If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
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.
5.
What is the two-digit number?
I.
The difference between the two-digit number and the number formed by interchanging the digits is 27.
II.
The difference between the two digits is 3.
III.
The digit at unit's place is less than that at ten's place by 3.
A.
I and II only
B.
I and III only
C.
All I, II and III
D.
I, and either II or III
E.
Even with all I, II and III, answer cannot be give.
Answer: Option E
Explanation:
Let the tens and units digit be x and y respectively.
I. (10x + y) - (10y + x) x - y = 3.
II. x - y = 3.
III. x - y = 3.
Thus, even all the given three statements together do not give the answer.
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
A.
24
B.
27
C.
40
D.
Cannot be determined
E.
None of these
Answer: Option A
Explanation:
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
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 Sonia's present age?
I.
Sonia's present age is five times Deepak's present age.
II.
Five years ago her age was twenty-five times Deepak's age at that time.
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. S = 5D D =
S
....(i)
5
II. S - 5 = 25 (D - 5) S = 25D - 120 ....(ii)
Using (i) in (ii), we get S =
25 x
S
- 120
5
4S = 120.
S = 30.
Thus, I and II both together give the answer. So, correct answer is (E).
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.
10.
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.
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 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.
12.
What is the speed of the boat in still water?
I.
The speed downstream is 12 kmph.
II.
The speed upstream is 4 kmph.
III.
In a to and fro journey between two points, the average speed of the boat was 6 kmph.
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
A.
Rs. 6400
B.
Rs. 6500
C.
Rs. 7200
D.
Rs. 7500
E.
None of these
Answer: Option A
Explanation:
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).
Then,
x x 14 x 2
+
(13900 - x) x 11 x 2
= 3508
100
100
28x - 22x = 350800 - (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.
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 principal sum?
I.
The sum amounts to Rs. 690 in 3 years at S.I.
II.
The sum amounts to Rs. 750 in 5 years at S.I.
III.
The rate of interest is 5% p.a.
A.
I and III only
B.
II and III only
C.
I and II only
D.
I and III only, or II and III only
E.
Any two of the three
Answer: Option E
Explanation:
Clearly, any of the three will give us the answer.
How many times in a day, are the hands of a clock in straight line but opposite in direction?
A.
20
B.
22
C.
24
D.
48
Answer: Option B
Explanation:
The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).
So, in a day, the hands point in the opposite directions 22 times.
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
A.
564
B.
645
C.
735
D.
756
E.
None of these
Answer: Option D
Explanation:
We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Loading Test...
Required number (9999 - 399) = 9600.
y2 = 625.
x - y = 3.
