# e-Litmus Data Sufficiency Problem in Previous Year Papers 2

### Set 1

Find Solutions at the end of every section

 Each question is followed by two statements. You have to decide whether the information provided in the statements is sufficient for answering the question.
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

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

 Each question is followed by two statements. You have to decide whether the information provided in the statements is sufficient for answering the question.
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