২১৯৫১
কামাল বশিরের ৬ বছরের ছোট। বশির টুটুলের ৫ বছরের বড়। কামাল ও টুটুলের বয়সের পার্থক্য কত?
উত্তর
0
সমাধান
মনে করিটুটুলের বয়স = ১বশিরের বয়স = ১+৫ =৬কামাল= (১+৫) – ৬কামাল= ৬-৬ = ০
২১৯৫২
A certain sum of money consists of 30 coins, some of which are 10 paisa coins and the rest are 5 paisa coins. If the total value of the coins is Tk. 2, what is the number of 10 paisa coins?
উত্তর
10
সমাধান
If the number of 10 paisa coins is T then the number of 5 paisa coins is (30 - T).
2 TK ≡ 200 paisa
ATQ, 10T + 5(30 - T) = 200
Or, 10T + 150 - 5T = 200
Or, 5 T = 200 - 150
So, T = 10.
২১৯৫৪
Three boys have marbles in the ratio of 19:5:3. If the boy with the least number of marbles has 9 marbles, how many marbles does the boy with the greatest number have?
উত্তর
57
সমাধান
Smaller ratio 3 = 9
So, Smaller ratio 1 = 9/3 = 3
Now,
Highest ratio 19 = 19×3 = 57
২১৯৫৫
Aslam drove west 10 miles, south 5 miles, west 30 miles and north 35 miles to avoid paying a toll on a direct road. What is the length of the toll road in miles?
উত্তর
50
সমাধান
Aslam drove west 10 miles, south 5 miles, west 30 miles, and north 35 miles = west 40 miles, north 30
so we get, (30)2 + (40)2 = n2
or,900 + 1600 = n2
or,2500 = n2
∴n = 50 or - 50
Throwing out the negative answer, we get the distance to be 50 miles
ans: 50 miles
২১৯৫৬
A wholesaler sells goods to a retailer at a profit of 20%. The retailer sells to the customer.who pays 80% more than the cost of the wholesaler. What is the retailer's profit?
উত্তর
50%
সমাধান
Let the cost of the wholeselle be W.
Then, Buying price of the retailer = 1.2W
The customer pays = W + 0.8W = 1.8W
So, profit of the retailer = (1.8 - 1.2)/1.2 x 100% = 50%
২১৯৫৭
১৫ জন লোক একটি কাজ ৪২ দিনে করতে পারে। ঐ কাজটি ১৮ দিনে শেষ করতে কত জন লোক লাগবে?
উত্তর
৩৫ জন
সমাধান
৪২ দিনে শেষ করে ১৫ জন লোক
১৮ দিনে শেষ করে = ১৫ x ৪২ / ১৮ = ৩৫ জন লোক
২১৯৫৮
Last year I bought 1000 shares of Sunshine Enterprises at TaKa 17.25 per share. Today the stock is quoted at TaKa 17,375. How much profit shall I make by selling all the shares today?
উত্তর
125
সমাধান
Cost of share = 17.25 x 1000 = 17250 TK.
Profit = 17375 - 17250 = 125 TK.
২১৯৫৯
Muzahid wants to borrow Tk. 2,00,000 from a bank. The amount with interest rate of 15% is to be repaid 18 months from now. How much will be the repayment amount?
উত্তর
Tk. 2,45,000
সমাধান
here,
r = 15/100
t = 18/12 yr
so,Interest, I = (200000×15×18)/(12×100)
= 45000 tk
so, total repayment amount = 200000 + 45000
= 245000tk
ans: 245000tk
২১৯৬০
Two blends of tea costing $2.80 and $3.20 per kg respectively are mixed in the proportion 2: 3. The mixture is sold at $4.80 per kg. What is the percentage of profit?
উত্তর
57.9
সমাধান
Let the amount of tea blends be 2T and 3T respectively.
Then total cost = 2T x $2.8 + 3T x $3.2 = $15.2T
Total sell = (3T + 2T) x $4.8 = $24T
So, profit = (24T - 15.2T) / 15.2T x 100% = 57.9%