Sbi Po Preliminary Quant 2016

SBI PO Preliminary Exam – Quantitative Aptitude 1

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Directions (1-5): Refer to the graph and answer the given questions.

Data related to the number of books purchased for two libraries (A and B) during 6 years.

Year

1. What is the ratio of the total number of books purchased for library A and B together in 2003

to the total number of books purchased for the same libraries together in 2007?

1) 22:31 2) 24:31 3) 11:17 4) 11:19 5) 22:35

2. What is the average number of books purchased for library A during 2004, 2005, 2007 and

2008?

1) 465 2) 455 3) 460 4) 445 5) 450

640

160

380

800760

520

240

360

600 680

480

840

2003 2004 2005 2006 2007 2008

A B



3. Out of the total number of books purchased by library A and B together in 2008, only 20%

are graphic novels. What is the total number of graphic novels purchased for library A and

B together in 2008?

1) 324 2) 312 3) 272 4) 336 5) 288

4. The number of books purchased for library B increased by what per cent from 2003 to 2006?

1) 1751

3% 2)172

1

3% 3) 196

2

3% 4) 183

1

3% 5) 194

2

3%

5. The number of books purchased for library B in 2004 is what per cent of the number of

books purchased for library A in 2006?

1) 30 2) 35 3) 55 4) 40 5) 45

Directions (6-10): In these questions, two equations numbered I and II have been given. You

have to solve both the questions and mark the correct answer.

6. I. 2x2 + 23x + 63 =0 II. 4y2 + 19y + 21 = 0

1) Relationship between x and y cannot be established

2) x ≥ y 3) x > y 4) x < y 5) x ≤ y

7. I. 3x2 + 29x + 56 =0 II. 2y2 + 15y +25 = 0

1) x > y 2) x < y

3) Relationship between x and y cannot be established

4) x ≥ y 5) x ≤ y

8. I. 3x2 + 23x + 44 =0 II. 3y2 + 20y + 33 = 0

1) x > y 2) Relationship between x and y cannot be established

3) x < y 4) x ≤ y 5) x ≥ y



9. I. 4x2 + 29x + 45 =0 II. 3y2 - 19y + 28 = 0

1) x < y 2) Relationship between x and y cannot be established

3) x ≥ y 4) x ≤ y 5) x > y

10. I. 2x2 + 13x + 21 =0 II. 5y2 - 22y + 21 = 0

1) Relationship between x and y cannot be established 2) x < y

3) x ≤ y 4) x ≥ y 5) x > y

Directions (11-15): What will come in place of question mark (?) in the given number series?

11. 17 19 25 37 ? 87

1) 63 2) 52 3) 55 4) 67 5) 57

12. 61 82 124 187 ? 376

1) 271 2) 263 3) 257 4) 287 5) 249

13. 23 30 46 80 141 ?

1) 244 2) 212 3) 226 4) 220 5) 238

14. 179 180 172 199 135 ?

1) 236 2) 272 3) 240 4) 256 5) 260

15. 14 6 5 6.5 12 ?

1) 29 2) 27 3) 23 4) 33 5) 35



Directions (16-20): Study the table to answer the given answers.

Data regarding number of candidates appearing for Civil Services (CS) and Engineering

Services (ES) Examination in the years 2007, 2008, 2009 and 2010 in the country XYZ

Year Civil Services Engineering Services

Total

number of

candidates

appeared

Graduates out of the

candidates

appeared

(in %)

Total

number of

candidates

appeared

Graduates out of the total

candidates appeared

(in %)

2007 58 75 30 52

2008 60 60 36 50

2009 70 65 52 40

2010 76 50 40 60

(Note: Figures with regard to the total number of candidates appeared are given in

thousands)

16. The total number of candidates who appeared for CS and ES together in 2011 was 25% more

than the total number of candidates who appeared for the same together in 2010. How many

female candidates appeared for both the exams together in 2011, if they formed 2

5 of the total

number of candidates appearing for both CS and ES that year?

1) 52,000 2) 58,000 3) 60,000 4) 62,000 5) 64,000

17. What is the ratio of the number of graduates who had appeared for ES in 2010 to the

number of graduates who appeared for CS in 2010?

1) 13:21 2) 12:17 3) 12:19 4) 11:17 5) 11:19



18. The total number of graduates who appeared for ES in 2008 is what percent of the total

number of graduates who appeared for CS in the same year?

1) 75 2) 40 3) 55 4) 60 5) 50

19. What is the difference between the average number of candidates who appeared for CS in

the year 2007 and 2008 and the average number of candidates who appeared for ES in the

same years together?

1) 38,400 2) 24,400 3) 26,000 4) 26,400 5) 24,000

20. What is the total number of graduates who appeared for both CS and ES together in the year

2009?

1) 66,300 2) 64,200 3) 60,800 4) 62,800 5) 66,800




1. A, B and C start a small business. A contributes 1/5 of the total capital invested in the

business. B contributes as much as A and C together. Total profit at the end of the year was

Rs 5,200. What was C’s share in the profit?

1) Rs 1510 2) Rs 2510 3) Rs 1560 4) Rs 2560 5) Rs 1500

2. A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he

realized that only 5/9 of the work is complete. How many more men does he need to hire to

complete the project on time?

1) 48 2) 24 3) 32 4) 16 5) 36

3. A took a certain sum as loan from bank at a rate of 8% simple interest per annum. A lends

the same amount to B at 12% simple interest per annum. If at the end of five years, A made a

profit of Rs 800 from the deal, what was the original sum?

1) Rs 6,500 2) Rs 4,000 3) Rs 6,200 4) Rs 6,000 5) Rs 4,500

4. A Wholesaler sells two varieties of tea, one costing Rs 60 per kilo and another costing Rs 105

per kilo. The ratio of quantities they were mixed in was 7:2. If he sold the mixed variety at

Rs 100 per kilo, what was his profit percentage?

1) 34 2/7% 2) 38 2/5% 3) 32 2/5% 4) 42 6/7% 5) 48 6/7%

5. Joe’s present age is 2/7 of his father’s present age. Joe’s brother is 3 years older than Joe’s.

The ratio of the present age of Joe’s father to that of Joe’s brother is 14:5. What is Joe’s

present age?

1) 6 years 2) 15 years 3) 12 years 4) 18 years 5) 20 years



6. In a 90-litre mixture of milk and water, the percentage of water is only 30%. The milkman

gave 18 litres of this mixture to a customer and then added 18 litres of water to the

remaining mixture. What is the percentage of milk in the final mixture?

1) 64% 2) 48% 3) 52% 4) 68% 5) 56%

7. A bag contains 4 red balls, 6 green balls and 5 blue balls. If three balls are picked at random,

what is the probability that two of them are green and one of them is blue?

1) 20/91 2) 10/91 3) 15/91 4) 5/91 5) 25/91

8. A rectangular plot, 55m, long and 45m broad, has two concrete crossroads (of equal width)

running in the middle of it – one parallel to the length and the other parallel to the breadth.

The rest of the plot is used as a lawn. If the area of the lawn is 1911 m2, what is the width of

each of the crossroads? (in m)

1) 5 2) 5.5 3) 6 4) 4 5) 4.5

9. Two stations, A and B, are 827 km apart from each other. One train starts from station A at 5

am and travels towards station B at 67 kmph. Another train starts from station B at 7 am and

travels towards station A at 59 kmph. At what time will they meet?

1) 1 pm 2) 11:45pm 3) 12:30pm 4) 11:30am 5) 1:30 pm

10. Abhay gave 30% of his money to Vijay. Vijay gave 2/3 of what he received to his mother.

Vijay’s mother gave 5/8 of the money she received from Vijay to the grocer. Vijay’s mother is

now left with Rs 600. How much money did Abhay have initially?

1) Rs 6,200 2) Rs 8,000 3) Rs 6,000 4) Rs 8,200 5) Rs 10,200



Directions (11-15): What approximate value will come in place of question mark (?) in the given

question? (You are not expected to calculate the exact value.)

11. 1439 ÷ 16 x 14.99 + √228 = ?

1) 1315 2) 1365 3) 1215 4) 1465 5) 1265

12. (11.92)2 + (16.01)2 = ?2 x (3.85)2

1) 15 2) 2 3) 4 4) 12 5) 5

13. (19.97% of 781) + ? + (30% of 87) = 252

1) 40 2) 50 3) 25 4) 70 5) 80

14. 820.01 ÷ 21 x 2.99 + ? = 240

1) 105 2) 173 3) 123 4) 234 5) 143

15. 299 ÷ 12 x 13.95 + ? = (24.02)2

1) 285 2) 225 3) 325 4) 150 5) 185

16. The breadth of a rectangular floor is half of its length. If Rs 324 is required to paint the floor

at Rs 2 per square metre, then what is the area of the circle whose perimeter is 4 times the

length of the rectangular floor?

1) 512.476m2 2) 412.363 m2 3) 612.068m2

4)712.714m2 5) 312.465m2

17. For five consecutive odd numbers the difference between the product of the first number

and the last number and that of the second and the fourth number is 12. Find the third

number.

1) 5 2) 10 3) 15

4) Cannot be determined 5) None of these



18. A, B and C invested a certain amount in the ratio of 4:5:6. A gets 25% of the profit for

managing. The rest of the profit is divided among A, B and C in the proportion of their

investments. If in a year, A gets Rs 10000 less than B and C, then the total profit in the year is

1) Rs 50000 2) Rs75000 3) Rs100000 4) Rs 150000 5) None of these

Directions (19-20): In each of the questions a question is given below followed by information

in three statements. You have to decide the information in which of the statements is necessary

and sufficient to answer the question and mark your answer accordingly.

19. What is the present age of Soumya?

I. Soumya’s present age is 3/11 of her father’s age at present.

II. Soumya is older than her brother of 6 years.

III. After 6 years Soumya’s age will be one-third of her father’s age that time.

1) All I, II and III 2) Any two of the three 3) Only I and III

4) Only II and III

5) The question can’t be answered even with the given information in all statements

20. What is the cost of milk in a completely filled-up cylindrical tank?

I. The area of the base of the tank is 1386 cm2.

II. The cost of milk per litre is Rs 54.

III. The area of the square with side equal to one-fourth of the tank’s height is 784 cm2.

1) Only I and II 2) Only II and III

3) All I, II and III 4) Only II and either I or III

5) The question can’t be answer even with the given information in all three statements.

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Sbi Po Preliminary Quant 2016