- Data Sufficiency Quiz 16
- Data Sufficiency Quiz 15
- Data Sufficiency Quiz 14
- Data Sufficiency Quiz 13
- Data Sufficiency Quiz 12
- Data Sufficiency Quiz 11
- Data Sufficiency Quiz 10
- Data Sufficiency Quiz 9
- Data Sufficiency Quiz 8
- Data Sufficiency Quiz 7
- Data Sufficiency Quiz 6
- Data Sufficiency Quiz 5
- Data Sufficiency Quiz 4
- Data Sufficiency Quiz 3
- Data Sufficiency Quiz 2
- Data Sufficiency Quiz 1

Important for :

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.

C

In 1 day, Pranav finishes 1/20

In 1 day, Pankaj finishes 1/25

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.

2

Two partners, P and Q entered in a business, what profit will Q get at the end of 2 years?

A

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.

Hence, option A is correct.

3

Find the number of boys in the college, if 60% of the total boys and 40% of the total girls participated in an event.

D

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.

4

Find the total population of Kanpur.

C

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

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.

5

Find the speeds of trains A and B, if running in the same direction the faster train passes the slower in 54 seconds. The speed of train A is more than train B.

D

Let the speed of trains A and B be x and y respectivelyTotal distance = 140 + 130 = 270 metres

Relative speed = (x – y)

∵ Speed = | Distance |

Time |

∴ (x – y) = | 270 | ..........(i) |

54 |

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.