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