In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is

• 9 cm

• 7 cm

• 23 cm

• 11 cm

If  and  where A > B > 0 and A + B is an acute angle, then the value of B is

The fifth term of the sequence for which t₁ = 1,  t₂ = 2 and t_n+2 = t_n + t_n+1 is

• 5

• 10

• 6

• 8

If (x + 7954 x 7956) be a square number, then the value of 'x' is

• 1

• 16

• 9

• 4

A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C, they can finish it in 5 days. If they are paid ₹ 960 for the whole work how much money A gets?

• ₹ 480

• ₹ 240

• ₹ 320

• ₹ 400

Ronald and Elan are working on an assignment. Ronald takes 6h to type 32 pages on a computer, While Elan takes 5 h to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

• 7 h 30 min

• 8 h

• 8 h 15 min

• 8 h 25 min

117.

One man,  3 women and 4 boys can do a piece of work in 96 h,  2 men and 8 boys can do it in 80 h, 2 men and 3 women can do it in 120 h. 5 men and 12 boys can do it in

• 

• 

• 

• 44 h

ABC is a right-angled triangle. B being the right angle. Mid-points of BC and AC are respectively B' and A'. The ratio of the area of the quadrilateral AA'B'B to the are of Δ ABC is 

• 1 : 2

• 2 : 3

• 3 : 4

• None of these

A square ABCD is inscribed in a circle of unit radius. Semi-circles are described on each side as a diameter. The area of the region bounded by the four semi-circles and the circle is

• 1 sq unit

• 2 sq unit

• 1.5 sq unit

• 2.5 sq unit

If the perimeter of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2, then the ratio of area of the rectangle and that of the square is

• 1 : 1

• 1 : 2

• 2 : 3

• 8 : 9