# e-Litmus Data Sufficiency Problem in Previous Year Papers 4

### 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.If m is an integer, is m odd ?
(I) m/2 is not an even number .
(II) m – 3 is an even integer.
(a) A
(b) B
(c) C
(d) D

2.Total amount of Rs 38500 was distributed among Praveen, Ranjan and Nitesh. How much does each get ?
(I)   Praveen gets 2/9 of what other two get.
(II)  Ranjan gets 3/11 of what other two get.
(a) A
(b) B
(c) C
(d) D

3.Of the 300 students who speak French,Russian or both, how many speak only French ?
(I)  196 students speak both French and Russian.
(II) 58 students speak Russian only.
(a) A
(b) B
(c) C
(d) D

4.If the teacher adds four students to the class,can he evenly distribute the class in groups of 4 students ?
(I) If 12 students are added to the class,then the teacher can divide students evenly in groups of 8.
(II) Initially, the number of students is not divisible by 8.
(a) A
(b) B
(c) C
(d) D

5.Is average (arithmetic mean) score of GMAT 500 ?
(I)  Half of the students scored more than 500 and half less than 500.
(II) Highest is 800 and lowest is 200.
(a) A
(b) B
(c) C
(d) D

6.Is x = y ?
(I)  (x + y) (1/x + 1/y) = 4
(II) (x – 50)(x – 50)=(y – 50)(y – 50)
(a) A
(b) B
(c) C
(d) D

7.Is |x – 2| < 1 ?
(I) |x| < 1
(II)|x-1| < 2
(a) A
(b) B
(c) C
(d) D

8.Two Friends,Ram and Gopal, bought apples from a wholesale dealer. How many apples did they buy ?
(I)   Ram bought one-half the number of apples that Gopal bought.
(II) The wholesale dealer had a stock of 500 apples.
(a) A
(b) B
(c) C
(d) D

9.What is the value of X ?
(I)  X and Y are unequal even integers,less than 10 and X/Y is an odd integer.
(II) X and Y are even integers,each less than 10 and product of X and Y is 12.
(a) A
(b) B
(c) C
(d) D

10What are the values of m and n ?
(I)  n is an even integer m is an odd integer and m is greater than n.
(II) Product of m and n is 30.
(a) A
(b) B
(c) C
(d) D
Answer
1.A
2.C
3.C
4.A
5.D
6.A
7.A
8.D
9.D
10.C

### 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.Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR+RQ ?
(I)  Diameter of the inscribed circle of the triangle PQR is equal to 10 cm.
(II) Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm.
(a) A
(b) B
(c) C
(d) D

2.How many people are watching TV programme P ?
(I) Number of people watching TV programme Q is 1000 and number of people watching both  the programme P and Q is 100.
(II) Number of people watching either P or Q or both is 1500.
(a) A
(b) B
(c) C
(d) D

3.Let X be a real number.Is the modulus of X necessarily less than 3 ?
(I) X(X + 3) < 0
(II) X(X – 3) > 0
(a) A
(b) B
(c) C
(d) D

4.Consider three real numbers, X,Y and Z. Is Z is the smallest of the these numbers ?
(I)   X is greater than at least one of Y and Z.
(II) Y is greater than at least one of X and Z.
(a) A
(b) B
(c) C
(d) D

5.There is a circle with centre C at the origin and radius r cm. Two tangents are drawn from an external point D at a distance d cm from the centre. What are the angles between each tangent and X-axis ?
(I)  The co-ordinates of D are given.
(II) The X-axis bisects one of the tangents.
(a) A
(b) B
(c) C
(d) D

6.A small storage tank is spherical in shape. What is the storage volume of tank ?
(I)  The wall thickness of the tank is 1 cm.
(II) When an empty spherical tank is immersed in a large tank filled with water,20 L of water overflows from the large tank.
(a) A
(b) B
(c) C
(d) D

7.The average weight of students in a class is 50 Kg. What is the number of students in the class ?
(I)  The heaviest and the lightest members of the class weigh 60 Kg and 40 Kg.
(II) Exclusion of the heaviest and the lightest members from the class does not change the average weight of the students.
(a) A
(b) B
(c) C
(d) D

8.A circle circumscribes a square. What is the area of the square ?
(I)  Radius of the circle is given.
(II) Length of the tangent from a point 5cm away from the centre of the circle is given.
(a) A
(b) B
(c) C
(d) D

9.What is the price of the tea ?
(I)  Price of coffee is Rs 5  more than that of tea.
(II) Price of coffee was Rs 5 less than the price of a cold drink which cost three times the price of tea.
(a) A
(b) B
(c) C
(d) D

10Radha and Megha appeared in an examination.What was the total number of questions ?
(I)  Radha and Megha together solved 20% of the paper.
(II) Radha alone solved 3/5th part of the paper solved by Megha.
(a) A
(b) B
(c) C
(d) D

Answer
1.D
2.C
3.A
4.C
5.B
6.A
7.D
8.B
9.C
10.D