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Important Formulas

Vedic/Quicker Math

Alligation or Mixture

Area

Average

Banker's Discount

Boats and Streams

Calendar

Chain Rule

Clock

Compound Interest

Decimal Fraction

Height and Distance

Logarithm

Numbers

Odd Man Out and Series

Partnership

Percentage

Permutation & Combination

Pipes and Cistern

Probability

Problems on Ages

Problems on H.C.F & L.C.M

Problems on Numbers

Problems on Trains

Profit & Loss

Races and Games

Ratio and Proportion

Simple Interest

Simplification

Square Root and Cube Root

Stocks and Shares

Surds and Indices

Time and Distance

Time and Work

True Discount

Practice Questions

:- You can add tough questions into
your favourite list for second revision. Note |

Q1. | A cuboidal, block of 6 cm X 9 cm X 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be : |

A. | 6 [Wrong Answer] |

B. | 9 [Wrong Answer] |

C. | 24 [Correct Answer] |

D. | 30 [Wrong Answer] |

View Answer
Explanation:-
Answer : CDiscuss it below :Volume of block = (6 X 9 X 12) cm^{3} = 648 cm^{3}.Side of largest cube = H.C.F. of 6 cm, 9 cm, 12 cm = 3 cm. Volume of this cube = (3 X 3 X 3) = 27 cm ^{3}.Number of cubes = ^{648}/_{27}Click here for more comments |

Q2. | What is the volume of a cube (in cubic cm) whose diagonal measures ^{4}√3 cm ? |

A. | 8 [Wrong Answer] |

B. | 16 [Wrong Answer] |

C. | 27 [Wrong Answer] |

D. | 64 [Correct Answer] |

View Answer
Explanation:-
Answer : DDiscuss it below :√3 a =
^{4}√3 ⇒ a = 4.So Volume = (4 x 4 x 4) cm ^{3} = 64 cm^{3}.
Click here for more comments |

Q3. | The edges of a cuboid are in the ratio 1 : 2 : 3 and its sunface area is 88 cm^{2}. The
volume of the cuboid is : |

A. | 24 cm^{3} [Wrong Answer] |

B. | 48 cm^{3} [Correct Answer] |

C. | 64 cm^{3} [Wrong Answer] |

D. | 120 cm^{3} [Wrong Answer] |

View Answer
Explanation:-
Answer : BDiscuss it below :Let the dimensions of the cuboid be x, 2x and 3x.Then, 2 (x X 2x + 2x X 3x + x X 3x) = 88 ⇔ 2X2 6X2 + 3X2 = 44 ⇔ 11X2 = 44 ⇔ X2 = 4 ⇔ x = 2. Volume of the Cuboid = (2 X 4 X 6) cm ^{3} = 48 cm^{3}.
Click here for more comments |

Q4. | The areas of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to : |

A. | the volume of the box [Wrong Answer] |

B. | twice the volume of the box [Wrong Answer] |

C. | the square of the volume of the box [Correct Answer] |

D. | the cube root of the volume of the box [Wrong Answer] |

View Answer
Explanation:-
Answer : CDiscuss it below :Let length = 1, breadth = b and height = h. Then,Product of areas of 3 adjacent faces = (lb x bh x 1h) = (lbh) ^{2} = (Volume)^{2}.
Click here for more comments |

Q5. | A boat having a length 3 m and breadth 2 m is floating on a lake The boat sinks by 1 cm when a man gets on it. The mass of man is : |

A. | 12 kg [Wrong Answer] |

B. | 60 kg [Correct Answer] |

C. | 72 kg [Wrong Answer] |

D. | 96 kg [Wrong Answer] |

View Answer
Explanation:-
Answer : BDiscuss it below :Volume of water displaced = (3 X 2 X 0.01) m^{3} = 0.06 m^{3}.Mass of man = Volume of water displaced X Density of water = (0.06 X 1000) kg = 60 kg. Click here for more comments |

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