1. A person covered some distance in 24 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was
(a)900 km
(b)1350 km
(c)675 km
(d)2700 km
(e)None of these
EXPLANATION
(b)
Let the total distance be 2D. Now,
D/75+D/45=24
D = 675
Total distance = 2 * 675 = 1350
2. In how many different ways can the letters of the word DESIGN be arranged so that the vowels are at the two ends?
(a) 48
(b) 72
(c) 36
(d) 24
(e) None of these
EXPLANATION
(a)
Number of ways to arrange vowels = 2!
Number of ways to arrange consonants = 4!
Total number of arrangements = 2! * 4! = 48
3. A car runs at the speed of 60 kms per hour when not serviced and runs at 72 kms/hr. when serviced. After servicing the car covers a certain distance in 12 hours. How much time will the car take to cover the same distance when not serviced?
(a) 16.4 hours
(b) 13 hours
(c) 16 hours
(d) 14.4 hours
(e) None of these
EXPLANATION
(d)
Required number of hours = (72*12)/60=14.4
4. An athlete has to cover a distance of 18 km in 45 minutes. If he covers half of the distance in 1/3rd of the total time, what should be his speed (km/hr.) to cover the remaining distance in time ?
a) 15 km/h.
b) 12 km/h.
c) 18 km/h.
d) 9 km/h.
e) 15 km/h.
EXPLANATION
C
1/3rd of 45 min = 15 min = 9 km
5. Two metro trains each 120m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster metro train is
a) 75 km/hr.
b) 72km/hr.
c) 45 km/hr.
d) 60 km/hr.
e) 50 km/hr.
EXPLANATION
B
D = 120 + 120 = 240 m., t = 8s.
Speed of slow train = s, faster = 2s
Total speed = 2s + s = 3s
So, 3s = 240/8 = 30 m/s.
V = 30/3 = 10 m/s.
2V = 20 m/s. or 72 km/hr
6. A Girl can row 30 km/hr. in still water and the river is running at 10 km/hr. If she takes 3 hour to row to a place and back, how far is the place ?
a) 16 km.
b) 30 km.
c) 40 km.
d) 50 km.
e) 60 km.
EXPLANATION
D
D = x km.
Speed upstream = 30 – 10 = 20 km/hr.
Speed downstream = 30 + 10 40 km/hr.
x/20 + x/40 = 3
x = 40 km
7. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
a) Rs. 375
b) Rs. 400
c) Rs. 600
d) Rs. 800
e) Rs. 650
EXPLANATION
Option B
8. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
a) 4 days
b) 5 days
c) 6 days
d) 7 days
e) 8 days
EXPLANATION
Option A
9. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
a) 63
b) 90
c) 126
d) 45
e) 135
EXPLANATION
Option A
