Question Bank - Arithmetic - Hemant Malhotra



  • Q26) P, Q and R start a venture with Rs.30,000, Rs.40,000 and Rs.50,000 respectively. R leaves after 2 months and, two months later, rejoins, investing half of his original investment. Q leaves six months after the start of the business and, three months later, rejoins, investing 75% of his original investment. P keeps his capital invested throughout. The venture earns an annual profit of Rs.1,98,000. P’s earnings exceed R’s by?



  • Q27) When the cost of an article increases by Rs. 350, a trader increases his selling price by 10%. Because of these changes his profit percentage decreases from 20% to 15%. Find the cost price of the article after the increase



  • Q28) Two pipes A and B can fill a tank in 4hr and 5 hrs respectively. If they are turned on alternately for 1 hr each, after how many hours will the tank be filled?



  • Q29) In a 100 m race, A beats B by 20 m. The next time they run another 100 m race, A gives B a start of 36 m. By what margin will the winner beat the loser?



  • Q30) Chian is between her home and the stadium. To get to the stadium, she can walk directly to the stadium or else she can walk home and then ride a bicycle to the stadium. She rides 7 times as fast as he walks and both choices require the same amount of time . What is the ratio of Chian's distance from her home to her distance to the stadium?



  • Q31) Raman, Boman, and Daman run a race along a rectangular plot ABCD such that Raman takes the route A-C-D-B-A, Boman runs along A-D-B-C-A and Daman runs along A-D-C-B-A. They all begin the race together and finish at the same time. If the ratio of the speeds of Raman, Boman and Daman is 18:25:17, find the ratio of the perimeter of the rectangle ABCD to its shortest side..



  • Q32) There are two tanks T1 and T2. Two pipes P1 and P2 are used to fill these tanks. When operating alone, P1 takes 12 hours more to fill T1 than to fill T2, but P2 takes 24 hours more to fill T1 than to fill T2. When operating together how many hours more, will they take to fill T1 than to fill T2



  • Q33) Vijay covers 910 km by boat, road and rail in the ratio 4 : 3 : 6 respectively. Surprisingly, the speeds at which the journey was covered were also in the ratio 4 : 3 : 6 respectively. The total time taken for the journey was 89 hours. The ratio of the time taken by boat, road and rail was



  • Q34) Two sample CAT papers containing equal number of questions were to be prepared by John and Raymond. John had tough and simple question in the ratio of 19: 6. Raymond had tough and simple question in the ratio of 47: 3. Later it was decided that the two papers should be merged. What is the percentage of tough questions in the final paper?



  • Q35) A family has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there ?



  • Q36) What was the day on 20th, June 1776?
    (a) Thursday
    (b) Wednesday
    (c) Tuesday
    (d) Friday



  • Q37) Sridhar and Srinath go to a restaurant and order 1 black coffee and 1 milk which are served in cups of equal volume. On arrival of the order, Sridhar takes a spoonful of milk from Srinath’s cup and Srinath takes one spoonful of coffee from Sridhar’s cup and they both mix the spoonful in their cups. If both spoons are of equal volume, the ratio of milk in coffee cup to coffee in milk cup is



  • Q38) A final year MBA student gets 50% in the exam and 80% in the assignments. If the exam should count for 70% of the final result and the assignment for 30%, what will be the final score of the student, if professors decide to use weighted harmonic mean to uneven performances?



  • Q39) The burning train went to Kolkata from Delhi at a speed of 60 kmph. While returning it covered 2/3rd of the distance at a speed of 90 kmph and rest of the distance at a speed of 10 kmph. What is the average speed for the entire journey?



  • Q40) When working alone A, B and C can complete a piece of work in 8, 12 and 30 days respectively. At the most only two people can work on each day and nobody works for more than two consecutive days. What is the minimum number of days that they will take to finish the work?



  • Q41) A sum was invested in a fixed deposit at a particular rate of interest per annum compounded annually. The interest earned in the first year was Rs. 400 and the interest earned in the second year was Rs. 416. What was the interest earned in the third year?



  • Q42) wo candles P and Q are of equal length. Candle Q takes 1 hour to burn completely. As candle P is thicker than candle Q, it takes 3 hours to burn completely. If both the candles are lit together, after how much time does the length of candle Q become half the length of candle P?



  • Q43) Ravi and Akash run a 2 km long race. Ravi beats Akash by 2 minutes. If Akash increases his speed by 2 km/hr and Ravi decreases his speed by 2 km/hr, Akash will beat Ravi in the same race by 2 minutes. What are the speeds of Ravi and Akash?
    a) 15 km/hr, 12 km/hr
    b) 10 km/hr, 8 km/hr
    c) 8 km/hr, 6 km/hr
    d) 12 km/hr, 10 km/hr



  • Q44) 10 men can do a piece of work in 30 days. 10 men start the work and from the 2nd day onwards, at the start of each day, 1 extra man is added to complete the work. In how many days will the work be completed?



  • Q45) Two swimmers starts swimming simultaneously from the same point, one towards the south and the other towards the east. After two hours the shortest distance between them is 100 km. The speed of the slower swimmer is 75% of that of the faster swimmer. What is the speed of the faster swimmer?


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