#
GATE Questions

**Stack:**

- Stack is a ordered collection of items

- Stack is a dynamic object whose size is constantly changing as items are pushed and popped .

- Stack may contain different data types

**Array:**

- Array is an ordered collection of items

- Array is a static object i.e. no of item is fixed and is assigned by the declaration of the array

- It contains same data types.

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) Monday | B) Tuesday |

C) Wednesday | D) Friday |

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March. April. May. June.

(31 + 28 + 31 + 30 + 31 + 17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday.

A) 3.25% loss | B) 13.742% loss |

C) 3.25% gain | D) 13.742% gain |

Explanation:

Let CP = 100,

42 % increase => SP = 142

10 % discount in SP => ((142 x 10)/100) = 14.2

So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058

2nd SP = (127.8 - 14.058) = 113.742,

So finally CP = 100, SP = 113.742, => gain = 13.742%.

A) Identifiers | B) keywords |

C) Strings | D) None |

Explanation:

All the above listed options are c++ tokens .They include:

- keywords

- Identifiers

- Constants

- Strings

- operators