# Data sufficiency

1. What is marked price of the product?

Statement I: After giving the 10% discount on mark price the shopkeeper make a profit of 26% by selling the item. Ratio of cost price and mark price is 5 : 7.

Statement II: Difference of mark price and cost price is 40. Difference of selling price and marked price is 14. Marked price is 40% of the cost price.

A) Only Statement I alone.    B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.    E) Either Statement I or II.

Solution: From Statement I we can calculate the marked price. From Statement II we can calculate the marked price. Either Statement I or II is sufficient.

Ans: D

2. How many tiles is needed to fit tiles in the rectangular floor of a room?

Statement I: Ratio of length and breadth of the room is 9 : 5 and perimeter of the floor is 140 m.

Statement II: Price of 100 tiles is Rs.500.And total expenditure to fit the floor is Rs.12000.

A) Only Statement I alone.    B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.     E) Either Statement I or II.

Solution: From both statements we can not calculate the area of each tiles so we cannot calculate the numbers of tiles required.

Ans: D

Statement I: Braslet is made with 269.5 sqm metel.

Statement II: Length of outer diameter is 28 m.

A) Only Statement I alone.     B) Only Statement II alone.     C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.     E) Either Statement I or II.

Solution: To calculate the inner radius we have to use both Statements I and II.

Ans: C

4. Find the length of the train P?

Statement I: The train P cross the train Q in 6 sec when train Q is not moving. Train Q cross train R in 68 sec when both are moving same direction, speed of train R is 25m/sec.

Statement II: Train P cross train R in 64 sec when both are moving same direction. Length of train Q is 140m.

A) Only Statement I alone.   B) Only Statement II alone.   C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.   E) Either Statement I or II.

Solution: From two statements we can not calculate the length of train R, speed of train Q so we cannot able to know the length of train.Because lots unknown value

Ans: D

5. How many days A, B and C can complete the work together?

Statement I: Ratio of efficiency of A and B is 2 : 1. B and C can complete the work in 12 days.

Statement II: Ratio of efficiency of A and C   is 3 : 1. C can alone complete the work in 30 days.

A) Only Statement I alone.    B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.    E) Either Statement I or II.

Solution: From both statements we can calculate the efficiency of A, B and C. And from

statements II we know the days of C to complete the work. From that we can easily calculate total days to complete the work by A, B and C.

Ans: C

6. Is A is an even number?

Statement I: 6A + 3B is even number.

Statement II: 3A + 6B is even number.

A) Only Statement I alone.      B) Only Statement II alone.   C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.   E) Either Statement I or II.

Solution: From Statement I we cannot say about A is even or not, because we don’t know B is even or not. But Statement II we can say A is even because 6B is always even and 3A have to be even.

Ans: B

7. Find the present age of B?

Statement I: Age ‘A’ 2years ago equal to the age of ‘C’ 4 years ago. Age of C is average age of A and B.

Statement II: Ratio of present age of B andm age of C after 2 years is 1 : 1. A is 2 years younger than C.

A) Only Statement I alone.    B) Only Statement II alone.     C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.   E) Either Statement I or II.

Solution: From both Statements I and II we cannot calculate the exact age of any one. So we cannot calculate the age of B.

Ans: D

8. There is three numbers - first, second and third. What is the 45% of first number?

Statement I: 6/11 of the first number is equal to the 22% of second number. Second number is equal to the 1/4th of third number.

Statement II: First number is 92 more than the 1/4th of the second number. Difference of first and second number is 458.

A) Only Statement I alone.  B) Only Statement II alone.     C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.    E) Either Statement I or II.

Solution: From Statement I we can’t calculate the first number but from Statement II we can calculate the first number from the relation between first and second number.

Ans: B

9. In a company there are two type of employee either 25 year or more than 25 year. Find how many male are 25 year old?

Statement I: There is 45% male employee in the company. Out of the total female employee 60% is 25 years age.

Statement II: Total employee of the company is 4800. Out of that 40% is above 25 years  age.

A) Only Statement I alone.    B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.    E) Either Statement I or II.

Solution: Statement I we calculate the total male employee and total female employee who are 25 years age in form of percentage. And with the help Statement II we can calculate the exact value.

Ans: C

10. Find the rate of interest?

Statement I: The simple interest accrued of Rs.22,500 at the end of four years is Rs.10,800.

Statement II: The compound interest  accrued on the Rs.22,500 at certain time at  certain rate is Rs.5724

A) Only Statement I alone.   B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.   E) Either Statement I or II.

Solution: From statement I we calculate the rate because we know the principle, time and interest, but Statement II we don’t know the time so we can not calculate the the rate.

Ans: A

11. What was annual income of M?

Statement I: R’s monthly income is three times V’s monthly income. V’s monthly income is 15% more than C’s monthly income. C’s monthly income is Rs.32000.

Statement II: V’s monthly income is Rs.4800 more than the monthly income of C’s. Total income of V and C is Rs.68800. V’s monthly income is 1/3rd of M’s monthly income.

A) Only Statement I alone.    B) Only Statement II alone.  C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.     E) Either Statement I or II.

Solution: From Statement I we can calculate the monthly income of C, V and R but we don’t know about the monthly income of M but with help of Statement II we can calculate monthly income of M and from that annual income.

Ans: C

12. What are max. marks of the examination?

Statement I: Average marks of three students is 643. First student get 56%, second student gets 634 marks.

Statement II: Third student gets 92% marks   in the exam which is 171 marks less than   Second student. Second student gets 144   more marks than First student.

A) Only Statement I alone.    B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.    E) Either Statement I or II.

Solution: From each Statement I or II we can’t calculate the maximum marks because we don’t know the any one percentage and marks both. But with both Statements I and II we get marks and percentage of third student, from that we can calculate the maximum marks.

Ans: C

13. What is the present age of D?

Statement I: Ratio between present age of M and D is 5 : 13. M is 9 year younger than P.

Statement II: P’s age after 9 years will be 33 years. The difference between D’s age and M’s age is same as the present age of P.

A) Only Statement I alone.   B) Only Statement II alone.   C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.     E) Either Statement I or II.

Solution: To calculate the age of D we need to both statements.

Ans: C

14. What is the perimeter of the rectangle?

Statement I: Area of the rectangle is seventh fourth area of square whose side is 7 more than the breadth of Rectangle .

Statement II: Breadth of rectangle equal to the radius of circle whose perimeter is 176 cm and ratio of length and breadth of rectangle is 9 : 7.

A) Only Statement I alone.     B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficie     E) Either Statement I or II.

Solution: From Statement II we can calculate the length and breadth of rectangle and from that perimeter can easily calculate.

Ans: B

15. If taps A, B and C are open simultaneously, how long will it take to fill the tank completely where C is out let pipe?

Statement I: When pipe A and B is open together the tank fill in 2.4 hr.

Statement II: When pipe C is open it can empty the full tank in 3 hr.

A) Only Statement I alone.   B) Only Statement II alone.    C) Both Statements I and II together.

D) Neither Statement I nor II is sufficient.  E) Either Statement I or II.

Solution: Each Statements I or II we can get the answer but if we use both Statement I and II then we can calculate the answer

Ans: C

Posted Date : 23-05-2023

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.