[nilesh]

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Can you provide me some Quantitative Aptitude Questions for preparation of Probationary Officer Exam conducted by IBPS (Institute of Banking Personnel Selection)?

[Vishal Kotkar]

Some Quantitative Aptitude Questions for preparation of Probationary Officer Exam conducted by IBPS (Institute of Banking Personnel Selection) are as follows:

Q1. A certain sum of money was divided among A, B and C in a certain way. C got half as much as A and B together got. A got one third of what B and C together got. What is the ratio of A’s share to that of C’ s share?
(a) 1 : 4
(b) 3 : 4
(c) 4 : 1
(d) 3 : 5
(e) None of these

Q2. The wages of laborers in a factory increased in the ratio 22 : 25 and there was a reduction in their number in the ratio 15 : 11. Find the original wage bill if the present bill is Rs 5000.
(a) Rs 2500
(b) Rs 3000
(c) Rs 5000
(d) Rs 6000
(e) None of these

Q3. Rs 1220 is divided, among A, B, C and D such that B’s share is 5/9 th of A’s; C’s share is 7/10 th of B’s and D has 1/3rd as much as B and C together. Find A’s share
(a) Rs 540
(b) Rs 802
(c) Rs 100
(d) Rs 650
(e) None of these

Q4. A, B and C are partners. A receives 9/10 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs 270 when the profit rises from 12 to 15%. Find the capital invested by B and C each
(a) Rs 5000
(b) Rs 1000
(c) Rs 500
(d) Rs 1500
(e) None of these

Q5. Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is Rs 40,000, out of a total annual profit of Rs 33,000, C’s share will be
(a) Rs 9,000
(b) Rs 12,000
(c) Rs 11,000
(d) Rs 10,000
(e) None of these

Q6. Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by Rs 25 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
(a) Rs 80 lakh
(b) Rs 50 lakh
(c) Rs 40 lakh
(d) Rs 60 lakh
(e) None of these

Q7. In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
(a) 1 kg
(b) 200 gms
(c) 800 gms
(d) 1.8 kg
(e) None of these

Q8. When 30 percent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
(a) 3 : 4
(b) 4 : 3
(c) 3 : 2
(d) 4 : 5
(e) None of these

Q9. In Ram nagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400 what is the new ratio of school going children to non-school going children?
(a) 4 : 5
(b) 3 : 2
(c) 25 : 24
(d) 6 : 7
(e) None of these

Q10. Rs 1104 is divided between 3 men, 4 women and 6 boys, so that the share of man, a women and a boy are in the proportion of 3 : 2 : 1. How much does each boy get?
(a) Rs 48
(b) Rs 64
(c) Rs 96
(d) Cannot be determined
(e) None of these

Q11. A, B and C started a business. A invests 1/2 capital for 1/4 time, B invests =1/8 capital for 1/2 time and C invests the remaining capital for whole time. Find the share of B in the total profit Rs 9900.
(a) Rs 2200
(b) Rs 1100
(c) Rs 6600
(d) Rs 4400
(e) None of these

Q12. Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask.
(a) 55%
(b) 50%
(c) 45%
(d) 25%
(e) None of these

Q13. Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X : Y in the first alloy is 6 : 5 and that in the second is 7 : 13, how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second so as to produce a new alloy containing 40% of metal Y?
(a) 11
(b) 12
(c) 13
(d) 14
(e) None of these

Q14. Two equal glasses are respectively 2/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. The ratio of milk and water in the tumbler is
(a) 5 : 6
(b) 11 : 13
(c) 13 : 11
(d) Cannot be determined
(e) None of these

Q15. The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?
(a) 30 years
(b) 28 years
(c) 37 years
(d) 35 years
(e) None of these


Q1. What will be the compound interest on Rs. 18600 for 2 years, the rate of interest for first year being 8% and for the second year being 15%?
(a) Rs. 4499.90
(b) Rs. 4963.20
(c) Rs. 4237.80
(d) Rs. 4501.20
(e) Rs. 3837.10

Q2. The respective ratio between the present ages of father, mother and daughter is 7 : 6 : 2. The difference between mother’s and the daughter’s age is 24 yr. What is the father’s age at present?
(a) 43 yr
(b) 42 yr
(c) 39 yr
(d) 38 yr
(e) None of these

Q3. The ratio of the ages of A and B is 4 : 3 respectively. The ratio of their ages eight years from now will be 6 : 5 respectively. How old was A, when B was 7 years old?
(a) 16 yr
(b) 11 yr
(c) 9 yr
(d) 12 yr
(e) None of these

Q4. 12 yr ago, the ages of A and B were in the ratio 15 : 13 respectively. 19 yr from now the respective ratio of their ages will be 23 : 22. What is the sum of their ages at present?
(a) 57 yr
(b) 54 yr
(c) 52 yr
(d) 59 yr
(e) None of these

Q5. How much will be the compound interest to be paid on a principle amount of Rs. 85,000 after 3 yr at the rate of 6 p.c.p.a.?
(a) 16623.36
(b) 16236.36
(c) 16326.36
(d) 16632.36
(e) None of these

Q6. What will be the difference between the compound interest and simple interest at the rate of 5% per annum on an amount of Rs. 4000 at the end of 2 yr?
(a) Rs. 10
(b) Rs. 20
(c) Rs. 25
(d) Data inadequate
(e) None of these

Q7. The ratio between the present ages of P and Q is 3 : 4 respectively. 4 yr hence Q will be 5 yr older than P. What is P’s present age?
(a) 15 yr
(b) 20 yr
(c) 25 yr
(d) Cannot be determined
(e) None of these

Q8. A sum of money fetches Rs. 408 as compound interest at the rate of 4% per annum at the end of 2 yr. What is the sum?
(a) Rs. 6000
(b) Rs. 5000
(c) Rs. 4000
(d) Cannot be determined
(e) None of these

Q9. Arjun invested an amount with company X for two years @ simple interest rate 15 pcpa. The entire amount obtained from company X after two years he invested with company Y @ compound interest rate 12 pcpa for two years. If the amount finally received by him was Rs. 81536, what was the amount invested by him originally with company X?
(a) Rs. 65000
(b) Rs. 60000
(c) Rs. 56000
(d) Rs. 50000
(e) Rs. 45000

Q10. An amount of Rs. 10000 becomes Rs. 14641 in two years if the interest is compounded half yearly. What is the rate of compound interest % per annum?
(a) Rs. 10
(b) Rs. 20
(c) Rs. 16
(d) Rs. 12
(e) None of these

Q11. Simple interest on a certain sum at 7 p.c.p.a for 4 years is Rs. 3584. What will be the compound interest on the same principal at 4 p.c.p.a. in one year when interest is compounded quarterly?
(a) Rs. 520.48
(b) Rs. 515.75
(c) Rs. 519.73
(d) Rs. 550
(e) None of these

Q12. Pranita gave Rs. 900 to her brother which is equal to two fifth of the simple interest that she got in 6 years at the rate of 15 p.c.p.a. What was the sum of money (principal) that she had deposited?
(a) Rs. 2,250
(b) Rs. 2,400
(c) Rs. 2,600
(d) Rs. 2,500
(e) None of these

Q13. What is the difference between the simple and compound interest earned from a sum of Rs. 13033 at a rate of 13 per cent per annum for a period of 3 years (rounded off to 2 digits after decimal)?
(a) Rs. 5,82.87
(b) Rs. 689.41
(c) Rs. 5,72.28
(d) Rs. 680.94
(e) None of these

Q14. Amit’s present age is three times Pratibha’s present age and nine-thirteenths of his father’s present age. The sum of the present ages of all of them is 150 years. What is the difference between Pratibha’s present age and Amit’s father’s present age?
(a) 56 years
(b) 64 years
(c) 60 years
(d) Cannot be determined
(e) None of these

Q15. The compound interest accrued in two years on a principal of Rs. 15,800 is Rs. 7716.72. What is the rate of interest pcpa?
(a) 22%
(b) 16%
(c) 18%
(d) Cannot be determined
(e) None of these