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Maths Data Sufficiency Questions PDF with Solution for Bank, Insurance and CET Exam

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 all the statements and give answer:
1
Pranav and Pankaj started working together. After a few days, Prashant joined them and they were able to finish the work in 10 days. All of them together were paid a total of Rs. 800. Find the share of Prashant.
 
Statement I : Pranav can do the work in 20 days, while Pankaj can do the same work in 25 days.
 
Statement II : Pranav can do the work in 60 days, while Pankaj can do the same work in 15 days.
» Explain it
C
From statement I:

In 1 day, Pranav finishes 1/20th of the work.

In 1 day, Pankaj finishes 1/25th of the work.

The work was completed in 10 days.

Part of work completed by Pranav and Pankaj in 10 days

= 10  ( 1  +  1 )  =  9
20 25 10

Part of work completed by Prashant = 1 –  9  =  1
10 10

Amount received as payment will be proportional to the amount of work done.

Amount paid to Prashant =  800 × 1  = Rs. 80
10

Similarly, from statement II we also can find the share of Prashant.

∴ Either of the statements alone is sufficient to answer this question.

Hence, option C is correct.
» Explain it
A
From statement I:

Share of profit of P and Q will be in the ratio of 4 : 7

After two years,

Let the share of profit of Q be Rs. y

∴  4  =  95000
7 y

⇒ y =  95000 × 7
4

⇒ y = Rs. 166250

∴ Statement I alone is sufficient to answer.

From statement II: Only P's investment is given so we can't find the profit of Q.

Hence, option A is correct.
» Explain it
D
From Statements I and II:

40% of girls participated in the event, which is equals to 120

∴ 100% ⇒  120  × 100 = 300
40

∴ Total number of girls in the college = 300

The number of boys who participated in the event
⇒ 300 ×  100  = 240
125

Total number of boys participated is 240, which is equals to 60%

∴ 100% ⇒  240 × 100 = 400
60

∴ Total number of boys in the college = 400

∴ Statement I and II together are necessary to answer the questions.

Hence, option D is correct.
» Explain it
C
From statement I: 
 
Let the total population of Kanpur be X.
 
⇒ 32X – 29X = 24000 
 
⇒ 4X = 24000 
 
⇒ X = 6000 
 
∴ The total population 33X + 29X = 62X 
 
62X = 62 × 6000 = 372000
 
From statement II: 
 
Let the total population of Kanpur be X.
 
So, population of Patna =  100X  =  5X
60 3

∴  5X  – X = 35000
3

⇒ 2X = 105000 
 
⇒ X = 52500 
 
∴ Statement I or II alone is sufficient to answer the question.
 
Hence, option C is correct.
» Explain it
D
Let the speed of trains A and B be x and y respectively

From statements I:

Total distance = 140 + 130 = 270 metres

Relative speed = (x – y)

∵ Speed =  Distance
Time

∴ (x – y) =  270  ..........(i)
54

From statement II:

Relative speed = x + y

⇒ x + y =  270  ...........(ii)
24

By using equations (i) and (ii), we can calculate the value of x and y

∴ Both the statements are required to answer this question.

Hence, option D is correct.