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Tuesday 9 June 2015

SSC CGL 2015: Question

Image result for mathFor Question (1-5) Find the odd no. in this Series.
1)60, 48, 38, 28,24,20,18
A)28
B)60
C)48
D)20

2)380, 188, 92,48,20,8,2
A)380
B)188
C)92
D)48

3)3, 4.5, 9, 22.5, 67.5, 270, 945
A)67.5
B)270
C)945
D)3

4)7, 8, 17, 42, 91, 172, 293 
A)17
B)42
C)172
D)None of these

5)5, 15, 30, 135, 405, 1215, 3645 
A)5
B)15
C)30
D)135

6)A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A)20 hours
B)25 hours
C)30 hours
D)35 hours

7)A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
A)30
B)35
C)40
D)45 

8)The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A)0
B)1
C)19
D)Can't be determined

9)A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A)120 m
B)400 m
C)240 m
D)450 m

10)In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A)8 km/hr
B)10 km/hr
C)5 km/hr
D)15 km/hr

Answers with Explanation :
1. A
2. D
3. B
4. D
5. C
6. D
7. A
8. C
9. C
10.A
Explanation:

1. 60-12=48
   48-10=38
   38-8=30
   30-6=24
   24-4=20
   20-2=18
So 28 is odd no. in this series.

2.380-192=188
188-96=92
92-48=44
44-24=20
20-12=8
8-6=2
So 48 is odd no. in this series.

3. 3*1.5=4.5
   4.5*2=9
   9*2.5=22.5
   22.5*3=67.5
   67.5*3.5=236.5
   236.5*4=945
So 270 is odd no. in this series.

4.  7+1^2=8
    8+3^2=17
    17+5^2=42
    42+7^2=91
    91+9^2=172
    172+11^2=293
So 9 is wrong no. in this series.

5.  5*3=15
    15*3=45
    45*3=135
    135*3=405
    405*3=1215
    1215*3=3645    
So 30 is odd no. in this series.

6.  Pipe A+B+C take 5 hour to fill the tank.
     and B=2A & C=2B = 4A
So A+B+C= 5hour
by put value 4A+2A+A= 5hour
7A take time 5 hour
A alone will take = 7*5= 35 hour

7. {2-(2)^1/2}/2 * 100 = 30 % approx

8. 19

9. train crosses the man in 20 sec.
  so lenth of train / speed of train in m/sec = 20 sec
   L/(54*5/18)= 20 ; Lenght of train= 300 m
    now lengh of train+ platform/ (54*5/18)= 36 sec
on solving Lengh of Platform = 240 m

10. let boat speed = x; stream speed= y
     11/(x+y)= 1 hour ; 5/ (x-y) = 1 hour
 on solving x= 8km/hour
So Speed of Boat = 8 km/hr

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