Data Sufficiency section 5 MCQ Practice Questions Answers Test with Solutions & More Shortcuts

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: (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: (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: (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: (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: (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

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »

Mensuration Aptitude Practice Mcq Questions IBPS Clerk 2024

Most Important Practice Mensuration aptitude multiple choice questions, answers with detailed solutions, PDF beginner to advanced for IBPS Clerk Prelims 2024

11-May-2024 by Careericons

Continue Reading »

Top Clock Aptitude Questions and Answers PDF IBPS Clerk 2024

Recent Important IBPS Clerk Prelims 2024 Aptitude Clock MCQ Questions and answers with easy and logical explanation, PDF. Topic wise Free online practice test

10-May-2024 by Careericons

Continue Reading »