Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is
20
27
39
52
C.
39
Let the numbers be 3x, 4x and 5x.
∴ 5x + 3x = 4x + 52
⟹ 4x = 52
⟹ x = 13
∴ The smallest number
⟹ 3x = 3 x 13 = 39
If the radius of a circle is increased by 50%, its area is increased by
125%
100%
75%
50%
A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately with A beginning, the work would be completed in
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 together can do the work in
28 days
14 days
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
If a wire is bent into the shape of a square, then the area of the square so formed 81 cm2. When the wire is rebent into semicircular shape, then the area (in cm2) of the semi-circle will be
22
44
77
154
Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it, if the water rises by 5.6 cm.
50
150
250
350
Water is flowing at the rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?
1 h
1 h 40 min
1 h 20 min
2 h 40 min