# SBI PO DATA SUFFICIENCY

**Directions data sufficiency : Each question given below is followed by two statements I and II. choose and if the question can be ****answered by using one of the statements alone, but cannot be answered by using the other**

**statement alone.**

**1.choose b if the question can be answered by using either statement alone.**

**2. Choose c If the question can be answered by using both statements together, but cannot be answered by using either statement alone.**

**3.Choose d if the question cannot be answered even by using both the statement together.**

**Ques 1. What is the average of the best and the worst score out of 8 tests taken by a student?**

**I. The average of all 8 tests is 84%.**

**II. After dropping the best and the worst grade, the average of the remaining 6 tests is 86%.**

**Ans 1. By statement, I average of all 8 tests is 84%.**

**By statement II average of 6 tests excluding the best and the worst scorers 86%.**

**Average of the best and the worst score**

**= 1/2 [ 8 x 84 – 6 x 86]%**

**Hence, both statements are needed to answer the question.**

**Ques 2. What is the value of 18x+ 5 ?**

**I. x = 2**

**II. 9x + 5 = 23**

**Ans 2. Both statements I and II can independently answer the question as each of them gives the**

**value of X.**

**Ques 3. What fraction of the student body of a school eats in the canteen?**

**I. Half of the girls in the school eat in the canteen.**

**II. One -third of the boys of the school eat in the canteen.**

**Ans 3. Both the statement is not sufficient to answer the question as we do not know the ratio**

**of the number of boys and the number of girls in the school.**

**Ques 4.What is the distance between city B and city C?**

**I. The distance between city A and city B is 700 km.**

**II. The distance between city A and City C is 900 km.**

**Ans 4. It is not possible to determine the distance between B and C as we do not know the**

**relative positions of A, B, and C.**

**Ques 5. How many restaurants are there in Delhi?**

**I. You make 3 meals a day and every meal is in a restaurant you have not visited before.**

**II. It takes yo 3 years to cover all the restaurants in Delhi.**

**Ans 5. By statement I, restaurants covered in a day =3**

**By statement II, total restaurant**

**= 3 x 365 x 3**

**Thus, both the statement are needed to answer the question.**

**Ques 6. What is the profit on an article ?**

**I. The cost price is Rs 368.35.**

**II. There is 20% profit on the selling price.**

**Ans 6. By statement I, C.P. = Rs 368.35**

**By statement II, profit= 20% of S.P.**

**profit = Rs 20/80 x 368.35**

**It is thus clear that both statements I and II are needed to answer the question.**

**Ques 7.In how many years from now, will the population of villages A today has a become equal ?**

**Ques 7.In how many years from now, will the population of villages A today has a become equal ?**

**I. Village A today has a population of 68000 and is decreasing at a rate of 1200 per year.**

**II. The Village B today has a population of 42000 and is increasing at a rate of 800 per year.**

**Ans 7. Let the required number of years be n.**

**68000 + n(-1200)**

**=42000+ n(800) which gives the value of n.**

**Hence, both the statement I and II are required to answer the question.**

**Ques 8.What is the net effect on gross receipts?**

**I. Prices are reduced by 25 %**

**II. Sales are increased by 20%**

**Ans 8. Let Rs x be the price per unit and let y units be sold at this price.**

**Gross receipts = Rs xy**

**Hence, both the statements are required to answer the question.**

**Ques 9.what is the value of 2P + Q ?**

**I. P/Q = 4/5**

**II. 6P + 3Q = 15**

**Ans 9. Statement I: The required value cannot be obtained.**

**Statement II: 6P + 3Q = 15**

**=> 3( 2P + Q ) = 15**

**=> 2P + Q = 5.**

**Hence, statement II alone answer the question.**

**Ques 10.What is the area of rectangle ABCD?**

**I. The diagonal of rectangle ABCD is 10 cm.**

**II.Its perpendicular sides are 20 cm and 16 cm respectively.**

**Ans 10. Statement I: The area of rectangle ABCD dcannot be known as only the length of the**

**diagonal is known.**

**Statement II: Area of rectangle = 20 X 16 cm2**

**Hence, statement II alone answer the question.**