Q1. Two persons Ram and Raman can do a job in 32 days together. Raman can do the same job in 48 days alone. They started working together and after working 8 days Raman is replaced by a third person Rishabh whose efficiency is half that of Raman. Find in how many days the remaining work will be completed by both Ram and Rishabh together?
(a) 12.4 days
(b) 16.4 days
(c) 14.4 days
(d) 16 days
(e) 20 days
Q2. Simple interest on a certain sum at the rate of 15% per annum for 4 years is Rs.1920. What is the compound interest at the same sum at the rate of 30% for two years?
(a) Rs. 2250
(b) Rs 2208
(c) Rs 1966
(d) Rs 2669
(e) Rs 2496
Q3. In a bag there are four marbles of red colour and five marbles of blue colour. Two marbles are chosen randomly. What is the probability that both are of same colour?
(a) 4/9
(b) 7/9
(c) 2/9
(d) 5/9
(e) 3/7
Q4. A train covers 180 km distance in 4 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction?
(a) 45 km
(b) 9 km
(c) 40 km
(d) 42 km
(e) 15 km
Q5. A car dealer gives a discount of 25% on marked price of cars. Ayush purchases a car in Rs. 2,52,000. What is the marked price of car?
(a) Rs. 3,60,500
(b) Rs. 3,24,000
(c) Rs 3,43,125
(d) Rs 3,36,000
(e) Rs 4,34,125
Directions (6-10): The following table shows the total number of persons died due to HIV virus in six different years from all over world and ratio of men to women over these six years. Study the table and answer the questions that follow.
Q6. Find the average no. of women who died due to HIV in the years 2011 and 2013 together.
(a) 2,45,000
(b) 2,85,550
(c) 3,75,250
(d) 2,56,500
(e) 3,20,500
Q7. The women who died in the years 2012 and 2014 together are what percent of total persons who died in the year 2012? (up to two decimal place)
(a) 81.50%
(b) 91.25%
(c) 87.20%
(d) 85.12%
(e) 73.86%
Q8. If death of persons is reduced by 20% in the year 2016 than 2015 by application of various programs in all over world, then find the no. of men who died in the year 2016 (Ratio of man to woman remains same as 2015)?
(a) 3,65,500
(b) 3,45,000
(c) 3,60,000
(d) 3,92,500
(e) 3,55,600
Q9. What is the difference between no. of men who died in the years 2012, 2013 and 2014 together and no. of women who died in the same years together?
(a) 4,20,000
(b) 4,15,000
(c) 4,25,000
(d) 4,10,000
(e) 4,24,500
Q10. The no. of men died in the year 2012 is approximate what percent more or less than the no. of women died in the year 2014?
(a) 70%
(b) 85%
(c) 65%
(d) 92%
(e) 75%
Directions (11-15): In the following questions two equations numbered I and II are given. You have to solve both the equations and–
Give answer (a) if p>q
Give answer (b) if p≥q
Give answer (c) if p
Give answer (d) if p≤q
Give answer (e) if p = q or the relationship cannot be established.
Q11. I. 6p^2 + 5p +1= 0
II. 20q^2 + 9q = -1
Q12. I. 3p^2 + 17p + 10 = 0
II. 10q^2 + 9q + 2 = 0
Q13. I. p^2 + 24 = 10p
II. 2q^2 + 18 = 12q
Q14. I. 5p+2q=96
II. 3(7p+5q)=489