২৩০১১
If 1/x>1/5 then ---
উত্তর
x
সমাধান
1/x > 1/5
Using cross multiplication, 5 > x or, x < 5.
২৩০১২
30% of 80 is what percent of 24?
উত্তর
100
সমাধান
x% of 24 = 30% of 80
So, x = 30 x 80 / 24 = 100.
২৩০১৩
If Arif were 32 years older, he would be three times as old as he is now. How old is Arif?
উত্তর
16
সমাধান
Let his current age be A.
So, A + 32 = 3 x A
or, 2A = 32
A = 16.
২৩০১৪
If 3x+2y=8 and 2x-y=3 find the value of x.
উত্তর
3
সমাধান
3x + 2y = 8...... (1)
2x - y = 3........ (2)
(1) + (2) × 2 =
3x + 2y = 8
4x - 2y = 6
7x = 14
x = 7
২৩০১৫
The sum of three consecutive odd numbers is how many times as large as the middle number?
উত্তর
2.5
সমাধান
The middle number is the average of three consecutive odd numbers.
So, the sum of the three consecutive odd numbers = 3 x the middle number.
২৩০১৬
A 5 meter long stick is cut so that one part is 2/3 of the other. How long (in meter) is the shorter segment?
উত্তর
1.5
সমাধান
Let the longer segment be m.
Therefore, the shorter segment is (2/3)m = 2m/3
Now, m + 2m/3 = 5 or, m = 3
Therefore, the shorter segment is (2/3) x 3 = 2 meter.
২৩০১৭
.03 times 0.5 is ----
উত্তর
1.5%
সমাধান
.03 times .5 = .03*.5 = .015 = .015*100/100 = 1.5/100 = 1.5% (ANS)
২৩০১৮
If the average of two numbers is M, and the larger is L, the other number is ---
উত্তর
2M-L
সমাধান
The total of the two numbers = 2 x M
Therefore, the smaller number = 2M - L
২৩০১৯
How many minutes will it take police car to travel a distance of d miles if it travels at m mile per hour?
উত্তর
60 d/m
সমাধান
m mile can be travelled in 60 minutes
d mile can be travelled in (60 x d)/m minutes = 60d/m minutes.
২৩০২০
If m men can do a job in 10 days, how many days will it take for 10 men to complete the job assuming that they work at the same rate?
উত্তর
m
সমাধান
m men can do the job in 10 days
1 man can do the job in 10 x m days
10 men can do the job in (10 x m)/10 = m days.