Time and Distance - Data Sufficiency 1
Directions to Solve
Each of the questions given below consists of a
statement and / or a question and two statements numbered I and II given below
it. You have to decide whether the data provided in the statement(s) is / are
sufficient to answer the given question. Read the both statements and
·
Give answer (A) if the data in Statement I alone
are sufficient to answer the question, while the data in Statement II alone are
not sufficient to answer the question.
·
Give answer (B) if the data in Statement II alone
are sufficient to answer the question, while the data in Statement I alone are
not sufficient to answer the question.
·
Give answer (C) if the data either in Statement I
or in Statement II alone are sufficient to answer the question.
·
Give answer (D) if the data even in both Statements
I and II together are not sufficient to answer the question.
·
Give answer(E) if the data in both Statements I and
II together are necessary to answer the question.
1. Two towns are connected by railway. Can you find the distance between
them?
I.The speed of the mail train is 12 km/hr more than that of an express
train.
II.A mail train takes 40 minutes less than an express train to cover the
distance
A.I alone sufficient while II alone not sufficient
to answer
B.II alone sufficient while I alone not sufficient
to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
E.Both I and II are necessary to answer
Answer: Option-D
Explanation:
Let the distance between the two
stations be x km.
I.
Then, speed of the mail train = (y + 12) km/hr.
II.
x/y – x/(y+12) = 40/60
Thus,even I AND II together do not give x.
So correct answer is – D
2. The towns A, B and C are on a straight line. Town
C is between A and B. The distance from A to B is 100 km. How far is A from C?
I.The distance from A to B is 25% more than the
distance from C to B.
II.The distance from A to C is 1/4 of the distance C to B.
A,.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
E.Both I and II are necessary to answer
Answer: Option-C
Explanation:
LET AC = x km. then , CB = (100-X) KM
.
I.
AB=125 % OF CB
100 = 125/100 X(100-X)
100-X = 100X100
/125 =80
X =20KM
SO AC =20KM
THUS, I alone gives
the answer.
ii. AC= ¼ (100-x)
5x = 100
X = 20.
So AC= 20 km.
Thus ii. Alone gives the answer.
So correct answer is – C
3. Two cars pass each other in opposite direction.
How long would they take to be 500 km apart?
I.The sum of their speeds is 135 km/hr.
II.The difference of their speed is 25 km/hr.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
E.Both I and II are necessary to answer
Answer: Option-A
Explanation:
I gives,
relative speed = 135 km/hr.
SO TIME
taken = 500/135 hrs.
II does
not give the relative speed.
I
alone gives the answer and II is irrelevant.
Correct
answer is (A).
4. How much time did X take to reach the destination?
i.The ratio between the speed of X and Y is 3 : 4
ii.Y takes 36 minutes to reach the same destination
A.I alone sufficient while II
alone not sufficient to answer
B.II alone sufficient while I
alone not sufficient to answer
C.Either I or II alone sufficient
to answer
D.Both I and II are not
sufficient to answer
E.Both I
and II are necessary to answer
Answer: Option-E
Explanation:
Since
ratio of speed of X : Y is 3 : 4, then ratio of time will be 4 : 3.
I.
If Y takes 3 min, then X takes 4 min.
II. If Y takes 36 min, then X takes [4/3 X36]
min = 48 min
Thus, I
and II together give the answer.
Correct
answer is (E).