A train travels 300 km in 5 hours. If it increases its speed by 20%, how long will it take to cover 360 km?
Original speed = 5300 = 60 km/h. New speed = 60 × 1.2 = 72 km/h. Time = 72360 = 5 hours
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
Rate of A = 121, Rate of B = 151. Combined rate = 121 + 151 = 605 + 604 = 609 = 203. Time = 320 = 6.67 hours
A man bought a car for Rs. 5,00,000 and sold it at a loss of 15%. What is the selling price?
Selling Price = Cost Price × (1 - Loss%). SP = 500000 × (1 - 0.15) = 500000 × 0.85 = Rs. 4,25,000
If the compound interest on Rs. 10,000 at 10% per annum for 2 years is compound annually, what is the amount?
Amount = P(1 + R/100)^n = 10000(1 + 10010)^2 = 10000(1.1)^2 = 10000 × 1.21 = Rs. 12,100
What is the average of first 20 natural numbers?
Sum of first n natural numbers = n(n+1)/2. Sum = 20×221 = 210. Average = 20210 = 10.5
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A person walks 6 km North, then 8 km East. What is the shortest distance from the starting point?
Using Pythagorean theorem: Distance = √(6² + 8²) = √(36 + 64) = √100 = 10 km
If A:B = 3:4 and B:C = 5:6, what is A:B:C?
A:B = 3:4 (multiply by 5) = 15:20. B:C = 5:6 (multiply by 4) = 20:24. So A:B:C = 15:20:24
A mixture contains milk and water in the ratio 5:3. If the total quantity is 80 liters, how much milk is there?
Milk:Water = 5:3, Total parts = 8. Milk = 85 × 80 = 50 liters
A number increased by 25% becomes 500. What is the original number?
Let original number = x. x × 1.25 = 500. x = 1500.25 = 400
Find the LCM of 12, 18, and 24.
12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3. LCM = 2³ × 3² = 8 × 9 = 72
If all roses are flowers and some flowers are red, which conclusion is valid?
We cannot conclude that some roses are red because we don't know if the red flowers include roses or not
Find the odd one out: 15, 20, 25, 30, 35, 40, 45, 55
All numbers except 55 are multiples of 5 with a difference of 5. The difference before 55 is 10 instead of 5
MORNING is to NIGHT as SPRING is to ?
Morning and Night are opposites. Spring and Winter are opposite seasons
If you rearrange the letters of 'STOP', you can make another word. Which word cannot be made?
POST requires two different letters not in STOP (needs T, O, P, S but POST needs different arrangement). All others are valid anagrams
A man is facing North. He turns 90 degrees clockwise, then 45 degrees counter-clockwise, then 180 degrees clockwise. Which direction is he facing now?
North → +90° CW = East → -45° CCW = NE → +180° CW = SW (Southwest, closest to option C is West in this context)
Which word does NOT belong to the group? CAR, TRUCK, BICYCLE, AIRPLANE
All except AIRPLANE are land vehicles. AIRPLANE is an air vehicle
What should come next in the series? A, B, D, G, K, ?
Pattern: A(0), B(+1)=1, D(+2)=3, G(+3)=6, K(+4)=10, P(+5)=15. Each gap increases by 1
Statements: Some cats are dogs. All dogs are animals. Conclusion: Some cats are animals. Is this conclusion valid?
If some cats are dogs, and all dogs are animals, then those cats that are dogs must be animals. Therefore, some cats are animals is valid
TIGER: STRIPES as ZEBRA: ?
Tiger is characterized by stripes. Zebra is also characterized by stripes
Select the word that best completes: 'Plagiarism is to writing as _____ is to music.'
Plagiarism is unethical copying in writing. It maintains the same meaning when applied to music
