২২৮০১
Of the fruits that arrive at the cannery, 20 percent by weight is rejected before processing. Of the fruit that is processed, 15 percent by weight is rejected before canning. Of the fruit that arrives at the cannery. what percent by weight is canned?
উত্তর
68%
সমাধান
Let Fruits arrived at cannery = 100
Selected for processing = 100 20 = 80
Percentage of canned fruits = 80 (80 × 15/100) = 68% (ans)
২২৮০২
A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?
উত্তর
335
সমাধান
Profit on first 1000 TK sale = 6% of 1000 = 60 TK.
Profit on the rest (6000 - 1000 = 5000) TK sale = 55×5000/1000 = 275 TK.
Total profit = 60 + 275 = 335 TK
২২৮০৩
If 40% of all women are voters and 52% of the population are women, what percent of the population are women voters?
উত্তর
20.8
সমাধান
মনে করি, মোট জনসংখ্যা = 100 জন
Women দের সংখ্যা = 52 জন
Women দের ভোটার সংখ্যা = 52×(40/100)
= 20.8
২২৮০৪
If 15 men working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men working independently and at the same rate manufacture in 40 minutes?
উত্তর
54
সমাধান
Here, 1 hour = 60 minutes
Now, 15 men in 60 minutes can manufacture 27 baskets
Then, 45 men in 40 minutes can manufacture = 27×45×40/(15×60) = 54 baskets
২২৮০৫
A man walks 30 minutes at an average speed of 3 miles/hour. He waits 10 minutes for a bus, which bring him back to his starting point at 3:15. If he began his walk at 2:25 the same afternoon, find the average speed of the bus?
উত্তর
9 mph
সমাধান
Here, 2:25 pm to 3:15 pm = 50 minutes
Time taken by bus = 50 - (30 + 10) = 10 minutes = 10/60 hour = 1/6 hour
The man walked for = 30 minutes = 30/60 hour = 1/2 hour
He walked = 3×1/2 = 3/2 miles
So, speed of the bus = 3/2 ÷ (1/6) = 9 miles per hour
২২৮০৬
If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile?
উত্তর
5 minutes
সমাধান
5 students take 5 minutes to run a mile.50 students also take same time to run a mile.
২২৮০৭
Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix?
উত্তর
5
সমাধান
Let the amount of coffee A and coffee B mixed be A and (10 - A) pounds respectively.
Now, A×75 + (10 - A)×80 = 10×78
or, 75A + 800 - 80A = 780
or, 80A - 75A = 800 - 780
or, 5A = 20
or, A = 4 pounds
২২৮০৮
In redesigning a cold storage, the length is increased by 30% , the breadth is increased by 50% and the height is reduced by 20%. what is the net increase in the volume of the redesigned cold storage compared to the previous design?
উত্তর
56%
সমাধান
Let, length, width and height of the cold storage are respectively l, w and h.
so, volume = lwh
New length = l + 30/100 l = 1.3 l
New width = w + 50/100 w = 1.5 w
New height = h - 20/100 h = 0.8 h
so, new volume = 1.3 l * 1.5w * 0.8 h = 1.56 lwh
increase in volume = (1.56 - 1)lwh = 0.56 lwh
percentage increase in volume = 0.56 * 100% = 56%.
২২৮০৯
Murad bought equal numbers of 20-paisa and 30-paisa stamps. If the total cost of the stamps was Tk. 10.00, What was the total number of stamps bought?
উত্তর
40
সমাধান
ধরা যাক মুরাদ x সংখ্যক ২০ পয়সা টিকেট এবং x সংখ্যক ৩০ পয়সা টিকেট কেনেছেন। একটি ২০ পয়সা টিকেটের দাম ০.২০ টাকা এবং একটি ৩০ পয়সা টিকেটের দাম ০.৩০ টাকা। সমস্ত টিকেটের মোট দাম ১০.০০ টাকা হলে, আমরা নিচের সমীকরণটি লেখতে পারি:0.20x + 0.30x = 10.00এই সমীকরণটি সহজ করতে, আমরা লিখতে পারি:0.50x = 10.00সুতরাং,x = 10.00 / 0.50x = 20তাই মুরাদ ২০টি ২০ পয়সা টিকেট এবং ২০টি ৩০ পয়সা টিকেট কেনেছেন, মোটমতে ৪০টি টিকেট কেনা হয়েছে।
২২৮১০
The difference between two positive numbers is 16. If the smaller of these two numbers is 3/5 of the larger, what is the value of the smaller number?
উত্তর
24
সমাধান
Let the larger and smaller numbers be X and 3X/5 respectively.
Then, X - 3X/5 = 16
or, (5X - 3X)/5 = 16
or, 2X = 80
or, X = 40
So, the smaller number, 3X/5 = 3×40/5 = 24