Q1. Veer borrows Rs. 6000 at 30% compound rate of interest. At the end of each year he pays back Rs. 1200. How much amount should he pay at the end of the third year to clear all his dues ?
(a) Rs. 9594
(b) Rs. 9584
(c) Rs. 9850
(d) Rs. 8574
(e) Rs. 8926
Q2. The ratio of age of Satish and his son is 7 : 2. If the difference of their ages 7 year ago is 25. Then find the sum of ages of Satish and his son 12 year hence ?
Q4. Arun and Veer together can complete a work in 15 days. Veer and Abhi together complete the same work in 12 days. If Arun started to work and worked for first 8 days alone and next 12 days Veer worked alone and the remaining work is completed by Abhi in 6 days. Then in how many days Veer alone will compete the whole work ?
(a) 70 days
(b) 40 days
(c) 60 days
(d) 64 days
(e) 55 days
Q5. The surface of water in a swimming pool forms a rectangle with length 40 m and breadth 15 m. The depth of water increases uniformly from 1.2 m to 2.4 m at the other end. The volume (in m³) of water in the pool is
(e) None of these
Q6. If the cost of pins reduces by Rs. 4 per dozen, 12 more pins can be purchased for Rs. 48. The cost of pins per dozen after reduction is :
(a) Rs. 8
(b) Rs. 12
(c) Rs. 16
(d) Rs. 20
(e) Rs. 14
Q8. Monthly incomes of A and B are in the ratio of 4 : 3 and their expenses bear the ratio 3 : 2. Each of them saves Rs. 6000 at the end of the month, then the monthly income of A is
(a) Rs. 12000
(b) Rs. 24000
(c) Rs. 30000
(d) Rs. 60000
(e) Rs. 28000
Q9. A and B started a business together with capital of Rs. 8000 and Rs. 10,000 respectively. A left the business after 5 months while B continued. A gets 20% of total profit for managing business and remaining is distributed in ratio of their profit sharing. If after a year, A gets total profit of Rs.2500 then, find the total profit earned by ‘A’ and ‘B’ together.
Q10. A box contains ‘x’ blue balls, 5 red and 5 black balls. If probability of choosing 2 blue balls from the bag is 0.125, then find the total number of balls in the box?
Q12. A tank can be filled by 1st tap in 20 min and by 2nd tap in 25 min. Both the taps are kept open for 5 min and then the second tap is turned off. In how much time it will get completely filled?(in min)
Q13. X men can do a piece of work in 21 days working 8 hours each day. The number of days taken by X men is 70% of number of days taken by (x – 1) men, working 6 hours a day. Find the value of X.
Q14. Abhishek and Avinash starts travelling in same direction with 7kmph and 11kmph respectively. After five hour Avinash reduces his speed by 1kmph and Abhishek double his speed and reached the destination together. How long the entire journey last? (in hrs)