Q.1 Two cars A and B are at point P and Q respectively and are at a distance of 250 km. They started to move towards each other and meet at point C after 2 hours. It is found that in the time when car A reached point Q, car B after reaching point P had travelled 100 km more. Find the speed of car A.
Q.2 Two vessel A and B contain milk and water in ratio 3 : 2 and 5 : 3 respectively. If 10 liters of the mixture is removed from vessels A and poured in vessel B then ratio of milk to water in vessel B becomes 8 : 5. Find the initial quantity of water in vessel B.
Q.3 Two trains of length 160 m and 120 m are running on parallel line in same direction and train with length of 120 m is travelling at a speed of 45 km/hr. The longer train cross a man in smaller train in 12 sec. Find the speed of longer train ?
(a) 90 km/hr
(b) 93 km/hr
(c) 87 km/hr
(d) 83 km/hr
(e) 81 km/hr
Q.4 If sum of area of square and rectangle is 644 sq. cm and perimeter of rectangle is 88 cm. If ratio of length to breadth of rectangle is 7 : 4, then find perimeter of square ?
(a) 72 cm
(b) 81 cm
(c) 48 cm
(d) 64 cm
(e) 56 cm
Q.5 Ayush divided 2189 in three parts such that interest on them after 1, 2, 3 years respectively may be equal. The rate of SI is 4% per annum in all case. What is the smallest part of the three part?
Directions (11-15): What approximate value should come in place of (x) in the following questions (Note: You are not expected to calculate the exact value.)