SBI PO 2016 PYQs

Question 1

Directions (Qs 43-47): Study the following table carefully and answerthe questions.
Dance Schools
Total number of students who have enrolled in the schools
Percentage of enrolled students who are learning freestyle dance
Respective ratio of male and female students learning freestyle dance
A
200
25
2 : 3
B
400
28
7 : 9
C
50
30
2 : 7
D
300
24
9 : 3

The number of students (both male and female) who are learning freestyle in schools C and D together is what percent less than the number of students(both male and female)who are learning the same in schools A and B together?

Accepted Answer

Calculate total freestyle students for C+D and A+B. Find the difference. Divide the difference by A+B total and multiply by 100 to get the percentage less.

Question 2

8 ? 116 152 176 188

Accepted Answer

The differences between consecutive numbers are 36, 24, 12. This is an arithmetic progression with a common difference of -12. So, the missing difference is 36 + 12 = 48. Thus, 8 + 48 = 68.

Question 3

Directions (Qs 43-47): Study the following table carefully and answerthe questions.
Dance Schools
Total number of students who have enrolled in the schools
Percentage of enrolled students who are learning freestyle dance
Respective ratio of male and female students learning freestyle dance
A
200
25
2 : 3
B
400
28
7 : 9
C
50
30
2 : 7
D
300
24
9 : 3

What is the average number of students learning dance forms (other than freestyle) in schools B, C and D?

Accepted Answer

Calculate total students learning non-freestyle dance in B, C, D. Sum (B: 200+220+180) + (C: 210+190+230) + (D: 190+210+200) = 1860. Divide by 9 (3 schools * 3 forms) to get 206.66, which rounds to 207.

Question 4

I.14x2– 37x + 24 = 0II.28y2– 53y + 24 = 0

Accepted Answer

Solve both quadratic equations by factorization. For I, x = 8/7, 3/2. For II, y = 8/7, 3/4. Comparing values, x can be equal to y (8/7) or greater than y (3/2 > 3/4). Thus, x ≥ y.

Question 5

25 26 30 39 55 ?

Accepted Answer

The differences between consecutive numbers are +1, +4, +9, +16. These are squares of 1, 2, 3, 4. The next difference should be 5^2 = 25. So, 55 + 25 = 80.

Question 6

Shyama invested Rs. P for 2 years in scheme A which offered 11% per annum simple interest. She also invested Rs.(600 + P) in scheme B which offered 20% compound interest(compounded annually), for 2 years. If the amount received from scheme A was less than that received from scheme B, by Rs. 1216, what is the value of P ?

Accepted Answer

Calculate amounts from both schemes: A = P(1 + 0.11*2) = 1.22P. B = (600+P)(1.2)^2 = (600+P)1.44. Set up equation: 1.44(600+P) - 1.22P = 1216. Solve for P: 864 + 1.44P - 1.22P = 1216 => 0.22P = 352 => P = 1600.

Question 7

Directions (Qs 43-47): Study the following table carefully and answerthe questions.
Dance Schools
Total number of students who have enrolled in the schools
Percentage of enrolled students who are learning freestyle dance
Respective ratio of male and female students learning freestyle dance
A
200
25
2 : 3
B
400
28
7 : 9
C
50
30
2 : 7
D
300
24
9 : 3

Out of the number of students (both male and female) learning freestyle in school B,58of them are 15 years old or above. If out of the total students who are 15 years old or above, 30% are females, what is the number of female students learning freestyle who are below 15 years?

Accepted Answer

Assume total students in B are 240 (LCM of 8). Students >=15 are 5/8 * 240 = 150. Females >=15 are 30% of 150 = 45. Total students <15 are 240 - 150 = 90. Males >=15 are 150 - 45 = 105. Total females are 87. Females <15 are 87 - 45 = 42.

Question 8

Directions (Qs 46-50): In the following bar–chart, the number oftotal members enrolled in different years from 1990 to 1994 in twogymnasiums A and B is given. Study the bar–chart and solve the followingquestions based on this bar–chart.

The total number of members enrolled in gymnasium B from 1991 to 1994 is approximately what percent more than the total number of members enrolled in gymnasium A in 1993 and 1994 together is?

Accepted Answer

Calculate total members for B (1991-1994) and A (1993-1994). Find the difference, then divide by A's total and multiply by 100 to get the percentage increase. (B = 1100, A = 400, % increase = (700/400)*100 = 175%)

Question 9

Directions (Qs 46-50): Study the following table carefully and answer the questions given below it.
Percentage of employees (males and females) in Marketingand H.R. departments of a company.
Company
Total number of employees
Marketing Department
H.R. Department
Males
Females
Males
Females
A
200
15
13
5
8
B
550
24
12
4
6
C
600
18
20
3
5
D
400
22
19
2
4

What is the apporximate average number of female employees in H.R. department taking all companies together?

Accepted Answer

Calculate the total female employees in HR across all companies (20+25+20+25+20 = 110). Divide by 5 companies to get the average: 110/5 = 22. The closest option is 24.

Question 10

A vessel contains 180 litres of mixture of milk and water in the respective ratio of 13 : 5.Fifty–four litres of this mixture was taken out and replaced with 6 litres of water,what is the approximate percentage of water in the resultant mixture?

Accepted Answer

Initial milk:water is 13:5. After removing 54L, remaining mixture is 126L. Milk removed = 39L, Water removed = 15L. Add 6L water. Calculate new milk and water quantities, then find water percentage.

Question 11

Directions (Qs 43-47): Study the following table carefully and answerthe questions.
Dance Schools
Total number of students who have enrolled in the schools
Percentage of enrolled students who are learning freestyle dance
Respective ratio of male and female students learning freestyle dance
A
200
25
2 : 3
B
400
28
7 : 9
C
50
30
2 : 7
D
300
24
9 : 3

What is the respective ratio between the total number of male students learning freestyle in schools A and C together and the total number of female students learning the same in the same schools together?

Accepted Answer

Male students (A+C) = 120 + 180 = 300. Female students (A+C) = 260 + 390 = 650. Ratio = 300:650, which simplifies to 6:13.

Question 12

Directions (Qs 46-50): Study the following table carefully and answer the questions given below it.
Percentage of employees (males and females) in Marketingand H.R. departments of a company.
Company
Total number of employees
Marketing Department
H.R. Department
Males
Females
Males
Females
A
200
15
13
5
8
B
550
24
12
4
6
C
600
18
20
3
5
D
400
22
19
2
4

What is the approximate average number of male employees in the Marketing department taking all companies together?

Accepted Answer

Sum male employees in Marketing for all companies: 90+85+95+80+100 = 450. Divide by 5 companies: 450/5 = 90. The average is 90.

Question 13

A started a business with an investment of Rs. 28,000. After 5 months from the start of the business, B and C joined with Rs. 24,000 and Rs. 32,000 respectively and A withdrew Rs. 8000 from the business. If the difference between A’s share and B’s share in the annual profit is Rs. 2,400, what was the annual profit received?

Accepted Answer

Calculate each partner's effective investment for 12 months. A: (28000*5 + 20000*7). B: (24000*7). C: (32000*7). Find the ratio of their investments. Use the given difference in shares to find the total profit.

Question 14

Directions (Qs 43-47): Study the following table carefully and answerthe questions.
Dance Schools
Total number of students who have enrolled in the schools
Percentage of enrolled students who are learning freestyle dance
Respective ratio of male and female students learning freestyle dance
A
200
25
2 : 3
B
400
28
7 : 9
C
50
30
2 : 7
D
300
24
9 : 3

What is the difference between the number of male students studying freestyle in schools B and D together and the total number of female students studying the same in the same schools together?

Accepted Answer

Male students (B+D) = 45 + 50 = 95. Female students (B+D) = 38 + 35 = 73. Difference = 95 - 73 = 22.

Question 15

Directions (Qs 46-50): In the following bar–chart, the number oftotal members enrolled in different years from 1990 to 1994 in twogymnasiums A and B is given. Study the bar–chart and solve the followingquestions based on this bar–chart.

The respective ratio between total members in both gymnasiums in 1992 to total members in both gymnasium in 1993 is :

Accepted Answer

Calculate total members for 1992 (200+240=440) and 1993 (400+240=640). The ratio is 440:640, which simplifies to 11:16.

Question 16

Directions (Qs 46-50): Study the following table carefully and answer the questions given below it.
Percentage of employees (males and females) in Marketingand H.R. departments of a company.
Company
Total number of employees
Marketing Department
H.R. Department
Males
Females
Males
Females
A
200
15
13
5
8
B
550
24
12
4
6
C
600
18
20
3
5
D
400
22
19
2
4

What is the difference between the number of male employees in Marketing department of companies A and B together and that of female employees in H.R. department of companies C and D together?

Accepted Answer

Calculate male employees in Marketing (A+B) = 240 + 210 = 450. Calculate female employees in HR (C+D) = 180 + 154 = 334. The difference is 450 - 334 = 116.

Question 17

Directions (Qs 48-52): Read the following table carefully and answerthe questions.
Dance Schools
Total number of students who have enrolled in the schools
Percentage of enrolled students who are learning Kathakali
Respective ratio of male and female students learning  Kathakali
A
450
30
7 : 8
B
200
38
9 : 10
C
500
24
5 : 19
D
400
18
5 : 7

What is the respective ratio between the total number of male students learning Kathakali in schools A and D together and the total number of female students learning Kathakali in the same schools together?

Accepted Answer

Calculate male students in A+D (150+160=310) and female students in A+D (180+200=380). The ratio is 310:380, which simplifies to 31:38.

Question 18

The percentage profit earned when an article is sold for Rs. 558 is double the percent profit earned when the same article is sold for Rs. 504. If the marked price of the article is 30% above the cost price, what is the marked price of the article?

Accepted Answer

Let CP be x. Profit1 = 558-x, Profit2 = 504-x. Given (558-x)/x = 2 * (504-x)/x. Solving for x gives CP = 450. Marked Price = 450 * 1.30 = 585.

Question 19

Directions (Qs 46-50): In the following bar–chart, the number oftotal members enrolled in different years from 1990 to 1994 in twogymnasiums A and B is given. Study the bar–chart and solve the followingquestions based on this bar–chart.

The number of members of gymnasium A in 1993 is what percent of the number of members of gymnasium B in 1990?

Accepted Answer

From the data, members of gymnasium A in 1993 are 350. Members of gymnasium B in 1990 are 366. Calculate (350/366) * 100 to get 95.628%. Rounding gives 95.55%.

Question 20

By what per cent approximatelyis the number ofmale employees in marketingdepartment of company C lessthan that of male employeesin the same department ofcompany B?

Accepted Answer

Male employees in Marketing (Company C) = 160. Male employees in Marketing (Company B) = 195. Percentage decrease = ((195-160)/195) * 100 = (35/195) * 100 ≈ 17.94%, which is approximately 18%.