Level 1- Data Sufficiency Practice Quiz 1- Easy

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.

1. What is the value of the two-digit number?

Statement I : The sum of the digits at unit’s place and tenth’s place is 13.

Statement II : When the digits are interchanged then the number obtained is 45 larger than the original number.

A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C Either Statement I or Statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

E

Let the two-digit number = ab = 10a + b

From the statement, I, we can conclude that, a + b = 13 

From the statement II, we can conclude that, 10b + a = 10a + b + 45 

9(b – a) = 45 

If we solve the both the equation then we can get our answer as 49 

Therefore, the data in both the statements I and II together is necessary to answer the question

Hence, option E is correct.

2. Can a water tank of 2500 litres capacity be filled by two inlet pipes A and B together in less than 8 hours?

Statement I : If pipe A is opened alone then it takes 12 hours to fill the tank.

Statement II : Pipe B can fill 1 litres of water per minute.

A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C Either Statement I or Statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

Correct Option: E
From the statement I, the efficiency of pipe A per hour

= 2500/12 = 625/3 litres per hour
From the statement II, the efficiency of pipe B = 1 × 60 = 60 litres per hour

Pipe A and B together will fill in 1 hour

= 625/3 + 60 = 805/3 litres per hour
The time it will take to fill 2500 litres of water = more than 8 hours, therefore the answer will be no

Therefore, the data in both the statements I and II together are necessary to answer the question

Hence, option E is correct.

3. How much time will Ram take to cover a distance of 100 km at a uniform speed?

Statement I : The speed of Mohan is 10 km per hour more than that of Ram.

Statement II : If Mohan increases his speed by 25% then he takes 3 hours 20 minutes less to cover a distance of 500 km.
A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C Either Statement I or Statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

Correct Option: E
Let the speed of ram = x km per hour

Then the speed of Mohan = y km per hour

From the statement I, y = x + 10

From the statement II, we can find the value of y as 30 , so speed of Mohan is 30 km per hour

By combining both the statement, we can get the value of x as well which is 20 km per hour

So Ram will take 5 hours to cover 100km at a speed of 20 km per hour

Hence, option E is correct.

 

4. What is the sum of x and y?

Statement I : 15x + 4y = 108

Statement II : y = 27 – 3.75x
A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C Either Statement I or Statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

Correct Option: D
From the statement I, 15x + 4y = 108 —– (i)

From the statement II, y = 27 – 3.75x

4y + 15x = 108 —– (ii)

Here, both the equations are same it means we have two variable and one equation therefore we could not conclude the value of two variable from one equation.

Therefore, the data in both the statements I and II is not sufficient to answer the question.

Hence, option D is correct.

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