Directions (1-5): **In each of the following questions two equations (I) and (II) are given, you have to solve both the equation and give answer**

(a) if x > y

(b) if x < y

(c) if x ≥ y

(d) if x ≤ y

(e) if x = y or no relationship can be obtained between x and y.

Directions (6-10): **Given below is a pie-graph that shows percentage of HR managers out of total HR managers in five different companies i.e. A, B, C, D and E in March, 2016.**

Note: Any HR manager leaves or enters a company only in April 2017.

**Q6. The ratio of male HR managers to female HR managers in company D in 2016 was 3 : 2 and 24 female HR managers left the company D in 2017. Find the percentage increase in number of female HR managers in company D in 2017 if there were 42 male managers out of newly recruited 72 managers.**

(a) 8⅓%

(b) 8%

(c) 9%

(d) 6⅔%

(e) none of these

**Q7. In 2017 33 ⅓% HR managers from company A shifted to company B. If ratio of male to female HR managers in company A and B in 2016 was 5 : 7 and 3 : 1 respectively and 25 female manager left company A, then find remaining male managers in company A is what percent of number of male managers in company B in 2017.**

(a) 68⅓%

(b) 58⅓%

(c) 48⅓%

(d) 38⅓%

(e)none of these

**Q8. The ratio of male to female HR managers in company C in 2016 was 5 : 4 while in 2017 the ratio was 11 : 9. If 13 female HR managers joined company C in 2017, then find total number of HR managers in company C in 2017.**

(a)200

(b)150

(c)100

(d)250

(e)none of these

**Q9. In 2017, 25% of HR managers from company D left the job and company B recruited 40% more HR managers more than the number of HR managers it had in 2016. If ratio of male to female HR managers in company D and B becomes 8 : 7 and 7 : 5 respectively, then find the ratio of number of male HR managers in company D in 2017 to number of female HR managers in company B in 2017.**

(a)71:32

(b)45:34

(c)65:36

(d)72:35

(e)none of these

**Q10. If in 2017 company A and C fired 20% and 25% of their HR managers respectively, then find the remaining number of HR managers in these two companies in 2017 is what percent of number of total HR managers in company E in 2016. (approximate value)**

(a)100%

(b)200%

(c)300%

(d)250%

(e)none of these

**Q11. The average weight of 4 men A, B, C and D, is 67 kg. The 5th man E is included and the average weight decreases by 2 kg. A is replaced by F. The weight of F is 4 kg more than E. Average weight decreases because of the replacement of A and now the average weight is 64 kg. Find the weight of A?**

(a)78 kg

(b)66 kg

(c)75 kg

(d)58 kg

(e)None of these

**Q12. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students, who do not get scholarship, is**

(a) 50

(b) 72

(c) 75

(d) 76

(e) None of these

**Q13. Kadbury offers a packet of 5 chocolates at the list price of 4 chocolates and on purchasing 19 such packets gives one packet absolutely free. A trader receives 20 packets of the chocolates in the offer and sells each chocolate at its list price. What is his net percentage profit?**

(a) 24%

(b) 31.58%

(c) 35%

(d) 53.75%

(e) 34.5%

**Q14. A, B and C can do a job in 6 days, 12 days and 15 days respectively. After ⅛ of the work is completed, C leaves the job. Rest of the work is done by A and B together in :-**

(a) 5⅚days

(b) 5¼days

(c) 3½days

(d) 3¾days

(e) None of these

**Q15. A person bought two clocks. The cost price of one of them exceeds the cost price of the other by 1/4th. He sold the dearer one at a gain of 10% and the other at a gain of 7.5% and thus got Rs. 98 in all as S.P. find the cost price of the cheaper one.**

(a) Rs. 40

(b) Rs. 50

(c) Rs. 30

(d) Rs. 60

(e) None of these

**Solutions**