M4maths Previous Puzzles

10 Jul 2009 Make the word (FRIDAY AGAIN)

A word (either meaningful or not) is formed of 2 vowels and 4 consonants. One vowel and
one consonant revise itself therefore totally 8 letters are used in the word. The difference in
the positions of revised consonants in the word is 1 and the difference in the positions
of revised vowels in the word is 5. The starting letter of the word comes after 4 places than
last letter of the word in English alphabet. The sum of positions in English alphabet of middle
two letters in the word and the sum of positions in English alphabet of third letter from start
and from end in the word are divisible by the number of days in a week. If the letters used
in the word are A, H, M, N, O and R, then which one of the following word is incorrect according
to the given condition

OPtion

1) RAMMOHAN,
2) RAHOMMAN,
3) RAMMHOAN,
4) ROHAMMON,
5) ROHAMMAN
6) RAOHMMAN,
7) ROMMAHON,
8) ROAHMMON,
9) ROMMHAON

Solution

The starting letter of the word comes after 4 places than last letter of the word in English alphabet,
This condition is valid only for N and R hence starting letter is R and last is N.
The sum of positions in English alphabet of middle two letters in the word and the sum of positions
in English alphabet of third letter from start and from end in the word are divisible by the number of days in a week.
Possible sets of letters which satisfies the condition are (A, M), (H, M), (M, O), (N, N),
The difference in the positions of revised consonants in the word is 1,
Therefore revised consonants have successive positions.
The difference in the
positions of revised vowels in the word is 5,
Therefore their definite positions are 2nd and 6th.
Arrange these conditions.

Correct Option: 5 Best Solution (1)

09 Jul 2009 A B C D has been changed

If symbols of alphabets (without any change in their sense and meaning) would be as given below
L M V A K B N C P I D Y O S E Q R F T H G J U W Z X then "WORLDCUP"
would be written as

OPtion

1) UEFAYVGQ
2) UEFYKVGQ
3) UEFYAMQG
4) UEFYAVGQ
5) UFEYAVGQ
6) UEFYAVQG
7) UEFVYAGQ
8) UEFYAVJQ
9) UEFYAVGR
10) UEFZAVGQ

Solution

On comparing this sequence of alphabet with basic sequence we get the new word for WORLDCUP.

Correct Option: 4 Best Solution (1)

08 Jul 2009 arrange the boys

Seven boys are arranged in a row in such a way that
• Ravi is third from Kapil.
• Lakhan and Shyam are together.
• The modulus of difference between the position of Sumit and Ram is 5.
• Geometrical mean of position of Lakhan and Ram is 2.
• Mohan is nearer to Ravi than Kapil.
Arrange all the boys in a correct sequence such that they follow the above written conditions.

OPtion

1) Ram, Mohan, Shyam, Lakhan, Ravi, Sumit, Kapil
2) Ram, Mohan, Shyam, Lakhan, Kapil, Sumit, Ravi
3) Ram, Mohan, Lakhan, Shyam, Ravi, Sumit, Kapil
4) Mohan, Ram, Shyam, Lakhan, Ravi, Sumit, Kapil
5) Lakhan, Mohan, Shyam, Ram, Ravi, Sumit, Kapil
6) Lakhan, Mohan, Shyam, Ram, Kapil, Sumit, Ravi
7) Shyam, Lakhan, Ravi, Sumit, Ram, Kapil, Mohan
8) Ram, Ravi, Sumit, Kapil, Mohan, Shyam, Lakhan
9) Sumit, Mohan, Shyam, Lakhan, Ravi, Ram, Kapil
10) Ram, Kapil, Shyam, Lakhan, Ravi, Sumit, Mohan

Solution

Geometrical mean of position of Lakhan and Ram is 2
=> Their positions are necessarily 1st and 4th
Since the modulus of difference between the position of Sumit and Ram is 5
=> Ram is necessarily 1 (if Ram would be at 4th position then it would be difficult to place Sumit)
It is very clear now to say that Sumit is 6th and Lakhan is 4th
Lakhan and Shyam are together
=> Shyam is either 3rd or 5th

If Shyam would be at 5th position then the statement "Ravi is third from Kapil." would be impossible. Therefore it should be 3rd
Ravi and Kapil will take 5th and 7th place
Mohan is at 2nd finally
Since Mohan is nearer to Ravi than Kapil
Therefore Ravi will be 5th.

Correct Option: 1 Best Solution (0)

07 Jul 2009 Hidden Symbol

If a hidden symbol for

WFINZD is 000001
PYMOKL is 100100
UAHQBT is 010120

Then the similar symbol for ERSCGX is

OPtion

1) 012001
2) 012001
3) 000100
4) 112110
5) 121200
6) 000110
7) 000010
8) 010101
9) 010000
10) 000002

Solution

In this hidden language every alphabet has the code number equal to the number of closed area present in the alphabet.
For example A has 1 closed triangle in it, B has 2 hemispheres present in it similarly C is open hence its code is 0.

Correct Option: 9 Best Solution (0)

06 Jul 2009 Decode the word BIG

If symbolically
SUN is 8613
And SKY is 8162
Then BIG is

OPtion

1) 297
2) 2519
3) 567
4) 251820
5) 4523
6) 251821
7) 201825
8) 4321
9) 675
10) 254321

Solution

Here codes are arranged in the manner given below
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

Correct Option: 4 Best Solution (0)

03 Jul 2009 Birds are flying (Friday again)

Following codes are provided to the sentences given in the table below:

No. Sentence Code
1. Ram is going 2
2. Mohan was singing 6

Code for "Birds are flying" is

OPtion

1) 0,
2) 1,
3) 2,
4) 3,
5) 4,
6) 5,
7) 6,
8) 7,
9) 8,
10) 9,

Solution

Ram is going
= (18+1+13), (9+19), (7+15+9+14+7) (According to positions of alphabets)
= 32, 28, 52
= 5, 10, 7 (Sum of the digits of the number)
= 5, 1, 7 (Sum of the digits of the number)
= 5-1+7
= 11
= 2 (Sum of the digits of the number)
Similarly Mohan was singing
= (13+15+8+1+14), (23+1+19), (19+9+14+7+9+14+7)
= 51, 43, 79
= 6, 7, 16
= 6, 7, 7
= 6-7+7
= 6
Take similar steps for ‘Birds are flying” we get
(2+9+18+4+19), (1+18+5), (6+12+25+9+14+7)
= 52, 24, 73
= 7, 6, 10
= 7, 6, 1
= 7-6+1
= 2

Correct Option: 3 Best Solution (0)

02 Jul 2009 Independence Day (Hard)

If 17th June 1984 is coded as 14th January 89 and 23rd November 1977 is coded as 12th November 79
Then the code used for Independence Day is

OPtion

1). 1 April 79
2). 11th April 89
3). 11th January 89
4). 14th june 79
5). 10th April 69
6). 1 April 89
7). 14th January 89
8). 11th April 79
9). 10th june 59
10). 10th April 49

Solution

17th June 1984 - 17-06-1984
- 01-14-67-89 In increasing order
Code is - 14th January 89
Similarly
23rd November 1977 - 23-11-1977
- 11-12-37-79
Code is - 12th November 79
Similarly
15th August 1947 - 15-08-1947
- 01-14-57-89 In increasing order
Code is - 14th January 89

Correct Option: 7 Best Solution (0)

01 Jul 2009 BODMAS

If 4+4=1, 6-4=24 8x4=4 7/4=11
Then according to the laws of BODMAS
14+ [16/ {(6x7)-(5/4)}] =?

OPtion

1) 2
2) 7/3
3) 14.393
4) 21
5) 0.247
6) 2.333
7) -7.875
8) 0.016
9) 0.036
10) -7/3

Solution

: After taking the exact notations as used in our arithmetic operations
We get the expression in the following form:-
14÷ [16+ {(6-7) × (5+4)}]
=14÷ [16+ {-1 × 9}]
=14÷ [16+ {-9}]
=14÷ [7]
=2

Correct Option: 1 Best Solution (1)

30 Jun 2009 lie or truth

If Ram and Shyam tell a lie and Harish tells truth
X A
Y B
Z C
For the table
Ram says that X is not matched with A
Harish says that Y is not matched with B
Shyam says that Z is matched with A
Correct one in these 10 answers is

OPtion

1. X – B, Y – A, C Z – B, C
2. X – A Y – B Z – C
3. X – A, B Y – C Z – A, B, C
4. X – B, C Y – A, C Z – A, B
5. X – A, Y – A, B Z – B, C
6. X – A Y – A, C Z – B, C
7. X – B Y – A Z – C
8. X – B, C Y – A, B Z – C
9. X – C Y – A, B, C Z – B, C
10. X – A Y – A, B, C Z – B, C

Solution

Since Ram tells a lie therefore X – A
Harish tells truth therefore Y – A, C
Shyam tells a lie therefore Z – B, C

Correct Option: 6 Best Solution (2)

29 Jun 2009 Position in Dictionary

What is the position of word “FIRST” in a dictionary of words formed by using letters of word “FIRST”?

OPtion

1) 1,
2) 2,
3) 16,
4) 31,
5) 32,
6) 33,
7) 88,
8) 92,
9) 103,
10) 114

Solution

"FIRST" has all the letters in a correct increasing sequence hence it is first in a dictionary formed by using letters of word "FIRST"

Correct Option: 1 Best Solution (1)