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Q:

There are five cards lying on the table in one row. Five numbers from among 1 to 100 have to be written on them, one number per card, such that the difference between the numbers on any two adjacent cards is not divisible by 4. The remainder when each of the 5 numbers is divided by 4 is written down on another card (the 6th card) in order. How many sequences can be written down on the 6th card ?

A) 4 x 3^4 B) 3^4
C) 4^3 D) 3 x 4^3
 
Answer & Explanation Answer: A) 4 x 3^4

Explanation:

The remainder on the first card can be 0,1,2 or 3 i.e 4 possibilities.
The remainder of the number on the next card when divided by 4 can have 3 possible values (except the one occurred earlier).

For each value on the card the remainder can have 3 possible values.

The total number of possible sequences is: 4*3^4

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Filed Under: Permutations and Combinations

Q:

If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?

A) Wednesday B) Saturday
C) Monday D) Tuesday
 
Answer & Explanation Answer: A) Wednesday

Explanation:

First,we count the number of odd days for the left over days in the given period.

Here,given period is 15.8.2012 to 11.6.2013

Aug Sept Oct Nov Dec Jan Feb Mar Apr May Jun

16   30   31  30   31   31   28  31   30   31   11(left days)

2 + 2 + 3 + 2 + 3 + 3 + 0 + 3 + 2 + 3 + 4 (odd days) = 6 odd days

So,given day Thursday + 6 = Wednesday is the required result.

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Filed Under: Calendar

Q:

If Feb 12th,1986 falls on Wednesday then Jan 1st,1987 falls on which day?

A) Wednesday B) Tuesday
C) Thursday D) Friday
 
Answer & Explanation Answer: C) Thursday

Explanation:

First,we count the number of odd days for the left over days in the given period.

Here,given period is 12.2.1986 to 1.1.1987

Feb Mar Apr May June July  Aug Sept Oct Nov Dec Jan

16   31    30  31   30    31   31   30   31  30   31   1 (left days)

2 + 3 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 3 + 1(odd days) = 1 odd day

So,given day Wednesday + 1 = Thursday is the required result.

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Filed Under: Calendar

Q:

If July 9th,2013 falls on Sunday then Jan 7th,2014 falls on which day?

A) Sunday B) Saturday
C) Monday D) Friday
 
Answer & Explanation Answer: A) Sunday

Explanation:

 

First,we count the number of odd days for the left over days in the given period.Here,given period is 09-07-2013 to 07-01-2014

Month Jul Aug Sep Oct Nov Dec Jan
Days 22 31 30 31 30 31 7
Odd Days 1 3 2 3 2 3 0

 Therefore, No. of Odd Days =  1 + 3 + 2 + 3 + 2 + 3 + 0 = 14 = 0 odd days

So, given day Sunday + 0 = Saturday is the required result.

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Filed Under: Calendar

Q:

If Mar 18th,1994 falls on Friday then Feb 25th,1995 falls on which day?

A) Wednesday B) Monday
C) Saturday D) Sunday
 
Answer & Explanation Answer: C) Saturday

Explanation:

First,we count the number of odd days for the left over days in the given period.Here,given period is 18.3.1994 to 25.2.1995

Month Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb
Days 13 30 31 30 31 31 30 31 30 31 31 25
Odd Days 6 2 3 2 3 3 2 3 2 3 3 4

Therefore, No. of Odd Days = 6 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 3 + 3 + 4 = 36 = 1 odd day

So, given day Friday + 1 = Saturday is the required result.

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Filed Under: Calendar

Q:

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

A) Saturday B) Friday
C) Monday D) Tuesday
 
Answer & Explanation Answer: B) Friday

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday

S0, 8th Dec, 2006 is Friday.

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Filed Under: Calendar

Q:

On 19th June, 1984 Monday falls. What day of the week was it on 19th June, 1985?

A) Sunday B) Monday
C) Tuesday D) Wednesday
 
Answer & Explanation Answer: C) Tuesday

Explanation:

The year 1985 is an ordinary year. So, it has 1 odd day.

So, the day on 19th June, 1985 will be 1 day after the day on 19th June, 1984.

But, 19th June,1984 is Monday

S0, 19th June, 1985 is Tuesday.

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Filed Under: Calendar

Q:

The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is

A) 4m B) 5m
C) 6m D) 7m
 
Answer & Explanation Answer: A) 4m

Explanation:

Let width = x

Then, height = 6x and length = 42x 

42x * 6x * x = 16128

x = 4

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO