Question Bank  Arithmetic  Hemant Malhotra

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?

Q46) Two cyclists are travelling at a speed of 3 km/hr and 10 km/hr around a circular track. What should be the ratio of number of distinct points that they would meet on that track if they travel in the same direction first and in the opposite direction next?

Q47) Shefali and Parul have got a certain number of red and black marbles with them. The ratio of number of red marbles and black marbles with Shefali and Parul is 7 : 1 and 9 : 1 respectively. If in all they have 90 marbles, then how many red marbles could Parul have?

Q48) Nine mangoes, four apples and six pineapples cost Rs 114. lf four mangoes, six apples and nine pineapples also cost Rs 114, what is the cost of five mangoes?
(A) 30
(B) 45
(C) 40
(D) Cannot be determined

Q49) A man arrrves at his destination at 12:00 p.m., if he cycles there at 8 km/hr. He would arrive there at 10:00 a.m, if he cycles there at 12km/hr. find the speed (in km/hr) at which he must cycle to get there at 2:00 p.m.

@hemant_malhotra 7/3 ??

@hemant_malhotra 7/13

Q50) Bhagat and Chandu start simultaneously from village X to village Y, with their respective speeds in the ratio of 3 2. After traveling onefourth of the total distance. Chandu triples his speed and travels for some more time. Following which, he again changes his speed and completes the rest of the journey. Bhagat, however maintains his initial speed throughout the journey. If both Bhagat and Chandu reach the village Y at the same time, and the time for which Chandu travel'ed at thrice his initial speed was onethird or his total time of travel, then find the ratio of the respective speeds with which Bhagat and Chandu reach the village Y.
a) 24 : 7
b) 18 : 7
c) 7 : 2
d) 3 : 1
e) 4 : 1

Let total distance be 360x
and speed be 3x and 2x
Time by B = 360x/3x = 120
so Total time by C has to be 120
Now first 1/4 = 360 * 1/4 = 90x
Now first distance 1/4 = 360*1/4 = 90 so time = 45
next , 1/3 of total time ie 120 so 40
time left 40+42 = 85 so 12085 = 35
and distance left =360x  90x  240x = 30x
so speed has to be 30x/35 = 6x/7
so final ratio
3x: 6x/7
or 7:2