২২৯২১
An empty swimming pool with a capacity of 5,760 gallons is filled a rate of 12 gallons per minute. How many hours does it take to fill the pool to capacity?
উত্তর
8
সমাধান
Filled 12 gallons in 1 min
Filled 5760 gallons in = 5760 /12 min
= 5760/( 12 ×60) hours
= 8 hours
২২৯২২
A rope of 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?
উত্তর
11
সমাধান
Let x = the length of the shorter piece
So, x + 18 = the length of the longer piece
Since the lengths of the two pieces must add to 40 feet, we can write: x + (x + 18) = 40
= > 2x + 18 = 40
= > 2x = 40 - 18
= > 2x = 22
∴ x = 11
২২৯২৩
A 10% monthly salary increase resulted in a Tk. 9,000 per year increase in salary for an employee. What was his monthly salary before the increase?
উত্তর
Tk. 7,500
সমাধান
Yearly increase = 9000 tk
Monthly increase = 9000/12 = 750 tk
10% of Salary is = 750 tk
100% of Salary is = (750×100)/10 = 7500 tk
২২৯২৪
The cost of picture frame M is Tk. 10.00 less than 3 times the cost of picture frame N. If the cost of frame M is Tk. 50.00, what is the cost of frame N?
উত্তর
Tk. 20.00
সমাধান
Cost price of N = x
Cost price of M = 3x - 10
3x - 10 = 50
= > 3x = 60
= > x = 60/3
∴x = 20
২২৯২৫
The average of four consecutive odd positive integers is always ---
উত্তর
an even number
সমাধান
example:
1 + 3 + 5 + 7 = 16
average = 16/4 = 4
even number
২২৯২৬
At a selling price of Taka 275 a book yields 25% profit. What selling price will yield the profit of 10%?
উত্তর
242
সমাধান
Percentage elling price at 25% profit = 100 + 25 = 125 TK
Percentage selling price at 10% profit = 100 + 10 = 110 TK
If parcentage selling price is 125 TK then actual selling price is 275 TK
So, parcentage selling price is 110 TK then actual selling price is 275×110/125 = 242 TK
২২৯২৭
If Tk. 45,000 was invested in the share market when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 100, what was the average price per share purchased?
উত্তর
Tk. 93.75
২২৯২৮
Of the 65 cars on a car lot, 45 have air conditioning, 30 have power windows, and 12 have both air conditioning and power windows. how many of the cars on the lot have neither air conditioning nor power windows?
উত্তর
8
সমাধান
Cars having atleast one of the facilities = 45 + 30 - 12 = 63
Cars having neither of the facilities = 65 - 63 = 2
২২৯২৯
If the following series continues to follow the same pattem, what will be the next number: 2, 6, 3, 9, 6-----
উত্তর
18
সমাধান
in each pair, 2nd number is three times of 1st number,
so blank number = 6*3 = 18
২২৯৩০
A stock decreases in value by 20%. By what percentage must the stock price increase to reach its former value?
উত্তর
25%
সমাধান
Let the initial value be A.
Decreased value = A - 20% of A = A - 0.2A = 0.8A
Increment required to reach initial value = (A - 0.8A)/(0.8A)×100% = 25%