Data Sufficiency section 5 MCQ Practice Questions Answers Test with Solutions & More Shortcuts
Data Sufficiency PRACTICE TEST [5 - 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
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
Question : 1
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.
Question : 2
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 : 3
What is the value of 20 percent of x ?
(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
Answer »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.
Question : 4
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 : 5
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.
IMPORTANT verbal reasoning EXERCISES
Data Sufficiency section 5 MCQ Online Quiz
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