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
Answer=option (e)If the three terms AP 1 = a-d,a and a+dAP 2 = A, A-D and A+D and D= d+1S= 3a = 3A= 15. a=A=5Also, P/P1= {a(a2-d2)}/ {(A2-D2)} = 7/8It is not possible to get a unique solution, even after using both statements. Answer isoption (e)
:
E
Answer=option (e)If the three terms AP 1 = a-d,a and a+dAP 2 = A, A-D and A+D and D= d+1S= 3a = 3A= 15. a=A=5Also, P/P1= {a(a2-d2)}/ {(A2-D2)} = 7/8It is not possible to get a unique solution, even after using both statements. Answer isoption (e)
Question 12. 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.
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
option (a)Assume A, B, C, D get scores 10, 8, 6, 4 respectivelyA B C D10 8 6 4Statement A:With the conditions A will give vote to BWith the conditions B will give vote to AWith the conditions C will give vote to AEven 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.
:
A
option (a)Assume A, B, C, D get scores 10, 8, 6, 4 respectivelyA B C D10 8 6 4Statement A:With the conditions A will give vote to BWith the conditions B will give vote to AWith the conditions C will give vote to AEven 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 13. 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.
1. He stops after 21 coin tosses.
2. He obtains three more tails than heads.
Answer: Option C. -> EACH statement ALONE is sufficient.
:
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.
:
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 14. 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.
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
option (d)Statement A: 2 kg potato cost + 1 kg gourd cost < 1 kg potato cost + 1 kg gourd costWhich 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 kgpotato cost + 1 kg onion cost = 2 kg gourd cost.So statement B is also not sufficient.Combining both statements we get1 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.
:
D
option (d)Statement A: 2 kg potato cost + 1 kg gourd cost < 1 kg potato cost + 1 kg gourd costWhich 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 kgpotato cost + 1 kg onion cost = 2 kg gourd cost.So statement B is also not sufficient.Combining both statements we get1 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 15. 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
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)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
:
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 16. 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.
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
option (e)Statement A: 13 currency notes will give diff. Values.Statement B: Multiple of 10, there is no unique valueEven if you combine the statement, we can have various values.
:
E
option (e)Statement A: 13 currency notes will give diff. Values.Statement B: Multiple of 10, there is no unique valueEven if you combine the statement, we can have various values.
Question 17. 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
Answer = option (e)
Using both statements it is not possible to determine the amount spent in 2000. Statement (2) gives only partial information.
:
E
Answer = option (e)
Using both statements it is not possible to determine the amount spent in 2000. Statement (2) gives only partial information.
Question 18. 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
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
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 is160 as angle BAC is given as 80.
:
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 is160 as angle BAC is given as 80.
Question 19. 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
A. 200 kgs of metal is used for Type 1
B. 300 kgs of metal is used for Type II
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.
:
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 20. 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
(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
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 removedUsing statement 2, we still do not know anything about the initial 2 papers removed.Even on combining, no conclusive result can be drawnAnswer is Option (e)
:
E
Using statement 1, we do not know anything about the initial 2 newspapers removedUsing statement 2, we still do not know anything about the initial 2 papers removed.Even on combining, no conclusive result can be drawnAnswer is Option (e)
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