Data Sufficiency section 4 MCQ Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 5 EXERCISES
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
The following question based on Data Sufficiency topic of verbal reasoning
(I) m is the largest possible six-digit number and n is the smallest possible six-digit number.
(II) The diffierence between m and n is known.
(a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
(b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
(c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
(d) EACH statement ALONE is sufficient
The correct answers to the above question in:
Answer: (c)
(I) ⇒ m = 999999, n = 100000
∴ We can find the value of m – 7 ÷ 37
(II) ⇒ m – n = known, but neither the value of 'm' is known nor the value of 'n' is known. So, we cannot find the values of m – n ÷ 37 .
Discuss Form
Read more question and answers set 4 Based Verbal Reasoning Questions and Answers
Question : 1
In ΔABC, find r if AB = 5 and q = 40°
(I) BC = 5
(II) r > p
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (a)
(I) ⇒ BC = 5 = AB
⇒ p = q = 40°
⇒ r = 180° – (40 + 40)
Hence, r can be determined by using (I) alone.
(II) ⇒ it is not sufficient to answer the question.
Question : 2
3 person were given certain calculations to perform. The calculations were 1 + 1, 1 +1+2, and 1 +2. Their respective answers were 3,3 and 2. How many of them are mathematicians
(I) Mathematicians can never add two numbers correctly, but they add three numbers correctly
(II) Whenever the mathematicians add two numbers there is a mistake of +1 or -1
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (d)
From the first statement it gives that mathematician can never add 2 number correctly, but it is quite possible that apart from mathematician, others can also do the same mistake. The same logic is applied for the second statement as mathematician is given. If it is only mathematician then we can answer with the help of both the statements.
Question : 3
N is an integer between 1 and 93. What is the value of N?
(I) N is both the square of an integer and the cube of an integer.
(II) The square root of N is divisible by 8.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (d)
(I) ⇒ N = 64 (∵ only 64 is both the square of an integer and the cube of an integer)
∴ Statement (I) alone is sufficient to answer the question.
(II) ⇒ N = 64. ∴ Statement (II) alone is sufficient to answer the question.
Question : 4
Is $(x^2 – y^2)$ an odd number ?
(I) x and y are integers.
(II) x y + is an odd number.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (b)
From I, we cannot say that $(x^2 – y^2)$ is odd or even.
Statement (II) ⇒ x + y is odd ⇒ x is even and y is odd or vice versa.
⇒ x - y is odd ⇒ $(x^2 - y^2)$ is odd
Question : 5
A bag contains coins of one-rupee, 50 -paise and 25–paise denominations. The total amount in the bag is Rs.500 . To find the total number of 50–paise coins, which of the following information is sufficient?
(I) The number of the coin is in the ratio 3 : 4 : 5.
(II) The number of one rupee–coins is one– fourth the total number of coins in the bag.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (c)
(I) ⇒ 3x + 4x (0.50) + 5x (0.25) = 500
⇒ 6.25x = 500 ⇒ x = 80
∴ The total number of 50-paise coins = 4x = 320
But we can't be solved the question using statement (II).
Hence statement (I) alone is sufficient to answer the question.
Question : 6
What is the value of x ?
(I) 2x + 4 =14
(II) x + y = 7
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
c) Statement(I) ALONE is sufficient, but statement (II) alone is not sufficient.
d) EACH statement ALONE is sufficient
Answer »Answer: (c)
We can find the value of x using the statement (I) alone. While statement (II) alone are not sufficient to answer the question.
GET Data Sufficiency PRACTICE TEST EXERCISES
Data Sufficiency section 1 MCQ
Data Sufficiency section 2 MCQ
Data Sufficiency section 3 MCQ
Data Sufficiency section 4 MCQ
Data Sufficiency section 5 MCQ
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