# CAT Questions

Q:

What was the day on 15th august 1947 ?

 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.

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Q:

A man is facing north-west. He turns $\inline 90^{o}$ in the clockwise direction, then $\inline 180^{o}$ in the anticlockwise direction and then another $\inline 90^{o}$ in the same direction. Which direction is he facing now?

 A) South B) South-west C) South-east D) East

Explanation:

As shown in fig. the man initially faces in the direction OP. On moving $\inline 90^{o}$ clockwise, he faces in the direction OX. On further moving $\inline 180^{o}$ anticlockwise, he faces in the direction OY. Finally, on moving $\inline 90^{o}$ anticlockwise, he faces in the direction OZ, which is South-east.

19 2765
Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

 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,

Then, 7C1 x 6C2 x 4C4
= 7 x $\inline \fn_jvn \small \frac{6x5}{2}$ x 1
= 7 x 15 = 105.

6 2358
Q:

Kempegowda Festival was organized in which city ?

 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.

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5 2069
Q:

How Many Prime ministers have conferred with Bharat Ratna upto November 2014 ?