M4maths Previous Puzzles

15 Jun 2016 Coded Language

If in coded language
JOSAKILM = 25
WAKLIF = 16
JASKULV = 20
OYALKUME = 24
Then
MNKBRB = ?

OPtion

1) 24
2) 25
3) 16
4) 20
5) 32
6) 21
7) 14
8) 12
9) 27
10)19

Solution

Word JOSAKILM contains 5 consonants and 3 vowels
Code is (5*3) + (5-3) + (5+3) = 15 + 2 + 8 = 25
Similarly for others.
MNKBRB
(6*0)+(6-0)+(6+0) = 0+6+6 = 12

Option 8)

Correct Option: 8 Best Solution (9)

14 Jun 2016 Age Problem

One year ago the ratio of Kamal and Sudhir's ages was 4:5. One year hence the ratio of their ages will be 5:6. The present age of Sudhir is

OPtion

1) 9
2) 10
3) 11
4) 12
5) 13
6) 6
7) 8
8) 14
9) 7
10)None of these

Solution

Let their ages 1 year ago be 4x and 5x
4x+2 / 5x+2 = 5/6
=> 6(4x+2) = 5(5x+2) => x=2
Therefore
Sudhir's present age = 5x+1 = 10+1 = 11

Option 3)

Correct Option: 3 Best Solution (32)

13 Jun 2016 Sequence

What is the next number of the following sequence
79, 159, 279, 519, .......

OPtion

1) 549
2) 596
3) 619
4) 579
5) 669
6) 636
7) 609
8) 682
9) 639
10)None of these

Solution

79
79 => 79+ (7+1)*(9+1) = 79+ 8*10 = 79+80 = 159
159 => 159+ (1+1)*(5+1)*(9+1) = 159+ 2*6*10 = 159+ 120 = 279
279 => 279+ (2+1)*(7+1)*(9+1) = 279+ 3*8*10 = 279+ 240 = 519
Similarly
519 => 519+ (5+1)*(1+1)*(9+1) = 519+ 6*2*10 = 519+ 120 = 639

Option 9)

Correct Option: 9 Best Solution (1)

10 Jun 2016 Difference in 2 years

The difference between simple interest and compound interest on a sum for 2 years at 8%, when the interest is compounded annually is Rs.16. If the interest were compounded half yearly, the difference in 2 years would be nearly.

OPtion

1) Rs.16
2) Rs.9
3) Rs.36.20
4) Rs.26.60
5) Rs.16.80
6) Rs.9.80
7) Rs.21.85
8) Rs.18.50
9) Rs.24.64
10)None of these

Solution

SI on (S.I. for 1 year) = Rs.16
SI on (P*1*8/100) = Rs.16
SI of P = Rs.200
Therefore
P = 100*200/8*1 = 2500
Amount for 2 years compounded half-yearly
= 2500*(1+ 4/100)^4 = 2924.64
CI = 424.64
SI = 400
CI - SI = 24.64
Option 9)

Correct Option: 9 Best Solution (11)

09 Jun 2016 Find the value

If
3456 = 246
2463 = 68
7534 = 79
3487 = 412
Then
5375 =

OPtion

1) 256
2) 148
3) 525
4) 535
5) 50
6) 118
7) 178
8) 85
9) 191
10)231

Solution

3456 = 3^0+4^1+5^2+6^3 = 1+4+25+216 = 246
Similarly for other cases

Option 7)

Correct Option: 7 Best Solution (15)

08 Jun 2016 mobile number

A ten digit number is taken in such a way that it is lying between 9582610000 and 9582620000. The last 4 digit of the number are 4 successive digits not necessarily taken in order. Average of these 4 digits is 5.5. On forming a new 4 digit number by taking these 4 digits in reverse order, we find a 4 digit number divisible by 2 but not by 4. The 10 digit number is divisible by 25. hundreds place of the number will be

OPtion

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

Solution

Let number is x
Given that
9582610000 < x < 9582620000
Sum of last 4 digit = 5.5*4 = 22
=> n + n+1 + n+2 + n+3 = 22
=> n = 4
So digit are 4,5,6,7 but not necessarily in order
10 digit number is divisible by 25 => last 2 digit are 75 in order so possible cases are
6475 and 4675
On making a number by reversing the digits we get 5746 or 5764. Both are divisible by 2 but 5746 is not divisible by 4 so last 4 digits are 6475 in order so number will be 9582616475
Hundreds place of the number will be 4

Correct Option: 6 Best Solution (2)

07 Jun 2016 Number of hours

Pipe A can fill a cistern in 4 hours while pipe B can empty it in 6 hours. If both of them are opened together at the same time when the tank is empty, the number of hours taken by them to fill it, is

OPtion

1) 2
2) 4
3) 6
4) 8
5) 10
6) 12
7) 14
8) 16
9) 18
10)None of these

Solution

Part filled in 1 hr = 1/4.
Part emptied in 1 hr = 1/6
Net filling in 1 hr = (1/4 - 1/6) = 1/12
Therefore
tank will be just full in 12 hours

Option 6)

Correct Option: 6 Best Solution (35)

06 Jun 2016 Sequence

What is the next number of the following sequence.
68, 133, 144, 163, .......



(Note - There was an error in the question; thus preventing you from getting the correct answer. As recompense, to all those who attempted the question before 12:50, we would provide with 20 points. The question has been edited, the new users can now attempt the question and gain points according to the previous guidelines.)

Users provided the answer before 12:50 please don't update your answer.

OPtion

1) 172
2) 178
3) 184
4) 176
5) 292
6) 196
7) 164
8) 232
9) 256
10)288

Solution

68
68+8^2 = 68+64 = 132+1 = 133
133+3^2 = 133+9 = 142+2 = 144
144+4^2 = 144+16 = 160+3 = 163
Similarly
163+3^2 = 163+9 = 172+4 = 176

Option 4)

Correct Option: 4 Best Solution (7)

03 Jun 2016 Compound Interest

The difference between the compounded interest and the simple interest on a certain sum at 10% per annum for 2 years is Rs.52. Find the sum.

OPtion

1) 4600
2) 6200
3) 6000
4) 5800
5) 5600
6) 4800
7) 6400
8) 5400
9) 5200
10)5000

Solution

SI = Rs.(x*10/100 * 2) = Rs.x/5
CI = Rs.(x * (1+ 10/100)^2 - x) = Rs. (21x / 100)
Therefore
CI - SI = (21x/100 - x/5) = x/100
So x/100 = 52
x = 5200
Hence sum = Rs. 5200

Correct Option: 9 Best Solution (9)

02 Jun 2016 Coded language

If in coded language
CAT = XAT
RAT = NAT
BAT = PAT
FAT = VAT
Then
HAT = ?

OPtion

1) YAT
2) MAT
3) SAT
4) ZAT
5) LAT
6) OAT
7) DAT
8) EAT
9) GAT
10)UAT

Solution

Here C is changed to X. The position of C in English alphabet is 3. 8 multiple of 3 is 24 and 24th letter in English alphabet is X.
Similarly R is changed to N. The position of R in English alphabet is 18. 8 multiple of 18 is 144 and 144th letter in English alphabet on taking running sequence as
ABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZ............... is N
Option 5)

Correct Option: 5 Best Solution (3)