২২৩৬১
If 1/5-1/3=x/30, the value of x?
উত্তর
-4
সমাধান
x/30 = 1/5 - 1/3
or, x/30 = (3 - 5)/15
or, x/30 = - 2/15
or, x = ( - 2)*30/15
or, x = - 4
২২৩৬২
The element in the position marked by __ in the series B, D, F,......, 11,_____ is
উত্তর
13
সমাধান
এখানে B + 2 = D, D + 2 = F,তাই 11 + 2 = 13.
২২৩৬৪
How much is the weight of 5 liter of water if 1 cc of it weighs 1gm?
উত্তর
5kg
সমাধান
5 liter = 5000cc = 5000g = 5kg
২২৩৬৫
The average age of 6men, 8women and 1 young boy is 35 years. What is the age of the boy,if the average age of the men is 40 and that of the women is 34?
উত্তর
13
সমাধান
The total number of persons = 6 + 8 + 1 = 15
The total age of all of them = 15x35 = 525
The total age of 6 men = 6x40 = 240
The total age of 8 women = 8x34 = 272
Therefore, the age of the boy = 525 - (240 + 272) = 13
২২৩৬৬
If the area of a square increases by 69%, then the side of the square increases by ---
উত্তর
30%
সমাধান
Let the initial side of the square be X.
Initial area = X2
New area = X2 + 69% of X2 = 169% of X2 = 169 / 100 x X2 = 1.69X2
So, new side = √(1.69X2) = 1.3X
Therefore, increase in side = (1.3X - X) / X x 100% = 30%
২২৩৬৭
If x/y=4 and y is not 0, what percentage (to the nearest percent) of x is 2x-y?
উত্তর
175%
সমাধান
Here, x / y = 4
or, x = 4y
or, 2x = 8y
or, 2x - y = 8y - y
or, 2x - y = 7y
Now, (2x - y) / x = 7y / 4y
or, 2x - y = 7 / 4 x 100%
So, 2x - y = 175% of x
২২৩৬৮
A train leaving Dhaka at 6am reaches Mymansing at 10 am and another train leaving Mymensing at 7 am and reaches Dhaka at 12 noon. At what time the two trains running opposite direction should meet?
উত্তর
8.40am
সমাধান
Let , after t hours of Train A's strat(6.00 a.m) they will meet ,therefore Train B will run for( t - 1) Hour as it starts at 7.00 am.Take distance = 100So, first train's speed = 100/4 = 25kmphSecond train's speed = 100 /5 = 20 kmphWe can built the equation based on distance covered by both train.25*t + 20(t - 1) = 10045*t = 120t = 120/45t = 8/3So t hours = 8/3 = 2hrs 40 minutesTherefore they will meet at (6 am + 2 hrs 40 min) = 8: 40 am
২২৩৬৯
A borrower pays 18% interest per year on the first Tk. 600 he borrows and 17% per year on the part of the loan in excess of Tk. 6000. How much interests will the borrower pay on a loan of Tk. 6000 for one year?
উত্তর
1026
সমাধান
Interest, I = P n r
Interest for first 600 TK = 600 x 1 x 18/100 = 108 TK
Money borrowed above 600 TK = 6000 - 600 = 5400 TK
Interest on 5400 TK = 5400 x 1 x 17/100 = 918 TK
Total interest = 108 + 918 = 1026 TK
২২৩৭০
A bank recruited 126 new employees and found that the total number of its employees has increased by 14%. What was the number of employees in the bank before the new recruitment?
উত্তর
900
সমাধান
No. of employee*percentage increase = no. of increase
Or, No. of employee*0.14 = 126
Or, No. of employee = 126/0.14 = 900