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A train travels 120 km in 2 hours and then 180 km in 3 hours. What is the average speed of the train for the entire journey?
A
50 km/h
B
60 km/h
C
70 km/h
D
80 km/h
Correct Answer:
B. 60 km/h
Explanation:
Total distance = 120 + 180 = 300 km. Total time = 2 + 3 = 5 hours. Average speed = 300/5 = 60 km/h
If 15% of x is 45, what is 25% of x?
Explanation:
15% of x = 45, so x = 45/0.15 = 300. Then 25% of 300 = 0.25 × 300 = 75
A shopkeeper buys an item for Rs. 800 and sells it at a profit of 20%. What is the selling price?
A
Rs. 920
B
Rs. 960
C
Rs. 1000
D
Rs. 1020
Correct Answer:
B. Rs. 960
Explanation:
Selling Price = Cost Price + Profit = 800 + (20% of 800) = 800 + 160 = 960
Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. How long will it take to fill the tank if both pipes are opened together?
A
6.5 hours
B
7.2 hours
C
7.5 hours
D
8 hours
Correct Answer:
B. 7.2 hours
Explanation:
Rate of A = 1/12, Rate of B = 1/18. Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 hours
If a number is divided by 7, it leaves a remainder of 4. If the same number is divided by 11, what could be the remainder?
A
3
B
5
C
7
D
Cannot be determined
Correct Answer:
D. Cannot be determined
Explanation:
The number could be 11, 18, 25, 32, etc. (of form 7k+4). When divided by 11, remainders vary: 11→0, 18→7, 25→3, 32→10. Cannot determine uniquely.
A man invests Rs. 5000 at 8% per annum simple interest. How much will be his total amount after 3 years?
A
Rs. 6200
B
Rs. 6400
C
Rs. 6600
D
Rs. 6800
Correct Answer:
A. Rs. 6200
Explanation:
Simple Interest = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1200. Total = 5000 + 1200 = 6200
In a class of 60 students, 35% are girls. How many boys are there?
Explanation:
Girls = 35% of 60 = 21. Boys = 60 - 21 = 39
The ratio of ages of A and B is 5:3. If A is 20 years old, how old is B?
A
10 years
B
12 years
C
14 years
D
16 years
Correct Answer:
B. 12 years
Explanation:
A:B = 5:3. If A = 20, then 5x = 20, so x = 4. B = 3x = 3(4) = 12 years
A person covers 60% of a journey by train, 30% by bus, and the remaining distance of 20 km by walk. What is the total distance?
A
100 km
B
120 km
C
150 km
D
200 km
Correct Answer:
D. 200 km
Explanation:
Train + Bus = 60% + 30% = 90%. Walk = 10% = 20 km. Total = 20/0.10 = 200 km
A box contains 3 red balls, 4 blue balls, and 5 green balls. What is the probability of drawing a red ball?
Explanation:
Total balls = 3 + 4 + 5 = 12. P(red) = 3/12 = 1/4
