C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?

A. 10 days
B. 12 days
C. 8 days
D. 9 days
✅ The correct answer is option A. 10 days.
Part of work completed by C in 1 day = 1/12 Part of work completed by D in 1 day = 1/15 Part of work completed by C in 4 days

= 1/3 Work remaining = 2/3 Time taken by D to complete the work

= (2/3)÷(1/15) = 10 days

The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.

A. 18 : 5
B. 7 : 16
C. 5 : 14
D. None of these
✅ The correct answer is option D. None of these.
Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.