of O, and O is the father of P.If B is the son of N and B has one brother D, thenI. M is the sister of D. II. D and N are brothers. III. O is the grandfather of D.

Ehsan was preparing to make a tape from some of his favourite songs. He noticed that Hadi's song was 1 minute longer than Bonna's song. Duration of Niaj's song was 1 minute shorter than twice the duration of Bonna's song. If the total time for these songs is 12 minutes, how long is Niaj's song?

M. N. O and P are four individuals. M is the daughter of N, N is the son of O, and O is the father of P.Which of the following statements is true?