**Bank Probationary Officer Solved Paper**

**Numerical Ability**

1. A shopkeeper purchases a packet of 50 pens for Rs. 500. He sells a part of the packet at a profit of 30%. On the remaining part, he incurs a loss of 10%. If his overall profit on the entire packet is 10%, what is the number of pens sold at profit?

a. 25

b. 30

c. 20

d. 15

e.None of these

2. For a loan of Rs.32,400 that I gave to my friend Anil, he promised to pay me the amount in monthly instalments starting with a certain amount & increasing the instalments every month a fixed amount of Rs.100. In this way he could clear off the loan in 24 months. How much was the first instalment?

a. 100

b. 200

c. 400

d. 500

e.None of these

*Directions (Qs 3 to 5): Study the following information carefully & answer accordingly**:*

* *

* (i) In a school a total of 220 students are studying together in two sections A & B in the ratio of 5:6. Students are studying only English or only Sanskrit or both English & Sanskrit.*

* *

* (ii) The number of students studying only English from section A & of those studying both English & Sanskrit from section B are equal & each of them is 40% of the students who are studying only English from section B.*

* *

* (iii) The number of students studying only Sanskrit from section A is 30% of the number of students studying in section B & 60% of the students who are studying only English from section B.*

3. How many students are studying both English & Sanskrit from section A?

a. 48

b. 16

c. 40

d. 36

e.None of these

4. How many students are studying only Sanskrit from section B?

a. 36

b. 10

c. 12

d. 24

e.None of these

5. Number of students studying only English from section B is what percent more than that of the students studying only English from section A?

a. 150%

b. 100%

c. 75%

d. 20%

e.None of these

*Directions (Qs 6 & 7): Study the following information carefully & answer accordingly:*

* *

* A survey was conducted by an agency in 25000 houses. It was found that 48% used ‘Head & Shoulder’, 48% used ‘Clinic Plus’ & 53% used ‘Pentene Shampoo’. 12% used both ‘Head & Shoulder’ & ‘Clinic Plus’ only & 10% used both ‘Clinic Plus’ & ‘Pentene’ only.*

* *

6. How many people used both Head & Shoulders & Pentene only if 8% used all the three?

a. 2750

b. 2500

c. 2000

d. Data inadequate

e.None of these

7. How many people used only Pentene if 8% used all the three shampoos?

a. 5000

b. 6000

c. 8000

d. 8500

*Directions (Qs 8 to 25): Following Questions are accompanied by three statements. You have to determine which statement is/are necessary/sufficient to answer the question**,*

* *

8. What is Sangita’s present age?

(1) Five years ago, Sangita’s age was double that of her son’s age that time.

(2) Present age of Sangita & her son are in the ratio 11:6 respectively.

(3) Five years hence, the respective ratio of Sangita’s age & her son’s age will become 12:7

a. Only 1 & 3

b. Only 2 & 3

c. Only 1 & 2

d. 1 , 2 & 3 All

e.None of these

9. Find out Rahul’s percentage of marks in the examination:

(1) He appeared in all the five papers of the exam carrying full marks of 100 for each paper.

(2) He gained 6% marks more than the marks needed for the first division.

(3) He got 30 marks more than the marks needed for first division.

a. 1 & 3 are sufficient

b. 2 alone is sufficient

c. Either only 2 or 1 & 3 together are sufficient

d. All together are necessary

e.None of these

10. What is the price of a chair?

(1) The price of three tables is equal to the price of seven chairs.

(2) The difference between the price of a table & that of a chair is Rs.900.

(3) The price of one table is 400/3% more than the price of one chair.

a. Only 1 & 2 together are sufficient

b. Only 1 & 3 together are sufficient

c. all together are necessary

d. 2 & either 1 or 3 together are sufficient.

e.None of these

11. What is the total number of boys in the college?

(1) The number of boys in the college is 30% more than that of girls.

(2) The ratio between them is 13:10

(3) Total number of students in the college is 3910.

a. Any two of them are sufficient

b. 1 & 2 together are sufficient

c. 1 & 3 together are sufficient

d. Either 1 & 3 together or 2 & 3 together are sufficient.

12. What is the staff strength of Company ‘X’?

(1) Male & female employees are in the ratio of 2:3 respectively

(2) Of the officer employees 80% are males

(3) Total number of officers is 132

a. 1 & 3 only

b. 2 & either 3 or 1 only

c. All 1, 2 & 3

d. Question cannot be answered

e.None of these

13. Two persons X & Y entered into a partnership. Find the share of X’s profit if,

(1) The ratio of the capitals of X & Y is 3:5

(2) X invested his money for two months more than Y

(3) Y’s share in the profit is Rs. 1000 less than the share of X

a. 1 & 2 are sufficient

b. All together are necessary

c. All together are not necessary

d. Even all taken together are not sufficient

e.None of these

14. Two persons L & M entered into a partnership. Find the share of L in the total profit

(1) The ratio of the capitals of L & M is 4:5

(2)L invested his money two months more than M

(3) M’s share in total profit is Rs.800 more than the share of L

a. Questions cannot be answered even after using all the information

b. All statements are required to answer the question

c. 1 & 3 together

* * d. 1 & 2 together

e.None of these

15. Find the % discount on the market price offered by a shopkeeper

(1) If the shopkeeper does not give the discount, he will gain a profit of 50%

(2) If the shopkeeper gives the discount, the profit will be 38%

(3) The cost price of the article is Rs.400

a. Any two of them

b. All statements are required

c. 3 & either 1 or 2

d. Only 1 & 2 together

e.None of these

16. A shopkeeper sold an article & got Rs108 as profit. Find the profit percentage

(1) Selling price of the article is Rs.828.

(2) He gave 10% discount on the marked price, which is Rs.920.

(3) Cost price of the article is Rs.720.

a. Any two of them

b. Either 1 or 3

c. Any of them

d. Only 2

e.None of these

17. What is the cost price of an article?

(1) After allowing a discount of 10% on marked price, the shopkeeper charges Rs.810.

(2) If the shopkeeper does not give the discount, the shopkeeper gets a profit of 50%.

(3) If the shopkeeper gives only 5% discount on marked price, he will have 42.50% profit.

a. Any two of them.

b. 1 & 2 together.

c. 1 & either 2 or 3

d. Only 2 & 3

e.None of these

18. How much did an article originally cost?

(1) It changed hands three times & each seller gained 25%

(2) The third person sells it for Rs.250 more than the second.

(3) The second person sells it for Rs.200 more than the first.

a. 1 & either 2 or 3

b. Any two of them

c. Any of them

d. All statements are required

e.None of these

19. What was the profit earned on the cost price by Mahesh by selling an article?

(1) He got 15% concession on buying that article.

(2) He sold it for Rs.3060/-

(3) He earned a profit of 2% on the labeled price.

a. Only 1 & 2 together are required.

b. Only either 1 or 3 & 2 together are required

c. Even with all 1, 2 & 3 the answer cannot be arrived at

d. All 1, 2 & 3 together are required

e.None of these

20. How many articles were sold?

(1) Total profit earned was Rs.1596/-

(2) Cost price per article was Rs.632/-

(3) Selling price per article was Rs.765/-

a. 1 & 2 only

b. All 1, 2 & 3

c. Any two of the three

d. Question cannot be answered even after the information in all the three statements.

e.None of these

21. Rinku borrowed an amount of Rs.5000 from Milan & Rahul. What is the rate of interest?

(1) Rinku returned the amount of Rs.5400 after due date to Milan.

(2) Rinku returned the amount of Rs.5900 after due date to Rahul.

(3) Rinku returned the money to Milan by simple interest whereas to Rahul by compound interest.

a. Only 1 & 2 together are sufficient

b. Only 2 & 3 together are sufficient

c. Either 1 & 2 together or 2 & 3 together are sufficient

d. 1, 2 & 3 given together are not sufficient

e.None of these

22. The compound interest on a sum is Rs.573. Find the rate of interest

(1) The simple interest on the same amount at the same rate is Rs.540

(2) The sum is Rs.3000

(3) The compound interest is compounded half yearly

a. 1 & 2 are sufficient

b. 2 & 3 are sufficient

c. Any two statements are sufficient

d. All given together are not sufficient

e.None of these

23. Between P & Q who will get the maximum interest?

(1) P deposits a certain sum at 15% p.a. for one & half years, when the interest is compounded half yearly.

(2) Q deposits a certain sum of money at 15/2% per annum for 4 years, when the interest is compounded yearly.

(3) The ratio of sums of money of P & Q is 2:3

a. Only 1 & 2 together are sufficient.

b. Any two of the three statements are sufficient.

c. Either 1 & 2 together or 2 & 3 together are sufficient.

d. All 1, 2 & 3 together are necessary

e.None of these

24. The compound interest on a sum is Rs.625. Find the rate of interest.

(1) The sum is Rs.3500

(2) The simple interest on the same amount at the same rate is Rs.575

(3) The interest is compounded half yearly

a. Only 2 & 3 together are sufficient

b. Any two of the three statements are sufficient

c. All 1, 2 & 3 together are necessary

d. Even all together are not sufficient

e.None of these

25. What is the rate of interest?

(1) An mount becomes double in 5 years at simple interest

(2) The difference between compound interest & simple interest at the end of 2 years is Rs.200

(3) The sum is Rs.5000

a. Only 1

b. 1 & 2 together

c. Either 1 alone or 2 & 3 together

d. 3 & either 1 or 2

e.None of these

__ANSWERS with Hints :-__

__ __

1. a

2. b

*For Q. 3 to 5*

*From (1) Students in section A *

* = 5 x 220=100*

* 11*

*Students in section B = 120*

* *

* *

*From (3) Students studying only Sanskrit* *from section A *

* =30% of 120=36*

* »60% of students studying only English in section B=36*

* »Students studying only English in section B*

* = 36x100 =60*

* 60*

* *

*From (2) Number of students studying only English from section A = Number of students studying both Sanskrit & English from section B*

* = 40% of 60=24*

*Hence*

*Subject Section A Section B*

*Only English 24 60*

*Only Sanskrit 36 36*

__Both subjects 40 24 __

__ 100 120 __

__ __

3. c

4. a

5. a

6. a

7. b

8. a, b & c all are correct.

*(Let M be the age of Sangita & N be her son’s present age.*

* a. (M - 5) = 2(N - 5)*

* *

* »M = 2N – 10 + 5 = 2N – 5*

* *

* M+5 = 12*

* N+5 7*

* *

* Solving we get M = 55, N = 30*

* *

* *

* *

* *

* *

* *

* b. M = 11 or 6M = 11M*

* N 6*

* *

* M+5 = 12*

* N+5 7*

* *

* Solving we get M = 55, N = 30*

* *

*c. (M – 5) = 2(N – 5)*

* M = 11*

* N 6*

* *

* Solving we get M = 55, N = 30)*

* *

9. c

10. d

11. d

12. d (*No data is available regarding the non officer employees)*

* *

13. c

14. b

15. d

16. c

* ((1)» Selling price = Rs.828*

* Cost price = Rs. (828-108) = Rs.720*

* *

* Profit percentage = 108 x 100 = 15%*

* 720*

* *

* (3)» Profit percentage = 108 x 100 = 15%*

* 720*

* *

* (2)» Selling price = 90 x 920 = Rs.828*

* 100 *

* Profit = Rs.108*

* Cost price = Rs. (828-108) *

* = Rs.720*

* Profit percentage = 108 x 100 = 15%)*

* 720*

17. c

18. a

19. d

20. b

21. d*(No data is given for the time for which the amount was borrowed)*

* *

22. d

23. d

24. d

25. c

## 0 comments:

Post a Comment