32.5
35
36
37.5
প্রশ্নঃ A class of 20 girls and 30 boys arranged a picnic. However, only 30% of the girls and 40% of the boys attended the picnic. What percent of the class attended the picnic?
বর্ণনাঃ
No. of girls attended picnic = 20 × 30% = 6
No. of boys attended picnic = 30×40% = 12
% of students attended picnic = 18/50 × 100% = 36 %
i only
ii only
iii ony
i and ii
প্রশ্নঃ If x and (x+11)/2 are integers, which of the following must be true? i. x is odd ii. x is a multiple of 9 iii. (x +9)/2 is an integer
বর্ণনাঃ
x odd হলেই x + 11 even হবে। তাই 2 দিয়ে ভাগ যাবে।
Similarly, x + 9, 2 দ্বারা বিভাজ্য।
but x, 9 এর. multiple হতে পারে but must নয়।
(x-400)/6
(5x-400)/6
25x/36-400
(25x-400)/36
প্রশ্নঃ Munir bought a TV on credit for Tk x. He has to pay the money in three months. In the first month he paid 1/6th of the amount. In the next month he paid 1/6th of the remaining amount plus Tk.400. In terms of x, how much does he have to pay in the third month?
বর্ণনাঃ
In the first month paid, x/6 Tk.
Remaining = x - x/6 = Tk.5x/6
In the 2nd month paid y = 1/6 × 5x/6 + 400
= 5x /36 + 400
Remaining for 3rd month = ( 5x /6 - 5x /36 - 400) = 30x - 5x /36 - 400 = 25x/36 - 400
4860
4875
4900
4960
প্রশ্নঃ At a certain store, a chair was on sale for Tk. 5000. As the manager thought he could get more money for the chair, he increased its price by 8 percent. After a week the chair had not been sold. The manager then reduced the last price by 10%, and the chair was sold. For how much was the chair sold?
বর্ণনাঃ
After 8% increase new price = tk. 5000×108/100 = Tk.5400
Again after 10% reduction on last price, new price = Tk.5400 × 90/100 = Tk.4860
1/20
1/200
1/2000
1/5
n + 2p
np + 1
n + p
2n + p
3n - 13
3n -8
3n + 2
3n +8
প্রশ্নঃ Jafar is n years old. Moin in 5 years younger than Jafar and 3 years older than Arif. What is the sum of the ages of all three?
বর্ণনাঃ
Jafor = n years old
So, Moin = ( n - 5) years old
So, Arif = ( n - 5 - 3) or ( n – 8) years old
Sum of these ages = ( n + n - 5 + n - 8) = 3n - 13
10
15
17.5
20
45
50
54
60
40%
50%
60%
66.66%
প্রশ্নঃ Faruk can complete a task in 20 days. He gets 2 assistants- each of whom can work 1/2 as fast as he does. If all of them work together for 5 days, what percentage of the task will be completed?
বর্ণনাঃ
This can be done easily by the following way.
যেহেতু ফারুকের দুই. Assistant তার সমান কাজ করবে ( 1/2 each), so total কাজ করতে তিনজনের মোট 20/2 = 10 দিন লাগবে।
So 5 days এ 50% কাজ হবে।
0.045%
0.45%
4.5%
45%
(s+12)/2
(s-12)/4
(s+6)/4
(s-6)/4
প্রশ্নঃ If the sum of four consecutive even integers is s, what is the greatest of the integers in terms of s?
বর্ণনাঃ
একটা চিন্তা করে দেখেন S কে চার দিয়ে ভাগ করলে ২য় ও ৩য় even number এর মাঝের integer টা আসবে।
( 2 + 4 + 6 + 8 = 20/4 = 5)
4th one is s/4 + 3 = s + 12 /4
12
16
24
32
প্রশ্নঃ Six men can complete a work in 5 days if they work for 8 hours per day. How many days will 4 men take to do the same work if they work only 5 hours per day?
বর্ণনাঃ
6 men if works 8 hours /day need 5 days
4 men if works 5 hours/day need = ( 5×6×8)/ 4×5 = 12 days
40
42
45
50
প্রশ্নঃ A television producer sold 150 televisions in a special 6-day sale offer. During the sale offer, each day the company sold 6 more televisions than what was sold the day before. How many televisions were sold on the 6th day?
বর্ণনাঃ
Sum = n/2 [ 2a +( n – 1) d ]
বা, 150 = 6/2 [ 2 × x + ( 6 - 1) × 6 ]
বা, 300 = 6 [ 2x + 30 ]
বা, 300 = 12x + 180
বা, x = 10
Sell at 6th day = 10 + ( 6 - 1) 6 = 10 + 30 = 40
10
12
15
18
40 mins
42.5 mins
45 mins
45.5 mins
প্রশ্নঃ Kalam loves chocolates. He can eat 32 of them in an hour. His brother Jamal needs 3 hours to eat the same amount. How long will it take them together to eat 32 chocolates?
বর্ণনাঃ
In 1 hour kalam can eat 32 chocolates
In 1 hour jamal can eat 32 /3 chocolates
In 1 hour they both can eat ( 32 + 32 / 3) chocolates = 128/3 chocolates
128/3 chocolates eat both of them in 1 hour
32 chocolates eat both of them in = 3 × 32 /128 × 60 min = 45 min
1 years
2 years
3 years
4 years
Tk. 3
Tk. 4
Tk. 5
Tk. 8
10 yards
18 yards
28 feet
32 feet
প্রশ্নঃ If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?
বর্ণনাঃ
Perimeter দেয়া আছে কিন্তু yard এ। অনেকে feet হিসাব করে
Let, width be x
2 ( 36 + x) = 44 × 3
বা, 36 + x = 66
বা, x = 30 feet of 10 days
5 : 8
5 : 7
7 : 8
8 : 7
100
80
70
60
5
6
7
9
প্রশ্নঃ Govt. Laboratory High School has 10 members in its chess team and 14 members in its science club. Five students at the school belong to both the chess team and the science club. How many students belong to only the chess team?
বর্ণনাঃ
Let, n ( C) = 10
n( S) = 10
n (C n S) = 5
Students belong to only chess team = n(C) - n ( Cn S) = 10 - 5 = 5
4%
5%
6%
7%
প্রশ্নঃ What simple interest rate will Sumon need to secure to make Tk. 2,500 in interest on a Tk. 10,000 principal over 5 years?
বর্ণনাঃ
Interest of 10, 000 for 5 years is 2500
Interest of 100 for 1 years is = ( 2500 ×100)/( 10, 000× 5) = 5
Interest rate = 5%
25%
33.33%
45%
66.66%
7/8
5/6
3/4
3/5
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