1. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 Kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
b)110 kmph
c)120 kmph
d)130 kmph
2.Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40km/hr respectively. By the time they meet, the first train has traveled 100 Km more than the second. The distance between P and Q is:
a)500 km
b)630 km
c)660 km
d)900 km
3.Sixteen men can complete a work in twelve days. Twenty four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?
a)2 days
b)4 days
c)6 days
d)8 days
4.A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started working together but C left after 4 days of start and A left 3 days before completion of the work. In how many days will the work be completed?
a)15 days
b)22 days
c)25 days
d)35 days
5.8% of the people eligible to vote are between 18 and 21 years of age. In an election, 85% of those eligible to vote, who were between 18 and 21, actually voted. In that election, the number of persons between 18 and 21, who actually voted, was what percent of those eligible to vote?
a)4.2
b)6.4
c)6.8
d)8
Directions(6 -10): What will come in place of question mark (?) in the following series.
6. 148 152 161 177 ? 238
a)208
b)214
c)202
d)198
e)192
7. 4 2 2 3 6 ?
a)12
b)15
c)24
d)18
e)21
8. 339 355 323 371 307 ?
a)407
b)354
c)328
d)387
e)388
9. 5 14 40 117 347 ?
a)920
b)745
c)1124
d)1036
e)694
10. 12 24 96 574 ? 46080
a)3542
b)3890
c)4248
d)4608
e)3246
Answers
1.(c)
Let the speed of the car be x kmph
Then, speed of the train = 150x/100 = 3x/2 kmph
75/x - 75/(3x/2) = 125/(10 x 60)
75/x - 50/x = 5/24
x = 120 kmph
2.(d)
At the time of meeting, let the distance traveled by the second train be x km
Then, the distance covered by the first train is ( x+100)Km
x/40 = (x+100)/50
x =400
So, the distance between P and Q is x + x+100 = 900km
3.(b)
1 man's 1 day work = 1/192
1 child's 1 day work = 1/432
Work done in 8 days = 8(12/192 + 8/432) = 8(1/16+1/54) = 35/54
Remaining work= ( 1- 35/53) = 19/54
(12 men + 11 children)'s 1 day work = 12/192 + 11/432 = 19/216
Now, 19/216 work is done in 1 day.
19/54 work will be done by them in (216/19 x 19/54) = 4 days
4.(a)
(A + B+ C)'s 1 day work = 1/24 +1/36 + 1/48 = 13/144
Work done by (A + B + C) in 4 days = 13/144 x 4 = 13/36
Work done by B in 3 days = (1/36 x 3) = 1/12
Remaining work = (1 - (13/36 + 1/12)) = 5/9
(A + B)'s 1 day work = (1/24 + 1/36) = 5/72
Now 5/72 work is done by A and B in 72/5 x 5/9 = 8 days
Hence, total time taken = (4 + 3 + 8) = 15 days
5.(c)
Let the number of persons eligible to vote be x. Then,
Number of eligible persons between 18 and 21 = 8% of x
Number of persons between 18 and 21, who voted = 85% of (8% of x) = 68x/1000
Required percentage = 68x/1000 x 1/x x 100 = 6.8%
6.(c)
Difference between the given numbers in the series is 2^2, 3^2, 4^2 and so on.
Hence 177 + 25 = 202
7.(b)
4 x 0.5 = 2
2 x 1 = 2
2 x 1.5 = 3
3 x 2 = 6
6 x 1.5 =15
8.(d)
Difference between the numbers in the given series are multiples of 16.
16, 32, 48, and so on
Hence the next number will be 307 + 80 = 387
9.(d)
5 x 3 - 1 =14
14 x 3 - 2 =40
40 x 3 - 3 =117
117 x 3 - 4 =347
347 x 3 - 5 =1036
10.(d)
12 x 2 =24
24 x 4 =96
96 x 6 =576
576 x 8 = 4608
1.(c)
Let the speed of the car be x kmph
Then, speed of the train = 150x/100 = 3x/2 kmph
75/x - 75/(3x/2) = 125/(10 x 60)
75/x - 50/x = 5/24
x = 120 kmph
2.(d)
At the time of meeting, let the distance traveled by the second train be x km
Then, the distance covered by the first train is ( x+100)Km
x/40 = (x+100)/50
x =400
So, the distance between P and Q is x + x+100 = 900km
3.(b)
1 man's 1 day work = 1/192
1 child's 1 day work = 1/432
Work done in 8 days = 8(12/192 + 8/432) = 8(1/16+1/54) = 35/54
Remaining work= ( 1- 35/53) = 19/54
(12 men + 11 children)'s 1 day work = 12/192 + 11/432 = 19/216
Now, 19/216 work is done in 1 day.
19/54 work will be done by them in (216/19 x 19/54) = 4 days
4.(a)
(A + B+ C)'s 1 day work = 1/24 +1/36 + 1/48 = 13/144
Work done by (A + B + C) in 4 days = 13/144 x 4 = 13/36
Work done by B in 3 days = (1/36 x 3) = 1/12
Remaining work = (1 - (13/36 + 1/12)) = 5/9
(A + B)'s 1 day work = (1/24 + 1/36) = 5/72
Now 5/72 work is done by A and B in 72/5 x 5/9 = 8 days
Hence, total time taken = (4 + 3 + 8) = 15 days
5.(c)
Let the number of persons eligible to vote be x. Then,
Number of eligible persons between 18 and 21 = 8% of x
Number of persons between 18 and 21, who voted = 85% of (8% of x) = 68x/1000
Required percentage = 68x/1000 x 1/x x 100 = 6.8%
6.(c)
Difference between the given numbers in the series is 2^2, 3^2, 4^2 and so on.
Hence 177 + 25 = 202
7.(b)
4 x 0.5 = 2
2 x 1 = 2
2 x 1.5 = 3
3 x 2 = 6
6 x 1.5 =15
8.(d)
Difference between the numbers in the given series are multiples of 16.
16, 32, 48, and so on
Hence the next number will be 307 + 80 = 387
9.(d)
5 x 3 - 1 =14
14 x 3 - 2 =40
40 x 3 - 3 =117
117 x 3 - 4 =347
347 x 3 - 5 =1036
10.(d)
12 x 2 =24
24 x 4 =96
96 x 6 =576
576 x 8 = 4608
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