Q1. 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.
Q2. 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.
Q3. 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
Q4. 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
Q5. 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?
Direction (6-10): Study the following table and answer the questions that follow.
Number of engineering students appeared for the final year exam in four different institutes and the percentage of engineering students failed in that exam over the following five years are given.
Q6. What is the number of students passed from institute A, B and D together in 1991-92?
Q7. What is the ratio of students passed from institute B and C together 1994-95 to the total students appeared from D in all years.
Q8. What is the total number of students passed from institute C over all years together?
Q9. If appeared students from institute A in year 1990-91 are 80% of total students from the institute A , then by what percent total number of students from institute A in 1990-91 are more or less than appeared students from institute D in year 1993-94?
Q10. If ratio of male to female who have appeared from institute B in 1992-93 is 3 : 7 then approximately what is the percentage of males who have appeared from institute B in 1992-93 are three with respect to students passed from institute C and D together in 1994-95?