Q2. The monthly income of Amar, Bhavan and Chetan in January 2005 were `4000, `4500 and `6500 respectively. Find their average monthly income in that month.

Q3.The average of n numbers is 16. If 5/8th of the numbers are doubled and 3/8th of the numbers become 10/3 times their original values, by what percentage does the current average exceed the original average?

Q4.Vessels A and B contain mixtures of milk and water. The ratios of milk and water in A and B is 4 : 5 and 3 : 1 respectively . In what ratio should the contents of A and B be drawn and mixed, to obtain a mixture having milk and water in the ratio 3 : 2?

Directions for questions (05 - 09):

Study the following information carefully and answer the given questions. The table give below shows the Principal amount invested by five different persons in a scheme for different number of years and the rate of interest they are provided for the internment. Simple interest they earned after a certain period is also given. Some values are missing.

Q5.If the Simple Interest earned by D is Rs. 1000 less than half of the Principal amount invested by D, then find the simple interest earned by D.

Q6.If the ratio between the amounts invested by B to that of C is 2 : 3, then find the rate of interest provided for B.

Q7.If the Simple Interest earned by C is Rs. 9000 less than the Simple Interest earned by A, then for how many years had A invested the amount?

Q8.If the average amount invested by all the give persons is Rs. 63,000 and the amount invested by B is Rs. 10,000 more than the amount invested by D, then find the amount invested by D.

Q9.If the Simple Interest earned by E is Rs. 320 less than 40% of the Simple Interest earned by B, then find the rate of interest provided for E.

Q10. In a triangle whose sides are 5 cm, 5 cm and 7 cm, a quadrilateral is formed by taking the centroid, the orthocentre, the circumcentre and the incentre of the triangle as its vertices. If the area of the quadrilateral thus formed is x cm2 , which of the following is true?

Q11. In an equilateral triangle, the orthocentre divides each median in the ratio x : y. If x > y, then x : y =

Q12. The area of a triangle, (in cm2 ) formed by the incentre, the centroid and the cirumcentre of an equilateral triangle whose side is 6 cm is

Q13. The population of two villages is 1525 and 2600 respectively. If the ratio of male to female population in the first village is 27 : 34 and the ratio of male to female population in the second village is 6 : 7, then what is the ratio of male to female population of these two villages taken together?

Q14. What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less has applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

Q15. The ratio of income of A, B and C is 2 : 3 : 4 and the ratio of expenditure is 3 : 4 : 5. Savings of A is 𝟏/𝟓 of its income then find the ratio of their savings.

Q16. Sunny covers a certain distance in a certain time. While returning, he takes only 1/3rd the time he took for the outward journey. What is the ratio between the average speed for the entire journey and his original speed?

Q17. If the respective ratio of the speed of two persons, A and B is 4 : 5. If A can complete a distance of 240 km in 25 minutes then find speed of B?

Q18. A can do a bit of work in 10 days while B alone can do it in 15 days. They cooperate for 5 days and whatever remains of the work is finished by C in 2 days. On the off chance that they get Rs. 4500 for the entire work, by what means if they partition the cash?

Q19. 12 men take 36 days to do a work while 12 ladies complete 3/fourth of the same work in 36 days. In how long 10 men and 8 ladies together will finish the same work?

Q20. The area covered by the hour hand of a wall clock between time 4 : 26 and 6 : 50 is what percent of the area covered by it in 15 hours?

Q21. The bank deposit of Raman is 100% more than that of Aman and 75% more than that of Jatin. Raman’s deposits are what percent of the total deposits of Aman and Jatin together?

Q22. The length and breadth of a rectangle are increased by 20% and 30%. The area of the resulting rectangle exceeds the area of the originalrectangle?

Q23. Probability of grasshopper eating grass = 1/5 Probability of frog eating grasshopper = 1/6

Probability of snake eating frog =1/7

Probability of hawk eating snake = 1/8

Probability of man eating hawk = 1/9

What is the probability of a man eating a hawk who has eaten a snake which had consumed a frog who ate a grasshopper which didn’t eat grass?

Q24. There are 6 Green, 5 Red and 3 white balls in a bag. If 3 balls are drawn randomly what is the probability that no ball is Red?

Q25. There are 50 students in a class. 40% of the students like Orange and 50% of the students like Mango. If 10 students like both of them, then how many students like either Orange or Mango or both of them?

Q26. (37)² =? + [(11√3 + 5√3) × (9√3 + 11√3)]

Q27. 122 × √324 – 34% of 1450 =(?)^1/2 – 2803

Q28. If four years ago, the age of Punitha is half of that of Santhosh and after 4 years, the age of Punitha is 40% less than that of Santhosh, then what is the ratio of the present age of Santhosh and Punitha?

Q29. Ratio of the ages of A and B is 3:4 and the ratio of the ages of B and C is 8:9. If C is 6 years younger than D and D’s age after 10 years is 34 years, then what is the age of A after 8 years?

Q30. In how many ways 5 Americans and 5 Indians be seated along a circular table, so that they are seated in alternative positions

Q31. 4 matches are to be played in a chess tournament. In how many ways can result be decided?

Q32. Sum of the selling price of mobile and watch is Rs.9000. Ratio of the discount offered by shopkeeper on mobile and watch is 1:3. If the sum of the marked price of mobile and watch is Rs.15000, then find the discount offered by shopkeeper on watch?

Q33. Ragu, Ragava and Rishi started the business and invested their money in the ratio of 1/12:1/15:1/9 and for time period in the ratio of 1/8:1/6:1/4. If Rishi’s share out of profit at the end of year is Rs.4800, then what is the total profit of the business?

Q34. What will be the percentage profit after selling the Perfume at Rs.x if there is a loss of 20% when the perfume is sold at two-third of x?

Q35. (0.4)³ × 400 ÷ 4000 of (0.4)² =?

Q36. The sum of digits of two-digit number is 5. If the number is reversed, the number is decreased by 27. Find the number?

Q37. The ratio between a two-digit number and the sum of the digits of that number is 3:1. If the digit in the unit's place is 5 more than digit at ten's place, what is the number?

Q38. If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator is

Q39. x² + 7x + 12 = 0

y² + y - 30 = 0

Find the relation between x and y.

Q40. A stairway 10ft high is such that each step accounts for half a foot upward and one-foot forward. What distance will an ant travel if it starts from ground level to reach the top of the stairway?