1 .
In the expression $x^ 2$ $y^ 2$ , the values of both valuables x and y are decreased by 30% . By this the value of the expressi on will decreased by -
70%
77.70%
73.30%
75.99%

2 .
A and B together can complete a work in 5 days. They start working together but, after 3 days B left the work. If the work is completed after 3 more days, B alone could do the work in
12 days
15 days
13 days
14 days

3 .
Pipe 'A' and 'B' can fill a cistern in 16 and 20 hrs respectively and pipe 'C' can empty it in 10 hrs. If all the three are simultaneously opened, then the time required for the cistern to be filled is -
40 hrs
80 hrs
60 hrs
50 hrs

4 .
Two trains, A and B, start from stations xand yand move towards stationsy and x respectively. After passing each other, they take 5 hrs 30 min and 2 hrs 45 min to reach yand xrespectively. If the train A is moving at a speed of 36 km/hr, then the speed of the train B is -
48.8 km/hr
50.9 km/hr
51 km/hr
49.3 km/hr

5 .
A started a business with a capital of Rs. 28000. Five months later 'B' joined as a partner with capital of Rs. 36000. What is the share of A in the total prfit of Rs. 4200 at the end of year
₹ 1800
₹ 2400
₹ 2200
₹ 2600

6 .
Two vessels contain milk and water in the ratio 2 : 5 and 9 : 4. Find the ratio in which the contents of the two vessels must be mixed so as to get a new mixture in which the ratio of milk and water 8 : 5
7 : 30
30 : 7
23 : 8
8 : 17

7 .
One of the four angles of a rhombus is 90° . If the length of each side of the rhombus is 9 cm then, find the length of the longer diagonal.
9 m
8 $\sqrt 3$ m
9 $\sqrt 2$ m
18 m

8 .
If the arcs of equal length in two circles subtend angles of 35° and 45° at their centres then the ratio of their radii is -
9:7
3 : 7
7 : 9
9 : 5

9 .
A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched, covers 66 m and traces 108° at the centre, then find the length of the rope.
70 m
45 m
35 m
60 m

10 .
In a circle of radius 5 cm, two parallel chords of length 8 cm and 6 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is
1 cm
3 cm
2 cm
7 cm