1. What is the probability that the position in which the consonants appear remain unchanged when the letter of the word ‘math’ are rearranged?
(a) ¼ (b) 1/6
(c) 1/3 (d) 1/24
2. How many different four letter words can be formed( the words need not be meaningful) using the letters of the word “MEDITERRANEAN” such that the first letter is E and the last letter is R?(a) 59 (b) 11!/(2! X 2! X 2!)
(c) 56 (d) 23
(e) none of these
3. Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
(a) 2^10 (b) 2^9
(c) 3*2^8 (d) 3*2^9
(e) none of these
4. In how many different ways can the letter of the word “TOYS” can be arranged?
(a) 24 (b) 48
(c) 120 (d) 160
(e) none of these
5. In how many different ways can the letter of the word “OFFICE” can be arranged?
(a) 5040 (b) 2520
(c)1440 (d) 2520
(e) none of these
6. A cycle covers the distance of 1400m in 2min and 15 sec. What is the speed of the cycle?
(a )35kmph (b) 20kmph
(c) 40kmph (d) 25kmph
(e) none
7. A train crosses a platform in 34 sec. The length of train is 102m. What is the speed of the train?
(a) 12m/s (b) 2 m/s
(c) 3m/s (d) 10m/s
(e) none of these
8. The distance traveled by a bus is 820km. The speed of the bus is 1 more than twice the time taken to travel the distance. What will be the ratio of speed of train and time taken to travel?
(a) 20:41 (b) 41:20
(c) 21:41 (d) 41:21
(e) none of these
9. The length of a bridge which a train 130m long and traveling at 45kmph can cross in 30sec is:
(a) 200m (b) 250m
(c) 245m (d) 225m
(e) none of these
10. A train can travel 50% faster than a bus both start from a point P at the same time. On the way, however, the train lost about 12.5min while stopping at a station. The speed of the bus is?
(a) 100kmph (b) 130kmph
(c) 120kmph (d) 110kmph
(e) none of these
ANSWERS:
1 | A |
2 | A |
3 | B |
4 | A |
5 | A |
6 | C |
7 | C |
8 | B |
9 | C |
10 | C |
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