Mathematics Practice

Mathematics Practice

Mathematics Problem for Practice:

Solve each of the following problems:
01. Today is Arif’s 12th birthday and his father’s 40th birthday. How many years from today will Arif’s father be twice as old as Arif at that time?
    A) 12         B) 16         C) 18         D) 24         E) None

02. Sharif ran a 2 mile race at an average speed of 8 miles per hour. If Arif ran the same race at an average speed of 6 miles per hour, how many minutes longer than Sharif did Arif take to complete the race?
     A) 15         B) 10         C) 8         D) 5 (E) none

03. Three workers can do a job in 12 days. Two of the workers work twice as fast as the third.
How long would it take one of the faster workers to do the hob alone?
    A) 30         B) 35         C) 40         D) 42         E) none

04. A rectangular area of 16 meters by 12 meters, is surrounded by a road 3 meters wide. The area
of the road is :
    A) 78         B) 132         C) 204         D) 216         E) none

05. x, y, & z are consecutive integers. If 0 < x < y < z and (x + y + z) is an odd integer, which of the
following could be the value of z?
    A) 2         B) 3         C) 4         D) 5         E) none

06. Coffee A normally costs 100 taka per pound. It is mixed with coffee B, which normally costs 70 taka per pound, to form a mixture which costs 88 taka per pound. If there are 10 pounds of the mix, how many pounds of coffee A are used in the mix?
    A) 4         B) 5         C) 6         D) 7         E) none

07. The ratio of green marbles to red marbles in a box is 3:5. If there are 24 marbles in the box, how many additional green marbles will be required to make the ratio of green marbles to red marbles 1:1?
    A) 12         B) 9         C) 6         D) 3         E) none
08. Club A has 20 members and Club B has 28. If a total of 42 people belong to the two clubs, how
many people belong to both clubs?
    A) 3         B) 4         C) 5         D) 6         E) none

09. A sales person earns a commission of 5% on all sales between TK. 2000 and TK. 6000 and 8% on all sales over TK. 6000. What is his total commission in a week in which his sales total TK. 10,000?
    A) 500         B) 540         C) 620         D) 720         E) none

10. If X is an odd integer and Y is an even integer, which of the following statements is (are) always true?
    (I) X+ Y is odd.     (II) XY is odd.     (III) 2X+ Y is even.
    A) I only            B) II and III only          C) III only        D) I and III only        E) none

11. A football team has won 40 games out of 60 played. It has 32 more games to play. How many of these must the team win to make it record 75% win for the season?
        A) 20         B) 25         C) 29         D) 32         E) none

12. Of 24 kgs of salt water 8% is salt; of another mixture 4% is salt. How many kgs of the second mixture should be added to the first mixture in order to get a mixture that is 5% salt?
        A) 48         B) 56         C) 64         D) 72         E) none

13. If a man was r years old s years ago, how many years old will he be t years from now?
        A) s + r + t         B) rs + t         C) s – r + t         D) r – s + t         E) none

14. Arif travels rd of the distance at an average speed of 5 km/hr, th of the distance at an average speed of 4km/hr and the test 12 miles in 2 hours. What is the total distance traveled by Arif?
        A) 45         B) 48         C) 52         D) 54         E) none

15. Arif gave x no. of stamps to Sharif. He gave Babu one more stamp than he gave Sharif and he gave Asif two stamps fewer than he gave Babu. In terms of x, how many stamps did Arif give to Baby, Sharif and Asif?
    A) 3x         B) 3x + 1         C) 3x – 1         D) 3x + 2         E) none

16. A mother can do a fob as fast as her 2 daughters working together. If one daughter does the job
alone in 3 hours & the other does it alone in 6 hours, how many hours does it take the mother to do
the job alone?
        A) 2         B) 3         C) 4         D) 6         E) none

17. Before anybody could notice, Arif took 1/3 of the chocolates from a box. Later, his three sisters arrived and the remaining chocolates were distributed equally among the four of them. Arif received a total of 48 chocolates. How many did each of her sisters receive?
        A) 16         B) 18         C) 21         D) 24         E) none

18. A ferry can carry 20 buses or 32 cars. If there are 15 buses on the ferry, how many cars can be loaded into it?
        A) 6         B) 8         C) 12         D) 15         E) none

19. A box contains 24 balls, some red and some black. Each of the following could be the ratio of
red to black balls except
        A) 1 : 1         B) 3 : 1         C) 5 : 3         D) 4 : 3         E) 5:1

20. Mr. Rahim who is 28 years of age has a son who is 4 years old. In how many years will Mr. Rahim be 4 times as old as his son?
        A) 1         B) 2         C) 3         D) 4         E) 5

21. In a list of numbers, each number after the first is exactly one-third the number immediately preceding it. If the seventh number in the list is 2, what is the fourth number in the list?
        A) 54         B) 63         C) 27         D) 36         E) none of these

22. If m>n, n<p and n>0, which of 1. the following must be true?
    A) mn > p^2        B) mp > n^2    C) pn > m^2
    D) mn > np         E) none of these

23. Anwar usually walks to his house from his office at a speed of 8 km per hour. It takes him 10 minutes longer to walk the same distance at 6 km per hour. What is the distance (in km) between his house and office?
    A) 7         B) 6         C) 5         D) 4         E) none of these

24. A team of 2 men and 5 women completed one-fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to compete another one-fourth of the job. How many men can complete the whole job in 4 days?
    A) 4         B) 6         C) 8         D) 9         E) none of these

25. A triangular plot with sides of 25 feet, 40 feet, and 55 feet is to be surrounded by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?
    A) 21         B) 22         C) 23         D) 24         E) none of these

26. ABC is an equilateral triangle. If ÐFGH = 50°, FG = FH, BD = AE and DH = EG, what is the value of ÐCDF?
        A) 80°         B) 90°         C) 100°         D) 110°         E) none of these

27. If m is an even integer and n is an odd integer and both are positive numbers, which of the following must be even?
        A) m^2 + n^2         B) mn + n^2         C) m^3 + n^2         D) mn + m^2         E) none of these

28. In a sugar-water solution, the ratio of water to sugar is 8 : 3. If you add 2 kgs of sugar, the ratio becomes 2:1. What is the amount of sugar in the original solution in kg?
        A) 3         B) 4.5         C) 6         D) 8         E) none of these

293. M is a set of 5 consecutive integers whose average is 4. N is a set of 7 consecutive integers whose average is 7. How many members of set N are also members of set M?
        A) 0         B) 1         C) 2         D) 3         E) none of these

30. Asif is twice as old as Rafique, and Karim is 6 years younger than Rafique. Four years ago, Asif was 4 times as old as Karim. How old is Karim now?
    A) 8         B) 12         C) 16         D) 20         E) none of these

31. Three workers, X, Y and Z, are paid a total of Tk. 5,500 for a particular job. X is paid 133.33% of the amount paid to Y and Y is paid 75% of amount paid to Z. How much is paid to Z?
(A) 1,750 (B) 1,850 (C) 1,950 (D) 2,000 (E) none of these

32. In a certain club, 70% of the members are married, and of the married members, 60% are female. If 60% of the members are female, what percent of the members are unmarried male?
    A) 8%         B) 12%         C) 18%        D) 22.5%         E) none of these

33. The mile meter of a car misses every eleventh mile being traveled. After a certain time, the meter shows that 1251 miles were traveled. How many miles were actually traveled?
        A) 1291         B) 1325         C) 1376         D) 1421         E) none of these

34. B and C are points on a straight line AD, where AB = BC = CD. What 1. percent of AC is AD?
        A) 1.5%         B) 50%         C) 66.67%         D) 133.33%         E) 150%

35. A square floor with side of 5 meter is to be covered with square tiles. If each tile has a perimeter of 0.8 meter, what is the minimum number of tiles needed to cover the floor?
        A) 144         B) 425         C) 500         D) 625         E) none of these

36. On an average, Arif sells 10 dozens of apple per day and Karim sells 12 dozens of apple per day. Arif’s selling price is 1.5 times as much as that of Karim’s. If Karim’s weekly sales is Tk. 4,200, what is Arif’s weekly sales in taka?
        A) 4,800         B) 5,000         C) 5,250         D) 5,500         E) none of these

37. The sum of 6 consecutive odd integers exceeds twice the biggest integer by 38. Find sum of the
six numbers.
        A) 42         B) 50     C) 57         D) 60         E) 72

38. A picnic was attended by 240 persons. There were 20 more men than women and 20 more adults than children. How many men were there in the picnic?
        A) 240         B) 75         C) 110         D) 130         E) 200

39. If 3<x<7 and 5>y>2, which of the following must be true?
        A) x + y > 8             B) x – y > 0         C) x – 2y < 2
        D) 2x – y > 1            D) none of these

40. The price for a TV is 120% of its cost. The TV was sold at a 10% discount on the price. If the profit is Tk. 2,400, what is the cost of the TV in taka?
    A) 24,000           B) 27,500          C) 30,000          D) 32,000           E) none of these

41. The import duty on a car is 50% of its cost. An additional supplementary tax of 30% is charged on the cost plus import duty. If the total of import duty and supplementary tax is Tk. 2,85,00, what is the cost of the car?
        A) 3,00,000         B) 3,20,000         C) 3,75,000         D) 4,00,000         E) none of these

42. If 4 is subtracted from one-fourth of a number, result is 20. The number is
        A) 84             B) 92         C) 108             D) 116             E) none of these