২২৫৪১
Mr. Ahsan is insured competely for Tk. 50,000 of damages to his car. For any damage avove Tk. 50,000 the insurance company will pay tk 50,000 plus 20% of the rest of the company. what was the total amount of the damage estimated?
উত্তর
Tk.80,000
সমাধান
Damage insured = Tk. 50000
Damage paid by company = Tk. 56000
Damage extra paid = 6000
Now, 20% = 6000
10% = ( 6000×100)/20 = 30000
Total estimated damage = Tk ( 50, 000 + 30, 000) = Tk. 80, 000
২২৫৪২
50 men took a dip in a water tank 40m long and 20m broad on a religious day. If the average displacement of water by a man is 4 m3 , then the rise in the water level in the tank will be --
উত্তর
25 cm
সমাধান
Total volume of water displacement = 4×50 = 200m3
Rise of water level = 200/(40×20) m = . 25m = 25 cm
২২৫৪৩
Buffet dinner at a restaurant costs Tk 35.50. If the sales tax was more than 10 percent but less than 15 percent of the pre-tax cost of the dinner, then the total amount paid must have been between--
উত্তর
Tk 39 & Tk 41
সমাধান
The minimum value of 10% including tax = 35.50 + 3.55 = 39.05
and the maximum value of 15% including tax = 35.50 + 5.325 = 40.825
So, the total amount will be paid Tk. 39 and tk. 41
২২৫৪৪
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car ,then the share of each of the remaining persons will be increased by -
উত্তর
1/7
সমাধান
Original share of 1 person = 1/8
New share of 1 person = 1/7
Increase = ( 1/7 - 1/8) = 1/56
Required fraction = (1/56) / (1/8) = 1/7
২২৫৪৫
A two -digit number is such that the product of the digits is 8. when 18 is added to the number , then the digits are reversed. what is the number?
উত্তর
24
সমাধান
Quickly add 18 to the given answer
24 + 18 = 42 digits are reversed.
২২৫৪৬
The present ages of three persons are in the ratio of 4: 7:9 Eight years ago, the sum of their ages was 56. what are their present ages in years?
উত্তর
16, 28, 36
সমাধান
Let, their present ages be, 4x, 7x, 9x respectively
Then, ( 4x - 8) + ( 7x - 8) + ( 9x - 8) = 56
20x = 80
x = 4
Present ages are 4x = 16, 7x = 28 and 9x = 36 years
২২৫৪৭
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?
উত্তর
125
সমাধান
Original area = A1 = π(d1)2/4
New area = A2 = π(d2)2/4
A1/A2 = d22/d12 = (1.5)2 = 2.25
A2 = 2.25A1
So, increase = 2.25A1 - A1 = 1.25A1
This is an increase of 125%
২২৫৪৮
A water tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tankfrom empty state if B is used for half the time , and A B fill it together for the other half?
উত্তর
30 min
সমাধান
Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24
Suppose , the tank is filled in x minutes
Then x/2 ( 1/24 + 1/40) = 1
x/2 × 1/15 = 1
x = 30 min
২২৫৪৯
A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it?
উত্তর
12 hours
সমাধান
A 1 hour work = 1/4
(B + C) 1 hour work = 1/3
(A + C) 1 hour work = 1/2
(A + B + C) 1 hour work = (1/4 + 1/3) = 7/12
B 1 hour work = ( 7/12 - 1/2) = 1/12
B alone will take 12 hour to do the work.
২২৫৫০
If a person walks at 14 km/jr omstead pf 10 km /hr , he can cover 20 km more. The actual distance traveled by him is--
উত্তর
50 km
সমাধান
Let, the actual distance travelled be x km
Then, x/10 = (x + 20)/14
14x = 10x + 200
4x = 200
x = 50 km