Model Question paper for MBA (Page8)

SECTION - IV

DATA SUFFICIENCY (QUESTIONS 61 - 80)

Directions: Each question below is followed by two statements numbered as (a) and (b). You have to
determine whether the data given in the statements is sufficient for answering the question. Use the data
given, plus your knowledge of mathematics and every day facts, to mark your answer as
1. If statement (a) alone is sufficient to answer the question, but statement (b) alone is not sufficient.
2. If statement (b) alone is sufficient to answer the question, but statement (a) alone is not sufficient.
3. If both statements together are needed to answer the questions, but neither statement alone is
sufficient
4. If either statement (a) or (b) by itself is sufficient to answer the question.
5. If not enough facts are given to answer the question.

Directions:
Each of the following problems has a question and two statements which are labeled (1) and (2) in which
certain data are given. You have to decide whether the data given in the statements are sufficient for
answering the questions. Using the data given in the problems plus your knowledge of mathematics and every
day facts, choose:
1. If you can get the answer from (1) ALONE but not from (2) alone
2. If you can get the answer from (2) ALONE but not from (1) alone.
3. If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
4. If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
5. If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more data

61. Find the value of the smaller acute angle of a right angled triangle.
1. The hypotenuse is twice the length of the shorter arm
2. The larger acute angle is 60º
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.

62. What is the volume of soil required to fill a flower box?
1. The box is 80 cm wide
2. The box is 1 metre long
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data

63. How long will it take for two pipes to empty or fill a tank that is 3/4 full?
1. Pipe A can fill the tank in 12 minutes
2. Pipe B can empty it in 8 minutes.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data

64. How much did a man earn in 2002?
1. He earned Rs. 6,500 in 2003 which is 12.5 % more than he earned in 2002.
2. His wife (who earned half the amount he earned) and he earned Rs. 8666.67 together in 2002
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2)
alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data

65. How long is a bridge that crosses a river which is 250 metres wide?
1. One bank of the river holds 1/5 of the bridge.
2. The other bank holds 1/6 of he bridge.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data

66. What is the average age of the children in a class?
1. The age of the teacher is as many years as the number of children.
2. The average age increases by 1 year if the teacher’s age is also included.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2)
alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
67. A rectangular field is 40 metres long. Find the area of the field.
1. A fence around the entire boundary of the field is 140 meters long
2. The field is more than 20 metres wide.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data

68. A man, 2 metres tall is standing near a light on the top of a pole. What is the length of the shadow of by
the man?
1. The pole is 6 metres high
2. The man is 4 metres from the pole.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.

69. Working at a constant rate, it takes worker U, 3 hours to fill up a ditch with sand. How long would it take
for worker V to fill up the same ditch working alone?
1. Working together U and V can fill the ditch in 1 hour 52.5 minutes
2. In any length of time worker V" fills in only 60% as much as worker U does in the same time.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you an get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.

70. Mohan is 6 years older than Sohan. What will be the sum of their present ages?
1. After 6 years the ratio of their ages will be 6: 5
2. The ratio of their present ages is 5: 4
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.