### Set 1

Find Solutions at the end of every section
Mark A

If the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.

Mark B

If the question can be answered by using either statement alone.

Mark C

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

Mark D

If the question cannot be answered even by using both the statements together.

1. What are the ages of two individuals, X and Y ?

(I) The age difference between them is 6 yr.

(II) The Product of their ages is divisible by 6.

(a) A

(b) B

(c) C

(d) D

2.Is x + y – z + t even ?

(I) x + y + t is even.

(II) t and z are odd.

(a) A

(b) B

(c) C

(d) D

3.What is the number X ?

(I) The LCM of X and 18 is 36.

(II) The HCF of x and 18 is 2.

(a) A

(b) B

(c) C

(d) D

4. What is the length of the rectangle ABCD ?

(I) Area of rectangle is 48 sq. unit.

(II) Length of diagonal is 10 unit.

(a) A

(b) B

(c) C

(d) D

5. What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

(a) A

(b) B

(c) C

(d) D

6. What is the price of bananas ?

(I) With Rs 84, I can buy 14 bananas and 35 oranges.

(II) If price of bananas is reduced by 50%,then we can buy 48 bananas in Rs 12.

(a) A

(b) B

(c) C

(d) D

7. What is the area of the triangle ?

(I) Two sides are 41 cm each.

(II) The altitude to the third side is 9 cm long.

(a) A

(b) B

(c) C

(d) D

8. What is the profit percentage ?

(I) The cost price is 80% of the selling price.

(II) The profit is Rs 50.

(a) A

(b) B

(c) C

(d) D

9. What is the value of x, if x and y are consecutive positive even integers ?

(I) (x – y)2 = 4

(II) (x + y)2≤ 100

(a) A

(b) B

(c) C

(d) D

10. If x, y and z are real numbers, is z-x is even or odd ?

(I) xyz is odd.

(II) xy + yz + zx is even.

(a) A

(b) B

(c) C

(d) D

If the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.

Mark B

If the question can be answered by using either statement alone.

Mark C

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

Mark D

If the question cannot be answered even by using both the statements together.

1. What are the ages of two individuals, X and Y ?

(I) The age difference between them is 6 yr.

(II) The Product of their ages is divisible by 6.

(a) A

(b) B

(c) C

(d) D

2.Is x + y – z + t even ?

(I) x + y + t is even.

(II) t and z are odd.

(a) A

(b) B

(c) C

(d) D

3.What is the number X ?

(I) The LCM of X and 18 is 36.

(II) The HCF of x and 18 is 2.

(a) A

(b) B

(c) C

(d) D

4. What is the length of the rectangle ABCD ?

(I) Area of rectangle is 48 sq. unit.

(II) Length of diagonal is 10 unit.

(a) A

(b) B

(c) C

(d) D

5. What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

(a) A

(b) B

(c) C

(d) D

6. What is the price of bananas ?

(I) With Rs 84, I can buy 14 bananas and 35 oranges.

(II) If price of bananas is reduced by 50%,then we can buy 48 bananas in Rs 12.

(a) A

(b) B

(c) C

(d) D

7. What is the area of the triangle ?

(I) Two sides are 41 cm each.

(II) The altitude to the third side is 9 cm long.

(a) A

(b) B

(c) C

(d) D

8. What is the profit percentage ?

(I) The cost price is 80% of the selling price.

(II) The profit is Rs 50.

(a) A

(b) B

(c) C

(d) D

9. What is the value of x, if x and y are consecutive positive even integers ?

(I) (x – y)2 = 4

(II) (x + y)2≤ 100

(a) A

(b) B

(c) C

(d) D

10. If x, y and z are real numbers, is z-x is even or odd ?

(I) xyz is odd.

(II) xy + yz + zx is even.

(a) A

(b) B

(c) C

(d) D

Answer

1.D

2.C

3.C

4.C

5.A

6.A

7.C

8.A

9.D

10.A

###
**Set 2**

Find Solutions at the end of every section
Mark A

If the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.

Mark B

If the question can be answered by using either statement alone.

Mark C

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

Mark D

If the question cannot be answered even by using both the statements together.

1.What is the cost price of the chair ?

(I) The chair and the table are sold,respectively, at profits of 15% and 20%.

(II) If the cost price of the chair is increased by 10% and that of the table is increased by 20%,the profit reduces by Rs 20.

(a) A

(b) B

(c) C

(d) D

2.What is the area bounded by the two lines and the co-ordinates axes in the first quadrant ?

(I) The lines intersect at a point which also lies on the lines 3x – 4y = 1 and 7x – 8y = 5.

(II) The lines are perpendicular and one of them intersects the Y-axis at an intercept of 4.

(a) A

(b) B

(c) C

(d) D

3.What is the ratio of the volume of the given right circular cone to the one obtained from it ?

(I) The smaller cone is obtained by passing a plane parallel to the base and dividing a the original height in the ratio of 1 : 2.

(II) The height and the base of the new cone are one-third those of the original cone.

(a) A

(b) B

(c) C

(d) D

4.What is the speed of the car ?

(I) The speed of a car is 10 more than that of the a motorcycle.

(II) The motorcycle takes 2 Hours more than the car to cover 100 Km.

(a) A

(b) B

(c) C

(d) D

5.Three friends P, Q and R are wearing hats,either black or white. Each person can see the hats of the other two persons. What is the color of P’s hat ?

(I) P says that he can see one black hat and one white hat.

(II) Q says that he can see one white hat and one black hat.

(a) A

(b) B

(c) C

(d) D

6.What are the values of x and y ?

(I) 3x + 2y = 45

(II) 10.5x + 7y = 157.5

(a) A

(b) B

(c) C

(d) D

7.What are the values of 3 integers a, b and c ?

(I) ab=8

(II) bc =9

(a) A

(b) B

(c) C

(d) D

8.Is the number completely divisible by 99 ?

(I) The number is divisible by 9 and 11 simultaneously.

(II) If the digits of the numbers are reversed, the number is divisible by 9 and 11.

(a) A

(b) B

(c) C

(d) D

9.What is the value of a3 + b3 ?

(I) a2 + b2 = 22

(II) ab=3

(a) A

(b) B

(c) C

(d) D

10After what time will the two persons Tez and Gati meet while moving around the circular track? Both of them start at the same point and at the same time ?

(I) Tex moves at a constant speed of 5 m/s , while Gati starts at a speed of 2m/s and increases his speed by 0.5m/s at the end of every second thereafter.

(II) Gati can complete one entire lap in exactly 10s.

(a) A

(b) B

(c) C

(d) D

**Answer**

1.D

2.A

3.B

4.C

5.D

6.D

7.D

8.B

9.D

10.D

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