Directions (Q.1–5) Study the table and answer the given questions.
Data related to candidates appeared and qualified from a state in a competitive exam during 5 years
Years No. of appeared candidates % of appeared candidates who qualified Respective ratio of number of qualified male & female candidates
Years
|
No. of appeared candidates
|
% of appeared candidates who qualified
|
Respective ratio of number of qualified male & female candidates
|
2011
|
700
|
––
|
3 : 2
|
2012
|
––
|
––
|
5 : 3
|
2013
|
480
|
60%
|
––
|
2014
|
––
|
42%
|
9 : 5
|
2015
|
900
|
64%
|
––
|
Q1. In 2015, if the number of female qualified candidates was 176, what was the respective ratio of number of male qualified candidates and number of female qualified candidates in 2015 ?
(a) 25 : 16
(b) 5 : 4
(c) 25 : 11
(d) 21 : 16
(e) None of these
Q2. The number of appeared candidates increased by 40% from 2011 to 2016. If 25% of the appeared candidates qualified in 2016, what was the number of qualified candidates in 2016?
(a) 240
(b) 225
(c) 255
(d) 245
(e) None of these
Q3. In 2012, the respective ratio of number of appeared candidates to the qualified candidates was 5:4. Number of female qualified candidates constitutes what per cent of number of appeared candidates in the same year?
(a) 20
(b) 25
(c) 30
(d) 15
(e) 40
Q4. In 2014, if the difference between number of male qualified candidates and female qualified candidates was 72, what was the number of appeared candidates in 2014?
(a) 800
(b) 900
(c) 850
(d) 600
(e) None of these
Q5. If the average number of qualified candidates in 2011 and 2013 was 249, what percent of appeared candidates qualified in the competitive exam in 2011?
(a) 40
(b) 30
(c) 20
(d) 35
(e) 25
Directions (Q.6-10): A dealer purchased 6 old washing machines of 6 different companies from OLX and sold them in market. Given below is the data showing cost price, selling price and profit/loss percentage.
Washing Machines
|
C.P. (in Rs.)
|
Profit%
|
Loss%
|
S.P. (in Rs.)
|
Samsung
|
9375
|
—
|
—
|
7968.75
|
LG
|
—
|
14%
|
—
|
21375
|
Videocon
|
12325
|
—
|
18%
|
—
|
Godrej
|
10385
|
—
|
—
|
14019.75
|
Panasonic
|
—
|
24%
|
—
|
5022
|
Whirlpool
|
14360
|
—
|
—
|
12924
|
Q6. Cost price of Panasonic washing machine is what percent of selling price of Videocon washing machine? (approximate)
(a) 38%
(b) 40%
(c) 42%
(d) 44%
(e) 46%
Q7. If there have been a profit of 18% on Videocon washing machine instead of 18% loss, then the new S.P. is how much more than the original S.P. ?
(a) 4439
(b) 4429
(c) 4427
(d) 4437
(e) None of these
Q8. Profit percentage on Godrej washing machine is what percent more/less than profit percentage on LG washing machine?
(a) 50% more
(b)150% more
(c) 250% more
(d) 50% less
(e) 150% less
Q9. What is the ratio between loss percentage of Whirlpool washing machine to loss percentage of Samsung washing machine ?
(a) 2 : 3
(b) 3 : 2
(c) 3 : 5
(d) 2 : 5
(e) None of these
Q10. What is the overall profit/loss percentage? (approximate)
(a) 2.1% profit
(b) 3.1% profit
(c) 4.1% profit
(d) 3.1% loss
(e) 2.1% loss
Directions (Q.11-15): In following questions two equations are given. Solve the equations 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 relation can be established
Solutions
S1. Ans.(c)
Sol.
No. of qualified candidates in 2015
= 64 × 9 = 576
∴no.of males=576-176=400
∴Required Ratio=400∶176=25∶11
S2. Ans.(d)
Sol.
No. of appeared candidates in 2016
=140/100×700 = 980
Required no. of candidates = 25/100×980= 245
S3. Ans.(c)
Sol.
Let appeared candidates in 2012 = 500
∴ Let qualified candidates in 2012 = 400
∴ No. of female qualified in 2012 =3/8×400=150
∴Required %=150/500×100=30%
S4. Ans.(d)
Sol.
Let no. of males qualified in 2014 = 9x
∴ No. of females qualified in 2014 = 5x
∴9x-5x=72
x = 18
∴No.of candidates qualifed in 2014=14x=14×18=252
∴Required no.of candidates=252/42×100 = 600
S5. Ans.(b)
Sol. let candidate who qualified in 2011 = x
Candidate who qualified in 2013 = 480 ×0.6=288
X = 498-288=210
Required percent = 210/7 = 30%
S10. Ans.(b)
Sol.
Overall cost price of all washing machines together
=9375+18750+12325+10385+4050+14360=69245
Overall selling price of all washing machines together
=7968.75+21375+10106.5+14019.75+5022+12924=71416
Profit percentage =(71416-69245)/69245×100≈3.1% profit
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