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 3 of 8 pages

Question 21. 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 22. 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 23. If x is a positive integer, find the remainder when x is divided by 6
A. When x-1 is divided by 6, the remainder is 1
B. When 3x is divided by 6, the remainder is 0

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
Option (a)Statement A alone is sufficient. When x-1 is divided by 6, the remainder is 1. therefore, when x is divided by 6; the remainder will be 2. Statement B states that 3x is exactly divisible by 6. take 2 cases; say x=8 and in this case 3x= 24 is divisible by 6. but in another case, if x=16; then 3x= 48; which is divisible by 6; but 16 leaves a remainder of 4. Hence B does not conclusively answer the question

Question 24. Amrutha makes candles. She follows a particular pattern for the number of candles she makes. She works for more than a day. If Amrutha makes “x” candles on the first day, she makes “x+1” candles on the next day. On the third day she makes as many candles as the sum of the number of candles made in the previous two days. The pattern of the third day is followed for the rest of the days This process can finish any day and “x” is a natural number. How many days does she work for?
1.she makes a total number of candles equal to the highest two digit prime number.
2. she makes 48 candles on the first day

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
Answer = option (a)97 is the highest two digit prime number. Since she takes more than one day , she prepares 47 candles on the first day and 48 candles on the second day. This is the only possible combination. Answer can be obtained based on statement (1) aloneStatement (2) does not give us information about the total number of candles made.

Question 25. What is the perimeter of the triangle ABC? One of its side is 10√3 units.
A. BC is the hypotenuse of the right angle triangle ABC.
B. The sum of the areas of the semicircles described on the three sides of the triangle ABC is 100 π sq. units.

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)Given, sum of areas of semi-circles x, y and z is 100πIf BC = a cm, AC = b cm, AB = c cm.Area of semi-circle x is π/2 x a²/4 cm2Area of semi circle y is π/2 x c²/4 cm2Area of semi circlezx is π/2 x b²/4 cm2½ π/4 (a² + b² +c²) =100πa2 + b² + c² = 800from Statement 1:We know that in ABC is a right angle triangle.a² = b² +c² = 2(b² +c²) = 800b² +c² = 400b² +c² = a² = 400 ;a = 20b or c = 10√3 and the sides are 10, 10√3, 20the perimeter = 30 + 10√3 cm

Question 26. The cost price of an article is 100. Find the profit made by selling it.
A. Ten percent discount was given on the list price and the profit percentage made is 25 percentage points more than the discount percent.
B. List price is Rs.180 and profit percent is 1/5th of the mark up percentage.

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
Option (C) From A profit % is 35% (i.e. 10 +25) => profit = Rs.35From B Markup% = 80%profit % = 1/5 x 80 = 16%profit = Rs.16Either statement is sufficient

Question 27. What is the value of the positive integer n?
A. The product of the numbers a, and b, which are respectively three less and two less than n,is 0.
B. n!/2 =(n-2)!

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 B. -> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
:
B
Option (b)From A(n - 3) (n - 2) = 0n = 2 or 3A alone is not sufficientFrom BOnly for n = 2n!/2 =(n-2)!B alone is sufficient.

Question 28. 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 29. 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 30. 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 beobtained based on statement 1 aloneUsing 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.