- 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

How many students from IIT Dhanbad got the placement?

E

Let, no. of students studying in IIT Dhanbad and IIT Kanpur are 3x and 4x respectively.

No. of students studying in IIT Kanpur who got placement

= | 4x × 80 | = | 16x |

100 | 5 |

No. of students studying in IIT Kanpur who got placement = 120% of No. of students studying in IIT Dhanbad who got placement hence,

⇒ | 16x | = 120% of y |

5 |

⇒ y = | 8x |

3 |

∴ Question cannot be answered even with the information in both the statements.

Hence, option E is correct.

2

Virat’s income is how much more than Rohit’s income?

E

Let the income of Virat’s wife is Rs. x per month.

∴ According to the statement

⇒ 0.05x = 975

⇒ x = 19500/-

∴ Virat’s income is 70% of x

= 19500 × | 70 | = Rs. 13650 |

100 |

Nothing is given about Rohit so we cannot find his income.

Rohit’s income can’t be calculated also from statement II.

Hence, option E is correct.

3

Two trains A and B are travelling towards each other on the same track. The initial distance between them is 91 km. Find the time, when the two trains will collide.

A

Let distance travelled by slow train be x km. In time ‘t’,Speed, 65 = distance/time = x/t

⇒ t = | x | ----(i) |

65 |

for faster train, in same time ‘t’,

Speed, 169 = | distance | = | x |

time | t |

⇒ t = | 91 – x | ----(ii) |

169 |

Equating (i & (ii),

⇒ | x | = | 91 – x |

65 | 169 |

⇒ 169x = 5915 – 65x

⇒ 234x = 5915

⇒ x = (5915/234)

Putting in (i),

⇒ t = | x | = | 5915/234 | = | 5915 | ||

65 | 65 | 234 × 65 |

= 23.33 minutes.

Nothing can be conclusive using statement II,

∴ only statement I is sufficient.

Hence, option A is correct.

4

Find the amount of money invested by Jamnalal in the scheme?

A

Let the invested amount be Rs. x⇒ SI = | P × r × n |

100 |

Increase in rate of interest = | 58 | – | 44 | = | 14 | % |

3 | 3 | 3 |

Increase in SI because of increased rate of interest:

⇒ x × | 14 | × | 1 |

3 | 100 |

This increase = Increase in income = 2800

⇒ x × | 14 | × | 1 | = 2800 |

3 | 100 |

⇒ x = | 280000 × 3 | = 60,000 |

14 |

⇒ SI = x

⇒ x = | x × 20 × 5 |

100 |

From here x cannot be calculated

∴ Statement I alone is sufficient while statement II is not.

Hence, option A is correct.

5

Pipe A and B can fill a tank at the rate of 12 and 10 litre per minute respectively. There is a leakage also in the same tank. What is the capacity of the tank?

C

If both pipes and a leak operate simultaneously, then 12 + 10 – 6 = 16 litre per minute.

⇒ Capacity of the tank = 16 × (5 × 60 + 45) = 5520 litres

Let the leak drain out at the rate of x litre per minute. Then if both pipes and a leak operate simultaneously, 12 + 10 – x = 22 – x litres per minute.

⇒ Capacity of the tank = (22 – x) (5 × 60 + 45)

And again capacity of the tank = x (15 × 60 + 20)

Equal both above equations to obtain the value of x i.e. 6 litre per minute. Now put it any of the above equation to obtain the capacity of the tank.

∴ Either of two statements would be sufficient to obtain the solution.

Hence, option C is correct.