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## Home Bank Exams / Quantitative Aptitude Data sufficiency Questions and Answers

1 . In the following 15 questions there is a question followed by two statements I and II. Use the data given in statements I and II together with other facts of common knowledge to decide whether the statements are sufficient to answer the given question. Then choose the answer as
(a) if you can get the answer to the given question from statement I alone but not from II alone;
(b) if you can get the answer to the question from the statement II alone but not from I alone;
(c) if both I and II together are required to answer the given question and
(d) If more data is needed;
(e) If the data in statement-I alone or in statement II alone are needed.
How long will it take to travel from A and B ? It takes 4 hours to travel from A to B and back to A.
I. It takes 25% more time to travel from A to B than it does to travel from B to A
II. C is midway between A and B and it takes 2 hours to travel from A and C and back to A.
a
b
c
d
e
2 . In the following 15 questions there is a question followed by two statements I and II. Use the data given in statements I and II together with other facts of common knowledge to decide whether the statements are sufficient to answer the given question. Then choose the answer as
(a) if you can get the answer to the given question from statement I alone but not from II alone;
(b) if you can get the answer to the question from the statement II alone but not from I alone;
(c) if both I and II together are required to answer the given question and
(d) If more data is needed;
(e) If the data in statement-I alone or in statement II alone are needed.
A large corporation has 7000 employees. What is the average yearly wage of an employee in the corporation?
I. 4,000 of the employees are executives.
II. The total wage bill for the company each year is Rs. 77,000,000.
a
b
c
d
e
3 . In the following 15 questions there is a question followed by two statements I and II. Use the data given in statements I and II together with other facts of common knowledge to decide whether the statements are sufficient to answer the given question. Then choose the answer as
(a) if you can get the answer to the given question from statement I alone but not from II alone;
(b) if you can get the answer to the question from the statement II alone but not from I alone;
(c) if both I and II together are required to answer the given question and
(d) If more data is needed;
(e) If the data in statement-I alone or in statement II alone are needed.
What was Ram Gopal's income in 1990 ?
I. His total income for 1988, 1989 and 1990 was Rs 3,00,000.
II. He earned 20% more in 1989 than what he did in 1988.
a
b
c
d
e
4 . In the following 15 questions there is a question followed by two statements I and II. Use the data given in statements I and II together with other facts of common knowledge to decide whether the statements are sufficient to answer the given question. Then choose the answer as
(a) if you can get the answer to the given question from statement I alone but not from II alone;
(b) if you can get the answer to the question from the statement II alone but not from I alone;
(c) if both I and II together are required to answer the given question and
(d) If more data is needed;
(e) If the data in statement-I alone or in statement II alone are needed.
Is a number divisible by 9 ?
I. The number is divisible by 3.
II. The number is divisible by 27.
a
b
c
d
e
5 . In the following 15 questions there is a question followed by two statements I and II. Use the data given in statements I and II together with other facts of common knowledge to decide whether the statements are sufficient to answer the given question. Then choose the answer as
(a) if you can get the answer to the given question from statement I alone but not from II alone;
(b) if you can get the answer to the question from the statement II alone but not from I alone;
(c) if both I and II together are required to answer the given question and
(d) If more data is needed;
(e) If the data in statement-I alone or in statement II alone are needed.
Is a quadrilateral ABCD a square ?
I. A pair of adjacent sides are equal.
II. The angle enclosed by these equal adjacent sides is 90°
a
b
c
d
e
6 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
How much time will a computer need to solve 150 problems?
I. The computer needs 50 seconds to solve the first problem.
II. A man needs 6 hours to solve 150 problems.
a
b
c
d
e
7 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
What is the average profit per cow ?
I. The farmer had bought 6 cows for Rs.15,000.
II. The farmer sold 6 cows for 24,000.
a
b
c
d
e
8 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
If the river is flowing downstream @ 3 kilometres per hour, how long will it take Harish to row 10 kilometres upstream ?
I. He starts upstream at 10 a.m.
II. He rows @ 5 km/h.
a
b
c
d
e
9 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
How many students in 12th class received over 80 marks in the Maths test ?
I. The sum of all the marks of the class was 2400.
II. The class average in the test was 80 marks.
a
b
c
d
e
10 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
I. The radio now costs 5/6 of its former price.
II. After cutting the price of the radio, the store's profit has decreased by 1/2.
a
b
c
d
e
11 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
Ramesh worked 42 hours this week. How much did he earn?
I. Ramesh works 35 hours a week @ Rs.30 per hour.
II. Ramesh gets Rs.40 per hour for overtime work
a
b
c
d
e
12 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
A gold ring weighs 1 gram. The ring is not of pure gold but is mixed with copper. What is the value of the metal in the ring.
I. Gold is worth Rs.350 per gram.
II. 50% of the ring is due to copper.
a
b
c
d
e
13 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
What is the cost of two kg of apples ?
I. Ten apples weigh 2.1 kg on the average.
II. Ten kg of apples cost Rs.300.
a
b
c
d
e
14 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
How many tonnes of cement will be needed for the foundation of an apartment building ?
I. The entire building will require 5000 tonnes of cement.
II. The volume of the cement needed for the foundation is 1000 cubic yards.
a
b
c
d
e
15 . Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as :
(a) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question asked;
(b) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question asked;
(c) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficiented.
(d) if the statements I and II together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(e) If the statement-I alone or in statement-II alone are sufficient to answer.
On a certain auto race track, a car's average speed is 160 mph. What is the length of the track ?
I. On straight sections, cars can go @ 100 mph
II. Average lap time (once around the track) is 1 minute 4 seconds.
a
b
c
d
e
16 . Each of the questions below is followed by two statements labelled I and II, in which certain data is given. You have to decide whether the data given in the statements are sufficient to answer the question. Using the data given, together with your everyday knowledge, choose.
(a) if statement I alone is sufficient but statement II alone is not sufficient to answer the question;
(b) if statement II alone is sufficient but statement I alone is not sufficient to answer the questions;
(c) if both the statements I and II together are sufficient to answer the question but neither statement by alone is sufficient to answer the question and
(d) if I and II together are not sufficient to answer the question and additional information is required
(e) if the statement-I alone or statement-II alone are sufficient to answer.
What was the combined average attendance per game at the Jawaharlal Nehru Stadium for the months of June and July ?
I. The total attendance of the month of June was 23,100 and the total attendance for the month of July was 25,200.
II. There were 20 games played in June and 22 games played in July ?
a
b
c
d
e
17 . Each of the questions below is followed by two statements labelled I and II, in which certain data is given. You have to decide whether the data given in the statements are sufficient to answer the question. Using the data given, together with your everyday knowledge, choose.
(a) if statement I alone is sufficient but statement II alone is not sufficient to answer the question;
(b) if statement II alone is sufficient but statement I alone is not sufficient to answer the questions;
(c) if both the statements I and II together are sufficient to answer the question but neither statement by alone is sufficient to answer the question and
(d) if I and II together are not sufficient to answer the question and additional information is required
(e) if the statement-I alone or statement-II alone are sufficient to answer.
Did Jayalalitha receive more than 40% of the 30,000 votes cast in an election ?
a
b
c
d
e
18 . Each of the questions below is followed by two statements labelled I and II, in which certain data is given. You have to decide whether the data given in the statements are sufficient to answer the question. Using the data given, together with your everyday knowledge, choose.
(a) if statement I alone is sufficient but statement II alone is not sufficient to answer the question;
(b) if statement II alone is sufficient but statement I alone is not sufficient to answer the questions;
(c) if both the statements I and II together are sufficient to answer the question but neither statement by alone is sufficient to answer the question and
(d) if I and II together are not sufficient to answer the question and additional information is required
(e) if the statement-I alone or statement-II alone are sufficient to answer.
A certain bookshop sold 92 copies of Bill Gates' book 'Business at the Speed of Thought' during the first day. What per cent of his book did sell on that day ?
I. The total number of books with this title on stock is 230.
II. There are a total of 1000 books in the store
a
b
c
d
e
19 . Each of the questions below is followed by two statements labelled I and II, in which certain data is given. You have to decide whether the data given in the statements are sufficient to answer the question. Using the data given, together with your everyday knowledge, choose.
(a) if statement I alone is sufficient but statement II alone is not sufficient to answer the question;
(b) if statement II alone is sufficient but statement I alone is not sufficient to answer the questions;
(c) if both the statements I and II together are sufficient to answer the question but neither statement by alone is sufficient to answer the question and
(d) if I and II together are not sufficient to answer the question and additional information is required
(e) if the statement-I alone or statement-II alone are sufficient to answer.
How much weight did Sheela lose within the first one week of her dieting ?
I. She lost 300 g per day during the first month.
II. She lost 250 g per day during the second month.
a
b
c
d
e
20 . Each of the questions below is followed by two statements labelled I and II, in which certain data is given. You have to decide whether the data given in the statements are sufficient to answer the question. Using the data given, together with your everyday knowledge, choose.
(a) if statement I alone is sufficient but statement II alone is not sufficient to answer the question;
(b) if statement II alone is sufficient but statement I alone is not sufficient to answer the questions;
(c) if both the statements I and II together are sufficient to answer the question but neither statement by alone is sufficient to answer the question and
(d) if I and II together are not sufficient to answer the question and additional information is required
(e) if the statement-I alone or statement-II alone are sufficient to answer.
What marks have been obtained by Akshay ?
I. Akshay's marks are the average of marks of Namita and Mona.
II. Namita obtained 80 marks and this is 33% more than the marks obtained by Mona.
a
b
c
d
e
21 . Each of the question below has two statements, I and II. Mark your answer as :
(a) if statement I is True, but not the other one;
(b) if the statement II is True, but not the other one;
(c) if both the statements are True and
(d) if neither of the statements is True.
(e) if the statement-I or statement-II are true.
In a certain Management Institute if 50 per cent of persons who inquire about admission policies actually submit applications for admission, then what per cent of those who submit applications for admission enrol in the MBA course?
I. 15 per cent of those who submit applications for admission are accepted for admission.
II. 80 per cent of those who are accepted, deposit fees for joining the course.
a
b
c
d
e
22 . Each of the question below has two statements, I and II. Mark your answer as :
(a) if statement I is True, but not the other one;
(b) if the statement II is True, but not the other one;
(c) if both the statements are True and
(d) if neither of the statements is True.
(e) if the statement-I or statement-II are true.
If n is an integer between 2 and 100 and if n is also the square of an integer, then what is the value of n?
I. n is the cube of an integer.
II. n is even.
a
b
c
d
e
23 . Each of the question below has two statements, I and II. Mark your answer as :
(a) if statement I is True, but not the other one;
(b) if the statement II is True, but not the other one;
(c) if both the statements are True and
(d) if neither of the statements is True.
(e) if the statement-I or statement-II are true.
Was 70 the average grade in a class test ?
II. The lowest grade in the test was 45 and the highest grade in the test was 95.
a
b
c
d
e
24 . Each of the question below has two statements, I and II. Mark your answer as :
(a) if statement I is True, but not the other one;
(b) if the statement II is True, but not the other one;
(c) if both the statements are True and
(d) if neither of the statements is True.
(e) if the statement-I or statement-II are true.
Each students in a class of 40 students voted for exactly one of the 3 candidates A, B or C for the post of the class representative. Did candidate A receive the most votes from the 40 votes cast?
a
b
c
d
e
25 . Each of the question below has two statements, I and II. Mark your answer as :
(a) if statement I is True, but not the other one;
(b) if the statement II is True, but not the other one;
(c) if both the statements are True and
(d) if neither of the statements is True.
(e) if the statement-I or statement-II are true.
A rectangular floor that is 4 metres wide is to be completely covered with square tiles each with side of length 0.25 metres with no portion of such tiles that will be required ?
I. The length of the floor is three times its width.
II. The area of the floor is 48 square metres.
a
b
c
d
e
26 . Each of the item below has a question followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and mark answer as
(a) 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;
(b) 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;
(c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.and
(d) if the data given in both the statements I and II together are not sufficient to answer the question.
(e) if both the statement-I and statement-II together are sufficient to answer.
How much minimum marks will be required to pass an examination ?
I. Student A secured 32% marks in that examination and he failed by 1 mark. Student B secured 36% marks in the same examination and his marks were 1 more than the minimum pass marks
II. Student A secured 30% of full marks in the examination and he failed by 2 marks. If he had secured 5 more marks his percentage of marks would have been 40%.
a
b
c
d
e
27 . Each of the item below has a question followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and mark answer as
(a) 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;
(b) 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;
(c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.and
(d) if the data given in both the statements I and II together are not sufficient to answer the question.
(e) if both the statement-I and statement-II together are sufficient to answer.
X, Y and Z are integers. Is X an odd number ?
I. An odd number is obtained when X is divided by 5.
II. (X + Y) is an odd number.
a
b
c
d
e
28 . Each of the item below has a question followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and mark answer as
(a) 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;
(b) 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;
(c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.and
(d) if the data given in both the statements I and II together are not sufficient to answer the question.
(e) if both the statement-I and statement-II together are sufficient to answer.
What selling price should be marked on an article?
I. Discount of 5% is to be given and profit percentage should be double the discount. Purchase cost is in the range of Rs.300 - Rs.400.
II. 10% discount is to be allowed and 15% profit is to be obtained on the purchase cost of 200 of the article.
a
b
c
d
e
29 . Each of the item below has a question followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and mark answer as
(a) 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;
(b) 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;
(c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.and
(d) if the data given in both the statements I and II together are not sufficient to answer the question.
(e) if both the statement-I and statement-II together are sufficient to answer.
What is the height of a right-angled triangle ?
I. The area of the right-angled triangle is equal to the area of a rectangle whose breadth is 12 cm.
II. The length of the rectangle is 18 cm.
a
b
c
d
e
30 . Each of the item below has a question followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and mark answer as
(a) 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;
(b) 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;
(c) if the data either in statement I alone or in statement II alone are sufficient to answer the question.and
(d) if the data given in both the statements I and II together are not sufficient to answer the question.
(e) if both the statement-I and statement-II together are sufficient to answer.
A, B and C are integers. Is B an even number ?
I. (A + B) is an odd number.
II. (C + B) is an odd number.
a
b
c
d
e