Question Bank  Arithmetic  Hemant Malhotra

Q20) The speed of a truck without any load is 40 kmph. The speed diminishes by a quantity that is proportional to the cube root of the weight (in tons) it carries. Its speed is 34 kmph when it carries a load of 27 tons. What is the maximum load (in tons) it can carry so that its speed does not fall below 30 kmph?
a) 64
b) 125
c) 216
d) 343

Q21) From a place P, buses to A leave once every 30 minutes, buses to B leave once every 35 minutes, buses to C leave once every 45 minutes. If buses left for A, B and C simultaneously at 10:00 a.m, from P, when is the next occasion when buses leave together for each of the 3 destinations?
a) 12:30 p.m.
b) 8:50 p.m.
c) 10:30 p.m.
d) 8:30 p.m.

Q22) The average of 2 even natural numbers and 3 odd natural numbers is 689. If 791, 471 and 434 are three of the numbers and one of the even numbers is more than 434, find the maximum possible difference between any two of the five numbers.

Q23) In an examination, there are 100 questions. A student is awarded 12 marks for each correct answer.He loses 3 marks for each wrong answer and loses 2 marks for each unattempted question. The net score of Hari in that test is 625. The maximum number of questions attempted by Hari could be
a) 99
b) 80
c) 90
d) 75

Q24) In an alloy, zinc and copper are in ratio 1:2. In second alloy the same elements are in ratio 2:3. In what ratio should these two be mixed to form a new alloy in which zinc and copper are in ratio 5:8

Q25) Farook marks up the price of an article by 50% and then offers a discount of 20% to Shahrukh. Shahrukh sells it for Rs.20 more than the price at which he purchased it. If Shahrukh’s selling price is 30% more than the original cost price of the article, then Shahrukh’s profit percentage is?

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 ACDBA, Boman runs along ADBCA and Daman runs along ADCBA. 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?