Fraction and Decimal

When the numerator of a fraction increases by 4, the fraction increases by 2/3. The denominator of the fraction is:

• ক. 2
• খ. 3
• গ. 4
• ঘ. 6

A glass when full of milk, weighs one kg. When half full it weighs 3/4 kg; what is the weight of the empty glass?

• ক. .45 kg
• খ. 1 kg
• গ. 0.25 kg
• ঘ. 0.5 kg

After filling the car's fuel tank, adriver drove from P and Q and then to R. He used 2/5 of the fuel driving from P and Q. If he used another 7 gallons to drive from Q to R and still had 1/4 of the tank full, what is the capacity of the tank in gallons?

• ক. 20
• খ. 21
• গ. 12
• ঘ. 18

A cake weighting 750 gram has three ingredients: flour, sugar and fruits. There is twice as much as flour as sugar and one and a half times as much as sugar as fruits. What is the quantity of sugar(in grams) in the cake?

• ক. 125 gm
• খ. 50 gm
• গ. 100 gm
• ঘ. 250 gm

A cylindrical jar that can hold 1.5 lilers of water is 7/10 th full. Approximately how much water in liters should be poured out of the jar sothat it becomes 7/10 th empty?

• ক. 0.75
• খ. 0.6
• গ. 0.5
• ঘ. 0.4

If 2/3 of the number of women attending a certain dance is equal to 1/2 the number of men attending, what fraction of thoes attending are women?

• ক. 5/7
• খ. 3/4
• গ. 2/5
• ঘ. 3/7

A man's weekly salary is Tk.P. He saves Tk.M. What fraction of his weekly salary does he spend?

• ক. M/P
• খ. PM/P
• গ. (M - P)/P
• ঘ. (M - P)/M

There are 18 bananas on a tree. If one munkey eats 1/3 of the bananas and another monkey eats 1/3 of the rest, how many bananas are still on the tree?

• ক. 8
• খ. 6
• গ. 4
• ঘ. 16

A gas tank is 1/5 th full and requries 32 gallons more to make it 3/7 th full. What is the capacity of the tank?

• ক. 135
• খ. 140
• গ. 145
• ঘ. 115

A class has 12 boys and 18 girls. What fraction of the class are boys?

• ক. 2/5
• খ. 3/5
• গ. 4/5
• ঘ. 3/2

Which one of the following has the greatest value?

• ক. 1/2
• খ. √.2
• গ. 0.04
• ঘ. √0.02

Which one of the following is the largest?

• ক. 5/6
• খ. 11/14
• গ. 15/20
• ঘ. 12/15

Which of the following is the largest? √0.3, 1/3, 2/5, 3/7, 4/11

• ক. 2/5
• খ. 1/3
• গ. 3/7
• ঘ. 4/11

Which of the following is equal to 5.16 × 100000?

• ক. 51600
• খ. 516000
• গ. 5160000
• ঘ. 5160

0.03 times 0.05 is--

• ক. 0.015%
• খ. 0.015
• গ. 1.5%
• ঘ. 0.15%

A man binds 112 books iin a day and his assistant work 1/4 as fast. How many days will it take them to bind 560 books, if each alone works on alternate days?

• ক. 8
• খ. 4
• গ. 2
• ঘ. 10

How much is .01 x 0.01 x 0.001 =?

• ক. 0.0100
• খ. 0.10000
• গ. 0.000001
• ঘ. 0.0000001

An empty pool is being filled with water at a constant rate, 3/5 th of the pool has filled in 7 hours. How much more time will it take to completely fill the pool?

• ক. 5 hours 20 minutes
• খ. 4 hours 40 minutes
• গ. 4 hours 20 minutes
• ঘ. 2 hours 48 minutes

What is 35% of 11/56 of 160?

• ক. 14
• খ. 12
• গ. 11
• ঘ. 10

Last year the sales of store X in December was 4 times the average of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

• ক. 1/4
• খ. 4/15
• গ. 1/3
• ঘ. 4/11

If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after four strockes?

• ক. 15/16
• খ. 7/8
• গ. 1/4
• ঘ. 1/8

If 1/2 of the trust fund is invested in the stock of BOC, 1/4 is invested in Beximco debenture, 1/5 in ICB mutual Fund and the rest Tk.100000 in Defense Bond, what was the size of the fund?

• ক. 1000000
• খ. 1600000
• গ. 2000000
• ঘ. 2500000

A 5 feet stick is cut into two parts so that one part is 2/3 of the other. How long in inches is shorter segment?

• ক. 3
• খ. 24
• গ. 7/2
• ঘ. 36

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 types of school, what fraction of the class was accepted only by a law school?

• ক. 2/15
• খ. 1/6
• গ. 1/3
• ঘ. 1/2

Of the following fractions which is less than 2/3?

• ক. 7/8
• খ. 5/6
• গ. 3/4
• ঘ. 3/5

Which of the following is equal to 5.90 x 0.01?

• ক. 0.0593
• খ. 0.00593
• গ. 0.000593
• ঘ. 59300

When number 6 is added to 1/3 of a number, the result is 28. What is that number?

• ক. 44
• খ. 66
• গ. 42
• ঘ. 84

A cake is divided into 18 pieces. If Mohiuddin takes 1/3 of the cake and Morshed takes 1/3 of the rest that are left, how many pieces are still left?

• ক. 4
• খ. 6
• গ. 8
• ঘ. 10

5.125/2.223 =?

• ক. 2.053
• খ. 2.305
• গ. 2.501
• ঘ. 2.522

On a bus all the children's fare is Tk.840. If the fare of one children is Tk.60 which is 3/4 of the adult's fare, calculate the adult fare.

• ক. Tk.80
• খ. Tk.140
• গ. Tk.120
• ঘ. Tk.100

Four litres of milk are to be poured into a 2-litre bottle and a 4-litre bottle. If each bottle is to be filled to the same fraction of its capacity, how many litres of milk should be poured into the 4-litre bottle?

• ক. 8/3
• খ. 7/3
• গ. 5/2
• ঘ. 2/3

A salesman's income consists of his salary and commission. His monthly salary is Tk.8000. During one month the commission he earned was 5/4 of his salary. What fraction of his income for that month came from commission?

• ক. 5/9
• খ. 5/8
• গ. 4/5
• ঘ. 3/5

0.02 times 0.7 is:

• ক. 14%
• খ. 1.4%
• গ. 0.14%
• ঘ. 0.014

If one number exceeds another number by 12 and the smaller number is 1/3 time the larger number, then the larger number is:

• ক. 25
• খ. 18
• গ. 15
• ঘ. 20

A painter has painted 1/3 of a rectangular wall that is 12 feet high. When he will paint another 50 square feet of the wall he will have finished 50% of the job. What is the length of the wall?

• ক. 25
• খ. 50
• গ. 15
• ঘ. 20

Each of two groups of tourists has 60 people. If three-fourth of the first group and two-third of the second group board buses to travel to a museum, how many more people of the first group board buses than that of the second group?

• ক. 5
• খ. 6
• গ. 10
• ঘ. 15

On a certain map 1/2 inch represents 75 miles. If the distance between two towns on this map is 9/2 inches, what is the actual distance between the two towns?

• ক. 15 miles
• খ. 162 miles
• গ. 337.5 miles
• ঘ. 375 miles

What is the best possible result for the problem 8/35 ÷ 4/15 =?

• ক. 1/2
• খ. 6/7
• গ. 32/525
• ঘ. 7/6

Which of the following fraction is smaller than 8/9 and greater than 2/5?

• ক. 3/7
• খ. 3/8
• গ. 7/18
• ঘ. 9/23

Which of the following fraction is the smallest?

• ক. 2/9
• খ. 5/8
• গ. 1/2
• ঘ. 7/12

3.002/2.002 =?

• ক. 1.05
• খ. 1.5015
• গ. 1.501
• ঘ. 1.5015

Which one of the following is the largest?

• ক. 1/2
• খ. 7/15
• গ. 49/100
• ঘ. 126/250

One-half of the employees of a company earns over Tk.18000 per month. One-third of the remainder earns between Tk 15000 to Tk.18000. What part of the staff earns below Tk.15000?

• ক. one-sixth
• খ. two-thirds
• গ. 50%
• ঘ. 10%