A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
A.
40
B.
50
C.
54
D.
60
Answer: Option D
Explanation:
(A + B)'s 20 day's work =
1
x 20
=
2
.
30
3
Remaining work =
1 
2
=
1
.
3
3
Now,
1
work is done by A in 20 days.
3
Therefore, the whole work will be done by A in (20 x 3) = 60 days.
A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
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.
6.
By selling a product with 20% profit, how much profit was earned?
I.
The difference between cost and selling price is Rs. 40.
II.
The selling price is 120 percent of the cost price.
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:
Gain = 20%
I. Profit = (S.P.)  (C.P.) = Rs. 40.
Thus, I give the answer. But, II does not give the answer.
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.
7.
What is the length of a running train?
I.
The train crosses a man in 9 seconds.
II.
The train crosses a 240 metre long platform in 24 seconds.
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:
Time taken by train to cross a man =
Length of train
Speed =
l
....(i)
Speed of train
9
Time taken by train to cross a platform =
(Length of train + Length of platform)
Speed =
l + 240
....(ii)
Speed of train
24
From (i) and (ii), we get
l
=
l + 240
.
9
24
Thus, l can be obtained. So both I and II are necessary to get the answer.
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A.
12 sec
B.
24 sec
C.
48 sec
D.
60 sec
Answer: Option B
Explanation:
Relative speed =
= (45 + 30) km/hr
=
75 x
5
m/sec
18
=
125
m/sec.
6
We have to find the time taken by the slower train to pass the DRIVER of the faster train and not the complete train.
So, distance covered = Length of the slower train.
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.
11.
What is the twodigit number?
I.
The difference between the two digits is 9.
II.
The sum of the digits is equal to the difference between the two digits.
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:
Let the tens and unit digits be x and y respectively. Then,
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
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.
13.
How long will Machine Y, working alone, take to produce x candles?
I.
Machine X produces x candles in 5 minutes.
II.
Machine X and Machine Y working at the same time produce x candles in 2 minutes.
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:
I. gives, Machine X produces
x
candles in 1 min.
5
II. gives, Machine X and Y produce
x
candles in 1 min.
2
From I and II, Y produces
x

x
=
3x
candles in 1 min.
2
5
10
3x
candles are produced by Y in 1 min.
10
x candles will be produced by Y in
10
x x
min =
10
min.
3x
3
Thus, I and II both are necessary to get the answer.