২২৬১১
Kibria went to the swtationers and bought things worth Tk 25 out of which 30 paisa was sales tax on taxable items. If the tax rate is 6% , then what was the cost of the tax free items?
উত্তর
Tk 19.70
সমাধান
Let the amount taxable payments be Tk. x
According to question, 6% of x = 30/100
x = (30/100 ×100/6
x = 5
Cost of tax free items = [ 25 - (5 + . 30)] = tk.19.70
২২৬১২
If 2x=7 and 3y=2, then what is the value of 9xy?
উত্তর
21
সমাধান
(2x)(3y) = 7×2
= > 6xy = 14
Multiply both sides by 3/2
∴9xy = 21
২২৬১৩
A towel, when bleached, was found to have lost 20% of its length and 10% of its breath. what is the percentage of decrease in area?
উত্তর
28%
সমাধান
Let, original length = x
and original breadth = y
Decrease in area = xy - ( 80x/100×90y/100) = ( xy - 18xy/25) = 7xy/25
Decrease % = ( 7xy/25 ×1/xy ×100%) = 28%
২২৬১৪
A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?
উত্তর
30 mph
সমাধান
d = s x t
= 50 x 3
= 150
now distance left
= 180 - 150
= 30
thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour
২২৬১৫
A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the area of the smaller field is K units, what is the area of the larger field?
উত্তর
8K
সমাধান
Let the length and width of the smaller field be L and W respectively.
So, area of the smaller field, K = L×W
Now, area of the larger field = 2L×4W = 8 L×W = 8K
২২৬১৬
If Tk. 45,000 was invested in a share when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 60, what was the average price per share purchased?
উত্তর
Tk. 75
সমাধান
Total investment = 45000 + 30000 = 75000
Number of shares bought by at 90 TK rate = 45000/90 = 500
Number of shares bought at 60 TK rate = 30000/60 = 500
Total number of shares bought = 500 + 500 = 1000
Average share price = 75000/1000 = 75 TK
২২৬১৭
Of the followings, which is the largest?
উত্তর
126/250
সমাধান
½=0.57/15=0.4749/100=0.49126/250=0.504that means the last one is greatest
২২৬১৮
If an integer Y is subtracted from an integer X and the result is greater than X, then Y must be ---
উত্তর
Less than O
সমাধান
x - y > x
x = 1 এবং y = - 1 হলে, x - y = 1 - ( - 1) = 2>1
x = 1 এবং y = - 2 হলে, x - y = 1 + 2 = 3 >1
y <0 হলে x - y > x শর্তটি সিদ্ধ হয়।
২২৬১৯
If 2x+7=12, then what is the value of 4x-7?
উত্তর
3
সমাধান
2x + 7 = 12
= > 2x = 12 - 7
= > 2x = 5
= > x = 2.5
4x - 7 = 4. 2.5 - 7 = 10 - 7 = 3
২২৬২০
When a certain number is divided by 7, the remainder is O. But the remainder in not O if the number is divided by 14, what is the number?
উত্তর
7
সমাধান
The number should be multiple of 7
Let, the number be 21
Now, (21/7) = 3, reminder 0
And (21/14) = 1, reminder 7