A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
A.
3
B.
5
C.
9
D.
11
Answer: Option D
Explanation:
Let the ten's digit be x and unit's digit be y.
Then, number = 10x + y.
Number obtained by interchanging the digits = 10y + x.
(10x + y) + (10y + x) = 11(x + y), which is divisible by 11.
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
A.
6 hours
B.
10 hours
C.
15 hours
D.
30 hours
Answer: Option C
Explanation:
Suppose, first pipe alone takes x hours to fill the tank .
Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank.
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
A.
10
B.
12
C.
14
D.
16
Answer: Option C
Explanation:
Part filled in 2 hours =
2
=
1
6
3
Remaining part =
1 -
1
=
2
.
3
3
(A + B)'s 7 hour's work =
2
3
(A + B)'s 1 hour's work =
2
21
C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
11.
At what time will the train reach city X from city Y?
I.
The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.
II.
The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.
III.
The 200 metres long train crosses a signal pole in 10 seconds.
A.
I only
B.
II only
C.
III only
D.
II and III only
E.
All I, II and III are required.
Answer: Option D
Explanation:
From the statement I, we get length of the train is 200 metres (Redundant info while comparing with Statement III). The rest of the info given in this statement cannot be used for calculating the speed of the train, because the two trains might run at different speed.
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.
The area of playground is 1600 m2. What is the perimeter?
I.
It is a perfect square playground.
II.
It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.
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:
Area = 1600 m2.
I. Side = 1600 m = 40 m. So, perimeter = (40 x 4) m = 160 m.
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
14.
What is the area of the hall?
I.
Material cost of flooring per square metre is Rs. 2.50
II.
Labour cost of flooring the hall is Rs. 3500
III.
Total cost of flooring the hall is Rs. 14,500.
A.
I and II only
B.
II and III only
C.
All I, II and III
D.
Any two of the three
E.
None of these
Answer: Option C
Explanation:
I. Material cost = Rs. 2.50 per m2
II. Labour cost = Rs. 3500.
III. Total cost = Rs. 14,500.
Let the area be A sq. metres.
Material cost = Rs. (14500 - 3500) = Rs. 11,000.
5A
= 11000 A =
11000 x 2
= 4400 m2.
2
5
Thus, all I, II and III are needed to get the answer.
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ab = 10.
The required answer = 26.
A =
CD.