# Important Arithmetic/Miscellaneous(SI,CI, Speed and Time, Profit and Loss, Time and Work, Averages, Ages, Ratio and Proportion etc.) Questions for IBPS PO Mains 2017

Q1. A software company employed 25 people on a job. He was paid Rs. 275 for the work. After retaining 20 per cent of this sum, company distributed the remaining amount amongst the people. If the number of men to women was in the ratio 2 : 3 and their wages in the ratio 5 : 4, what wages did a woman la get?
Options:
(a) Rs. 10
(b) Rs. 8
(c) Rs. 12
(d) Rs. 15
(e) None of these
Q2. A sum of Rs 18750 is left by a father to be divided between two sons of 12 and 14 years of age, so that when they attain maturity at 18, the amount  received by each at 5 percent simple interest will be the same. Find the sum to each son allotted at present .
Options:
(a) Rs 9000, Rs 9750
(b) Rs 8000, Rs 1750
(c) Rs 9500, Rs 9250
(d)Rs. 10000, Rs. 8750
(e) None of these
Q3. There are 3 containers P, Q and R which contain water, milk and acid respectively in equal quantities. 10% of the content of P is taken out and poured into Q. Then, the same 10% from Q is transferred to R, from which again the same 10% is transferred to P. What is the proportion of milk in container P at the end of the process?
Options:
(a) 9/10
(b) 1/11
(c) 1/121
(d) 10/1011
(e) None of these

Q4. A shopkeeper can buy items at the rate of Rs. 20 per item. The particular item is part of an overall collection and the value is linked to the number of items that are already in the market. So, the merchant sells the first item for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of items he should sell?
Options:
(a) 24
(b) 18
(c) 32
(d) 27
(e) None of these
Q5. Bhaklol Student picks a letter from the set of English alphabet and finds it to be a vowel. What is the probability that the letter is E?
Options:
(a) 1/26
(b) 5/6
(c) 1/5
(d) 5/26
(e) None of these
Q6. Train Allar, travelling at 84 kmph, overtook train Ballar, traveling in the same direction, in 10 seconds. If train Ballar had been traveling at twice its speed, then train Allar would have taken 22.5 seconds to overtake it. Find the length of train Ballar, given that it is half the length of train Allar.
Options:
(a) 50 m
(b) 100 m
(c) 200 m
(d) 150 m
(e) None of these
Q7. The average age (in years) of a group of people is twice the number of people in the group. A person, P, leaves the group and the average age is still twice the number of people in the group. Now another person, Q, leaves the group and the average age is still twice the number of people in the group. If the ratio of the ages of P and Q is 19 : 17, then find the average age of the group, if one more person, R, of age 16 years, leaves the group.
Options:
(a) 10 years
(b) 15 years
(c) 16 years
(d) 18 years
(e) None of these
Q8. Two vessels contain a mixture of alcohol and water. In the first vessel the ratio of alcohol to water is 8:3 and in the second vessel the ratio is 5 : 1. A 35 litre cask is filled from these vessels so as to contain a mixture of alcohol and water in the ratio of 4 : 1. How many litres are taken from the first vessels ?
Options:
(a) 11 litres
(b) 22 litres
(c) 16.5 litres
(d) 27.5 litres
(e) None of these
Q9. There are 2 bottles containing a mixture of wine, water and spirit. The first bottle contains wine, water and spirit in the ratio 3 : 5 : 2. The second bottle contains water and wine in the ratio 5 : 4. 1litre of the first and 2 litres of the second are mixed together. What fraction of the mixture is spirit?
Options:
(a) 1/15 litres
(b) 6/13 litres
(c) 2/15 litres
(d) 6/19 litres

(e) None of these