২৩০৫১
In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-unionized workers are women?
উত্তর
90%
সমাধান
Let X% of the non - unionized employees be men.
Percentage of non - unionized employees = 100% - 60% = 40%
Percentage of unionized men employees = 70% of 60% = 42%
Now, % unionized men employees + % of non - unionized men employees = 46%
or, 42% + X% of 40% = 46%
or, X% of 40% = 46% - 42% = 4%
or, X/100 = 4/40
So, X = 1/10×100 = 10
So, percentage of non - unionized women employees = 100% - 10% = 90%
২৩০৫২
One-third of a cylindrical oil tank is filled. If 3 more liters are added, a half of the tank will be filled. What is the capacity, in liters, of the tank?
উত্তর
18
সমাধান
Change in capacity = 1/2 - 1/3 = 1/6
Now, 1/6 of the capacity = 3 liter
So, actual capacity = 3×6 = 18 liter
২৩০৫৩
From the time 6:15 pm to the time 7:45 pm, of the same day, how many degrees does the minute hand of a standard clock rotate?
উত্তর
540
সমাধান
The minute hand of a standard clock rotates 360° per hour. Now, 6:15 pm to 7:45 pm = 1.5 hour. So, the minute hand will rotate = 1.5×360° = 540°
২৩০৫৪
The average weight of 3 young men is 53 kg. No one of them weight less than 51 kg. What is the maximum weight of any one man?
উত্তর
57
সমাধান
(51 + 51 + x)/3 = 53
= > 51 + 51 + x = 159
= > 102 + x = 159
= > x = 159 - 102
x = 57
২৩০৫৫
A cake is made into 18 pieces. If syma takes 1/3 of the cake and Robin takes 1/3 of the rest that are left, how many pieces are still left?
উত্তর
8
সমাধান
Syma takes = 1/3×18 = 6 pieces
Robin takes = 1/3×(18 - 6) = 1/3×12 = 4 pieces
Pieces still left = 18 - (6 + 4) = 18 - 10 = 8
২৩০৫৬
B and C are points on straight line AD, on which AB=BC=CD. What percent of AC is AD?
উত্তর
150%
সমাধান
A-----B-----C-----DLet, AB=BC=CD=xAC = AB + BC = x+x = 2xAD = AB + BC+CD = x+x+x = 3x let, AC * P% = AD(2x * P)/100 = 3xP = 150 % (Ans)
২৩০৫৭
There are 20 members on a football squad. In electing a captain and a vice-captain, how many different outcomes of the election are possible?
উত্তর
190
সমাধান
Required Number = 20C18 = 20!18!(20-2)! = 20!18! 2! = 20×19×18!18!×2 = 190 (Ans)
২৩০৫৮
If 4 is subtracted from one-fourth of a number, the result is 20. Which of the following in the number?
উত্তর
96
সমাধান
Let the number be X.
ATQ, X/4 - 4 = 20
or, X/4 = 20 + 4
or, X = 24 x 4 = 96
২৩০৫৯
The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?
উত্তর
72
সমাধান
Let x represent the smallest number. Then the other number are x + 2, x + 4, x + 6, x + 8 and x + 10. x + 10 is the largest.
The sum of these is 6x + (2 + 4 + 6 + 8 + 10) = 6x + 30
We are told that this is 38 greater than twice the largest, so
6x + 30 = 2(x + 10) + 38 = 2x + 58.
or, 4x = 28
∴x = 7
Then the sum is 6×7 + 30 = 72.
২৩০৬০
Points A, B, X and Y are in the same line but not necessarily in that order. Given the lengths AB=12, BX=2, XY=8, what is the length AY?
উত্তর
Cannot be determined