1.In an election between two candidates, one got 52% of total valid votes. 25% of the total votes were invalid. The total number of votes were 8400. How many valid votes did the other person get?
(1) 3276
(2) 3196
(3) 3024
(4) Cannot be determined
(5) None of these
2.A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
(1)1kmph
(2)1.5kmph
(3)2kmph
(4)2.5kmph
3.A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
(1)3:1
(2)2:1
(3)1:2
(4)3:2
(5) none of these
4.A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?
(1)3500
(2)4000
(3)6000
(4)8000
(5)None of these
Directions (5-7) In each of the following questions What will come in place of ____ in the following questions
5. 6 ,3 ,3 ,4.5 ,9 , ?
(1)22.5
(2)25
(3)30
(4)32.5
(5) 27
6.9 , 28 ,65 , 126 , ?
(1)234
(2)230
(3)217
(4)216
(5) 220
7. 1 ,5 , 3 , 9 , 5, 13 ,7 , 17,11, 21 ,?
(1)13
(2)23
(3)19
(4)23
(5) none of these
Directions (8-12): Study the given information carefully
A basket contains 6 blue, 2 red, 4 green and 3 yellow balls.
8.If 2 balls are picked at random, what is the probability that either both are green or both are yellow?
(1) 2/5
(2) 3/35
(3) 1/3
(4) 3/91
(5) None of these
9.If 5 balls are picked at random, what is the probability that at least one is blue?
(1) 137/143
(2) 9/91
(3) 18/455
(4) 2/5
(5) None of these
10.If 2 balls are picked at random, what is the probability that both are blue?
9.If 5 balls are picked at random, what is the probability that at least one is blue?
(1) 137/143
(2) 9/91
(3) 18/455
(4) 2/5
(5) None of these
10.If 2 balls are picked at random, what is the probability that both are blue?
(1) 1/5
(2) 8/91
(3) 2/15
(4) 2/27
(5) None of these
11.If 4 balls are picked at random, what is the probability that 2 are red and 2 are green?
(1) 4/15
(2) 5/27
(3) 1/3
(4) 2/455
(5) None of these
12.If 3 balls are picked at random, what is the probability that none is yellow?
(1) 3/455
(2) 1/5
(3) 44/91
(4) 4/5
(5) None of these
Direction(13-15):Find the approximate value
13.9837+315 X 6-77 X 13+10% of 1500
(1)10600
(2)10850
(3)11200
(4)10700
(5)11000
14.12 X 13+105% of 993 +879/18 +15
(1)1150
(2)1170
(3)1185
(4)1200
(5) 1215
15.12833 + 133 % of 1655 -7/5 of 3533
(1)9000
(2)10000
(3)10500
(4)11000
(5) 9500
Answer :
1) 3
2) 1
3) 1
4) 2
5) 1
6) 3
7) 1
8) 2
9) 1
10) 5
11) 4
12) 3
13. 2
14. 4
15. 2
Hints:
1. valid votes got by other person = 8400 *36/100 =3024
2. let Speed of man = x and speed of stream = y
48/(x+y) + 48/(x-y) = 14
4/(x+y) = 3/(x-y)
on solving, y = 1km/hr
3.let Speed of Boat = x and speed of stream = y
So distance is same,
so 2/(x+y)= 1/(x-y)
on solving x= 3y
x:y = 3:1
4. let total person was x
x*45= (x+500)*40
on solcing x= 4000
5. 22.5
6. 217
7. 13
8. probability either both at green or either both are yellow = (4c2+3c2)/(15c2) = 9/105 =3/35
9. 1- 9c5/15c5 =137/143
10. 6c2/15c2 = 1/7
11. 2c2*4c2/15c4 =2/445
12. 12c3/15c3 = 44/91
13. option 2(approx)
14. option 4(approx)
15. option 2(approx)
1) 3
2) 1
3) 1
4) 2
5) 1
6) 3
7) 1
8) 2
9) 1
10) 5
11) 4
12) 3
13. 2
14. 4
15. 2
Hints:
1. valid votes got by other person = 8400 *36/100 =3024
2. let Speed of man = x and speed of stream = y
48/(x+y) + 48/(x-y) = 14
4/(x+y) = 3/(x-y)
on solving, y = 1km/hr
3.let Speed of Boat = x and speed of stream = y
So distance is same,
so 2/(x+y)= 1/(x-y)
on solving x= 3y
x:y = 3:1
4. let total person was x
x*45= (x+500)*40
on solcing x= 4000
5. 22.5
6. 217
7. 13
8. probability either both at green or either both are yellow = (4c2+3c2)/(15c2) = 9/105 =3/35
9. 1- 9c5/15c5 =137/143
10. 6c2/15c2 = 1/7
11. 2c2*4c2/15c4 =2/445
12. 12c3/15c3 = 44/91
13. option 2(approx)
14. option 4(approx)
15. option 2(approx)
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