২২৬৩১
If one number exceeds another by 13 and the larger number, is 3/2 times the smaller number, then the smaller number is ---
উত্তর
26
সমাধান
If we assume the smaller number to be n,
Then the larger number = 3n/2
As the larger number is 13 more than the smaller number, we can say
(3n/2) - n = 13
Or, (n/2) = 13
Or, n = 26
২২৬৩২
If Arif takes 5 minutes to make a box and Kalam takes 6 minutes to make the same box, what will be the ratio of the number of boxes produced by Airf to the number of boxes produced by Kalam if they work for 2 hours?
উত্তর
6 to 5
সমাধান
Time = 2hrs = 120 minutes
Arif produces in 120 min = 120/5 = 24 boxes
Kalam produces in 120 minutes = 120/6 = 20 boxes.
Arif : Kalam = 24 : 20 = 5 : 4
২২৬৩৩
Murad bought equal numbers of 20-paisa and 30-paisa stamps. If the total cost of the stamps was Tk. 10.00 what was the total number of stamps bought?
উত্তর
40
সমাধান
ATQ
20x + 30x = 10 × 100
= > 50x = 1000
= > x = 1000/50
∴ x = 20
the total number of stamps = 20 + 20 = 40 (ans)
২২৬৩৪
If X is an odd integer and Y is an even integer, which of the following statements is true?
উত্তর
X+Y is odd
সমাধান
Here, x=odd and y=evenlet, x=1 and y=2then x+y=1+2=3 is always odd
২২৬৩৫
A club has member. If the club wants to form a committee of 4 members, how many different committees can be formed?
উত্তর
None of these
সমাধান
with 4 members, there can be 4!=24 different commitee so the answer is none
২২৬৩৬
One dozen of eggs and ten pounds of apples are currently of the same price. If the price of egg increase by 10% and the price of apple increase up by 2% how much more will it cost to buy a dozen of eggs and ten pounds of apples?
উত্তর
6%
সমাধান
Let the price of one dozen of eggs and ten pounds of apples be P tk each.
So, total cost of one dozen of eggs and ten pounds of applles = P + P = 2P tk
New price of one dozen of eggs = P + 10% of P = P + 0.1P = 1.1P
New price of ten pounds of apples = P + 2% of P = 1.02P
Total new price of one dozen of eggs and ten pounds of apples = 1.1P + 1.02P = 2.12P
Price increase = (2.12P - 2P)/2P×100% = 6%
২২৬৩৭
If 40% of all women are voters and 52% of the population are women, what percent of the population are female avoters?
উত্তর
20.8
সমাধান
মনে করি, মোট জনসংখ্যা = 100 জন
Women দের সংখ্যা = 52 জন
Women দের ভোটার সংখ্যা = 52×(40/100)
= 20.8
২২৬৩৮
If the product of 3 consecutive integers is 120, then the sum of the integers is --
উত্তর
15
সমাধান
Let the first integer be x - 1. Then the next two integers would be x and x + 1. So:
(x - 1)× x × (x + 1) = 120
= > (x² - 1)x = 120
= > x³ - x = 120
∴x = 5 , Check 5³ - 5 = 125 - 5 = 120.
So, x = 5. The other two numbers are 4 and 6 which are equal to x - 1 and x + 1 respectively.
Now the total of these numbers is 3x = 3×5 = 15.
২২৬৩৯
A man can row three- quarters of a kilometer against the stream in 11.25 minutes and down the stream in 7.5 minutes. The speed ( in km/hr) of the man in still water is-
উত্তর
5 km/hr
সমাধান
Let the speed of the man and flow of the stream U and V respectively.
Distance = 3/4 km
Time taken to go upstream = 11.25 min = 11.25/60 hr
Conbined speed upstream = (3/4) / (11.25/60) = 4 km/hr
or, U - V = 4
or, V = U - 4
Time taken to go downstream = 7.5 min = 7.5/60 hr
Conbined speed downstream = (3/4) / (7.5/60) = 6 km/hr
or, U + V = 6
or, U + U - 4 = 6
or, 2U = 6 + 4
or, U = 10/2 = 5 km/hr
২২৬৪০
A picture is copied onto a sheet of paper, which measures 8.5 inches by 10 inches. A border of 1.5 inch is left all around. What is the area, in square inches, covered by the picture?
উত্তর
38.5
সমাধান
Measurements excluding borders are (8.5 - 2×1.5 = 5.5) inches by (10 - 2×1.5 = 7) inches.
So, area of the picture = 5.5×7 = 38.5 in2