Question 1: Journey with Different Speeds for Each Half
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Question 2: Salary and Savings Problem
Ramesh spends 75% of his salary and saves ₹6,000 per month. His colleague Suresh earns 20% more than Ramesh but saves the same amount. What percentage of his salary does Suresh spend?
Question 3: Three-Number Ratio Chain
The sum of three numbers is 98. If the ratio of the first to second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:
Question 4: Effective Interest Rate with Compounding
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
Question 5: Fixed Deposit Maturity Amount
Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?
Question 6: Family Age Problem
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Question 7: Percentage Profit on Toys
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Question 8: Men and Women Work Rate Problem
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Question 9: Committee Formation from Men and Women
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Question 10: Drawing Cards Without Replacement
Two cards are drawn from a deck of 52 cards without replacement. What is the probability that both cards are aces?
Question 11: Speed Ratio Problem
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
Question 12: Election Voting Analysis
In an election, candidate A got 45% votes, candidate B got 35% votes, and the remaining 20% votes were invalid. If the total votes polled were 8,000, how many more votes did A get than B?
Question 13: Investment Partnership Ratio
Three partners A, B, C invest in a business in the ratio 3 : 4 : 5. After 6 months, A increases his investment by 50% and B decreases his by 25%. If the total profit at year end is Rs. 94,000, what is C's share?
Question 14: Different Rates for Different Periods
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
Question 15: Effective Annual Rate for Half-Yearly Compounding
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
Question 16: Average Cost of Petrol
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Question 17: Loss Equal to Cost Price of Items
On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Question 18: Work with Partner Leaving Midway
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
Question 19: Ball Selection with Minimum Condition
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Question 20: Drawing Colored Balls Probability
A bag contains 5 red balls and 3 blue balls. If 2 balls are drawn at random without replacement, what is the probability that both balls are red?