An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm2) of this regular hexagon will be
Answer : Option C.
side of regular hexagon =1/3 *6 = 2 cm
Area of the hexagon = 3 √3/ 2 a2
= 3 √3/2 *2*2 =6 √3 sq.cm
A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then A, B and C to¬gether can do the work in
28 days
14 days
5 5/7 days
8 2/7 days
Answer : Option C.
(A+B)' 1 day's work = 1/10
(B+C) 1 day's work = 1/6
(C+ A) 1 day's work = 1/12
Adding all three
2(A+B+C)' 1 day's work
=1/10 + 1/6 + 1/12 = 6+10+5 / 60
=21/60 = 7/20
=>(A+B+C)' 1 day's work = 7/40
=>All three together will complete the work in 40/7 = 5 5/7days.
A does half as much work as B in three- fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone?
30 days
35 days
40 days
45 days
Answer : Option A.
If a wire is bent into the shape of a square, then the area of the square so formed is 81cm2. When the wire is rebent into a semicircular shape, then the area, (in cm2) of the semicircle will be (Take π = 22/7)