২৩২৬১
Mr. Hashem owns a mango garden withs 220 mango trees in it. Each mango tree of that garden produces from 20 to 30 pounds of mangoes each year. Which of the following could be the total number of pounds of mangoes produced per year?
উত্তর
5,400
সমাধান
Minimum production = 220×20 = 4400 pounds
Maximum production = 220×30 = 6600 pounds
So, production will be 4400 to 6600 pounds per year.
২৩২৬২
If 3 is added to both the numerator & the denominator of a fraction, it becomes 5/7. If 9 is subtracted from both the numerato & denominator, it become 1/3. What is the fraction?
উত্তর
12/18
২৩২৬৩
If 25% of 220 equals 5.5% of w, then what is w?
উত্তর
1,000
সমাধান
Here, 5.5% of w = 25% of 220
or, 5.5/100 of w = 25/100 of 220
or, w = (25/100)×220×(100/5.5) = 1000
২৩২৬৪
In a certain village, m liters of water are required per household per month. At this rate if there are n households in the village, how long (in months) will p liters of water last?
উত্তর
p/mn
২৩২৬৫
If 4x larger than the sum x & 3y by 9, then x is larger than y by how much?
উত্তর
9
সমাধান
Here, 4x = x + 3y + 9
or, 4x - x - 3y = 9
or, 3x - 3y = 9
or, 3(x - y) = 9
or, x - y = 9/3 = 3
২৩২৬৬
Experts say that 25% of all serious bicycle accidents involve head injuries and of all such head injuries, 80% are fatal. What percentage of all serious bicycle accidents involve fatal head injuries?
উত্তর
20%
২৩২৬৭
Brighto soap powder is packed in cubeshaped cartons. A carton measures 10 cm on each side. The company has decided to increase the length of each edge of the carton by 10%. How much has the volume increased? (cc = cubic centimeters)
উত্তর
331 cc
সমাধান
Initial volume = 103 cc = 1000 cc
New side length = 10 + 10% of 10 = 10 + 1 = 11
New volume = 113 cc = 1331 cc
Increase in volume = 1331 - 1000 = 331 cc
২৩২৬৮
A 45,000 liter water tank is to filled at the rate 220 liters per minute. Estimates to the nearest half hour, how long it will take to fill the tank?
উত্তর
3.5 hours
সমাধান
Assume that the tank fills in x minutesBy Direct Proportion,x1/y1 = x2/y2220/1 = 45000/xx = 45000/220x = 204.54 x = 205 minutes (approx.)Divide x by 60 in order to convert from Minutes to Hours⇒ 205/60 = 3.41 hoursEstimating to nearest half hours, The 45000 L tank is filled in 3.5 hours at the rate of 220 L/m
২৩২৬৯
If there are 300 calories in 100 grams of a certain food, how many calories are there in a 30 gram certain of that food?
উত্তর
90
২৩২৭০
If x+y=4 and x-y=3, then x+2y is:
উত্তর
4.5
সমাধান
Here, x + y = 4
And, x - y = 3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
So, 2x = 7 [by addition]
or, x = 7/2 = 3.5
So, 3.5 + y = 4 [from first equation]
or, y = 4 - 3.5 = 2.5
Then, x + 2y = 3.5 + 2×0.5 = 3.5 + 1 = 4.5