Exams > Cat > Di And Lr
DATA SUFFICIENCY MCQs
Total Questions : 71
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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 0-2Hence in the last 5 minutes the score line becomes 3-3 hence a drawCASE B:the initial score line is 1-3In the last 5 minutes the score line becomes 4-3 hence a win.So we cannot determine if india wins even after we combine both the statements
:
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 0-2Hence in the last 5 minutes the score line becomes 3-3 hence a drawCASE B:the initial score line is 1-3In the last 5 minutes the score line becomes 4-3 hence a win.So we cannot determine if india wins even after we combine both the statements
Question 32.
Find the total amount which Amico spends on printing in the year 2000, if everyday same quantity of material is printed as in 1990. printing cost is volatile but it remains constant for the year in consideration1. In the year 1990, total amount spent on printing was 10 crore2. Printing cost a day in the year 2000 changes by 20% over that in 1990. it is also known that printing cost has an increasing trend over the years till 1995.
Answer: Option E. ->
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E
:
E
Answer = option (e)
Using both statements it is not possible to determine the amount spent in 2000. Statement (2) gives only partial information.
Answer: Option E. ->
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E
:
E
Using statement (1), we can get several prime numbers which satisfy the condition. We cannot arrive at an unique answer
Using statement (2), we can again get many cases. Hence, this statement also does not individually give an unique answer
Using both statements together, we are looking for an integral sum with prime numbers where Q=S and P+R=Q
One 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 34.
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
Answer: Option D. ->
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
:
D
:
D
Option (d)
We need to have both statements to find the number of sheep
Answer: Option E. ->
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E
:
E
Answer=option (e)
If the three terms
AP 1 = a-d,a and a+d
AP 2 = A, A-D and A+D and D= d+1
S= 3a = 3A= 15. a=A=5
Also, P/P1= {a(a2-d2)}/ {(A2-D2)} = 7/8
It is not possible to get a unique solution, even after using both statements. Answer is
option (e)
Question 36.
Two schools decide to send their students to a picnic on the same day. How many students attend the picnic from the first school?
1. 40 students in all attend the picnic
2. If you multiply the number of students from first school with the number of students from the second school, the answer is 300
Answer: Option E. ->
Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
:
E
:
E
(e)
While at first glance, you may be tempted to answer (c), since there are two linear equations and two variables, as you try to solve the question you will get two answers 30 and 10. So you can’t say which one of those applies to the first school
Question 37.
Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner of the award. The candidate who gets the largest number of votes wins the award. In case of a tie in the voting process, the candidate with the highest score wins the award. Who wins the award?
1. The candidates with top three scores each vote for the top score amongst the other three.
2. The candidate with the lowest score votes for the player with the second highest score.
Answer: Option A. ->
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
:
A
:
A
option (a)
Assume A, B, C, D get scores 10, 8, 6, 4 respectively
A B C D
10 8 6 4
Statement A:
With the conditions A will give vote to B
With the conditions B will give vote to A
With the conditions C will give vote to A
Even if D gives to A/B/C — 2 situations arise.
Either A will win or there will a tie when D gives vote to B.
Even then A will win.
So we are getting the answer.
Statement B: Can conclude anything.
Question 38.
Radhesh is a class X student and is practicing for his board exam. He draws a circle of radius 9.6 cm. He also draws a chord, whose length is
1. If you measure the perpendicular distance from the centre of the centre of the circle to the chord, you get 6 cm
2. If you draw a triangle with two end points being the end points of the chord and the third point touching the circle, the 3rd angle is 80 degrees
Answer: Option C. ->
EACH statement ALONE is sufficient.
:
C
:
C
Statement I allows you get the answer since the perpendicular from the centre of the circle to the chord is going to bisect the chord. Then using Pythagoras theorem, you can calculate the length of the ½ chord
Statement II- if two sides and the included angle is given, then the third side can be found.
Angle BCD is 160 as angle BAC is given as 80.
Answer: Option B. ->
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
:
B
:
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 40.
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.
Answer: Option B. ->
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
:
B
:
B
option (b)
Statement A: 20% of A > 25% of D
With this we cannot say. As we are comparing 30% of A and 40% of B
Statement B: 13% of D > 10% of A
39% of D > 30% of A. So 40% of D must be greater than 30% of A.
Hence statement B is sufficient to answer.
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