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) 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
The correct answers to the above question in:
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.
Discuss Form
Read more question and answers set 4 Based Verbal Reasoning Questions and Answers
Question : 1
Who is paternal uncle of P ?
(I) P is brother of L, who is daughter of Q, who is sister of N, who is brother of S.
(II) M is brother of K, who is husband of L, who is mother of G, who is sister of 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: (b)
From (I) : Q (F) - N (M) - S
(daughter)
P (M) - L (F)
N is maternal uncle of P.
From (II) : (M) M - K (M) - L (F)
daughter (F)
G(F) - P
M is the paternal uncle of P
Hence we can give the answer using either statement alone.
Question : 2
Is g – h > 0?
(I) g > h
(II) $g^2 > h^2$
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) ⇒ g – h > 0
∴ (I) is sufficient to answer the question.
(II) ⇒ $g^2$ is greater than $h^2$ , but g may not be greater than h. (For example, g might be –3 and h might be 2). Hence, (II) alone is not sufficient to answer the question.
Question : 3
Who scored highest among A, B, C, D and E?
(I) B scored more than D, but not as much as C.
(II) E scored more than C, but not more than A.
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) ⇒ C > B > D
(II) ⇒ A > E > C
Combining both, we get A > E > C > B > D
Hence both statements together are necessary.
Question : 4
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 : 5
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 : 6
What is the value of m – n ÷ 37?
(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
Answer »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 .
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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