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 average age of children in the class?
I.
The age of the teacher is as many years as the number of children.
II.
Average age is increased by 1 year if the teacher's age is also included.
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 there be x children.
I gives, age of teacher = x years.
II gives, average age of (x + 1) persons = (x + 1) years.
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.
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.
A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A.
Rs. 8400
B.
Rs. 11,900
C.
Rs. 13,600
D.
Rs. 14,700
Answer: Option D
Explanation:
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
A.
Rs. 45
B.
Rs. 50
C.
Rs. 55
D.
Rs. 60
Answer: Option A
Explanation:
A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.
Onethird of Rahul's savings in National Savings Certificate is equal to onehalf of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
A.
Rs. 30,000
B.
Rs. 50,000
C.
Rs. 60,000
D.
Rs. 90,000
Answer: Option C
Explanation:
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000  x) respectively. Then,
1
x =
1
(150000  x)
3
2
x
+
x
= 75000
3
2
5x
= 75000
6
x =
75000 x 6
= 90000
5
Savings in Public Provident Fund = Rs. (150000  90000) = Rs. 60000
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 is the difference between the present ages of Ayush and Deepak?
I.
The ratio between Ayush's present age and his age after 8 years 4 : 5.
II.
The ratio between the present ages of Ayush and Deepak is 4 : 3.
III.
The ratio between Deepak's present age and his age four years ago is 6 : 5.
A.
Any two of I, II and III
B.
I or III only
C.
Any one of the three
D.
All I, II and III are required
E.
Even with all I, II and III, the answer cannot be obtained.
Answer: Option A
Explanation:
Clearly, any two of the given statements will give the answer and in each case, the third is redundant.