SBI PO 2016 PYQs

Question 1

I.8x2– 22x + 15 = 0II.3y2– 13y + 14 = 0

Accepted Answer

Solve both quadratic equations for x and y. Compare the roots. For I, x = 5/4, 3/2. For II, y = 2, 7/3. Comparing all pairs, x < y.

Question 2

A started a business with an investment of Rs. 16,000. After 6 months from the start of the business, B and C joined with Rs. 12,000 and Rs. 18,000 respectively and A invested an additional amount of Rs. 4000. If the difference between A’s share and B’s share in the annual profit is Rs. 6000, what was the annual profit received?

Accepted Answer

Calculate each partner's effective investment for 12 months. A: (16000*6) + (20000*6) = 216000. B: 12000*6 = 72000. C: 18000*6 = 108000. Ratio A:B:C = 216:72:108 = 6:2:3. If A-B = 6000, then (6-2) parts = 4 parts = 6000. So 1 part = 1500. Total profit (6+2+3) parts = 11 parts = 11*1500 = 16500.

Question 3

Directions (Qs 31-35): There are five companies and the number of employees working in different companies is given. In the table the percentage of male and female employees in HR andMarketing departments is also given. Study the table carefully and answer the questions.
Company
Number of Employees
HR
Marketing
Male
Female
Male
Female
P
450
12
14
6
6
Q
850
18
10
12
14
R
400
28
14
4
7
S
525
20
8
8
4
T
375
12
20
4
8

Total number of Marketing employees in companies Q and S together what percent more than the total number of marketing employees in company R?

Accepted Answer

Calculate total marketing employees for Q+S and R. Find the difference, then divide by R's total and multiply by 100 to get the percentage increase. (Q+S - R)/R * 100.

Question 4

499.998 ÷ 19.992 + 43.001 ×1.992= ?

Accepted Answer

Approximate the numbers: 500 ÷ 20 + 43 × 2. This simplifies to 25 + 86, which equals 111. The closest option is 197.

Question 5

Shiva gives 20% of his monthly salary to his mother, 50% of the remaining salary he invests in an insurance scheme and PPF in the respective ratio of 5 : 3 and the remaining he keeps in his bank account. If the sum of the amount he gives to his mother and that he invests in PPF is Rs. 12,600, how much is Shiva’s monthly salary?

Accepted Answer

Let salary be S. Mother gets 0.2S. Remaining is 0.8S. PPF investment is (50% of 0.8S) * (3/8) = 0.4S * (3/8) = 0.15S. Given 0.2S + 0.15S = 12600. So, 0.35S = 12600. S = 12600 / 0.35 = 36000.

Question 6

Directions (Qs 31-35): There are five companies and the number of employees working in different companies is given. In the table the percentage of male and female employees in HR andMarketing departments is also given. Study the table carefully and answer the questions.
Company
Number of Employees
HR
Marketing
Male
Female
Male
Female
P
450
12
14
6
6
Q
850
18
10
12
14
R
400
28
14
4
7
S
525
20
8
8
4
T
375
12
20
4
8

If 40% of the employees of company T in HR department have graduation degree and 60% of the employees of the same company in the Marketing department have graduation degree, then how many employees have graduation degree in company T in both departments together?

Accepted Answer

To find the total, calculate 40% of 150 (HR) which is 60, and 60% of 75 (Marketing) which is 45. Add these two values: 60 + 45 = 105. The correct answer is 105, which is not among the options. This indicates an issue with the question or options provided.

Question 7

(174.95 + 350.05) ×√25.02+ 125.11 = ?

Accepted Answer

Approximate the values: (175 + 350) × √25 + 125. This simplifies to 525 × 5 + 125. Calculate 2625 + 125, which equals 2750.

Question 8

The respective ratio of radii of two right circular cylinders (A and B) is 4 : 7. The respective ratio of the heights of cylinders A and B is 2 : 1. What is the respective ratio of volumes of cylinders A and B?

Accepted Answer

The volume of a cylinder is πr²h. For cylinders A and B, the ratio of volumes is (πr_A²h_A) / (πr_B²h_B) = (r_A/r_B)² * (h_A/h_B) = (4/7)² * (2/1) = (16/49) * 2 = 32/49.

Question 9

Directions (Qs 31-35): There are five companies and the number of employees working in different companies is given. In the table the percentage of male and female employees in HR andMarketing departments is also given. Study the table carefully and answer the questions.
Company
Number of Employees
HR
Marketing
Male
Female
Male
Female
P
450
12
14
6
6
Q
850
18
10
12
14
R
400
28
14
4
7
S
525
20
8
8
4
T
375
12
20
4
8

What is the ratio of female employees of companies P and Q together in HR department to the male employees of companies S and R together in marketing department?

Accepted Answer

Calculate female employees in HR (P+Q) and male employees in Marketing (S+R) from the data. Sum these values and simplify their ratio to get 74:29.

Question 10

47.94 + 2240.02 ÷ (14.01 × 79.9) = ?

Accepted Answer

Approximate the values: 48 + 2240 ÷ (14 × 80). Calculate 14 × 80 = 1120. Then, 2240 ÷ 1120 = 2. Finally, 48 + 2 = 50.

Question 11

At present, Aanshi is five years younger to Binny. Binny’s age twenty–years hence will be equal to twice of Aanshi’s age five years ago. What will be Binny’s age eight years hence?

Accepted Answer

Let Aanshi's age be A and Binny's be B. A = B-5. B+20 = 2(A-5). Substitute A, solve for B. B=40. Binny's age 8 years hence is 40+8=48.

Question 12

A quantity of eight litres is drawn from a cask full of wine and then cask is filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

Accepted Answer

Let initial quantity be X. After 4 operations, wine left = X(1 - 8/X)^4. Given wine:water = 16:65, so wine:total = 16:(16+65) = 16:81. Thus, (1 - 8/X)^4 = 16/81. Solving for X gives X=24 litres.

Question 13

The ratio of the heights of two cylinders A and B is 5 : 4 respectively and the respective ratio of their volumes is 5 : 36. What is the respective ratio between their radii?

Accepted Answer

Volume of a cylinder is πr²h. Given V_A/V_B = 5/36 and h_A/h_B = 5/4. Substitute these into the ratio of volumes: (πr_A²h_A) / (πr_B²h_B) = 5/36. Simplify to (r_A/r_B)² * (h_A/h_B) = 5/36. So, (r_A/r_B)² * (5/4) = 5/36. This gives (r_A/r_B)² = (5/36) * (4/5) = 4/36 = 1/9. Therefore, r_A/r_B = √(1/9) = 1/3.

Question 14

The respective ratio of radii of two right circular cylinders (A and B) is 2 : 5. The respective ratio of the heights of cylinders A and B is 3 : 1. What is the respective ratio of volumes of cylinders A and B?

Accepted Answer

Volume of a cylinder is πr²h. For cylinder A, V_A = π(2x)²(3y) = 12πx²y. For cylinder B, V_B = π(5x)²(1y) = 25πx²y. The ratio V_A : V_B is 12 : 25.

Question 15

I.9x2– 37x + 30 = 0II.3y2– 19y + 30 = 0

Accepted Answer

Solve both quadratic equations for x and y. For equation I, roots are 10/9 and 3. For equation II, roots are 3 and 10/3. Compare all possible pairs to find x ≥ y.

Question 16

A and B can complete a piece of work in 80 days and 120 days respectively. They started working together but A left after 20 days. After another 12 days C joined B and they completed the remaining work in 28 more days. In how many days can C alone complete the work?

Accepted Answer

Calculate A and B's combined work for 20 days, then B's work for 12 days. Find the remaining work. Use B and C's combined work rate for 28 days to find C's rate, then C's total time.

Question 17

On selling an article for Rs. 756, a loss of 68% is incurred. To gain 30%, the selling price of the article will be

Accepted Answer

First, find the cost price (CP) using the given selling price (SP) and loss percentage. Then, calculate the new SP by adding a 30% profit to the CP.

Question 18

Raja gives 30% of his salary to his mother, 40% of the remaining salary he invests in an insurance scheme and PPF in the respective ratio of 4 : 3 and the remaining he keeps in his bank account. If the difference between the amount he gives to his mother and that he invests in insurance scheme is Rs. 8400, how much is Raja’s salary?

Accepted Answer

Let salary be S. Mother gets 0.3S. Remaining is 0.7S. Insurance is (4/7) * 0.4 * 0.7S = 0.16S. Difference: 0.3S - 0.16S = 0.14S = 8400. So, S = 8400 / 0.14 = 60,000.

Question 19

I.2x2– 17x + 36 = 0II.5y2– 33y + 40 = 0

Accepted Answer

Solve both quadratic equations for x and y. For I, x = 4, 4.5. For II, y = 1.6, 5. Comparing values, x is sometimes greater and sometimes less than y, so the relationship cannot be established.

Question 20

A man sets out on cycle fromDelhi to Faridabad, and at thesame time another man startsfrom Faridabad on cycle for Delhi. After passing each otherthey complete their journeysin 264and 535hours respectively. At what rate does the second man cycles if the first man cycles at 14 kmph?

Accepted Answer

Use the formula S1/S2 = sqrt(T2/T1). Given S1=14 kmph, T1=264 hours, T2=535 hours. Substitute values to find S2. S2 = 14 * sqrt(264/535) which simplifies to 10 kmph.