Vertical angles that are opposite to each other are also
A. not equal
B. opposite
C. scalene
D. equal
D. equal
Vertical angles that are opposite to each other are also Read More »
September 2022
Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?
A. 3 days
B. 4 days
C. 6 days
D. 8 days
C. 6 days
12 children take 16 days to complete a work.
so,
1 child’s 1 day’s work=1/(12*16)
1 child’s 1 day’s work=1/192
8 adults take 12 days to complete a work.
So,
1 adult’s day’s work=1/(8*12)
1 adults day’s work=1/96
But, after working of 3 days, 16 adults left
so,
16 adults 3 day’s work= 16*3*1/96
16 adults 3 day’s work=1/2
therefore,
the remaining work will be:
Remaining work=1-1/2
Remaining work=1/2
Now (6 adults+ 4 Children) 1 day’s work will be:
(6 adults+4 children) 1 day’s work=6/96+4/192
(6 adults+4 children) 1 day’s work= 16/192
(6 adults+4 children) 1 day’s work=1/12
so,
1/12th of the work is done by them in 1 day
thus,
they take following days to complete the remaining work.
(1÷1/12)*1/2
(1*12)*1/2
12/2
6 days
Submitted by: Admin
In the following question, two equations are given. On their basis you have to determine the relation between x and y and then give answer I. 3x^2 – 7x + 2 = 0 II. 2y^2 – 11y + 15 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
A. x < y
Equation I
3x² – 7x + 2 = 0
3x²-6x-x+2=0
3x (x-2)-1(x-2)=0
(3x -1)(x – 2) = 0
3x -1 = 0
3x =1
x = 1/3 , x-2=0
x = 2
Equation II
2y² -11y +15 = 0
2y² – 6y – 5y +15 = 0
2y (y-3)-5(y-3)=0
(2y- 5)(y-3)= 0
(2y-5)=0
y = 5/2
Also (y – 3) = 0
y=3
Now comparing x and y
x = 1/3 is smaller than 5/2 and 3
x= 2 is smaller than 3 and 5/2
Thus we see that x is smaller than y
x<y