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Q1. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar?
Q2. There are two alloys made up of copper and aluminium. In the first alloy copper is half as much as aluminium and in the second alloy copper is thrice as much as aluminium. How many times the second alloy must be mixed with first alloy to get the new alloy in which copper is twice as much as aluminium?
Q3. There are 2 bottles containing a mixture of wine, water and alcohol. The first bottle contains wine, water and alcohol in the ratio 3 : 5 : 2. The second bottle contains water and wine in the ratio 5 : 4. 1litre of the first and 2 litres of the second are mixed together. What fraction of the mixture is alcohol?
Q4. The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?
∴ Smallest odd number = 82 - 7 = 75
Also, Average of even numbers = 87
2nd largest even number = 87 + 1 = 88
Thus, required sum = 75 + 88 = 163
Q5. 6 horses and 8 cows cost me Rs 37500. I sell them for Rs 44625 making a profit of 25 per cent on the horses and 10 per cent on the cows. What is the average cost of each horse and of each cow?
Directions (6-10): Study the following table to answer the given questions: -
Percentage of marks obtained by six students in six subjects
Q6. What is total marks obtained by Gaurav in all subjects?
Q7. What is average marks obtained by these six students in maths?
Q8. What is overall percentage of Arun?
Q9. What is difference between the marks obtained by Ramesh in English, history and economics and by Sonu in same subjects?
= 60 × 100% + 50 × 60% + 80 × 80%
= 60 + 30 + 64 = 154
Marks obtained by sonu in same
= 60 × 50% + 50 × 90% + 80 × 75%
= 30 + 45 + 60 = 135
Difference = 154 – 135 = 19
Q10. The marks obtained by Vinay in Science is how much percentage more than that by Arun in Economics?
Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
Q11. I. x² + 42 = 13x
II. y = ∜1296
Q12. I. x² + x - 2 = 0
II. y² + 7y + 12 = 0
Q13. I. 3x² - 23x + 40 = 0
II. 2y² - 23y + 66 = 0
Q14. I. 15x² - 46x + 35 = 0
II. 4y² - 15y + 14 = 0
Q15. I. x² + 5x - 6 = 0
II. 2y² - 11y + 15 = 0