Quantitative Aptitude

Data Sufficiency 2

Quantitative Aptitude Exercise Mode

Data Sufficiency 2

Practice and master this topic with our carefully crafted questions.

4 Questions
6 Minutes
0% Completed
QUEST ? ✓ !
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

Question 1

What will be the sum of two numbers ?

I.   Among the two numbers, the bigger number is greater than the smaller number by 6.

II.  40% of the smaller number is equal to 30% of the bigger number.

III. The ratio between half of the bigger number and one-third of the smaller number is 2 : 1.

A
I and II only
B
II and III only
C
All I, II and III
D
Any two of the three
E
None of these
Correct Answer: Option A

Let the required number be X and Y, Where X > Y.

I. X - Y = 6 ----- (i)

II. 30X /100 = 40 Y /100

<=> 3X - 4Y = 0 ----- (ii)

III. (1/2 X) / (1/3Y) = 2/1

<=> X/Y = 4/3

Thus, I and II only give the answer.

∴ Correct answer is (A).

Question 2

What is the two-digit number ?

I.   Sum of the digits is 7.

II.  Difference between the number and the number obtained by interchanging the digit is 9.

III. Digit in the ten's place is bigger than the digit in the unit's place by 1.

A
I and II only
B
II and III only
C
I and III only
D
All I, II and III
E
None of these
Correct Answer: Option E

Let the tens and units digit be x and y respectively.

 I. x + y = 7.

II. (10x + y) - (10y + x) = 9       x - y = 1.

III. x - y = 1.

Thus, I and II as well as I and III give the answer.

Correct answer is (E).

Question 3

What is the two-digit number ?

I.   The difference between the two-digit number and the number formed by interchanging the digit is 27.

II.  The difference between the two digits is 3.

III. The digit at unit's place is less than that at ten's place by 3.

A
I and II only
B
I and III only
C
All I, II and III
D
I, and either II or III
E
Even with all I, II and III, answer cannot be give.
Correct Answer: Option E

Let the tens and units digit be x and y respectively.

 I. (10x + y) - (10y + x)       x - y = 3.

 II. x - y = 3.

III. x - y = 3.

Thus, even all the given three statements together do not give the answer.

Correct answer is (E).

Question 4

What is the sum of the digits of the two-digit number ?

I.   The ratio between the ten's digit and unit's digit of the number is 3 : 2.

II.  The number obtained on reversing the order of its digit is 18 less than the original number.

III. The product of the digits is 24.

A
Any two of the three
B
I only or II and III only
C
All I, II and III
D
I and II only
E
None of these
Correct Answer: Option A

I. Let the tens and units digit be 3X and 2X respectively.

II. (30X + 2X) - (20X + 3X) = 18

<=> X = 2

III. 3X x 2X = 24

<=> X2 = 4

<=> X = 2

Thus, any two of the three will give the answer.

∴ Correct answer is (A)