Data Sufficiency(Exams > Cat > Di And Lr ) Questions and answers for exam Preparation

Exams > Cat > Di And Lr

DATA SUFFICIENCY MCQs

Total Questions : 71 | Page 7 of 8 pages

What is the average speed of a Volvo bus traveling a distance of 500 kms between Bangalore and Hyderabad?
A. The bus travels at an average speed of 60 kmph during the first five hours of the journey
B. The bus covers the last 150 kms in 3 hours

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option E. -> Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E

Option (e)

From statement A, we know the time taken to cover the first 300 kms. From statement B, we know the time taken to cover the last 150 kms. But neither of the statements provides any information about the time taken to cover the 50 kms in between.

Question 62.

What is the area of the triangle?
(A) Two sides are 41 cm each
(B) The altitude to the third side is 9 cm long.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option D. -> BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D

option (d)

If the altitude to the base of an isosceles triangle is known, the base can be found, and hence the area.

Question 63.

The total capacity of production of two types of bikes in a factory is 25000 units. Using a total of 6000 tones of metal for production of both types of bikes and operating at full capacity, what is the production of type I?
A. 200 kgs of metal is used for Type 1
B. 300 kgs of metal is used for Type II

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option D. -> BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D

Option (d)

If x are the number of type 1 bikes produced and y the number of type 2 bikes produced, then we can get two simultaneous equations based on the two statements which need to be solved

x+y=25000 and 200x+300y=6000000.

Question 64.

Which of the three bowlers in the series of test matches took most wickets?
(A) The first and the third bowlers took twice as many wickets as the second bowler
(B) The second and the third bowlers took three times as many wickets as the first bowler.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option D. -> BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D

This is the solving of 2 simultaneous equations

A+C=2B

B+C=3A

subtracting the above equations we get B=2A, hence B is greater than A.

Also we get 4C=5B, hence c is greater than B.

So the order will be C>B>A. hence C took the maximum wickets

Option (d)

Question 65.

What is the ratio of radii of the circumcircle and the incircle of a polygon of 12 sides
(A) The polygon is a regular one of side 8 cm.
(B) One angle measures 150°

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option A. -> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
:
A

We can find the answer based on statement 1 alone.

Hence, Option (a)

Question 66.

People in a club either speak French or Russian or both. Find the number of people in a club who speak only French.
A. There are 300 people in the club and the number of people who speak both French and Russian is 196.
B. The number of people who speak only Russian is 58.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option D. -> BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D

option (d) To make a Venn diagram, we need both statements. Total = 300.

Question 67.

A newspaper boy has 3 TOI, 2 ET and 3 HT in his bag (kept at random). He takes out 2 newspapers at random, without replacement. Does he select at least one ET?
(A) He takes out 5 more newspapers at random of which there is at least one TOI, one ET and one HT
(B) He takes out 5 more newspapers at random and there are 2 TOI and 2 HT among them

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option E. -> Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E

Using statement 1, we do not know anything about the initial 2 newspapers removed

Using statement 2, we still do not know anything about the initial 2 papers removed.

Even on combining, no conclusive result can be drawn

Answer is Option (e)

Question 68.

A sum of Rs.38,500 was divided among Jagdish, Punit and Girish. Who received the minimum amount?
A. Jagdish received 2/9 of what Punit and Girish together received.
B. Punit received 3/11 of what Jagdish and Girish together received

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option D. -> BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D

Option (d) From first statement we get only J’s share. Only by combining the statements we get the values of each student.

Question 69.

A fruitseller sells 80% of all his fruits on a particular day, which comprise of only mangoes and apples. He sells an equal number of mangoes and apples. He sells mangoes for Rs 1 each and apples for Rs 3 each. How many fruits were there before the sale?
A. His total revenue from the sale of his fruits was Rs 32
B. Exactly 2 mangoes and 2 apples are remaining after the sale

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option C. -> Each statement alone is sufficient
:
C

Answer= option (c)

Using statement (1) we can arrive at an equation x+3x=32. hence, the answer can be

obtained based on statement 1 alone

Using statement (2) we can also arrive at the answer

20% 4 fruits

100% = 400/20 = 20 fruits. Hence, using both statements individually, it is possible to arrive at the solution.

Question 70.

In a hockey match, the Indian team was behind by 2 goals with 5 minutes remaining. Did they win the match ?
A. Deepak Thakur, the Indian striker, scored 3 goals in the last five minutes of the match.
B. Korea scored a total of 3 goals in the match.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
Each statement alone is sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Discuss Question

Answer: Option E. -> Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E

option (e)

India was trailing by 2 goals

With Statement A we cannot find if india won the match or not as Koreas score line is not know.

With Statement B alone we dont get Indias Scoreline.

Combining Both statements :

Case A:

Initial Score line can be 0-2

Hence in the last 5 minutes the score line becomes 3-3 hence a draw

CASE B:

the initial score line is 1-3