Exams > Cat > Di And Lr
DI AND LR CLUBBED MCQs
Total Questions : 1806
| Page 9 of 181 pages
Answer: Option A. -> 290 %
:
A
Initial trade deficit≈ 3449510
Import increases at a rate of 15% every year for 4 years. This means that it's final value will be
17609863×1.054=21404898
Similarly Export increases at a rate of 5% every year for 4 years. This means that it's final value will be
14160353×1.154=24766545
New trade deficit ≈ 3361647
Percentage increase is from 3449510 to 3361647 ≈ 290% increase.
:
A
Initial trade deficit≈ 3449510
Import increases at a rate of 15% every year for 4 years. This means that it's final value will be
17609863×1.054=21404898
Similarly Export increases at a rate of 5% every year for 4 years. This means that it's final value will be
14160353×1.154=24766545
New trade deficit ≈ 3361647
Percentage increase is from 3449510 to 3361647 ≈ 290% increase.
:
From the table, the market share of CO in Kolkata has halved. It is the only product which shows such a drastic decrease in any city.
Hence, percentage of this decrease = 50%.
Answer: Option D. -> S or W
:
D
The panel must include S or W as the second in seniority since the senior most will be the presiding judge and each panel should have two experienced judges in that particular field.
:
D
The panel must include S or W as the second in seniority since the senior most will be the presiding judge and each panel should have two experienced judges in that particular field.
Answer: Option D. -> All of these
:
D
Student A:
Total grade points (in remaining two subjects) = 10 - 4 = 6. Three possibilities exist.
(1)6 = 3 + 3
(2)6 = 4 + 2
(3) 6 = 5 + 1
Student A satisfies the given condition.
Student B:
Total grade points (in remaining three subjects) = 15 - 6 = 9. Possibilities .
(1) 9 = 3 + 3 + 3
(2) 9 = 4 + 3 + 2
(3) 9 = 5 + 3 + 1
(4) 9 = 4 + 4 + 1
Student B satisfies the condition. Hence option (d)
:
D
Student A:
Total grade points (in remaining two subjects) = 10 - 4 = 6. Three possibilities exist.
(1)6 = 3 + 3
(2)6 = 4 + 2
(3) 6 = 5 + 1
Student A satisfies the given condition.
Student B:
Total grade points (in remaining three subjects) = 15 - 6 = 9. Possibilities .
(1) 9 = 3 + 3 + 3
(2) 9 = 4 + 3 + 2
(3) 9 = 5 + 3 + 1
(4) 9 = 4 + 4 + 1
Student B satisfies the condition. Hence option (d)
Question 85. Last year, the five employees of Alpha Ltd. took an average of 16 vacation days each. What was the average number of vacation days taken by the same employees this year?(1) Three employees had a 50% increase in their number of vacation days, and two employees had a 50% decrease.
(2) Three employees had 10 more vacation days each, and two employees had 5 fewer vacation days each.
(2) Three employees had 10 more vacation days each, and two employees had 5 fewer vacation days each.
Answer: Option A. -> if the question can be answered by using any of the
statements alone but not by using the other statement alone.
:
A
number of vacation days by the number of
employees. Since we know the total number of
employees, we can rephrase the question as:
How many total vacation days did the
employees of Alpha Ltd. take this year?
(1) INSUFFICIENT: Since we don't know the
specific details of how many vacation days
each employee took the year before, we cannot
determine the actual numbers that a 50%
increase or a 50% decrease represent. For
example, a 50% increase for someone who took
40 vacation days last year is going to affect
the overall average more than the same
percentage increase for someone who took only
4 days of vacation last year.
(2) SUFFICIENT: If three employees took 10
more vacation days each, and two employees
took 5 fewer vacation days each, then we can
calculate how the number of vacation days
taken this year differs from the number taken
last year:
(10 more days/employee)(3 employees) - (5
fewer days/employee)(2 employees) = 30
days - 10 days = 20 days
20 additional vacation days were taken this
year.
In order to determine the total number of
vacation days taken this year (i.e., in order to
answer the rephrased question), we need to
determine the number of vacation days taken
last year. The 5 employees took an average of
16 vacation days each last year, so the total
number of vacation days taken last year can
be determine by taking the product of the two:
(5 employees)(16 days/employee) = 80 days
80 vacation days were taken last year. Hence,
the total number of vacation days taken
this year was 100 days.
Note: It is not necessary to make the above
calculations -- it is simply enough to know that
you have enough information in order to do so
(i.e., the information given is sufficient)!
:
A
number of vacation days by the number of
employees. Since we know the total number of
employees, we can rephrase the question as:
How many total vacation days did the
employees of Alpha Ltd. take this year?
(1) INSUFFICIENT: Since we don't know the
specific details of how many vacation days
each employee took the year before, we cannot
determine the actual numbers that a 50%
increase or a 50% decrease represent. For
example, a 50% increase for someone who took
40 vacation days last year is going to affect
the overall average more than the same
percentage increase for someone who took only
4 days of vacation last year.
(2) SUFFICIENT: If three employees took 10
more vacation days each, and two employees
took 5 fewer vacation days each, then we can
calculate how the number of vacation days
taken this year differs from the number taken
last year:
(10 more days/employee)(3 employees) - (5
fewer days/employee)(2 employees) = 30
days - 10 days = 20 days
20 additional vacation days were taken this
year.
In order to determine the total number of
vacation days taken this year (i.e., in order to
answer the rephrased question), we need to
determine the number of vacation days taken
last year. The 5 employees took an average of
16 vacation days each last year, so the total
number of vacation days taken last year can
be determine by taking the product of the two:
(5 employees)(16 days/employee) = 80 days
80 vacation days were taken last year. Hence,
the total number of vacation days taken
this year was 100 days.
Note: It is not necessary to make the above
calculations -- it is simply enough to know that
you have enough information in order to do so
(i.e., the information given is sufficient)!
Answer: Option A. -> R, S, X
:
A
Option (b) is eliminated as there have to be two judges experienced in criminal cases.
Option (c) is eliminated as S & W belong to the same region.
Option(d) is eliminated as T & X belong to the same region.
:
A
Option (b) is eliminated as there have to be two judges experienced in criminal cases.
Option (c) is eliminated as S & W belong to the same region.
Option(d) is eliminated as T & X belong to the same region.
Answer: Option B. -> Mahoud
:
B
Let the marks scored by Charles, David, Hanish, Kedar, Mahoud, Ninja and Raul be represented by C, D, H, K, M, N and R respectively.
From (a), all scored distinct marks:
From (b), C > K > D
From (c), H > M, N > R
From (d), Kedar scored the fourth highest marks.
From (e), M > C
From (c), R is not the least marks scored.
D is the least.
From (b), (c) and (e), H > M > C > K > D
As K is the fourth highest score and D the lowest score and as N > R, N and R must be the fifth and sixth highest scores respectively.
H > M > C > K > N > R > D
Mahoud scored the second highest marks.
:
B
Let the marks scored by Charles, David, Hanish, Kedar, Mahoud, Ninja and Raul be represented by C, D, H, K, M, N and R respectively.
From (a), all scored distinct marks:
From (b), C > K > D
From (c), H > M, N > R
From (d), Kedar scored the fourth highest marks.
From (e), M > C
From (c), R is not the least marks scored.
D is the least.
From (b), (c) and (e), H > M > C > K > D
As K is the fourth highest score and D the lowest score and as N > R, N and R must be the fifth and sixth highest scores respectively.
H > M > C > K > N > R > D
Mahoud scored the second highest marks.
Question 88. Arun draws a regular non-convex polygon, with spokes that extend from each vertex to the center of the board. If each spoke is 8 inches long, and spokes are used nowhere else on the board, what is the sum of the interior angles of the polygon?
(1) The sum of the exterior angles of the polygon is 360∘.
(2) The sum of the exterior angles is equal to five times the total length of all of the spokes used.
(1) The sum of the exterior angles of the polygon is 360∘.
(2) The sum of the exterior angles is equal to five times the total length of all of the spokes used.
Answer: Option A. -> IF statement (1) alone is sufficient, but statement (2) is not or If Statement (2) alone is sufficient but statement (1) is not
:
A
The sum of the exterior angles of any polygon is 360∘. Hence, statement is of no use to us
From statement 2-
The sum of the exterior angles = 5 × length of each spoke × number of spokes.
360 = 5(8)(x)
360 = 40x
9 = x
The game board has nine sides. The sum of its interior angles is (9 - 2)(180) = 1260. Statement 2 alone is sufficient
:
A
The sum of the exterior angles of any polygon is 360∘. Hence, statement is of no use to us
From statement 2-
The sum of the exterior angles = 5 × length of each spoke × number of spokes.
360 = 5(8)(x)
360 = 40x
9 = x
The game board has nine sides. The sum of its interior angles is (9 - 2)(180) = 1260. Statement 2 alone is sufficient
Answer: Option D. -> if the question cannot be answered
:
D
Option d
I. Let R & S be the ages of Ram & Shyam respectively.
Age of Ram 5 years back = R - 5 & Shyam = S - 5
(R - 5) + (S - 5) = 60 or R + S = 70 ...(1)
Hence, I alone is not sufficient.
II. Ages of Ram & Shyam fifteen years hence will be R + 15 & S + 15
(R + 15) + ( S + 15) = 100
R + S = 70 .....(2)
Hence, II alone is not sufficient .
Combining I & II,
We are getting the same equation in both case, hence we cannot conclude what are the ages of Ram & Shyam.
:
D
Option d
I. Let R & S be the ages of Ram & Shyam respectively.
Age of Ram 5 years back = R - 5 & Shyam = S - 5
(R - 5) + (S - 5) = 60 or R + S = 70 ...(1)
Hence, I alone is not sufficient.
II. Ages of Ram & Shyam fifteen years hence will be R + 15 & S + 15
(R + 15) + ( S + 15) = 100
R + S = 70 .....(2)
Hence, II alone is not sufficient .
Combining I & II,
We are getting the same equation in both case, hence we cannot conclude what are the ages of Ram & Shyam.
Answer: Option D. -> Mahesh
:
D
(d) Mahesh
:
D
(d) Mahesh