## Data Sufficiency Questions for SBI PO

### Data Sufficiency Questions for SBI PO 2017 Exam

**Each of the following questions consists of3 statements A, B and C. You have to determine that which of the following statement/statements are necessary to answer the questions: (SBI PO Main Exam 2017)**

**1. ** If m and n are integers then is n completely divisible by 10?

A. The value of \(\left( \frac { m } { 10 } + \frac { n } { 10 } \right)\)

B. The value of \(\left( \frac { m } { 7 } + \frac { n } { 10 } \right)\)

C. value of n is greater than m.

(a) Any two of them

(b) A and B together

(c) Any of them

(d) All statements are necessary

(e) Question can’t be answered even after using all the information.

**2.** Quantity I: Area of quadrilateral BFDE, given ABCD is a rectangle having AB = 10 cm & BC =12 cm. **(SBI PO Main Exam 2017) **

Quantity II: 15cm^{2
}Quantity I > Quantity II (b) Quantity I < Quantity II

Quantity I ≥ Quantity II (d) Quantity I < Quantity II

(e) Quantity I ≤ Quantity II or No relation

**3.** A, B and C entered into a partnership. A invested ₹ 3000 at the start. B invested \(33 \frac { 1 } { 3 } \%\) more than that invested by A and C invested the average of the investment made by A and B. After 4 months, A withdrew 40% of his amount, B doubled his amount and C increased his amount by 20%. After another 5 months, B got away from partnership and A doubled his amount while C maintained his amount. Profit at the end of year was ₹ 677000 and profit was shared in the ratio of their investment and time. (**SBI PO Main Exam 2017)
**Quantity I : Profit earned by C.

Quantity II : Average of profit earned by A, B and C together.

Quantity I > Quantity II

Quantity I < Quantity II

Quantity I ≥ Quantity II

Quantity I ≤ Quantity II

Quantity I = Quantity II or No relation

**Each of the following questions consist of 3 statements A,B and C. You have to determine that which of the following statement/statements are necessary to answer the questions: (SBI PO Main Exam 2017)**

**4. **A, B and C entered into a partnership. If the profit earned in the business is proportional to the investment and the period of investment then What is the profit of B if all of them invested the amount for one year and total profit is ₹ x.

A. A invested ₹ 1500 more than that of C.

B. A invested 2 times more than that of B. C invested 3 times more than that of A.

C. B invested 200 percent more than that of A and 100% less than that of C.

(a) Any two of them

(b) Either B or C alone

(c) Any of them

(d) All statements are required

(e) None of these

**5. **6 men and 9 women and 5 children can do a work in 14 days. In how many days can 12 men and 3 women and 5 children do the same work?

A. 20 men and 30 women can do the same work in 5 days.

B. Work done by 2 men is equal to 3 women.

C. 6 children can do two-thirds of the same work in 28 days.

(a) Any one of them

(b) Only C

(c) and either A or B

(d) Any two of them

(e) Only either A or B

**6. **Rajnish buys 30 books and 65 pens. If price of each book is more than price of each pen then what money does he have to pay for this?

A. At a profit of 20% he sells all the objects for ₹ 3828.

B. The CP of one book and one pen is ₹ 90.

C. The difference between sum and difference of buying price of one pen and one book is ₹ 28.

(a) Only A alone or B alone is sufficient

(b) B and C together are sufficient

(c) A alone or B and C together are sufficient

(d) All together are necessary

(e) All even together are not sufficient

**7.** Five men and five women are to be arranged in a row while seating in a party. **(SBI PO Main Exam2017)
**Quantity I: Number of ways of arranging 5 men and 5 women such that no two men or women are adjacent to each other.

Quantity II: Number of ways of arranging 5 men and 5 women such that all men sit together.

(a) Quantity I > Quantity II (b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II (d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**8.** Quantity I**:** Value of ‘a’ if ‘s’ is an acute angle and PR || QT. **(SBI PO Main Exam2017)**

Quantity II: 25°

(a) Quantity I > Quantity II (b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II (d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**9. **There are 63 cards in a box numbered from 1 to 63. Every card is numbered with only 1 number. **(SBI PO Main Exam 2017)
**Quantity I: Probability of picking up a card whose digits, if interchanged, result in a number which is 36 more than the number picked up.

Quantity II: Probability of picking up a card, the number printed on which is a multiple of 8 but not that of 16.

(a) Quantity I > Quantity II (b) Quantity I < Quantity II

(c) Quantity I = Quantity II (d) Quantity I = Quantity II

(e) Quantity I = Quantity II or No relation

**Data Sufficiency Questions for SBI PO 2017 Answers**

**1. **(b) From A —>m + n = 10 × k (let k is an integer value)

From B —> 10m + 7n = 70 × 1 (Let l is an integer value)

From C —> n > m

From A and B

3n = 100k – 70l

3n = 10(10k – 71) : Hence n is divisible by 10. Thus option A and B together are needed to solve the question.

**2.** (a) Area of quadrilateral BFDE = Area of rectangle ABCD – Area of AABE – Area of ADCF

= 120 – 30 – 25 = 65

**3. **(a)

Ratio of Investment of A, B and C

(3000 × 4 + 1800 × 5 + 3600 × 3)

: (4000 × 4 + 8000 × 5)

: (14000 + 33600)

31800 : 56000 : 47600

159 : 280 : 238

Profit of C \(= \frac { 238 } { 677 } \times 6770000\)

=238000

Average of profit earned by (A + B + C) = 225666

**4. **(b) We can get ratio of investment from either statement B alone or C alone so profit of B can be determined from option b

**5. **(d) From A and C we can determine the value ratio of efficiency between men, women and children from A & B we can also determine the value of ratio of men, women and children. We can calculate the answer from B and C.

**6. **(c)

From A : Profit = 20% and

S.P. = 3828.

\(\therefore \quad \text { Total price } = \frac { 3828 \times 100 } { 120 }\)

From C : (x + y) – (x – y) = 28

y = 14

Andx + y= 90 (From B)

x = 76

∴ A alone or B and C together are sufficient.

**7. **(b) Here, For quantity I ➝

First the different no. of ways to arrange 5 men or 5 women = 5!

Now,

_M_M_M_M_M

No. of ways of arranging 5 men and 5 women such that no two women or men sit together = 2 × 5! × 5!

For quantity II ➝

No. of ways of arranging 5 men and 5 women such that all men sit together ➝ 6! × 5!

∵ 2 × 5! × 5! × 6! × 5!

So, Quantity I < Quantity II

**8. **(b) For quantity I ➝

Since S is an acute angle means < 90°

∴ (a + 40) + a < 90

(2a+40) < 90

2a <50

a < 25°

For quantity II ➝ 25°

∴ Quantity I < Quantity II

**9. **(a)

For Quantity I ➝

Let required no. = 10x + y

∴ 10y + x = 10x + y +36

9y – 9x = 36 y – x = 4

∴ unit digit of the no. should be 4 more than the ten’s digit of the number.

∴ such possible numbers from 1 to 63 are = 04, 15, 26, 37, 48, 59

∴ Required probability \(= \frac { 6 } { 63 }\)

For quantity II ➝

Possible numbers from 1 to 63 = 8, 24, 40, 56

Required probability \(= \frac { 4 } { 63 }\)

∴ Quantity I > Quantity II

### Data Sufficiency Questions for SBI PO 2015 Exam

**Each of the questions below consists of a question and two statements numbered I and II give below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and both the statements and –**

Give answer (a) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Give answer (b) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

Give answer (c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.

Give answer (d) if the data even in both the statements I and II together are not sufficient to answer the question.

Give answer (e) if the data in both the statements I and II together are necessary to answer the question. **(SBI PO Main 2015)**

**1. **Train ‘A’ running at a certain speed crosses another train ‘B’ running at a certain speed in the opposite direction in 12 seconds. What is the length of train ‘B’?

(I). The length of both the trains together is 450 metres.

(II). Train ‘A’ is slower than train ‘B’.

**2. **Area of a rectangle is equal to the area of a right angled triangle. What is the length of the rectangle ?

(I). The base of the triangle is 40 cms.

(II). The height of the triangle is 50 cms.

**3. **What was the total compound interest on a sum after three years ?

(I). The interest after one year was 100/- and the sum was 1,000/-.

(II). The difference between simple and compound interest on a sum of 1,000/- at the end of two years was 10/-.

**4.** What is the two digit number where the digit at the unit place is smaller ?

(I). The difference between the two digits is 5.

(II). The sum of the two digits is 7.

**5. **What is the speed of the boat in still water ?

(I). It takes 2 hours to cover distance between A and B downstream.

(II). It takes 4 hours to cover distance between A and B upstreams.

**Data Sufficiency Questions for SBI PO 2015 Answers**

**1.** (d) Let S_{1} and S_{2} be the speed of train A and B respectively

Time taken by both the trains in crossing each other.

\(\frac { 450 } { \mathrm { S } _ { 1 } + \mathrm { S } _ { 2 } } = 12 , \mathrm { S } _ { 1 } + \mathrm { S } _ { 2 } = 37.5\)

S_{1} and S_{2} can have so many values. Both statement I and II are not sufficient to find speed of train B.

**2. **(d) Area of rectangle = Area of triangle.

From the information given in both the statements, we can find area of triangle or area of rectangle. For finding length, breadth is required, which is not known.

**3. **(c) From the statement I.

\(r = \frac { 100 \times 100 } { 1000 } = 10 \%\)

Thus we have,

P = ₹ 1000, r = 10%, t = 3 years

Hence, C.I. can be determined

From the statement II.

\(\mathrm { S } . \mathrm { I } . = \frac { 1000 \times r \times 2 } { 1000 } = 20 \mathrm { r }\)

\(\mathrm { C.L } = 1000 \left[ \left( 1 + \frac { \mathrm { r } } { 100 } \right) ^ { 2 } – 1 \right]\)

∴ C.I – S.I

\(= 1000 \left[ \frac { 200 r + r ^ { 2 } } { 10000 } \right] – 20 \mathrm { r }\)

⇒ 2000r + r^{2} – 200r = 100

⇒ r = 10

**4. **(d)

∴ Number = 10y + x

From statement I,

y – x = 5 —— (i)

From statement II,

y + x = 7 —— (ii)

From (i) and (ii), x, y can be calculated and two digit number can be found.

**5. **(d) Let the distance between A and B be z km.

Again, let speed of boat in still water be x kmph and that of stream be y kmph.

∴ Rate downstream = (x +y) kmph

Rate upstream = (x – y) kmph

From statement I,

\(\frac { z } { x + y } = 2\) —— (i)

From statement II,

\(\frac { z } { x – y } = 4\) —— (ii)

we have two equations and three variables, therefore both equations are not sufficient.

### Data Sufficiency Questions for SBI PO 2011 Exam

**In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly. (SBI Associates PO 2011)**

**1. **What is the rate of interest pcpa?

Statements:

(I). The difference between the compound interest and simple interest earned in two years on the amount invested is ₹ 100

(II). The amount becomes ₹ 19,500 in three years on simple interest.

(III). The simple interest accrued in two years on the same amount at the same rate of interest is ₹ 3,000

(a) Only I and II

(b) Only I and III

(c) Only II and III

(d) Only I and either II or III

(e) None of these

**2.** What is the speed of the train in kmph?

Statements:**
**(I). The train crosses an ‘x’ metre-long platform in ‘n’ seconds.

(II). The length of the train is ‘y’ metres.

(III). The train crosses a signal pole in ‘m’ seconds.

(a) Any two of the three

(b) Only II and III

(c) Only I and III

(d) All I, II and III

(e) Either I and II or II and III

**3. **How many students passed in first class?

Statements:

(I). 85% of the students who appeared in examination have passed either in first class or in second class or in pass class.

(II). 750 students have passed in second class.

(III). The number of students who passed in pass class is 28% of those passed in second class.

(a) All I, II and III

(b) Only I and III

(c) Only II and III

(d) Question cannot be answered even with information in all three statements.

(e) None of these

**4. **What is the amount invested in Scheme ‘B’?

Statements :**
**(I). The amounts invested in Schemes ‘A’ and ‘B’ are in the ratio of 2 : 3.

(II). The amount invested in Scheme ‘A’ is 40% of the total amount invested.

(III). The amount invested in Scheme ‘A’ is ₹ 45,000.

(a) Only I and II

(b) Only I and III

(c) Only II and III

(d) All I, II and III

(e) Only III and either I or II

**5. **What is the cost of flooring a rectangular hall?

Statements :**
**(I). The length of the rectangle is 6 metres.

(II). The breadth of the rectangle is two-thirds of its length. The cost of flooring the area of 100 cm

^{2}is 45.

(a) Only I and III

(b) Only II and III

(c) All I, II and III

(d) Question cannot be answered even with data in all three statements.

(e) None of these

**Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statements and:**

Give answer (a) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Give answer (b) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

Give answer (c) if the data either in statement I alone or in statement II alone in sufficient to answer the question.

Give answer (d) if the data even in both the statements I and II together are not sufficient to answer the question.

Give answer (e) if the data in both the statements I and II together are necessary to answer the question. **(SBI PO 2011)**

**6. **What is the height of a triangle?

(I). It is a right-angled triangle.

(II). The area of the triangle is 5 times its base.

**7. **How much time will Dinesh take to walk a km distance?

(I). The ratio of the speeds at which Dinesh and Ranjay walk is 5 : 6.

(II). The average walking speed of Dinesh and Ranjay is known.

**8. **Is a two-digit integer ‘x’ divisible by 12?

(I). When ‘x’ is divided by 5, the remainder is 2.

(II). When ‘x’ is divided by 3, the remainder is 1.

**9. **Is the average of a, b and c equal to b?

(I). b – a = c – b

(II). a, b and c are positive integers.

**10. **What is the monthly income of Rahim?

(I). Total monthly income of Rahim and Suresh is ‘ 27000, which is 150% of their total monthly expenditure.

(II). The ratio of their monthly expenditures is 5 : 4.

**Data Sufficiency Questions for SBI PO 2011 Answers**

**1. **(b) From statement I,

If the investment amount be ₹ P and rate of interest be R p.c.p.a. then

Difference \(= \frac { \mathrm { PR } ^ { 2 } } { 10000 } = 100\) —— (i)

From statement II,

\(\frac { \mathrm { PR } _ { 1 } \times 3 } { 100 } = 19500 – \mathrm { P }\) —— (ii)

From statement III,

\(\frac { \mathrm { PR } \times 2 } { 100 } = 3000\) —— (iii)

Dividing equation (i) by (iii),

\(\frac { \mathrm { PR } ^ { 2 } } { \mathrm { PR } } = \frac { 1000000 } { 150000 } = \frac { 20 } { 3 }\)

\(\Rightarrow \mathrm { R } = \frac { 20 } { 3 } \mathrm { p } \cdot \mathrm { c } \cdot \mathrm { p } \cdot \mathrm { a }\)

**2.** From statement I and II

Speed of train \(= \frac { \mathrm { x } + \mathrm { y } } { \mathrm { n } } \mathrm { m } / \mathrm { s } = \left( \frac { \mathrm { x } + \mathrm { y } } { \mathrm { n } } \times \frac { 18 } { 5 } \right) \mathrm { km } / \mathrm { h }\)

From statement II and III

Speed of train \(= \frac { \mathrm { y } } { \mathrm { m } } \mathrm { m } / \mathrm { s } = \left( \frac { \mathrm { y } } { \mathrm { m } } \times \frac { 18 } { 5 } \right) \mathrm { km } / \mathrm { h }\)

**3. **(d) Using statement II and III, we can find the number of students in second class and pass class only. As there is no link given between the first class and the other classes, we cannot find the number of students in first class.

**4. **(e) Using Statement I :

\(\frac { \mathrm { A } } { \mathrm { B } } = \frac { 2 } { 3 }\)

Using Statement II :

A is 40% of total. So B is 60% of total amount invested.

\(\frac { A } { B } = \frac { 40 } { 60 } = \frac { 2 } { 3 }\)

Using statement III:

A = 45000

Putting the value of statement III in any of the statements I or II, we can find the amount invested in scheme B.

**5. **(c) Using statement I and II we can find the area of the rectangle and using statement III we can find the cost.

**6. **(e) From statements I and II, since it is a right-angled triangle, area

\(\Rightarrow \frac { 1 } { 2 } \times \mathrm { b } \times \mathrm { h } = 5 \mathrm { b }\) × h = 10

**7. **(e) Combining I & II, we get speed of Dinesh = 10 km/hr

∴ to walk 1 km he takes \(\frac { 60 } { 10 } = 6\) minutes.

**8. **(b) From statement II, we find the negative answer since the number is not divisible by 3 then it can’t be divisible by 12.

**9. **(a)

**10.** (d) Using both the statements, we can find separate expenditures of Rahim and Suresh but can’t find their separate incomes.

** **

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