Q. Two trains start from the same point in opposite directions at 55 km/h and 65 km/h. How far apart will they be after 2 hours?
(A)
200 km
(B)
220 km
(C)
240 km
(D)
260 km
✅ Correct Answer: (C)
240 km
Explanation: Relative speed = 120 km/h → Distance = 120×2 = 240 km.
Q. A train 200 m long crosses a platform in 40 seconds. If its speed is 54 km/h, what is the platform length?
(A)
350 m
(B)
400 m
(C)
450 m
(D)
500 m
✅ Correct Answer: (B)
400 m
Explanation: Speed = 15 m/s → Distance = 15×40 = 600 m → Platform = 600−200 = 400 m.
Q. A train crosses a standing man in 5 seconds at 72 km/h. What is the length of the train?
(A)
80 m
(B)
90 m
(C)
100 m
(D)
110 m
✅ Correct Answer: (C)
100 m
Explanation: Speed = 20 m/s → Length = 20×5 = 100 m.
Q. What is the probability of getting a head when a fair coin is tossed once?
(A)
0
(B)
1/2
(C)
1
(D)
2
✅ Correct Answer: (B)
1/2
Explanation: A fair coin has 2 equally likely outcomes: Head and Tail. Probability of Head = 1/2.
Q. A die is rolled once. What is the probability of getting an even number?
(A)
1/6
(B)
1/3
(C)
1/2
(D)
2/3
✅ Correct Answer: (C)
1/2
Explanation: Even numbers on a die are 2, 4, and 6. Total favorable outcomes = 3, total outcomes = 6. Probability = 3/6 = 1/2.
Q. What is the probability of drawing an Ace from a standard deck of 52 cards?
(A)
1/13
(B)
1/4
(C)
4/13
(D)
1/52
✅ Correct Answer: (A)
1/13
Explanation: There are 4 Aces in a deck of 52 cards. Probability = 4/52 = 1/13.
Q. Two coins are tossed together. What is the probability of getting two heads?
(A)
1/2
(B)
1/3
(C)
1/4
(D)
3/4
✅ Correct Answer: (C)
1/4
Explanation: Possible outcomes are HH, HT, TH, TT. Only HH gives two heads. Probability = 1/4.
Q. If a card is drawn from a deck, what is the probability that it is a King?
(A)
1/26
(B)
1/13
(C)
4/13
(D)
1/4
✅ Correct Answer: (B)
1/13
Explanation: There are 4 Kings in 52 cards. Probability = 4/52 = 1/13.
Q. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a blue ball?
(A)
3/8
(B)
5/8
(C)
1/2
(D)
3/5
✅ Correct Answer: (A)
3/8
Explanation: Total balls = 8. Blue balls = 3. Probability = 3/8.
Q. What is the probability of getting a sum of 7 when two dice are rolled?
(A)
1/12
(B)
1/6
(C)
5/36
(D)
1/3
✅ Correct Answer: (B)
1/6
Explanation: Possible combinations are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total favorable outcomes = 6 out of 36. Probability = 6/36 = 1/6.
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