Data Sufficiency section 5 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) 1/4 of 20 percent of x is 5
(II) 4x = S, 5y = S and y = 80
(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) ⇒ $1/4$ of 20% of x = 5 ⇒ 20% of x = 20
(II) ⇒ S = 400 ⇒ x = 100 ⇒ 20% of x = 20
∴ Each statement alone is sufficient.
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Read more question and answers set 5 Based Verbal Reasoning Questions and Answers
Question : 1
H.C.F. of two numbers is 23. Find the smaller of the two numbers.
(I) The product of the two numbers is 6348.
(II) The L.C.M. of the two numbers is 276.
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)
Let the number be 23x and 23y
∵ Product of two numbers = Product of their HCF & LCM
∴ (I) & (II) imply the same thing i.e. xy = 12
Now possible value of x & y for which xy is 12 are (1, 12), (2, 6) & (3, 4). Hence we can find the smaller of two numbers by using either statement alone.
Question : 2
A, B and C are positive integers. Is their product an even number?
(I) A is an even number.
(II) The product of A and B is an even number and that of A and C is also an even 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: (d)
Since the product of any numbers is an even number if and only if at least one of them is an even number. Now,
(I) ⇒ A is an even number ⇒ Product of A, B, C is even.
(II) ⇒ A × B is an even number and A × C is also an even number.
⇒ at least one of them (A, B, C) is even
⇒ their product is an even number.
∴ Each statement alone is sufficient to answer the question.
Question : 3
What are the dimensions of a certain rectangle ?
(I) The perimeter of the rectangle is 14.
(II) The diagonal of the rectangle is 5.
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) ⇒ 2x + 2y = 14 or x + y = 17
(II) ⇒ $x^2 + y^2$ = 5
We can find the dimensions of certain rectangle using both equation. Therefore, we need both the statements to find the value of x and y.
Question : 4
On which date in April was Varun born ?
(I) Varun's mother remembers that Varun was born before nineteenth but after fifteenth.
(II) Varun's sister remembers that Varun was born before seventeenth but after twelfth.
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) ⇒ Varun's birthday is on 16th, 17th or 18th April.
(II) ⇒ Varun' s birthday may be 13th, 14th, 15th or 16th April.
From (I) and (II) : Varun's birthday is on 16th April.
Question : 5
Is $√x$ = 11 ?
(I) Square of 11 is not equal to x.
(II) Square of $√x$ is not equal to the square of 11.
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) ⇒ x ≠ $11^2$ ⇒ $√x$ ≠ 11
(II) ⇒ $(√x)^2 ≠ 11^2 ⇒ √x ≠ 11$
Hence, each statement alone is 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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