M4maths Previous Puzzles

20 Aug 2009 profit and loss

After dividing an amount into two parts, Mr. Suresh invests these parts in two different business.
In first, he gains 50% profit whereas in second he has a loss of 25 %.Total profit of
Mr. Suresh in first business is 1888 rupee. What is the total investment of Mr. Suresh if he gains
23 % profit over all.

OPtion

1. 5775
2. 6465
3. 5900
4. 6732
5. 6963
6. 5421
7. 5328
8. 5855
9. 5515
10. 6712

Solution

(One variable solution)
Consider that 100 Rs is invested, then two parts are x & (100 - x)
Taking 50 % profit x becomes (3/2) x
& taking 25% loss (100 – x) becomes (3/4)(100 – x)
As total profit is 23 % hence
[(3/2)x +(3/4)(100 – x)] – 100 = 23
On solving x = 64
Profit = 64 * 50/100 = 32 in every 100 rupee
Overall profit in first business = 1888
Total investment = 100 * 1888 / 32 = 5900

Alternate method
Let total investment = P & part investments are x & (P – x)
According to given condition
x/2 = 1888 implies x = 3776
Similarly according to other condition
3x/2 +(3/4)(P – x) = P 123/100
=>3/2 * 3776 +(3/4)(P – 3776) = P 123/ 100
=>3 * 1888 + (3 /4) P – 3 * 944 = 123 P/100
=>5664 – 2832 = 123 P /100 – (3/4) P
=>2832 = (123 P – 75 P)/100
=>2832 = 48 P/100
=>P = 2832 * 100/ 48 = 5900.

Correct Option: 3 Best Solution (2)

19 Aug 2009 item price

A man purchases three objects of consecutive prices. The number of purchased objects are
1, 2 & 3. He pays Rs 115 to shopkeeper.If all prices are taken in integers, then out of 10 choices,
the price of that object, whose 3 pieces are purchased, is

OPtion

1. 18
2. 20
3. 21
4. 22
5. 24
6. 17
7. 16
8. 26
9. 12
10. 28

Solution

6 cases arise
1x + 2(x + 1) + 3(x + 2) = 115 => x ≠ integers
1x + 3(x + 1) + 2(x + 2) = 115 => x = 18
2x + 1(x + 1) + 3(x + 2) = 115 => x = 18
2x + 3(x + 1) + 1(x + 2) = 115 => x ≠integer
3x + 1(x + 1) + 2(x + 2) = 115 => x ≠ integer
3x + 2(x + 1) + 1(x + 2) = 115 => x ≠ integer
Since x = 18, hence solutions are 19 & 20 according to 2nd and 3rd conditions given above,
Out of 10 choices, 20 is correct

Correct Option: 2 Best Solution (0)

18 Aug 2009 Vodafone Code

Some communication provider companies and their coded numbers are given below.
NOKIA = 1100
AIRTEL = 0021
HUTCH = 13
SPICE = 210
Similar code for VODAFONE IS

OPtion

1. 35
2. 1230
3. 321
4. 11110
5. 10210
6. 12210
7. 2100
8. 2121
9. 438
10. 41

Solution

In NOKIA, there are three vowels in the word, number of consonants between these vowels are obtained by the following manner.
NOKIA
(1 letter) O (1 letter) I (0 letter) A (0 letter)
Hence code = 1100
Similarly AIRTEL
(0 letter) A (0 letter) I (2 letter) E (1 letter)
Code is 0021
Taking similar steps for VODAFONE
V O D A F O N E
(1 letter) O (1 letter) A (1 letter) O (1 letter) E (0 letter)
Code is 11110

Correct Option: 4 Best Solution (0)

17 Aug 2009 square puzzle

If x^2 = 49 => x = 2
& x^2 = 64 => x = 1
Then x^2 = 144 => x = ?

OPtion

1. 4
2. 12
3. 7
4. 5
5. 2
6. 1
7. 3
8. 11
9. 10
10. 9

Solution

x^2 = 49 = 4 + 9 = 13 = 1 + 3 = 4
Hence x = √4 = 2
Similarly x^2 = 64 = 6 + 4 = 10 = 1 + 0 = 1
Hence x = √1 = 1
Similarly x^2 = 144 = 1 + 4 + 4 = 9
Hence x = √9 = 3

Correct Option: 7 Best Solution (1)

14 Aug 2009 Break the notation (Level Hard)

If 4^99 = D
6^159 = F
3^1752 = A
Then 7^999 is
where ^ represents power of

OPtion

1) H
2) D
3) E
4) F
5) G
6) A
7) B
8) C
9) I

Solution

On solving, 4^99 has 4 in unit’s place and fourth alphabet is D hence code is D.
Similarly on solving, 6^159 has 6 in unit’s place and sixth alphabet is F hence code is F
Take similar steps for finding the code for 7^999.

Correct Option: 8 Best Solution (1)

13 Aug 2009 Find the similar set

There are four set of alphabets
(B, K, T), (F, O, X), (D, M, V), (H, Q, Z)
A set out of the sets given below following the same concept is

OPtion

1) (B, L)
2) (G, P, Z)
3) (C, M, W)
4) (D, M, N)
5) (I, R, Z)
6) (A, J, T)
7) (I, R)
8) (C, K)
9) (D, N)
10) (H, P)

Solution

First set contains three letters B, K, T
Position of B in English alphabet is 2
Position of K in English alphabet is 11=1+1=2
Position of T in English alphabet is 20=2+0=2
Thus all the alphabets of a set have similar positional value.
Similarly for other sets
Now out of ten choices only (I, R) has the same concept
Position of I in English alphabet is 9
Position of R in English alphabet is 18=1+8=9

Correct Option: 7 Best Solution (0)

12 Aug 2009 find the next number

Next number of the following sequence is
673, 697, 10117, 125422, 878842,.........

OPtion

1) 897723432
2) 4567583
3) 23489763
4) 12854980
5) 980932452
6) 89121199
7) 991657899
8) 987043526
9) 5678437
10) 6758493

Solution

Coding is as given below:
673 is converted as (6+1)|(7+2)|(3+3), on reversing we get 697,
697 is converted as (6+1)|(9+2)|(7+3), on reversing we get 10117,
10117 is converted as (1+1)|(0+2)|(1+3)|(1+4)|(7+5), on reversing we get 125422
Take similar steps for finding answer.

Correct Option: 6 Best Solution (0)

11 Aug 2009 set of numbers

Five set of numbers from 1 to 10 are formed as (1, 2), (3, 4), (5, 6), (7, 8) & (9, 10)
If first set is coded as 5
Second set is coded as 7
Third set is coded as 6
Fourth set is coded as 8
Then code for fifth set is

OPtion

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

Solution

There are total 5 letters used in the spellings of ONE and TWO. These letters are {O, N, E, T, W} (Repeated letter will not be counted twice)
Similarly for all sets.

Correct Option: 3 Best Solution (0)

10 Aug 2009 Fill the blank Space

792 6318 1838
463 2418 848
682 4816 .....
Number in blank space will be-

OPtion

1) 9820
2) 5467
3) 2341
4) 786
5) 456
6) 3286
7) 345
8) 2134
9) 749
10) 2314

Solution

First number is 792
Next number is 7*9|9*2= 6318
Next number is 6*3|3*1|1*8= 1838
Similarly for second set
First number is 463
Next number is 4*6|6*3= 2418
Next number is 2*4|4*1|1*8= 848
Take similar steps for obtaining the answer.

Correct Option: 6 Best Solution (2)

07 Aug 2009 toothpast

Name of four famous toothpaste companies are COLGATE, CLOSEUP, CIBACA and PEPSODENT.
Codes are given to the following toothpastes as given below
Toothpaste Code
COLGATE 310861135
CLOSEUP 38101251411
CIBACA 372131
Then code for PEPSODENT is

OPtion

1) 11511121045913
2) 14714589234313
3) 1417586212
4) 1478537616213
5) 12412584374
6) 35351435357113
7) 123128765364
8) 3538876565
9) 9597658795613
10) 134135788465

Solution

Alphabets used in the names of following companies are
A B C D E G I L N O P S T U
Numbers are given for the following alphabets in an increasing order
A B C D E G I L N O P S T U
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Codes are formed on the basis of following numbers
For COLGATE code is 3|10|8|6|1|13|5 similarly for others

Correct Option: 1 Best Solution (0)