## Data Sufficiency Question for IBPS RRB

### Data Sufficiency Question for IBPS RRB 2017 Exam

**The following questions are accompanied by three statements (A) or (I), (B) or (D), and (C) or (III). You have to determine which statements) is/are sufficient/ necessary to answer the questions. (IBPS RRB Scale-I Main Exam 2017)**

**1.** The ratio of the ages of Jasim and Abdula is 6 : 11. Find out the ratio of their ages 5 years ago.

A. The difference of their ages is 3 5 years.

B. The difference of their ages after 5 years will be 35 years.

C. The sum of their ages is 119 years.

(a) Only A and C together are sufficient

(b) Anyone of A, B and C is sufficient

(c) Only A and B together are sufficient

(d) Any two of A, B and C are sufficient

(e) All together are necessary

**2.** What is the cost of painting the two adjacent walls of a rectangular hall which has no windows or doors?

I. The area of the base of hall is 124 sq. metres.

II. The breadth, length and the height of the hall are in theratioof3 :4 : 5.

III. Area of one wall is 40 square metres.

(a) Only I

(b) Only II

(c) Only III

(d) Either I or III

(e) Data inadequate

**3.** 8 men and 6 women can complete a piece of work in 42 days. How many days will it take for 12 men and 9 women to complete the same work?

A. 6 men can complete the work in 84 days.

B. 7 women can complete the work in 126 days.

C. The amount of work done by a woman is four-sevenths of the work done by a man in one day.

(a) Any two of them

(b) Any of them

(c) Only C

(d) Either A or B only

(e) No need of any information

**4.** A train crosses another train in 20 sec. Find out the lengths of the trains.

A. Ratio between the lengths the of second train and first train is 4: 5.

B. Ratio between the speed of first and second trains is 1:2.

C. The speed of first train is 3 6 km/hr.

(a) Only A and B together

(b) Only B and C together

(c) Only A and C together

(d) Can’t be answered even after using all the information

(e) None of these

**In each of the given questions, one question and two statements numbered I and II are given. You have to decide whether the data given in both the statements are sufficient to answer the question or not. Read both the statements and give** **answer. (IBPS RRB Scale- 2 & 3 2017Main Exam)**

(a) if the data in statement I alone are sufficient to answer the question, while the data in statement 11 alone are not sufficient to answer the question.

(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.

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

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

(e) if the data in both the statements I and II together are necessary to answer the question.

**5.** By how many years is Rakesh younger than his brother Sunil?

L Ratio between Rakesh’s present age and Sunil’s age after four years is 5 : 7 respectively.

II. Ratio between Rakesh’s age four years ago and Sunil’s present age is 2 : 3 respectively.

**6.** What is the quantity of milk in 80 litres of mixture of milk and water ?

I. If 8 litres of mixture is replaced by equal quantity of water the ratio of milk and water in the mixture becomes 27: 13 respectively.

II. If 16 litres of mixture is replaced by equal quantity of milk, the ratio of milk and water in the mixture becomes 4 : 1 respectively.

**7.** Neeraj invested certain amount in schemes A and B for 2 years in the ratio of 3 : 5 respectively. The schemes A and B offer compound interest compound annually and simple interest respectively. What is the amount invested in scheme A?

I. Rate of interest offered by scheme A is 20% per annum and the rate of interest offered by scheme B is 25% less than that offered by scheme A.

II. Amount of interest accrued from scheme B is more than the amount of interest accrued from scheme A by ₹ 900.

**8.** Two friends X and Y start running towards each other at the same time from points A and B respectively and meet after 135 minutes. At what speed is X running?

I. Point B is 45 km away from point A and speed of X is 150% of the speed of Y.

II. Distance covered by Y was 18 km.

**9.** What is the cost of painting two adjacent walls of a hall having no door or window at ? 450 per m^{2}?

I. Length and breadth are in the ratio of 3 :2 respectively.

II. Perimeter of the hall is 50 m and height is one-fourth of the perimeter.

**Data Sufficiency Question for IBPS RRB 2017 Answers**

**1.** (b)

According to question

Ratio of the ages of Jasim and Abdula = 6 : 11

From (A):

11x – 6x = 35

So, we can find out ratio of their age 5 years ago.

From(B):

(11x + 5) – (6x + 5) = 35

So, We can find out ratio of their age 5 years ago.

From(C):

11x +6x = 119

So, we can also find out ratio of their age 5 years ago.

**2.** (e)

Cost price per unit is not given;

So, Data is not sufficient to answer.

**3.** (e)

According to question.

\(8 M + 6 W = \frac { 1 } { 42 }\)

\(1.5 ( 8 M + 6 W ) = 1.5 \times \frac { 1 } { 42 }\)

\(12 \mathrm { M } + 9 \mathrm { W } = \frac { 1 } { 28 }\)

So, work will be completed in 28 days.

∴ No information is required to answer.

**4.** (d) Direction of movement of the trains are not given.

So, Data is not sufficient to answer.

**5.** (e)

Rakesh’s present age: (Sunil’s present age + 4)

= 5 : 7 ………(i)

Rakesh’s age -4 : Sunil’s present age = 2 : 3 ………..(ii)

\(\frac { \mathrm { R } } { \mathrm { S } + 4 } = \frac { 5 } { 7 }\)

7R = 5S + 20 .

7R – 5S = 20……..(i)

\(\frac { \mathrm { R } – 4 } { \mathrm { S } } = \frac { 2 } { 3 }\)

3R-12 = 2S

3R = 2S+12 ………(ii)

By solving Eqs. (i) and (ii), we get

R=20

and S = 24

∴ Rakesh is 4 years younger than his brother Sunil.

**6.** (c)

By Statement-I

M : W = 27 : 13

So, in 80 litres of mixture contain

\(Quantity\quad of\quad milk\quad =\frac { 27 }{ 40 } \times 80=54litres\)

\(water\quad = \frac { 13 } { 40 } \times 80 = 26\)

By Statement-II

If 16 litres of mixture replaced by equal quantity of milk. Then in new mixture

\(Quantity\quad of\quad milk\quad =\frac { 4 }{ 5 } \times 80=64litres\)

\(Quantity\quad of\quad Water\quad =\frac { 1 }{ 5 } \times 80=16litres\)

Again by statement -1 Before mixing water,

Milk is 54 litres and water is 18 litres

Statement – II

Before mixing milk Milk is 48 litres and water is 16 litres

Ratio of milk of water in mixture, = 3 : 1

\(Quantity\quad of\quad milk\quad =\frac { 3 }{ 4 } \times 80=60litres\)

Concept Ratio of milk to water is always same in the mixture. It doesn’t depend on quantity of mixture drawn.

**7.** (a)

\(\Rightarrow \frac { 5 x \times 15 \times 2 } { 100 } – \left\{ 3 x \left( 1 + \frac { 20 } { 100 } \right) ^ { 2 } – 3 x \right\} – 900\)

\(\Rightarrow \quad \frac { 3 x } { 2 } – \left\{ 3 x \times \frac { 36 } { 25 } – 3 x \right\} = 900\)

\(= \frac { 3 x } { 2 } – \left\{ \frac { 108 x – 75 x } { 25 } \right\} = 900\)

\(\Rightarrow \quad \frac { 75 x – 66 x } { 50 } = 900 \Rightarrow 9 x = 900 \times 50\)

⇒ ∴ x = ₹ 5000

Amount invested in scheme

A = 3 × 5000 = 15000

**8.** (a)

Total time taken = 2h 15 min

Let speed of y be S km/h

Speed of x be 1.5 S km/h

\(Total\quad time\quad taken\quad =\frac { { Totaldistance } }{ { Totalspeed } } \)

\(2 \frac { 1 } { 4 } = \frac { 45 } { 2.5 S } \Rightarrow \frac { 9 } { 4 } = \frac { 45 } { 2.5 \mathrm { S } }\)

\(\Rightarrow \quad \mathrm { S } = \frac { 45 } { 2.5 } \times \frac { 4 } { 9 }\)

∴ Speed of x = 1.5S

\(= 1.5 \times \frac { 45 } { 25 } \times \frac { 4 } { 9 } = 12 \mathrm { km } / \mathrm { h }\)

**9.** (e)

\(Height\quad = 50 \times \frac { 1 } { 4 } = 12.5\)

Perimeter = 2 (3x + 2x) = 50

⇒ x=5

So, area of two any adjacent walls = b × h + l × h = h(l + b)

Total cost of painting on wall = 12.5 × 25 × 450 = ₹ 140625

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