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 Data Sufficiency Questions

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Q:

What is the area of this plot ?  

I. The perimeter of the plot is 208 metres. 

II. The length is more than the breadth by 4 metres.  

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

The area of the plot can be determined from both I and II as follows .

Let the breadth of the plot be x metres Then, length = (x + 4) metres

Thus, perimeter s 208 metres  2(x + 4 + x) = 208 ,

                                             4x =200,  x = 50.

So. length =54 metres. breadth = 50 metres.

Area of the plot =  2700 m^2.

Hence, both I and II are required

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Q:

Four subjects — Physics, Chemistry, Mathematics and Biology were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ?  

I. Mathematics period ended at 10.00 a.m. which was preceded by Biology. 

II. Physics was scheduled in the last period. 

III. Mathematics period was immediately followed by Chemistry. 

A) Only I B) Only I or Only II
C) Only II D) I and II together or I and III together
 
Answer & Explanation Answer: D) I and II together or I and III together

Explanation:

From I and II. we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So. the Chemistry period began at 10.00 a.m. From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.  

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Q:

In the last month the company decided to increase the cost of its mixer by 10 percent. What is the present price of the mixer? 

I. The cost of mixer and juicer together was Rs 2850 a month ago. 

II. The amount of 10% increase on the mixer comes to Rs 220. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

The present price of the mixer can he calculated from statement II as follows

Let the earlier price be Rs x.

Then, 10% of x = 220 or x = 2200. Present price = Rs (2200 + 220) = Rs 2420.

So, only II is needed. 

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Q:

Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest ? 

I. Vipul is younger than Mukul but older than Siddhartha and Nikunj. 

II. Mukul is the oldest. 

III. Siddhartha is older than Nikuw. 

A) Only I B) I and II together
C) II and III together D) I and III together
 
Answer & Explanation Answer: D) I and III together

Explanation:

From I, we have : M>V, V> S, V > N.

From II. we have : Mukul is the oldest.

From 111, we have : S > N Combining (I) and (III) we get : M> V, V >S>N or M > V> S > N.

Clearly, Nikunj is the youngest. 

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Q:

Each boy contribute rupees equal to the number of girls and each girl contribute rupees equal to the number of boys in a class of 60 students. If the total contribution collected is Rs.1600,how many girls are there in the class ?

A) 30 B) 25
C) 15 D) 40
 
Answer & Explanation Answer: D) 40

Explanation:
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Exam Prep: CAT

13 5389
Q:

Total money with Naresh and Ajay is 28 percent of that with Usman. How much money is Ajay having ? 

I. Usman has got Rs 75000. 

II. The ratio of money of Naresh to money held by Ajay is 1: 3. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From 1, we find that 

Total money with Naresh and Ajay = Rs {(28/1OO)x 75000} = 21000. 

From II, we find that money with Ajay = Rs {(3/4) x 21000 } = 15750. 

So, both I and II art required 

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Q:

Pradeep correctly remembers that his mother's is before twenty third February but after ninteenth February, whereas his brother correctly remembers that their mother's birthday is not on or after twentysecond February. On which day in February is definitely their mother's birthday ?

A) 20 or 21 B) 20
C) 21 D) None
 
Answer & Explanation Answer: A) 20 or 21

Explanation:

According to Pradeep : 20,21 or 22...(1)
According to his brother : not 22....(2)
From (1)&(2), the birthday falls on February 20 or 21.

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Q:

 The Chairman of a big company visits one department on Monday of every week except for the Monday of third week of every month. When did he visit the Purchase department ? 

  I. He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion. 

  II. He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: A) If the data in statement I alone are sufficient to answer the question

Explanation:

From statement I. we can conclude that the Chairman visited Purchase department on Monday of the first week of September. So, I alone is sufficient, The time of visit of no department is mentioned in II. which is, therefore, insufficient 

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