Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A.
1 : 3
B.
3 : 2
C.
3 : 4
D.
None of these
Answer: Option B
Explanation:
Let the speeds of the two trains be x m/sec and y m/sec respectively.
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).
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.
9.
How much time will the leak take to empty the full cistern?
I.
The cistern is normally filled in 9 hours.
II.
It takes one hour more than the usual time to fill the cistern because of la leak in the bottom.
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. Time taken to fill the cistern without leak = 9 hours.
Part of cistern filled without leak in 1 hour =
1
9
II. Time taken to fill the cistern in presence of leak = 10 hours.
Net filling in 1 hour =
1
10
Work done by leak in 1 hour =
1
-
1
=
1
9
10
90
Leak will empty the full cistern in 90 hours.
Clearly, both I and II are necessary to answer the question.
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
A.
3
B.
5
C.
7
D.
Cannot be determined
E.
None of these
Answer: Option C
Explanation:
1 woman's 1 day's work =
1
70
1 child's 1 day's work =
1
140
(5 women + 10 children)'s day's work =
5
+
10
=
1
+
1
=
1
70
140
14
14
7
5 women and 10 children will complete the work in 7 days.
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
A.
75
B.
81
C.
85
D.
89
Answer: Option C
Explanation:
Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
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.
18.
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.
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?
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.
20.
What will be the ratio between ages of Sam and Albert after 5 years?
I.
Sam's present age is more than Albert's present age by 4 years.
II.
Albert's present age is 20 years.
III.
The ratio of Albert's present age to Sam's present age is 5 : 6.
A.
Any two of I, II and III
B.
II only
C.
III only
D.
I or III only
E.
II or III only
Answer: Option A
Explanation:
Clearly, any two of the given statements will give the answer and in each case, the third is redundant.
Loading Test...
n(E) = 5C3 = 5C2 =
27x + 17y = 23x + 23y
A =
