Directions (1-3): 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:

Q1. The cost of three pencils, four erasers and five paperweights is Rs 28. What is the cost of an eraser?

A. The cost of a paperweight is 25 paisa less than that of the pencil and eraser together.

B. The cost of ten paperweights and 8 erasers is Rs 42.50.

C. The cost price of a pencil is 80% more than that of an eraser.

Any two of them

Either B alone or A and C together

Any of them

Either C alone or A alone

None of these

Q2. X² : y²= ?

A. The sum of the sum of these two quantities and their difference is 12 whereas the difference of the sum of these two quantities and their difference is 6. (x>y)

B. y is 50% less than x.

C.

Only A and B are sufficient

Any two of A, B and C are sufficient

Any one of A, B and C is sufficient

Only B and C are sufficient

All together are sufficient

Q3. What is the cost price of the book?

A. After allowing a discount of 18% on printed price shopkeeper charges Rs 516.60 for it.

B. If he had not allowed any discount, he would have a profit of 25%.

C. If he had allowed only 10% discount on printed price then he would have 12.5% profit.

Any two of them

Either A and B or C

Any one of them

All together is required

A and either B or C

Q4. What is the cost of painting the two adjacent walls of a hall which has no windows or doors?

I. The area of the base of hall is 24 sq. metres.

II. The breadth, length and the height of the hall are in the ratio of 4: 6: 5.

III. Area of one wall is 30 square metres.

Only I

Only II

Only III

Data inadequate

Either I or III

Q5. 4 boys and 3 girls can complete a piece of work in 21/2 days. How many days will it take for 8 boys and 6 girls to complete the same work?

A. 4 boys can complete the work in 28 days.

B. 7 girls can complete the work in 63 days.

C. The amount of work done by a girl is foursevenths of the work done by a boy in one day.

Any two of them

Any of them

Only C

Either A or B only

No need of any information

Q6. What is the salary of P, in a group of P, Q, R, S, T and U, whose average salary is Rs. 35,000?

A. Total of the salary of Q and S is Rs. 54000.

B. Total of the salary of T and U is Rs. 58000.

A and B together

Answer can not be determined even using both statements

Only B

Either A or B only

No need of any information

Q7. What is the rate p.c.p.a. on an amount of Rs. 6,000 deposited in a Bank?

A. The simple interest for four years is Rs. 3600.

B. The difference between the simple interest and compound interest is Rs. 894.0375.

Only A

Any of them

Only B

Either A or B only

No need of any information

Q8. What is the number?

A. 20% of that number is one fifth of that number.

B. 5/6th of that number is less than that number by 15.

A and B together

Any of them

Only B

Either A or B only

No need of any information

Directions (9-13): Each of the questions consists of a question followed by three statements. You have to study the questions and the statements and decide which of the statements(s) is/are necessary to answer the question.

Q9. What is the area of the hall?

I. Material cost of flooring per sq metre is Rs. 250

II. labour cost of flooring the hall is Rs. 3,500

III. Total cost of flooring the hall is Rs. 14,500

I and II only

II and III only

All I, II and III

Any two of the three

III and I only

Q10. What was the percentage of discount offered?

I. Profit earned by selling the article for Rs. 252 after giving discount was Rs. 52.

II. Had there been no discount the profit earned would have been Rs. 80

III. Had there been no discount the profit earned would have been 40%.

I and II only

II and either I or III only

I and III only

I and either II or III only

None of these

Q11. What is the speed of the train?

I. The train crosses a signal pole in 13 sec.

II. The train crosses a platform of length 250 m in 27 seconds.

III. The train crosses another train running in the same direction in 32 seconds.

I and II only

I and III only

II and III only

Any two of the three

None of these

Q12. What is the population of State ‘A’?

I. After increasing the population of State A by 15% it becomes 1.61 lakhs

II. Ratio of population of State A to that of State B is 7 : 8 respectively

III. Population of State B is 1.6 lakhs

I only

II and III only

I and II only

Either only I or II and III

All I, II and III

Q13. How many workers are required for completing the construction work in 10 days?

I. 20% of the work can be completed by 8 workers in 8 days

II. 20 workers can complete the work in 16 days

III. One eighth of the work can be completed by 8 workers in 5 days

I and II only

II and III only

I only

III only

Any one of three

Q14. Find the height of an equilateral triangle.

A. Perimeter of the triangle is equal to the perimeter of the rectangle whose length and breadth are in the ratio of 5 :3.

B. Perimeter of a square is known, which is twice the perimeter of the triangle.

C. Area of the triangle is known.

Only A

Any of them

Only C

Either B or C alone

A and either B or C

Q15. A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

All are required

Any one pair of A and B, B and C or C and A is sufficient.

Only A and B

Only A and C

None of these

SOLUTIONS

1.A

2.C

3.E

4.D

5.E

6.B

7.A

8.C

9.C

10.D

11.A

12.D

13.E

14.E

15.B

Q1. The cost of three pencils, four erasers and five paperweights is Rs 28. What is the cost of an eraser?

A. The cost of a paperweight is 25 paisa less than that of the pencil and eraser together.

B. The cost of ten paperweights and 8 erasers is Rs 42.50.

C. The cost price of a pencil is 80% more than that of an eraser.

Any two of them

Either B alone or A and C together

Any of them

Either C alone or A alone

None of these

Q2. X² : y²= ?

A. The sum of the sum of these two quantities and their difference is 12 whereas the difference of the sum of these two quantities and their difference is 6. (x>y)

B. y is 50% less than x.

C.

Only A and B are sufficient

Any two of A, B and C are sufficient

Any one of A, B and C is sufficient

Only B and C are sufficient

All together are sufficient

Q3. What is the cost price of the book?

A. After allowing a discount of 18% on printed price shopkeeper charges Rs 516.60 for it.

B. If he had not allowed any discount, he would have a profit of 25%.

C. If he had allowed only 10% discount on printed price then he would have 12.5% profit.

Any two of them

Either A and B or C

Any one of them

All together is required

A and either B or C

Q4. What is the cost of painting the two adjacent walls of a hall which has no windows or doors?

I. The area of the base of hall is 24 sq. metres.

II. The breadth, length and the height of the hall are in the ratio of 4: 6: 5.

III. Area of one wall is 30 square metres.

Only I

Only II

Only III

Data inadequate

Either I or III

Q5. 4 boys and 3 girls can complete a piece of work in 21/2 days. How many days will it take for 8 boys and 6 girls to complete the same work?

A. 4 boys can complete the work in 28 days.

B. 7 girls can complete the work in 63 days.

C. The amount of work done by a girl is foursevenths of the work done by a boy in one day.

Any two of them

Any of them

Only C

Either A or B only

No need of any information

Q6. What is the salary of P, in a group of P, Q, R, S, T and U, whose average salary is Rs. 35,000?

A. Total of the salary of Q and S is Rs. 54000.

B. Total of the salary of T and U is Rs. 58000.

A and B together

Answer can not be determined even using both statements

Only B

Either A or B only

No need of any information

Q7. What is the rate p.c.p.a. on an amount of Rs. 6,000 deposited in a Bank?

A. The simple interest for four years is Rs. 3600.

B. The difference between the simple interest and compound interest is Rs. 894.0375.

Only A

Any of them

Only B

Either A or B only

No need of any information

Q8. What is the number?

A. 20% of that number is one fifth of that number.

B. 5/6th of that number is less than that number by 15.

A and B together

Any of them

Only B

Either A or B only

No need of any information

Directions (9-13): Each of the questions consists of a question followed by three statements. You have to study the questions and the statements and decide which of the statements(s) is/are necessary to answer the question.

Q9. What is the area of the hall?

I. Material cost of flooring per sq metre is Rs. 250

II. labour cost of flooring the hall is Rs. 3,500

III. Total cost of flooring the hall is Rs. 14,500

I and II only

II and III only

All I, II and III

Any two of the three

III and I only

Q10. What was the percentage of discount offered?

I. Profit earned by selling the article for Rs. 252 after giving discount was Rs. 52.

II. Had there been no discount the profit earned would have been Rs. 80

III. Had there been no discount the profit earned would have been 40%.

I and II only

II and either I or III only

I and III only

I and either II or III only

None of these

Q11. What is the speed of the train?

I. The train crosses a signal pole in 13 sec.

II. The train crosses a platform of length 250 m in 27 seconds.

III. The train crosses another train running in the same direction in 32 seconds.

I and II only

I and III only

II and III only

Any two of the three

None of these

Q12. What is the population of State ‘A’?

I. After increasing the population of State A by 15% it becomes 1.61 lakhs

II. Ratio of population of State A to that of State B is 7 : 8 respectively

III. Population of State B is 1.6 lakhs

I only

II and III only

I and II only

Either only I or II and III

All I, II and III

Q13. How many workers are required for completing the construction work in 10 days?

I. 20% of the work can be completed by 8 workers in 8 days

II. 20 workers can complete the work in 16 days

III. One eighth of the work can be completed by 8 workers in 5 days

I and II only

II and III only

I only

III only

Any one of three

Q14. Find the height of an equilateral triangle.

A. Perimeter of the triangle is equal to the perimeter of the rectangle whose length and breadth are in the ratio of 5 :3.

B. Perimeter of a square is known, which is twice the perimeter of the triangle.

C. Area of the triangle is known.

Only A

Any of them

Only C

Either B or C alone

A and either B or C

Q15. A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

All are required

Any one pair of A and B, B and C or C and A is sufficient.

Only A and B

Only A and C

None of these

SOLUTIONS

1.A

2.C

3.E

4.D

5.E

6.B

7.A

8.C

9.C

10.D

11.A

12.D

13.E

14.E

15.B

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