- 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

Car A is moving behind car B in the same direction and the distance between them initially is 40 km and the speed of car B is 50 km/hr, then how long would car A take to cross car B. [Assume the length of the cars to be negligible]

B

We can calculate the speed of car B by this statement but the speed of car B is already given in the question.

Therefore, statement I alone is not sufficient to answer the question

Speed of car B = 50 km/hr

Distance between car A and car B = 40 km

Relative speed = 120 km/hr

Speed of car A = 120 – 50 = 70 km/hr

Required time taken by car A to cross car B

= | 40 | = 2 hours |

70 – 50 |

Therefore, statement II alone is sufficient to answer the question

So, the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.

Hence, option B is correct.

2

A man rows a boat upstream for a certain distance at a speed of 18 km/hr. If the ratio of speed of man in still water to the speed of stream is 5 : 2, find the time taken to row a boat downstream to cover the same distance covered upstream.

C

Let the speed of man in still water be 5x and speed of stream be 2x

Upstream speed = 18 km/hr

So, 5x – 2x = 18

3x = 18

x = 6 km/hr

Downstream speed = 5x + 2x = 7x = 7 x 6 = 42 km/hr

Let the distance covered upstream be x km

So, the distance covered downstream be x km

So, | x | + | x | = 3 | 4 |

18 | 42 | 7 |

x = 45 km

Time taken to row a boat downstream to cover the same distance covered upstream

= | 45 | = 1.07 hours |

42 |

Therefore, statement I alone is sufficient to answer the question

Let the speed of man in still water be 5x and the speed of stream be 2x

Upstream speed = 18 km/hr

So, 5x – 2x = 18

3x = 18; x = 6 km/hr

Downstream speed = 5x + 2x = 7x = 7 × 6 = 42 km/hr

Distance covered upstream = 18 × 2.5 = 45 km

Time taken to row a boat downstream to cover the same distance covered upstream

= | 45 | = 1.07 hours |

42 |

Therefore, statement II alone is sufficient to answer the question

So, the data either in Statement I or in Statement II alone are sufficient to answer the question.

Hence, option C is correct.

3

Vivek mixes water and milk in an empty container A. Find the amount of water mixed by Vivek.

D

Let, the amount of water and the amount of milk initially in the container = 5x litres and 13x litres, respectively

Amount of water sold by Vivek = | 5 | × 72 = 20 litres |

18 |

Amount of milk sold by Vivek = | 13 | × 72 = 52 llitres |

18 |

Since the amount of water and the amount of milk in 44 litres of the mixture which has been mixed later is not given

Therefore, statement I alone is not sufficient to answer the question

Let, the amount of water and the amount of milk initially in the container = 5x litres and 13x litres, respectively

Amount of water sold by Vivek = | 5 | × 72 = 20 litres |

18 |

Amount of milk sold by Vivek = | 13 | × 72 = 52 llitres |

18 |

Amount of water in 44 litres of mixture = | 5 | × 44 = 20 litres |

11 |

Amount of milk in 44 litres of mixture = | 6 | × 44 = 24 litres |

11 |

But the amount of mixture after mixing 44 litres of another mixture is not given

Therefore, statement II alone is not sufficient to answer the question

Let, the amount of water and the amount of milk initially in the container = 5x litres and 13x litres, respectively

And, the amount of water and the amount of milk after mixing 44 litres of mixture = 4y litres and 9y litres, respectively

Amount of water sold by Vivek = | 5 | × 72 = 20 litres |

18 |

Amount of milk sold by Vivek = | 13 | × 72 = 52 llitres |

18 |

Amount of water in 44 litres of mixture = | 5 | × 44 = 20 litres |

11 |

Amount of milk in 44 litres of mixture = | 6 | × 44 = 24 litres |

11 |

So, 5x – 20 + 20 = 4y

5x = 4y; y = | 5x |

4 |

And, 13x – 52 + 24 = 9y

13x – 28 = 9 × | 5x |

4 |

52x – 112 = 45y

7x = 112; x = 16

The amount of water mixed by Vivek = 5x = 80 litres

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

Hence, option D is correct.

4

Water and alcohol have been added in an empty container. Find the amount of water that has been added in the container.

A

Let, amount of water and alcohol mixed initially in the container be 11x and 5x, respectively

So, | 11x – 110 + 25 | = | 2 |

5x – 50 + 25 | 1 |

11x – 85 = 10x – 50

x = 35

Therefore, amount of water initially added in the container = 11 × 35 = 385 litres

Therefore, statement I alone is sufficient to answer the question

Let, amount of water and alcohol mixed initially in the container be 11x and 5x, respectively

Since, the ratio of water and alcohol in another mixture has not been given

Therefore, statement II alone is not sufficient to answer the question

So, the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

Hence, option A is correct.

5

There is a cylindrical tank in a society in which water is stored. What is the height of the tank?

A

Volume of the tank = 112 × 22 = 2464 m

πr

Curved surface area of the tank = | 2816 |
= 704 m^{2} |

4 |

2πrh = 704 m

So, |
πr^{2} h |
= | 2464 |

2πrh | 704 |

r | = 3.5 |

2 |

r = 7

Since 2 πrh = 704

h = | 204 × 7 | = 16 m |

2 × 22 × 7 |

Therefore, statement I alone is sufficient to answer the question

Curved surface area of the tank = 704 m

2πrh = 704 m

Since the rate at which the pipe is emptying the tank is not given

Therefore, we cannot find the height of the tank using the above information

Therefore, statement II alone is not sufficient to answer the question

So, the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

Hence, option A is correct.