#
CAT Questions

A) Friday | B) Saturday |

C) Sunday | D) Thursday |

Explanation:

15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)

Odd days in 1600 years = 0

Odd days in 300 years = 1

46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day

Jan. Feb. Mar. Apr. May. Jun. Jul. Aug

( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.

Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days.

Hence, as the number of odd days = 5 , given day is Friday.

A) 105 | B) 7! x 6! |

C) 7!/5! | D) 420 |

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,

^{7}C

_{1 }x

^{6}C

_{2 }x

^{4}C

_{4 }

_{ = 7 x x 1 }

_{ = 7 x 15 = 105.}

A) Hyderabad | B) Delhi |

C) Mumbai | D) Chennai |

Explanation:

President Pranab Mukherjee inaugurated the Kempegowda Festival in New Delhi. The festival is organised by the NadaprabhuKempegowda Foundation.

A) Rs. 4000 | B) Rs. 6000 |

C) Rs. 9000 | D) Rs. 3000 |

Explanation:

Given ratio of initial investments = = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

=

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = = Rs. 4000.