Quantitative Aptitude Test 5

    Question 1Average Speed for Combined Journey

    A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

    Question 2Price Change Impact

    The price of sugar increases by 25%. By what percentage should a family reduce its consumption so that the expenditure remains the same?

    Question 3Age Ratio Progression

    The present ages of A and B are in the ratio 5 : 3. After 4 years, the ratio of their ages will be 3 : 2. What is A's present age?

    Question 4Principal from Interest Amount

    A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

    Question 5SI and CI Relationship Problem

    Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

    Question 6Weight Range Problem

    In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?

    Question 7Price Calculation for Desired Gain

    When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

    Question 8Women and Children Work Rate

    10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

    Question 9Word Arrangement with Vowels in Specific Positions

    In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

    Question 10Conditional Probability with Dice

    A die is rolled twice. Given that the sum is 8, what is the probability that the first roll was 3?

    Question 11Speed Comparison with Time Difference

    In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

    Question 12Mixed Percentage Problem

    A shopkeeper marks his goods 40% above the cost price. He gives a discount of 15% on marked price and still makes a profit of ₹306 on an article. What is the cost price of the article?

    Question 13Complex Ratio Distribution

    A certain amount is distributed among A, B, and C in the ratio 2 : 5 : 7. If B and C together get Rs. 1800 more than A, what is the total amount distributed?

    Question 14Rate Calculation from Two Different Amounts

    A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

    Question 15SI to CI Conversion for Same Principal

    If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

    Question 16Weight Average Problem

    The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then what is the weight of B?

    Question 17Mixture and Profit Calculation

    A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

    Question 18Sequential Work with Different Start Times

    X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

    Question 19Word Arrangement with Consonants Together

    In how many different ways can the letters of the word 'EDUCATION' be arranged in such a way that the consonants always come together?

    Question 20Independent Events Probability

    The probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/4. What is the probability that the problem is solved if both attempt it independently?