Data Sufficiency
Direction: 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 Read both the statements and give answer
- What is the cost of polishing the rectangular floor?
I. Room is 9 m long and 7 m wide.
II. Cost of polishing the floor of 10 m by 5 m is $ 112.50.
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On the basis of above given details in question ,
From statement I → Area of the room = L x B = 9 × 7 = 63 m2From statement II → Rate = Cost of polishing the floor Area of floor Correct Option: E
On the basis of above given details in question ,
From statement I → Area of the room = L x B = 9 × 7 = 63 m2From statement II → Rate = Cost of polishing the floor Area of floor Rate = 112.50 = 2.25 per m2 10 x 5
∴ Combining both the statements, cost of polishing the rectangular floor = 63 × 2.25 = $ 141.75.
- What selling price should be marked on the article?
I. Discount of 5% is to be given and profit percentage should be double the discount. Purchase cost is in the range of $ 300 to $ 400.
II. 10% discount is to be allowed and 15% profit is to be obtained on the purchase cost of $ 200 of the article.
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According to question ,
From statement I , → The fixed value of CP is not given, so SP of the article cannot be determined.
From statement II , → Let, K be SP of an articleCorrect Option: B
According to question ,
From statement I , → The fixed value of CP is not given, so SP of the article cannot be determined.
From statement II , → Let, K be SP of an articleK x 100 - 10 = 200 x ( 100 + 15 ) 100 100 K x 90 = 200 x 115 100 100 ∴ K= 200 x 115 = $ 255.55 90
Therefore , the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question .
- 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 difference between m and n is known.
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As per the given all details in above question , we have
From statement I ,As we know that Largest possible six digit number ( m ) = 999999, Smallest possible six digit number ( n ) = 1000000
∴ m − n ÷ 37 = 999999 − 1000000 ÷ 37
= 999999 − 2702.70 = 997296.30Correct Option: A
As per the given all details in above question , we have
From statement I ,As we know that Largest possible six digit number ( m ) = 999999, Smallest possible six digit number ( n ) = 1000000
∴ m − n ÷ 37 = 999999 − 1000000 ÷ 37
= 999999 − 2702.70 = 997296.30
From statement II , m − n = known, but neither the value of ‘m’ is known nor the value of ‘n’ is known. So, we cannot find the value of m − n + 37 by this statement.
Direction: In each of the following questions, a question is asked followed by three statements. You have to study the questions and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the questions.
- How much time will the train ‘X’ take to cross another train ‘Y’ running in opposite direction?
A. Train ‘X’ crosses a signal pole in 6 seconds.
B. Ratio of the speeds of trains ‘X’ and ‘Y’ is 3 : 2.
C. Length of the two trains together is 500 m.
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As per the given all details in above question ,
From statement A , Time taken by train‘X’ = 6 seconds
From statement B , Ratio of the speeds of trains ‘X’ and ‘Y’ = 3 : 2
Let speed of train X is 3k and speed of train Y is 2k.
Relative speed = 3k + 2k = 5k
From statement C , Length of the two trains = 500 m
Time taken = Length of the two trains / Relative speed = 500 / 5k = 100 / k seconds
Anyone of the three statements is not sufficient to answer the question. So, anyone is not suitable statements.Correct Option: E
As per the given all details in above question ,
From statement A , Time taken by train‘X’ = 6 seconds
From statement B , Ratio of the speeds of trains ‘X’ and ‘Y’ = 3 : 2
Let speed of train X is 3k and speed of train Y is 2k.
Relative speed = 3k + 2k = 5k
From statement C , Length of the two trains = 500 m
Time taken = Length of the two trains / Relative speed = 500 / 5k = 100 / k seconds
Anyone of the three statements is not sufficient to answer the question. So, anyone is not suitable statements.The question cannot be answered even with the information in all the three statements.
- What will be the cost of painting the four walls of a room with length, width and height 5 m, 3 m and 8 m respectively? The room has one door and one window.
A. Cost of painting per m2 is $ 25.00
B. Area of window of 2.25 m2 is half of the area of the door.
C. Area of the room is 15 m2.
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As per the given above question ,
Given , Length = 5 m , Width = 3 m and Height = 8 m
From statement A , Cost of painting = $ 25 per m2
From statement B , Area of window = ( 1 / 2) x area of the door
⇒ 2.25 m2 = ( 1 / 2) x area of the door ⇒ area of the door = 4.50 m2
From statement C , Area of the room = 15 m2.
The area of four walls = 2h( l + b ) = 2 x 8 ( 5 + 3 ) = 16 x 8 = 128 m2.
∴ Cost of painting the four walls = area x Cost of painting per m2 = 128 x 25 = $ 3200Correct Option: D
As per the given above question ,
Given , Length = 5 m , Width = 3 m and Height = 8 m
From statement A , Cost of painting = $ 25 per m2
From statement B , Area of window = ( 1 / 2) x area of the door
⇒ 2.25 m2 = ( 1 / 2) x area of the door ⇒ area of the door = 4.50 m2
From statement C , Area of the room = 15 m2.
The area of four walls = 2h( l + b ) = 2 x 8 ( 5 + 3 ) = 16 x 8 = 128 m2.
∴ Cost of painting the four walls = area x Cost of painting per m2 = 128 x 25 = $ 3200
The area off our walls can be easily determined with the help of the data given in the question. Now,the area of the windows and door with the help of (B) can be subtracted in the calculated area and then multiplied with the cost given in (A).
