Data Sufficiency section 4 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
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.
Question : 2
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 : 3
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 : 4
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 .
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.
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