A) 6 | B) 9 |

C) 24 | D) 30 |

Explanation:

Volume of block=(6x9x12) = 648

Side of largest cube = H.C.F of 6,9,12 = 3cm

Volume of the cube=(3x3x3)=27

Number of cubes=(648/27)=24

A) 3 | B) 4 |

C) 5 | D) 2 |

Explanation:

Water required = 4000 x 140 = 560000 lit = 560 cu.m (**1 cu.m = 1000 lit**)

Volume of tank = 18 x 12 x 8 = 1728 cu.m

Water of this tank will suffice for = 1728/560 = **3 days.**

A) 20 | B) 19 |

C) 17 | D) 22 |

Explanation:

Given height of the conical tent = 3 m

Diameter = 10 => Radius = D/2 = 10/2 = 5 m

Now, as the tent is in the conical form

Volume of the conical tent =** **

=> 22 x 5 x 5 x 3 / 7 x 3

= 22 x 25/7

= **78.54 cu.m**

Given each person requires 3.92 cu.m of air

=> Number of persons can be seated in the tent = **78.54/3.92 = 20.03 =~ 20**

A) 1:3 | B) 2:1 |

C) 3:4 | D) 4:7 |

A) 2413 sq.m | B) 1234 sq.m |

C) 4312 sq.m | D) 2143 sq.m |

Explanation:

Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.

2∏s = 264 and 2∏l = 352

s = 264/2∏ and l = 352/2∏

Difference between the areas = ∏ - ∏

= ∏{1762/∏∏ - 1322/∏∏}

= 1762/∏ - 1322/∏

= (176 - 132)(176 + 132)/∏

= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m

A) 100 π | B) 101/π |

C) 99 π/12 | D) 54/13π |

Explanation:

4/3 π x 10 x 10 x 10 = 8 x 4/3 π rxrxr

r = 5

4π x 5 x 5 = 100π