২২৭৯১
The interest charged on a loan is Tk. p per Tk. 1,000 for the first month and Tk. q per Tk. 1,000 for each month after the first month. How much interest will be charged during the first three months on a loan of Tk. 10,000?
উত্তর
10p+20q
সমাধান
For the first month interest of Tk 10000 = 10pFor the second & third month interest of Tk 10000 = 10q + 10q = 20qTotal interest = 10p + 20q
২২৭৯২
A man invests Tk. 9,00,000 in a share earning Tk. 9 as dividend per share, when a share of face value of Tk.100 is selling for Tk. 150. What is his annual income?
উত্তর
Tk. 81,000
২২৭৯৩
An overnight express firm charges Tk. 2 per kg for the first 10 kg of packet weight and Tk. 1 for each kg of or fraction of kg over 10 kg of packet weight. How much will it charge to ship a package which weighs 17.5 kg?
উত্তর
28
২২৭৯৪
If the side of a square decreases by 30%, then the area of the square decreases by:
উত্তর
51%
সমাধান
Suppose the of the square = a
The area of the square = a2
Now the sides are reduced by 30% .
So its new side = 7a/10
New area = 49a2/100
So by reducing the diagonals of the square by 30%, the area
becomes (a2 49a2/100)*100/a2 = 51% of the original. (ans)
২২৭৯৫
How many of the integers between 150 and 160 are prime numbers?
উত্তর
2
সমাধান
between 150 and 160 there are 2
prime numbers.
151 and 157
২২৭৯৬
(-5)(4)(2) (-1/2) (3/4) =?
উত্তর
15
সমাধান
( - 5)(4)(2)( - 1/2) (3/4)
= (−5) ×4 ×2 ×(−1) ×3 / (2 ×4)
= 15 (ans)
২২৭৯৭
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books form this shelf include at least 1 paperback book?
উত্তর
55
সমাধান
Selections of 4 books out of 8: 8C4 = 70;
Selections of 4 hardback books out of 6 (so none paperback):
6C4 = 15;
At least One paperback = {total} - {none} = 70 - 15 = 55. (ans)
২২৭৯৮
If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?
উত্তর
6 hrs, 40 mins
সমাধান
Here, 4 hours = 240 minutes
Now, 50 workers can dig the hole in 240 minutes
So, 30 workers can dig the hole in 240×50/30 = 400 minutes = 6 hours 40 minutes
২২৭৯৯
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?
উত্তর
1/3
সমাধান
We need to determine the probability that a coin lands on the
same side for all 3 tosses of the coin. This means that the 3 -
toss outcome will be either H - H - H or T - T - T.
P(T - T - T) = 1/2 x 1/2 x 1/2 = 1/8
P(H - H - H) = 1/2 x 1/2 x 1/2 = 1/8
Thus, the probability that the coin lands on the same side
each time is 1/8 + 1/8 = 2/8 = 1/4. (ans)
২২৮০০
The angles of a triangle are in the ratio of 2: 3: 4. The largest angle in the triangle is:
উত্তর
80 degree
সমাধান
the sum of all angles of a triangle is 180 .
2x + 3x + 4x = 180
= > 9x = 180
= > x = 180/9
∴ x = 20
the largest angle is 20×4 = 80 degree