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 1 of 8 pages

Question 1. Mark (a) if the question can be answered from statement I alone
Mark (b) if question can be answered from statement II alone
Mark (c) if question can be answered using both statements together but not by using either statement alone
Mark (d) if the question cannot be answered by using both the statements.
What is the height of tower X.
I. The angle of elevation of tower from a point on the road is 30 degrees.
II. The angle of elevation of the tower from a man who is 10 m away from the tower is 60 degrees and the height of man is 2m

Discuss Question

Answer: Option B. -> B
:
B
From II we can find out the length of the tower
Thus option (b)

Question 2. If x, y are natural numbers, is the value of x+y an even number?
1. L.C.M of x² and y is 12
2. H.C.F of y² and x is 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
(b)Statement A implies (x, y) = {(2, 3), (2, 6), (1, 12), (2, 12)} This implies x+y may be even or odd.Statement (A) alone is not sufficient Statement B: x, y = {(2, 2), (2, 6), (2, 8)...} i.e. X and y are both even numbers.Statement B alone is sufficient.

Question 3. Amit spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentage for Deepa are 40%, 25%, and 13%. Who spends more on children’s education?
1. Amit spends more on recreation than Deepa.
2. Deepa spends more on healthcare than Amit.

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)Statement A: 20% of A > 25% of DWith this we cannot say. As we are comparing 30% of A and 40% of BStatement B: 13% of D > 10% of A39% of D > 30% of A. So 40% of D must be greater than 30% of A.Hence statement B is sufficient to answer.

Question 4.

, where x is an integer.
Find the individual values of P,Q,R,S
1. P,Q,R,S are all prime numbers
2. Q=S, P+R=Q

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 can get several prime numbers which satisfy the condition. We cannot arrive at an unique answerUsing statement (2), we can again get many cases. Hence, this statement also does not individually give an unique answerUsing both statements together, we are looking for an integral sum with prime numbers where Q=S and P+R=QOne such possible case is 2/5 + 3/5 = 1 (where A= 2 or 3 and C=2 or 3). Hence, unique values cannot be obtained. Answer is option (e)

Question 5. 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 6. 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 equationsA+C=2BB+C=3Asubtracting 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 wicketsOption (d)

Question 7. My telephone number is a six digit number. What is it?
1) The number is divisible by 22, and three digits of the number are the same
2) Sum of the digits at odd places is equal to 27 and sum of digits at even places is equal to 5. the 100^th and units place of the number is zero

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)let the 6 digit telephone number be A B C D E Ffrom statement (1) no useful information can be obtained to obtain a unique phone numberfrom statement (2), if the sum of 3 digits = 27 A+C+E=27, the the only possibility is that A=C=E=9. Also given that D=F=0 and B=5. hence the number is 959090. answer can be obtained based on statement (2) alone

Question 8. If 20 sweets are to be distributed among some boys and girls such that each girl gets 2 sweets and each boy gets 3 sweets, what are the numbers of boys and girls?
1. The number of girls is not more than 5
2. If each girl gets 3 sweets and each boy get 2 sweets, the number of sweets required for the children will still be the same

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
(b)Given that 2G+3B=20Using statement I that number of girls is not more than 5, we have G=1, B=6 and G=4, B=4. since we cannot get a single solution from this statement it is not sufficient to answer the questionIf statement II is used, 3B+2G=20, we have G=4 and B=4Hence, statement II alone is sufficient to answer the question

Question 9. Little Bo Peep lost her sheep. She could not remember how many were there. She knew she would have 400 more next year, than the number of sheep she had last year. How many sheep were there?
1. The number of sheep last year was 20% more than the year before that and this rate of increase continues to be the same for the next 10 years.
2. The increase is compounded annually

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)We need to have both statements to find the number of sheep

Question 10. In a class of 30 students, Reshma secured the third rank among the girls, while her brother Kishor studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank?
1. Kishor was among the top 25% of the boys merit list in the class in which 60% were boys.
2. There were three boys among the top five rank holders, and three girls among the top ten rank holders.

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)Statement A: Cannot say anything.Statement B: Because amongst the Top 5 → 3 are boys, 2 are girls. And Reshma is thirdamong the girls and Kishor is 6th.We can conclude.Answer (b) statement II is sufficient.