Faculty of Business Studies(FBS) 2018-2019

1.

If 9 men or 15 women can do a work in 16 days, how long it take 3 men and 7 women to complete the job?

12

১৫

১৮

20

12

১৫

১৮

20

2.

You can now purchase 5 more bananas with Tk 75 due to reduction in price by 20%. What is the current price of one dozen of bananas?

24

৩০

৩২

৩৬

24

৩০

৩২

৩৬

3.

If $\frac{x}{2} + 3 = \frac{x}{3} + 4, x = ?$

৪

3

5

6

৪

3

5

6

4.

What is 10% $\frac{y}{3}$ , If $\frac{2 y}{3} i s 10 % o f 600$

৩০

60

3

12

৩০

60

3

12

5.

If A : B=1 : 2, B : C=4 : 3 and A + B + C = 630 What is the value of A?

140

210

280

১৮০

140

210

280

১৮০

6.

Which of the following is a solution to x² + x =1

\frac{- 1 \pm \sqrt{5}}{2}

\frac{- 2 \pm \sqrt{5}}{1}

\frac{1 \pm \sqrt{5}}{2}

\frac{- 5 \pm \sqrt{1}}{2}

\frac{- 1 \pm \sqrt{5}}{2}

\frac{- 2 \pm \sqrt{5}}{1}

\frac{1 \pm \sqrt{5}}{2}

\frac{- 5 \pm \sqrt{1}}{2}

7.

What is the greatest positive integer n such that 2ⁿ is a factor of 12¹⁰ ?

১০

৩০

20

40

১০

৩০

20

40

8.

$I f \frac{1}{y} = \frac{3}{2} t h e n \frac{1}{y + 2} = ?$

\frac{6}{7}

\frac{3}{8}

\frac{7}{6}

\frac{9}{3}

\frac{6}{7}

\frac{3}{8}

\frac{7}{6}

\frac{9}{3}

9.

If n is an even integer which of the following must be an odd integer ?

n + 1

n + 2

n + 4

n

n + 1

n + 2

n + 4

n

10.

$I f \frac{a}{x} + \frac{x}{a} = \frac{x}{b} + \frac{b}{x} t h e n x = ?$

AB

\pm \sqrt{a b}

{(a b)}^{2}

None

AB

\pm \sqrt{a b}

{(a b)}^{2}

None

11.

90 taka has been collected due to donation from each student by N 10 paisa, where N is the total number of students in a class. The number of student in that class-

৯০

60

৩০

১৫

৯০

60

৩০

১৫

12.

A pice of rope is cut into three section so that the first section is three times so long as the third. What fraction of the entire piece is the smallest section?

\frac{1}{5}

\frac{1}{7}

\frac{1}{9}

\frac{1}{13}

\frac{1}{5}

\frac{1}{7}

\frac{1}{9}

\frac{1}{13}

13.

The average age of a group of 12 students is 20 years, If 4 more students Join the group, the average age increases by 1 year, the average age of the new student is-

২৮

26

24

২২

২৮

26

24

২২

14.

Of 10 consecutive numbers, Sum of the first five is 560 what will be sum of the last 5 numbers?

৫৮৫

580

৫৭৫

None

৫৮৫

580

৫৭৫

None

15.

If k is the average of 10 and-14, then the average of k and - 8 is -

-24

-12

-11

-5

-24

-12

-11

-5

16.

If a copier makes 3 copies every 4 seconds then continues at this rate, how many minutes will it take to make 9,000 copies-

60

100

২০০

3000

60

100

২০০

3000

17.

Three valves when opened individually, can drain the water from certain tank in 3, 4 and 5 minutes respectively, What is the greatest part of the tank that can be drained in one minute by opening just two of valves.

\frac{7}{12}

\frac{1}{2}

\frac{1}{4}

\frac{1}{5}

\frac{7}{12}

\frac{1}{2}

\frac{1}{4}

\frac{1}{5}

18.

The average age of A, B and C is 40 years, Then the sum of the ages of A and C is 85 years. Find the age of B.

30 years

35 years

40 years

45 years

30 years

35 years

40 years

45 years

19.

A man travel a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour. What is his average speed?

26

25

25.5

24

26

25

25.5

24

20.

If an apple costs of dollars, how many apples can be brought for X dollars?

\frac{X}{d}

\frac{d}{X}

\frac{a}{s}

None

\frac{X}{d}

\frac{d}{X}

\frac{a}{s}

None

21.

If x - y = 0 then xy =?

1

x

x^{2}

x^{2} y

1

x

x^{2}

x^{2} y

22.

If $\frac{a - b}{a + b} = 2$ and b=1 then a=?

1

-2

-1

-3

1

-2

-1

-3

23.

If $p - \frac{1}{p} = 11$ , then find the value of ${(p + \frac{1}{p})}^{2}$

115

১২১

১১১

১২৫

115

১২১

১১১

১২৫

24.

The area of a 2 feet wide wall around the garden that is 30 feet long and 20 feet wide is-

104 sq ft

216 sq ft

704 sq ft

1516 sq ft

104 sq ft

216 sq ft

704 sq ft

1516 sq ft

25.

A rectangular floor is covered by a rug except for a strip P meters wide along each of the four edges. If the floor is m meters by n meters, what is the area of the rug, in square meters?

mn - p(m + n)

mn - 2p(m + n)

mn -

p^{2}

(m - 2p)(n - 2p)

mn - p(m + n)

mn - 2p(m + n)

mn -

p^{2}

(m - 2p)(n - 2p)

26.

If 5A + 3 = 3A + 5 . What is the value of A-

-1

1

3

-1

1

3

27.

Of following which one is greater than $\frac{1}{2}$

\frac{2}{5}

\frac{4}{7}

\frac{4}{9}

\frac{5}{11}

\frac{2}{5}

\frac{4}{7}

\frac{4}{9}

\frac{5}{11}

28.

When $\frac{1}{10}$ percent of 5000 is subtracted from $\frac{1}{10}$ of 5,000 are the difference is-

50

৪৫০

495

50

৪৫০

495

29.

If f(x)= $\frac{(x + 2)}{(x - 2)}$ for all integers except x=2, which of the following has the greatest value?

f(-1)

f(0)

f(1)

f(3)

f(-1)

f(0)

f(1)

f(3)

30.

If AB is negative, which of the following cannot be negative?

B - A

A^{2} B

a b^{2}

a^{2} b^{2}

B - A

A^{2} B

a b^{2}

a^{2} b^{2}

31.

Two numbers differ by 7 and their product is 60. What are the two numbers?

5 and 12

2 and 30

6 and 10

3 and 20

5 and 12

2 and 30

6 and 10

3 and 20

32.

Which fraction is equal to 125 %

\frac{3}{2}

\frac{6}{5}

\frac{5}{4}

\frac{3}{4}

\frac{3}{2}

\frac{6}{5}

\frac{5}{4}

\frac{3}{4}

33.

X and Y are children of Z. Z is the father of X, but Y is not the sun of Z. How Y is related to Z?

Son-in-lwa

daughter-in-law

uncle

daughter

Son-in-lwa

daughter-in-law

uncle

daughter

34.

in figure x=?

50°

60°

৭০°

110°

50°

60°

৭০°

110°

35.

If $\frac{x}{4} - \frac{8}{x} = 1, x = ?$

-2, 4

-4, 8

-8, 4

None

-2, 4

-4, 8

-8, 4

None

36.

If 2 men or 3 women can do a piece of work in 42 days, then 6 men and 12 women to gather can finish it in-

4 days

6 days

8 days

9 days

4 days

6 days

8 days

9 days

37.

If the radious of a circle is increased by 6%, then the area of the circle is increased by-

3.6

π

6.5

π

12.36 %

36

π

3.6

π

6.5

π

12.36 %

36

π

38.

If a > b > c, then which of the followings must be true?

2a > b + c

a - b > a - c

a > b + c

2a= b-c

2a > b + c

a - b > a - c

a > b + c

2a= b-c

Job Solution | Bangladesh University of Professionals (BUP)

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