Exams > Cat > Di And Lr
DATA SUFFICIENCY MCQs
Total Questions : 71
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Question 41.
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
Answer: Option B. ->
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
:
B
:
B
(b)
Given that 2G+3B=20
Using 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 question
If statement II is used, 3B+2G=20, we have G=4 and B=4
Hence, statement II alone is sufficient to answer the question
Question 42.
Nandini paid for an article using currency notes of denominations Re. 1, Rs. 2, Rs. 5, and Rs. 10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. What was the price of the article?
1. Nandini used a total of 13 currency notes.
2. The price of the article was a multiple of Rs. 10.
Answer: Option E. ->
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E
:
E
option (e)
Statement A: 13 currency notes will give diff. Values.
Statement B: Multiple of 10, there is no unique value
Even if you combine the statement, we can have various values.
Answer: Option B. ->
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
:
B
:
B
option (b)
let the 6 digit telephone number be A B C D E F
from statement (1) no useful information can be obtained to obtain a unique phone number
from 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 44.
Anita spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Which one of the three vegetables bought was the costliest?
1. 2 kg potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.
2. 1 kg potato and 2 kg onion together cost the same as 1 kg onion and 2 kg gourd.
Answer: Option D. ->
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D
:
D
option (d)
Statement A: 2 kg potato cost + 1 kg gourd cost < 1 kg potato cost + 1 kg gourd cost
Which means that 1 kg potato cost < 1 kg gourd cost.
So statement A is not sufficient.
Statement B: 1 kg potato cost + 2 kg onion cost = 1 kg onion cost + 2 kg gourd cost = 1 kg
potato cost + 1 kg onion cost = 2 kg gourd cost.
So statement B is also not sufficient.
Combining both statements we get
1 kg potato cost < 1 kg gourd cost …(i)
1 kg potato cost + 1 kg onion cost = 2 kg gourd cost …(ii)
So the onion is costliest.
Question 45.
Tahir is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop?
1. He stops after 21 coin tosses.
2. He obtains three more tails than heads.
Answer: Option C. ->
EACH statement ALONE is sufficient.
:
C
:
C
option (c)
Statement A: We can find, there are 12 Tails and 9 Heads.
After tosses he will reach at blue point. So statement A is sufficient.
Statement B: 3 more Tails greater than Heads. So he will reach at blue point after tosses.
So statement B is also sufficient.
Question 46.
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.
Answer: Option B. ->
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
:
B
:
B
option (b)
Statement A: Cannot say anything.
Statement B: Because amongst the Top 5 → 3 are boys, 2 are girls. And Reshma is third
among the girls and Kishor is 6th.
We can conclude.
Answer (b) statement II is sufficient.
Question 47.
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.
Which is the greatest amongst a, b and c?
a + c = 2b
b= a+ d , c= a + 2d where d is a real number
Answer: Option D. ->
D
:
D
:
D
From I we can only infer that a, and c are in A.P.
From II we can infer a, b and c are in A.P but we don’t know if d is positive or negative. Thus we cannot find out the greatest number.
Option (d)
Question 48.
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 relation between A and B?
I. D is A’s grandfather.
II. B is D’s son.
Answer: Option D. ->
D
:
D
:
D
Using I and II we can only infer that B is A’s grandfather’s son. Now B can b A’s uncle or A’s father thus exact relationship is not known.
Option d
Question 49.
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.
People in a club either speak French or Russian or both. Find the number of people in a club who speak only French.
I. There are 300 people in the club and the number of people who speak both French and Russian is 196.
II. The number of people who speak only Russian is 58.
Answer: Option C. ->
C
:
C
:
C
Choice (c) To make a Venn diagram, we need both statements. Total = 300.
Question 50.
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.
X and Y are two points between P and Q. Find the length XY?
I. PQ= 40cm.
II. PY=XQ= 10 cm
Answer: Option C. ->
C
:
C
:
C
From I and II we infer the following
P______10cm_______Y_____________X____10cm____Q
Thus we can find length XY
Note: Since the lengths of PY and XQ are known thus we will have to stick to the above inference only. The point cannot be in the order PXYQ
Option (c)
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